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ApContrDemInd-11-2

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DEI - PUC/Rio
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DEI - PUC/Rio
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Controle de estoques sob demanda independente
Leonardo Junqueira Lustosa 
Rodrigo Jorge de Oliveira
DEI - PUC/Rio
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DEI - PUC/Rio
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DEI - PUC/Rio
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Demanda independente: Políticas de controle
t
 I
Controle (s, Q)
Pedido
Pedido
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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ljl
Demanda independente: Políticas de controle
Controle (s, Q) aspecto real
t
 I
 Q
 s
Pedido
Pedido
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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ljl
Demanda independente: Políticas de controle
Controle (s, Q), demanda lisa
t
 I
 Q
 s
Pedido
Pedido
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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Demanda independente: Políticas de controle
Tempo de reposição maior do que o tempo de ciclo
Q
TR
TR
TR
estoque em mãos
posição de estoque
Q
colocação de pedido
 
t
I
s
Note que: (a) s é a demanda durante o TR e (b) quando se coloca um pedido, já há outro pedido ainda por ser recebido.
TR
Posição de estoque = em mão + encomendas por chegar (- empenhos)
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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Demanda independente: Políticas de controle
 
 
I
T’
T
T’’
TR
TR
TR
Q
s
s+Q
Controle (s, S) aspecto real
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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Demanda independente: Políticas de controle
 
Controle (R, S) aspecto real
TR
TR
R
R
R
DTR
Q
S
I
t
tamanho do pedido
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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Se ponto s = demanda média durante o TR a probabilidade de faltar num ciclo será grande. Igual a 0,5 se a densidade de probab. for simétrica.
Determinação do estoque de segurança
q
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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Determinação do estoque de segurança
TR
q
Densidade de probabilidade da demanda durante o TR
μDTR
0
s
0
Adicionamos um estoque de segurança ss para aumentar o ponto de pedido s e, assim, diminuir a probabilidade de faltar. 
ss
Probabilidade de faltar ficou muito menor
DEI - PUC/Rio
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DEI - PUC/Rio
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DEI - PUC/Rio
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Determinação do estoque de segurança: Exemplo
Item com demanda normal com média 250 unids. e desvio padrão 22 unids.
Deseja-se que num ciclo a probabilidade de não haver falta seja 85%
Qual o estoque de segurança?
Qual o ponto de pedido?
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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s : ponto de pedido
Determinação do estoque de segurança
DEI - PUC/Rio
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DEI - PUC/Rio
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DEI - PUC/Rio
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Estoque de segurança
Determinação do estoque de segurança
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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Estoque de segurança
ss = zsTR 	= 2,33(22) = 51,3
	  51 caixas
Determinação do estoque de segurança
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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Determinação do estoque de segurança
Estoque de segurança
	ss = zσTR = 2,33(22) = 51,3
	 	 51 caixas
Ponto de pedido 	 s = 250 + 51
	 = 301 caixas
*DMDTE: demanda média durante o tempo de reposição
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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Distribuição da demanda no tempo de reposição 
(dada a distribuição em outro período, supondo independência probabilística no tempo)
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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Distribuição da demanda no tempo de reposição
 para o alimentador de pássaros
t = 1 semana D = 18 TR = 2
	Estoque de segurança = zsTR = 1,28(7,1) = 9,1,
					 ou 9 unidades
	Recolocação de pedidos	= d TR + estoque de segurança
				= 2(18) + 9 = 45 unidades
Distribuições do tempo de reposição
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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Distribuições do tempo de reposição
Distribuição do tempo de reposição
 para o alimentador de pássaros
t = 1 semana D = 18 TR = 2
Recolocação de pedidos	= 2(18) + 9 = 45 unidades
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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Distribuições do tempo de reposição
Distribuição da demanda no tempo de reposição
 para o alimentador de pássaros
t = 1 semana D = 18 TR = 2
Recolocação de pedidos	= 2(18) + 9 = 45 unidades
C = $562,50 + $561,60 + $135 = $1.259,10
DEI - PUC/Rio
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DEI - PUC/Rio
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DEI - PUC/Rio
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Sistemas de revisão periódica
Exemplo 10.4
Tempo
Estoque disponível
PE1
PE3
PE2
Pedido 
recebido
Pedido Recebido
Posição de estoque (PE)
Em mão
Em mão
Pedido
feito
Pedido 
feito
Q1
Q2
Q3
S
Pedido 
recebido
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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Sistemas de revisão periódica
S	= demanda média durante intervalo de proteção + estoque de segurança
	= d (T + TR) + ss = (18 unidades/semana)(16 semanas) + 15 unidades) = 	=123 unidades
 
 D = (18 unidades/semana)(52 semanas) = 936 unidades 
EOQ = 75 unidades
t = 5 unidades TR = 2 semanas Prob. de falta num ciclo = 10%
ss = z0,9 σT+TR = 1,28 (12) = 
 = 15 unidades
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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Sistemas de revisão periódica
Exemplo 10.4
Tempo
Estoque disponível
PE1
PE3
PE2
Pedido 
recebido
Pedido recebido
Posição de estoque (PE)
Em mão
Em mão
Pedido
feito
Pedido 
feito
Q1
Q2
Q3
S
Pedido 
recebido
ss = zσT+TR = 1,28  12 = 15
 Alimentador de pássaros — Calculando custo relevante total
Canual = $540 + $585 + $225 = $1.350/ano
T = 4 semanas
Canual = c. de manter estoque de ciclo + c. de encomendar + + c. manter est. de segurança = (T D/2) H + (1/T) A + ss H 
H = $15 por unidade por ano D= 936 unids./ano 
DEI - PUC/Rio
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DEI - PUC/Rio
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DEI - PUC/Rio
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Análise ABC
Porcentagem dos itens
Porcentagem do valor em dólares
100 —
90 —
80 —
70 —
60 —
50 —
40 —
30 —
20 —
10 —
0 —
Classe C
Classe A
Classe B
DEI - PUC/Rio
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DEI - PUC/Rio
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*
DEI - PUC/Rio
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A
B
C
Demanda independente: Classificação ABC
Curva ABC para produtos de uma fábrica de bolsas
20% dos itens são responsáveis por 80% do valor das vendas
DEI - PUC/Rio
Gráfico1
		5.3561369713
		10.1947207929
		14.0985467545
		17.0554280529
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84.8562190415
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		100.002847348
		100.0040397191
Percentual do Valor Total
% do total de itens
% do valor total das vendas
Curva ABC de Valor das Vendas
Plan1
		Ref.		% fato.		% + aleat		#		Ref.		%ValVen		% CumIt		% CumFat.
		182P		5.4		5.353396966		1		182P		5.3561369713		0.1930501931		5.3561369713
		703P		4.88		4.8331052774		2		703P		4.8385838217		0.3861003861		10.1947207929
		182C		3.95		3.9007632551		3		182C		3.9038259615		0.5791505792		14.0985467545
		762P		3		2.9566292489		4		762P		2.9568812984		0.7722007722		17.0554280529
		703C		2.68		2.6381394718		5		703C		2.6333451076		0.9652509653		19.6887731605
		773P		2.52		2.4799631742		6		773P		2.4744153646		1.1583011583		22.1631885251
		706P		2.08		2.0341873533		7		706P		2.035408542		1.3513513514		24.1985970671
		769P		1.65		1.6278570864		8		769P		1.6264353396		1.5444015444		25.8250324067
		773C		1.62		1.6013711909		9		773C		1.6025898438		1.7374517375		27.4276222506
		129P		1.61		1.5853768937		10		129P		1.586969635		1.9305019305		29.0145918855
		989P		1.52		1.4970118624		11		989P		1.5008982499		2.1235521236		30.5154901354
		761P		1.49		1.4681234615		12		761P		1.4738258444		2.3166023166		31.9893159798
		762C		1.47		1.4517640544		13		762C		1.445730684		2.5096525097		33.4350466638
		706C		1.43		1.4129260418		14		706C		1.413160789		2.7027027027		34.8482074528
		132AP		1.2		1.1786513494		15		132AP		1.1842222076		2.8957528958		36.0324296604
		302P		1.2		1.1806694926		16		302P		1.17841395		3.0888030888		37.2108436104
		769C		1.2		1.1780658526		17		769C		1.1755158035		3.2818532819		38.3863594138
		792P		1.18		1.1623037195		18		792P		1.1628189536		3.4749034749		39.5491783674
		1044P		1.15		1.1269124258		19		1044P		1.1270569594		3.667953668
40.6762353268
		129C		1.14		1.1172416904		20		129C		1.1185114358		3.861003861		41.7947467626
		711P		0.99		0.9719333178		21		711P		0.9729239252		4.0540540541		42.7676706878
		990P		0.96		0.9377694849		22		990P		0.9379827944		4.2471042471		43.7056534822
		132AC		0.92		0.9154157774		23		132AC		0.9086159069		4.4401544402		44.6142693891
		1805C		0.91		0.897561977		24		1805C		0.8993822793		4.6332046332		45.5136516685
		761C		0.84		0.8278163451		25		761C		0.8354787391		4.8262548263		46.3491304076
		963P		0.84		0.8330465007		26		963P		0.828809686		5.0193050193		47.1779400936
		101P		0.83		0.8210014978		27		101P		0.8220394348		5.2123552124		47.9999795284
		1519P		0.81		0.7987426577		28		1519P		0.8014023761		5.4054054054		48.8013819045
		787P		0.81		0.8060796304		29		787P		0.8048491648		5.5984555985		49.6062310693
		792C		0.76		0.7556921906		30		792C		0.7557609822		5.7915057915		50.3619920515
		990C		0.76		0.7520209305		31		990C		0.7507197384		5.9845559846		51.11271179
		711C		0.75		0.7380457858		32		711C		0.7406643816		6.1776061776		51.8533761715
		945P		0.75		0.7427139916		33		945P		0.7470046679		6.3706563707		52.6003808394
		989C		0.7		0.6949789907		34		989C		0.6949568421		6.5637065637		53.2953376815
		151P		0.69		0.6829517523		35		151P		0.6832596194		6.7567567568		53.9785973009
		719P		0.69		0.6847440585		36		719P		0.6848350567		6.9498069498		54.6634323577
		718P		0.67		0.6580348356		37		718P		0.6672055943		7.1428571429		55.3306379519
		1002P		0.66		0.6561270145		38		1002P		0.6482546122		7.3359073359		55.9788925642
		780P		0.64		0.6318802159		39		780P		0.6306599484		7.528957529		56.6095525126
		787C		0.63		0.617610067		40		787C		0.6234668121		7.722007722		57.2330193246
		945C		0.61		0.6029537289		41		945C		0.5996745201		7.9150579151		57.8326938448
		1002C		0.59		0.5855786783		42		1002C		0.5855756198		8.1081081081		58.4182694646
		904P		0.58		0.5708517961		43		904P		0.5702753254		8.3011583012		58.98854479
		302C		0.57		0.560296083		44		302C		0.5660842281		8.4942084942		59.5546290181
		1044C		0.56		0.5510372216		45		1044C		0.5553174227		8.6872586873		60.1099464408
		26P		0.53		0.5186666909		46		26P		0.5245218851		8.8803088803		60.6344683259
		764P		0.52		0.513672955		47		764P		0.5115466143		9.0733590734		61.1460149403
		23C		0.51		0.5004408723		48		23C		0.501412657		9.2664092664		61.6474275972
		151C		0.47		0.4652647993		49		151C		0.4658174296		9.4594594595		62.1132450269
		702C		0.47		0.4686209758		50		702C		0.4668081155		9.6525096525		62.5800531424
		702P		0.47		0.4635066545		51		702P		0.4657273276		9.8455598456		63.04578047
		780C		0.46		0.4570456952		52		780C		0.4601971906		10.0386100386		63.5059776606
		101RW		0.45		0.4518536914		53		101RW		0.4487220071		10.2316602317		63.9546996676
		718C		0.45		0.4515580528		54		718C		0.4509449137		10.4247104247		64.4056445814
		963C		0.44		0.4360875637		55		963C		0.442111118		10.6177606178		64.8477556994
		1042P		0.43		0.4328063817		56		1042P		0.4254032293		10.8108108108		65.2731589287
		904C		0.41		0.406474013		57		904C		0.4072278806		11.0038610039		65.6803868092
		707P		0.4		0.3951641599		58		707P		0.3971283191		11.1969111969		66.0775151283
		1505C		0.39		0.3854558579		59		1505C		0.3893352617		11.38996139		66.4668503901
		23P		0.38		0.3812718572		60		23P		0.3737187253		11.583011583		66.8405691154
		709P		0.38		0.3806984628		61		709P		0.37371434		11.7760617761		67.2142834553
		763P		0.38		0.3766404744		62		763P		0.3806463036		11.9691119691		67.594929759
		100P		0.37		0.3719374003		63		100P		0.3694610474		12.1621621622		67.9643908063
		133P		0.37		0.3718816139		64		133P		0.3690596108		12.3552123552		68.3334504171
		721P		0.37		0.3662517572		65		721P		0.3665509609		12.5482625483		68.7000013781
		764C		0.37		0.3664695024		66		764C		0.3691007203		12.7413127413		69.0691020984
		944P		0.36		0.3613227021		67		944P		0.3602875226		12.9343629344		69.429389621
		1041P		0.35		0.3525139047		68		1041P		0.3458729781		13.1274131274		69.7752625991
		960P		0.35		0.3441966058		69		960P		0.3506311607		13.3204633205		70.1258937598
		719C		0.34		0.3373428878		70		719C		0.3407423839		13.5135135135		70.4666361438
		100C		0.33		0.3287861622		71		100C		0.3330659627		13.7065637066		70.7997021064
		110C		0.3		0.2963013538		72		110C		0.3029325751		13.8996138996		71.1026346815
		719RW		0.3		0.2955018007		73		719RW		0.3029331183		14.0926640927		71.4055677998
		776P		0.3		0.2991321864		74		776P		0.2982679352		14.2857142857		71.7038357349
		22P		0.28		0.2764594526		75		22P		0.2815045114		14.4787644788		71.9853402464
		856P		0.27		0.2638326132		76		856P		0.2679201868		14.6718146718		72.2532604332
		35P		0.26		0.2561801593		77		35P		0.2562682688		14.8648648649		72.509528702
		718SD		0.26		0.2562119321		78		718SD		0.2627807115		15.0579150579		72.7723094135
		944C		0.26		0.2535240494		79		944C		0.2614807516		15.250965251		73.0337901651
		110P		0.25		0.2532365358		80		110P		0.2445745993		15.444015444		73.2783647644
		776C		0.25		0.2515573021		81		776C		0.2492531529		15.6370656371		73.5276179173
		101C		0.24		0.2337445967		82		101C		0.2373276935		15.8301158301		73.7649456107
		111C		0.24		0.23653004		83		111C		0.2373908104		16.0231660232		74.0023364211
		132C		0.24		0.2417666106		84		132C		0.2372623823		16.2162162162		74.2395988034
		22C		0.24		0.2382981679		85		22C		0.2359698102		16.4092664093		74.4755686136
		403C		0.24		0.2412138166		86		403C		0.2416188133		16.6023166023		74.7171874269
		720P		0.24		0.2356209938		87		720P		0.240478774		16.7953667954		74.9576662009
		960C		0.24		0.2414043323		88		960C		0.2341529124		16.9884169884		75.1918191133
		133C		0.23		0.2313943956		89		133C		0.2278655508		17.1814671815		75.419684664
		1008P		0.22		0.2159575822		90		1008P		0.2196872624		17.3745173745		75.6393719264
		1041C		0.22		0.2175490058		91		1041C		0.2207173508		17.5675675676		75.8600892773
		703SD		0.22		0.2190352366		92		703SD		0.2172158763		17.7606177606		76.0773051536
		707C		0.22		0.2164948256		93		707C		0.2192347048		17.9536679537		76.2965398584
		721C		0.22		0.2160386523		94		721C		0.2161493191		18.1467181467		76.5126891775
		763C		0.22		0.2209442149		95		763C		0.2145757838		18.3397683398		76.7272649613
		1089P		0.21		0.2105761473		96		1089P		0.2108861876		18.5328185328		76.938151149
		708P		0.21		0.2090814552		97		708P		0.2053621755		18.7258687259		77.1435133245
		1008C		0.2		0.1997721582		98		1008C		0.1940393362		18.9189189189		77.3375526608
		1042C		0.2		0.2009043841		99		1042C		0.2024345638		19.111969112		77.5399872246
		1082C		0.2		0.2016780093		100		1082C		0.2019643928		19.305019305		77.7419516174
		1091P		0.2		0.1967352279		101		1091P		0.1944147497		19.4980694981		77.9363663671
		1091RW		0.2		0.1973865925		102		1091RW		0.1993705434		19.6911196911		78.1357369105
		130P		0.2		0.1946009514		103		130P		0.2002196317		19.8841698842		78.3359565422
		718RW		0.2		0.1988113029		104		718RW		0.199116588		20.0772200772		78.5350731302
		723P		0.2		0.1986831287		105		723P		0.1961243613		20.2702702703		78.7311974915
		1082P		0.19		0.1906796936		106		1082P		0.1894655256		20.4633204633		78.9206630171
		1503C		0.19		0.19209681		107		1503C		0.1930399229		20.6563706564		79.11370294
		35C		0.19		0.1851749517		108		35C		0.1871958108		20.8494208494		79.3008987507
		724P		0.19		0.1909888637		109		724P		0.1921708644		21.0424710425		79.4930696152
		943P		0.19		0.1901432655		110		943P		0.1921728953		21.2355212355		79.6852425105
		1031C		0.18		0.1827757225		111		1031C		0.1821184667		21.4285714286		79.8673609773
		1809C		0.18		0.1740061811		112		1809C		0.1775749494		21.6216216216		80.0449359267
		26C		0.18		0.1828107285		113		26C		0.1756917505		21.8146718147		80.2206276772
		722P		0.18		0.1809653822		114		722P		0.1807951273		22.0077220077		80.4014228046
		969P		0.18		0.1781769735		115		969P		0.1810588402		22.2007722008		80.5824816447
		1031P		0.17		0.1668726582		116		1031P		0.170982578		22.3938223938		80.7534642227
		177P		0.17		0.1642739028		117		177P		0.1720115286		22.5868725869		80.9254757513
		1809P		0.17		0.1714427212
118		1809P		0.1673359809		22.7799227799		81.0928117322
		182SD		0.17		0.1734389982		119		182SD		0.1687815351		22.972972973		81.2615932673
		5001M		0.17		0.1720934767		120		5001M		0.1655695845		23.166023166		81.4271628519
		709SD		0.17		0.1709664871		121		709SD		0.1710031341		23.3590733591		81.5981659859
		710P		0.17		0.1656061327		122		710P		0.1638928529		23.5521235521		81.7620588389
		718TN		0.17		0.1648758122		123		718TN		0.1638219869		23.7451737452		81.9258808258
		723C		0.17		0.1651330536		124		723C		0.1678468643		23.9382239382		82.0937276901
		957P		0.17		0.1715778134		125		957P		0.1661672348		24.1312741313		82.2598949249
		987C		0.17		0.1640021219		126		987C		0.1705266209		24.3243243243		82.4304215458
		987P		0.17		0.1635012551		127		987P		0.164056823		24.5173745174		82.5944783688
		1042RW		0.16		0.1600074287		128		1042RW		0.1541718177		24.7104247104		82.7486501865
		719SD		0.16		0.1560767585		129		719SD		0.1535353732		24.9034749035		82.9021855597
		964C		0.16		0.155334213		130		964C		0.1630131694		25.0965250965		83.065198729
		1005P		0.15		0.1485655376		131		1005P		0.1444496307		25.2895752896		83.2096483598
		1016P		0.15		0.1528678184		132		1016P		0.1519365794		25.4826254826		83.3615849391
		1070C		0.15		0.1524535618		133		1070C		0.1512593475		25.6756756757		83.5128442866
		1070P		0.15		0.1470199298		134		1070P		0.1501648863		25.8687258687		83.663009173
		1089C		0.15		0.1475850536		135		1089C		0.1514619794		26.0617760618		83.8144711523
		1511P		0.15		0.1473774853		136		1511P		0.1502127099		26.2548262548		83.9646838622
		725C		0.15		0.1506809729		137		725C		0.1511371649		26.4478764479		84.1158210271
		782P		0.15		0.1472935532		138		782P		0.1502094761		26.6409266409		84.2660305032
		788P		0.15		0.1460499738		139		788P		0.1493780773		26.833976834		84.4154085805
		791P		0.15		0.1467185445		140		791P		0.1442105634		27.027027027		84.5596191439
		942P		0.15		0.1458699444		141		942P		0.1440566572		27.2200772201		84.7036758011
		967P		0.15		0.1474677902		142		967P		0.1525432404		27.4131274131		84.8562190415
		969C		0.15		0.1527536684		143		969C		0.1492774836		27.6061776062		85.0054965251
		152C		0.14		0.1386253188		144		152C		0.1362798087		27.7992277992		85.1417763338
		25PP		0.14		0.1391171595		145		25PP		0.1361144744		27.9922779923		85.2778908083
		770C		0.14		0.1355744513		146		770C		0.1423665894		28.1853281853		85.4202573976
		791C		0.14		0.1370034825		147		791C		0.1343873908		28.3783783784		85.5546447884
		792SD		0.14		0.1365164678		148		792SD		0.1406778368		28.5714285714		85.6953226251
		982P		0.14		0.1391693687		149		982P		0.1391480775		28.7644787645		85.8344707026
		720C		0.13		0.1274074556		150		720C		0.1334042413		28.9575289575		85.9678749439
		726C		0.13		0.1248534905		151		726C		0.1242820603		29.1505791506		86.0921570042
		770P		0.13		0.1269886108		152		770P		0.1335762314		29.3436293436		86.2257332356
		782C		0.13		0.1334403421		153		782C		0.131179255		29.5366795367		86.3569124906
		967C		0.13		0.1258852705		154		967C		0.1284878389		29.7297297297		86.4854003295
		130C		0.12		0.1167218041		155		130C		0.1175151588		29.9227799228		86.6029154883
		1518C		0.12		0.1169442904		156		1518C		0.1235297222		30.1158301158		86.7264452105
		1600P		0.12		0.1196650442		157		1600P		0.1222728252		30.3088803089		86.8487180357
		181P		0.12		0.1144088048		158		181P		0.1228734507		30.5019305019		86.9715914864
		403P		0.12		0.1238169806		159		403P		0.1230761389		30.694980695		87.0946676253
		708C		0.12		0.1211716044		160		708C		0.1191050772		30.888030888		87.2137727025
		709C		0.12		0.1216205369		161		709C		0.1157516538		31.0810810811		87.3295243563
		710C		0.12		0.1229478538		162		710C		0.1190361102		31.2741312741		87.4485604665
		723PN		0.12		0.1156197414		163		723PN		0.117422556		31.4671814672		87.5659830225
		725P		0.12		0.1194605512		164		725P		0.1216958873		31.6602316602		87.6876789099
		762SD		0.12		0.1150046984		165		762SD		0.1151786562		31.8532818533		87.8028575661
		856IC		0.12		0.1203597701		166		856IC		0.1145772391		32.0463320463		87.9174348052
		964P		0.12		0.115447041		167		964P		0.1191744694		32.2393822394		88.0366092746
		982C		0.12		0.1171198143		168		982C		0.1204925223		32.4324324324		88.1571017968
		1005C		0.11		0.1048497136		169		1005C		0.1041888178		32.6254826255		88.2612906146
		1016SD		0.11		0.1071557606		170		1016SD		0.1125305036		32.8185328185		88.3738211182
		1062P		0.11		0.1091260428		171		1062P		0.1094776924		33.0115830116		88.4832988106
		107C		0.11		0.1104303872		172		107C		0.1075274783		33.2046332046		88.5908262889
		107P		0.11		0.1050269301		173		107P		0.1067014982		33.3976833977		88.6975277871
		1090P		0.11		0.1118999431		174		1090P		0.109324365		33.5907335907		88.8068521521
		25PC		0.11		0.1097292074		175		25PC		0.1079174433		33.7837837838		88.9147695954
		715C		0.11		0.1080423022		176		715C		0.1125583753		33.9768339768		89.0273279708
		715P		0.11		0.1089497797		177		715P		0.1126708528		34.1698841699		89.1399988236
		723SD		0.11		0.1048901509		178		723SD		0.105104425		34.3629343629		89.2451032485
		957C		0.11		0.1137174737		179		957C		0.1044978099		34.555984556		89.3496010584
		968P		0.11		0.1066583903		180		968P		0.1051422854		34.749034749		89.4547433438
		101SD		0.09		0.0847086004		181		101SD		0.0845344699		34.9420849421		89.5392778137
		1041RW		0.09		0.0854561709		182		1041RW		0.0861462602		35.1351351351		89.6254240739
		1089IC		0.09		0.085718469		183		1089IC		0.0886512609		35.3281853282		89.7140753348
		1089SD		0.09		0.0922640122		184		1089SD		0.0912062456		35.5212355212		89.8052815803
		1090SD		0.09		0.0925828025		185		1090SD		0.089276967		35.7142857143		89.8945585474
		1093P		0.09		0.0867989486		186		1093P		0.0848505411		35.9073359073		89.9794090884
		129SD		0.09		0.089580559		187		129SD		0.0890808204		36.1003861004		90.0684899088
		1514P		0.09		0.0919001333		188		1514P		0.0928130504		36.2934362934		90.1613029592
		152P		0.09		0.0936010596		189		152P		0.0892353833		36.4864864865		90.2505383425
		177C		0.09		0.0879769315		190		177C		0.0868727342		36.6795366795		90.3374110767
		28P		0.09		0.0851404631		191		28P		0.0884965645		36.8725868726		90.4259076411
		717P		0.09		0.0909657532		192		717P		0.0891229389		37.0656370656		90.5150305801
		788C		0.09		0.0857521684		193		788C		0.0876547205		37.2586872587		90.6026853005
		1082BG		0.08		0.0770418588		194		1082BG		0.0745622178		37.4517374517		90.6772475184
		1090IC		0.08		0.0754333571		195		1090IC		0.0781501323		37.6447876448		90.7553976506
		1091BG		0.08		0.0753494252		196		1091BG		0.0833882534		37.8378378378		90.838785904
		1514C		0.08		0.0780362922		197		1514C		0.0825080211		38.0308880309		90.9212939251
		719BG		0.08		0.0773935461		198		719BG		0.0794705625		38.2239382239		91.0007644877
		723PT		0.08		0.0822129984		199		723PT		0.0752079582		38.416988417		91.0759724459
		724C		0.08		0.0831090753		200		724C		0.0804167696		38.61003861		91.1563892155
		772P		0.08		0.0814954101		201		772P		0.0761987887		38.8030888031		91.2325880042
		852P		0.08		0.0779531696		202		852P		0.0799128485		38.9961389961		91.3125008527
		853P		0.08		0.0769008206		203		853P		0.0745929946		39.1891891892		91.3870938473
		942C		0.08		0.0793094816		204		942C		0.0777041523		39.3822393822		91.4647979996
		943C		0.08		0.0748076656		205		943C		0.075404296		39.5752895753		91.5402022955
		947P		0.08		0.0774188865		206		947P		0.0751566328		39.7683397683		91.6153589284
		958P		0.08		0.0782645973		207		958P		0.0836710155		39.9613899614		91.6990299439
		1016C		0.07		0.0674164284		208		1016C		0.0687762507		40.1544401544		91.7678061946
		1070BG		0.07		0.0664130734		209		1070BG		0.0672382306		40.3474903475		91.8350444252
		1093C		0.07		0.0698219276		210		1093C		0.0696074865		40.5405405405		91.9046519117
		132P		0.07		0.0721122198		211		132P		0.0728416143		40.7335907336		91.977493526
		1600C		0.07		0.0690222154		212		1600C		0.0649669818		40.9266409266		92.0424605078
		1809BG		0.07		0.073522261		213		1809BG		0.0697182419		41.1196911197		92.1121787497
		703RW		0.07		0.0660032921
214		703RW		0.0660419107		41.3127413127		92.1782206604
		709RW		0.07		0.0705418799		215		709RW		0.0652717573		41.5057915058		92.2434924177
		724SD		0.07		0.0696302221		216		724SD		0.0688161245		41.6988416988		92.3123085422
		780SD		0.07		0.0659663741		217		780SD		0.0646000105		41.8918918919		92.3769085527
		787SD		0.07		0.0699750712		218		787SD		0.0713290385		42.0849420849		92.4482375911
		854P		0.07		0.0664055843		219		854P		0.064670524		42.277992278		92.5129081151
		946P		0.07		0.0687651566		220		946P		0.0722464675		42.471042471		92.5851545826
		968C		0.07		0.0673081415		221		968C		0.0643010012		42.6640926641		92.6494555838
		987BG		0.07		0.0737944913		222		987BG		0.0664231939		42.8571428571		92.7158787778
		995P		0.07		0.0717869732		223		995P		0.0694078312		43.0501930502		92.785286609
		101TN		0.06		0.0583166749		224		101TN		0.0615820481		43.2432432432		92.8468686571
		1025C		0.06		0.0633798398		225		1025C		0.0553497066		43.4362934363		92.9022183637
		1067C		0.06		0.0599822834		226		1067C		0.0551851376		43.6293436293		92.9574035013
		1067P		0.06		0.0622564554		227		1067P		0.060923844		43.8223938224		93.0183273453
		1084P		0.06		0.0635306177		228		1084P		0.0629557897		44.0154440154		93.081283135
		1090C		0.06		0.058017665		229		1090C		0.0623827352		44.2084942085		93.1436658702
		1093BG		0.06		0.0624929642		230		1093BG		0.054543353		44.4015444015		93.1982092232
		1519C		0.06		0.0584584116		231		1519C		0.0631180562		44.5945945946		93.2613272794
		151SD		0.06		0.0626171391		232		151SD		0.0587772126		44.7876447876		93.320104492
		1601C		0.06		0.0553072524		233		1601C		0.0575732272		44.9806949807		93.3776777191
		181C		0.06		0.0559953624		234		181C		0.0574855371		45.1737451737		93.4351632562
		650C		0.06		0.0620069148		235		650C		0.0542119308		45.3667953668		93.489375187
		703NC		0.06		0.0613452292		236		703NC		0.0632605741		45.5598455598		93.5526357612
		703NP		0.06		0.06004807		237		703NP		0.0578017663		45.7528957529		93.6104375275
		703NSD		0.06		0.0607617427		238		703NSD		0.0592145086		45.9459459459		93.6696520361
		717C		0.06		0.055891985		239		717C		0.0621033603		46.138996139		93.7317553963
		717SD		0.06		0.0634243071		240		717SD		0.0552550647		46.332046332		93.787010461
		725BG		0.06		0.0550817379		241		725BG		0.0626782549		46.5250965251		93.8496887159
		772C		0.06		0.0555983794		242		772C		0.0575695515		46.7181467181		93.9072582674
		774C		0.06		0.0612135227		243		774C		0.0625389936		46.9111969112		93.969797261
		855P		0.06		0.0599084979		244		855P		0.0623572371		47.1042471042		94.0321544981
		856C		0.06		0.0570326067		245		856C		0.0610365792		47.2972972973		94.0931910773
		946C		0.06		0.0626297457		246		946C		0.0591812365		47.4903474903		94.1523723138
		951P		0.06		0.0606391992		247		951P		0.0593785834		47.6833976834		94.2117508972
		958C		0.06		0.0566365082		248		958C		0.0591983775		47.8764478764		94.2709492747
		1006P		0.05		0.052018158		249		1006P		0.0451366546		48.0694980695		94.3160859293
		1024P		0.05		0.0465544882		250		1024P		0.0507446312		48.2625482625		94.3668305606
		1029P		0.05		0.0495438082		251		1029P		0.0507910224		48.4555984556		94.417621583
		1075P		0.05		0.0466139883		252		1075P		0.0527775866		48.6486486486		94.4703991696
		1091C		0.05		0.0520000916		253		1091C		0.0441096288		48.8416988417		94.5145087984
		1092P		0.05		0.0440775508		254		1092P		0.053194379		49.0347490347		94.5677031774
		131C		0.05		0.0501109408		255		131C		0.0502821588		49.2277992278		94.6179853361
		131P		0.05		0.0500713102		256		131P		0.0490508267		49.4208494208		94.6670361628
		1810P		0.05		0.0502493202		257		1810P		0.0494315179		49.6138996139		94.7164676808
		19P		0.05		0.0446864751		258		19P		0.050166716		49.8069498069		94.7666343968
		28C		0.05		0.0465795052		259		28C		0.0479470577		50		94.8145814545
		718BG		0.05		0.0466387372		260		718BG		0.0445917762		50.1930501931		94.8591732306
		723TN		0.05		0.0495825898		261		723TN		0.0504513266		50.3861003861		94.9096245572
		777C		0.05		0.0518556895		262		777C		0.04683722		50.5791505792		94.9564617773
		777P		0.05		0.0508534275		263		777P		0.0504087897		50.7722007722		95.006870567
		853C		0.05		0.0480145849		264		853C		0.0483105891		50.9652509653		95.0551811561
		856AG		0.05		0.0494089251		265		856AG		0.0492013234		51.1583011583		95.1043824795
		942SD		0.05		0.0455285818		266		942SD		0.0522184185		51.3513513514		95.156600898
		1006C		0.04		0.03542754		267		1006C		0.0420680282		51.5444015444		95.1986689263
		1025P		0.04		0.0429295662		268		1025P		0.0369941915		51.7374517375		95.2356631178
		1080C		0.04		0.0378535576		269		1080C		0.0373083068		51.9305019305		95.2729714245
		1081C		0.04		0.03456916		270		1081C		0.0394771607		52.1235521236		95.3124485852
		1081P		0.04		0.0434130663		271		1081P		0.0419038147		52.3166023166		95.3543523999
		1086C		0.04		0.0389481737		272		1086C		0.0370613777		52.5096525097		95.3914137776
		1086P		0.04		0.0416883429		273		1086P		0.0422792942		52.7027027027		95.4336930718
		129RW		0.04		0.036975899		274		129RW		0.0370329056		52.8957528958		95.4707259774
		1504P		0.04		0.0401397127		275		1504P		0.0425318114		53.0888030888		95.5132577888
		1506C		0.04		0.0359066253		276		1506C		0.0348773464		53.2818532819		95.5481351351
		1520P		0.04		0.0346774725		277		1520P		0.0352451649		53.4749034749		95.5833803
		1700C		0.04		0.0346057903		278		1700C		0.040018647		53.667953668		95.623398947
		1702C		0.04		0.0424678246		279		1702C		0.0417521541		53.861003861		95.6651511011
		2001C		0.04		0.0346469967		280		2001C		0.0427369554		54.0540540541		95.7078880565
		2001P		0.04		0.0359810951		281		2001P		0.0343448349		54.2471042471		95.7422328914
		31C		0.04		0.0389168669		282		31C		0.0379373008		54.4401544402		95.7801701922
		31P		0.04		0.0401219222		283		31P		0.0439380739		54.6332046332		95.8241082661
		602P		0.04		0.0347568043		284		602P		0.0350658614		54.8262548263		95.8591741275
		723RW		0.04		0.0424892182		285		723RW		0.0392916152		55.0193050193		95.8984657427
		761RW		0.04		0.0354825868		286		761RW		0.0362862416		55.2123552124		95.9347519843
		762RW		0.04		0.0415409282		287		762RW		0.0361352381		55.4054054054		95.9708872223
		769SD		0.04		0.0424745538		288		769SD		0.0366748826		55.5984555985		96.0075621049
		771C		0.04		0.0371093823		289		771C		0.0408486469		55.7915057915		96.0484107519
		771P		0.04		0.0425217009		290		771P		0.0393614434		55.9845559846		96.0877721952
		773SD		0.04		0.0374144791		291		773SD		0.0429373025		56.1776061776		96.1307094978
		776RW		0.04		0.0342002037		292		776RW		0.0378322802		56.3706563707		96.168541778
		851P		0.04		0.0438414672		293		851P		0.0376983728		56.5637065637		96.2062401508
		8807P		0.04		0.0394311758		294		8807P		0.0415961292		56.7567567568		96.24783628
		906P		0.04		0.0351876094		295		906P		0.0416250364		56.9498069498		96.2894613164
		947C		0.04		0.038294876		296		947C		0.0406760525		57.1428571429		96.3301373689
		947SD		0.04		0.0373833557		297		947SD		0.0413347483		57.3359073359		96.3714721172
		983P		0.04		0.040575622		298		983P		0.0439333287		57.528957529		96.4154054459
		994C		0.04		0.0361258534		299		994C		0.0343632848		57.722007722		96.4497687307
		994P		0.04		0.0349476218		300		994P		0.0399808828		57.9150579151		96.4897496136
		995C		0.04		0.0341484266		301		995C		0.0396444219		58.1081081081		96.5293940355
		1005SD		0.03		0.0307678038		302		1005SD		0.0288511894		58.3011583012		96.5582452249
		1023C		0.03		0.031633488		303		1023C		0.0326389103		58.4942084942		96.5908841352
		104C		0.03		0.0337854787		304		104C		0.0321973858		58.6872586873		96.6230815209
		105C		0.03		0.0316159233		305		105C		0.0264820369		58.8803088803		96.6495635578
		1075C		0.03		0.0317118987		306		1075C		0.0336171845		59.0733590734		96.6831807423
		1084C		0.03		0.0245366699		307		1084C		0.0261634766		59.2664092664		96.7093442189
		1092C		0.03		0.0331460763		308		1092C		0.0328707922		59.4594594595		96.7422150111
		1097C		0.03		0.0288810768		309		1097C		0.0265228345		59.6525096525		96.7687378456
		1099C		0.03		0.0278160908		310		1099C		0.0242159057
59.8455598456		96.7929537513
		111SD		0.03		0.0252406073		311		111SD		0.0270147747		60.0386100386		96.819968526
		132ASD		0.03		0.0270770356		312		132ASD		0.029446584		60.2316602317		96.84941511
		133RW		0.03		0.0310890672		313		133RW		0.0247752096		60.4247104247		96.8741903196
		1504C		0.03		0.0278821207		314		1504C		0.0295542879		60.6177606178		96.9037446075
		1520C		0.03		0.0312705087		315		1520C		0.0281048204		60.8108108108		96.9318494279
		152SD		0.03		0.0249619941		316		152SD		0.0308396285		61.0038610039		96.9626890564
		1601P		0.03		0.024698165		317		1601P		0.0275551091		61.1969111969		96.9902441655
		1603C		0.03		0.0275094338		318		1603C		0.0240581857		61.38996139		97.0143023512
		1701C		0.03		0.0267364621		319		1701C		0.0305021836		61.583011583		97.0448045348
		1701P		0.03		0.03317516		320		1701P		0.0315292118		61.7760617761		97.0763337466
		1702P		0.03		0.025823501		321		1702P		0.0253283185		61.9691119691		97.1016620651
		177SD		0.03		0.0290433567		322		177SD		0.0256494466		62.1621621622		97.1273115117
		1806P		0.03		0.0288925288		323		1806P		0.0259193093		62.3552123552		97.1532308209
		1806RW		0.03		0.0321292372		324		1806RW		0.0315165264		62.5482625483		97.1847473473
		1807P		0.03		0.0328451217		325		1807P		0.0242225235		62.7413127413		97.2089698708
		1807PN		0.03		0.0271823343		326		1807PN		0.0306172599		62.9343629344		97.2395871307
		1807RW		0.03		0.033323747		327		1807RW		0.0301953471		63.1274131274		97.2697824778
		1808BG		0.03		0.0291267376		328		1808BG		0.0258362776		63.3204633205		97.2956187554
		1808C		0.03		0.0333668076		329		1808C		0.0266819797		63.5135135135		97.3223007351
		1808P		0.03		0.0249465744		330		1808P		0.0323474767		63.7065637066		97.3546482119
		1810BG		0.03		0.0322509072		331		1810BG		0.0287313139		63.8996138996		97.3833795258
		1810RW		0.03		0.0326390197		332		1810RW		0.0280711351		64.0926640927		97.4114506609
		183C		0.03		0.0244653099		333		183C		0.0297603053		64.2857142857		97.4412109662
		183P		0.03		0.0258507514		334		183P		0.0326186383		64.4787644788		97.4738296045
		19C		0.03		0.0282281276		335		19C		0.0275776912		64.6718146718		97.5014072957
		2000P		0.03		0.0264560244		336		2000P		0.0331611307		64.8648648649		97.5345684264
		2001BG		0.03		0.0298685462		337		2001BG		0.028111297		65.0579150579		97.5626797234
		705P		0.03		0.0270714981		338		705P		0.0272259442		65.250965251		97.5899056676
		728C		0.03		0.0310478497		339		728C		0.0252260577		65.444015444		97.6151317253
		774P		0.03		0.0330287052		340		774P		0.0296867033		65.6370656371		97.6448184286
		850P		0.03		0.032712484		341		850P		0.026651825		65.8301158301		97.6714702536
		852C		0.03		0.0265654568		342		852C		0.0255844149		66.0231660232		97.6970546685
		854C		0.03		0.0329890318		343		854C		0.0271503382		66.2162162162		97.7242050066
		855C		0.03		0.0293438616		344		855C		0.0287053291		66.4092664093		97.7529103357
		8807C		0.03		0.0281919697		345		8807C		0.0296544743		66.6023166023		97.78256481
		951C		0.03		0.0311536607		346		951C		0.0330198087		66.7953667954		97.8155846187
		954C		0.03		0.0310020258		347		954C		0.0247104069		66.9884169884		97.8402950256
		988P		0.03		0.0243424345		348		988P		0.0308840848		67.1814671815		97.8711791105
		1023P		0.02		0.0168692789		349		1023P		0.0190427422		67.3745173745		97.8902218526
		1024C		0.02		0.0183373873		350		1024C		0.0163055625		67.5675675676		97.9065274152
		1039P		0.02		0.0211016762		351		1039P		0.0185834723		67.7606177606		97.9251108875
		103C		0.02		0.0214932973		352		103C		0.0193381069		67.9536679537		97.9444489944
		1074GP		0.02		0.0189885973		353		1074GP		0.0206044216		68.1467181467		97.965053416
		1088P		0.02		0.0216905523		354		1088P		0.022081255		68.3397683398		97.987134671
		1094P		0.02		0.0186572605		355		1094P		0.0210623912		68.5328185328		98.0081970622
		1096C		0.02		0.0228921521		356		1096C		0.0198009687		68.7258687259		98.027998031
		113C		0.02		0.0227203835		357		113C		0.0213703755		68.9189189189		98.0493684065
		113P		0.02		0.0206447453		358		113P		0.0195146785		69.111969112		98.068883085
		114P		0.02		0.0192394426		359		114P		0.0197141851		69.305019305		98.0885972701
		115C		0.02		0.0186219483		360		115C		0.0190686021		69.4980694981		98.1076658722
		132ARW		0.02		0.0210643855		361		132ARW		0.0187977695		69.6911196911		98.1264636417
		1506P		0.02		0.0209621717		362		1506P		0.0189506089		69.8841698842		98.1454142505
		1513C		0.02		0.0229882725		363		1513C		0.0199863923		70.0772200772		98.1654006428
		1603P		0.02		0.0206817697		364		1603P		0.0224152702		70.2702702703		98.187815913
		1604C		0.02		0.0211656526		365		1604C		0.0214255372		70.4633204633		98.2092414502
		1604P		0.02		0.0210102605		366		1604P		0.0212570025		70.6563706564		98.2304984527
		1800C		0.02		0.0185659649		367		1800C		0.0210779594		70.8494208494		98.251576412
		1800P		0.02		0.0213554159		368		1800P		0.0226957127		71.0424710425		98.2742721248
		1801C		0.02		0.0188531302		369		1801C		0.0206512981		71.2355212355		98.2949234229
		1801P		0.02		0.0202098952		370		1801P		0.0224552216		71.4285714286		98.3173786444
		1803P		0.02		0.0195728633		371		1803P		0.0187874983		71.6216216216		98.3361661428
		1806BG		0.02		0.0222474092		372		1806BG		0.0180777499		71.8146718147		98.3542438927
		2000C		0.02		0.0217050828		373		2000C		0.0226385467		72.0077220077		98.3768824394
		20C		0.02		0.0218397332		374		20C		0.0192240666		72.2007722008		98.396106506
		29C		0.02		0.0188940663		375		29C		0.0206151504		72.3938223938		98.4167216565
		29P		0.02		0.0190329926		376		29P		0.0224490985		72.5868725869		98.439170755
		3010P		0.02		0.018433867		377		3010P		0.0186529079		72.7799227799		98.4578236629
		302RW		0.02		0.0199434654		378		302RW		0.0212649269		72.972972973		98.4790885897
		302SD		0.02		0.0183587672		379		302SD		0.0189034232		73.166023166		98.4979920129
		303SD		0.02		0.0224624843		380		303SD		0.0215754222		73.3590733591		98.5195674351
		5029M		0.02		0.0210313447		381		5029M		0.0182781095		73.5521235521		98.5378455445
		601C		0.02		0.0192091657		382		601C		0.0203696562		73.7451737452		98.5582152007
		601P		0.02		0.0207554058		383		601P		0.021450001		73.9382239382		98.5796652017
		602C		0.02		0.0192105597		384		602C		0.0215165379		74.1312741313		98.6011817396
		603P		0.02		0.0180521758		385		603P		0.0199749728		74.3243243243		98.6211567124
		650P		0.02		0.0226115508		386		650P		0.0202643353		74.5173745174		98.6414210477
		700C		0.02		0.0189740393		387		700C		0.022093407		74.7104247104		98.6635144547
		703TN		0.02		0.0187009335		388		703TN		0.0204072559		74.9034749035		98.6839217106
		704P		0.02		0.0194233001		389		704P		0.0207167879		75.0965250965		98.7046384985
		705C		0.02		0.0222172007		390		705C		0.0206306158		75.2895752896		98.7252691143
		707SD		0.02		0.019849678		391		707SD		0.0193340012		75.4826254826		98.7446031154
		710SD		0.02		0.0223710121		392		710SD		0.0202819944		75.6756756757		98.7648851098
		721PT		0.02		0.0192659424		393		721PT		0.0205235432		75.8687258687		98.785408653
		724RW		0.02		0.022195266		394		724RW		0.0227746935		76.0617760618		98.8081833466
		726P		0.02		0.0181008386		395		726P		0.021321937		76.2548262548		98.8295052836
		761SD		0.02		0.0194364851		396		761SD		0.0187999029		76.4478764479		98.8483051865
		764SD		0.02		0.0226229996		397		764SD		0.0199030675		76.6409266409		98.868208254
		765P		0.02		0.018896029		398		765P		0.0190823729		76.833976834		98.8872906269
		770SD		0.02		0.0223186004		399		770SD		0.0190410409		77.027027027		98.9063316678
		778C		0.02		0.0198164051		400		778C		0.018119184		77.2200772201		98.9244508518
		778P		0.02		0.0209143889		401		778P		0.0195627349		77.4131274131		98.9440135867
		790C		0.02		0.0217892738		402		790C		0.0216760427		77.6061776062		98.9656896294
		792RW		0.02		0.0205453702		403		792RW		0.0214724231		77.7992277992		98.9871620525
		850C		0.02		0.0199047095		404		850C		0.021723901		77.9922779923		99.0088859535
		851C		0.02		0.0191229486		405		851C		0.0214885309		78.1853281853		99.0303744844
		906C		0.02		0.0215399218		406		906C		0.019918475
78.3783783784		99.0502929594
		974C		0.02		0.0194885581		407		974C		0.0203994622		78.5714285714		99.0706924216
		1034C		0.01		0.0086952407		408		1034C		0.0092830754		78.7644787645		99.079975497
		1039C		0.01		0.0107115582		409		1039C		0.0097879109		78.9575289575		99.0897634079
		1042TN		0.01		0.0112117069		410		1042TN		0.0111108443		79.1505791506		99.1008742522
		1043P		0.01		0.0089888571		411		1043P		0.0103060254		79.3436293436		99.1111802776
		1050C		0.01		0.0112594366		412		1050C		0.0095133312		79.5366795367		99.1206936088
		1062C		0.01		0.0092805857		413		1062C		0.0111302386		79.7297297297		99.1318238474
		1069P		0.01		0.0102838726		414		1069P		0.0107774774		79.9227799228		99.1426013248
		1074BG		0.01		0.0103541619		415		1074BG		0.0096437207		80.1158301158		99.1522450455
		1085C		0.01		0.0105663358		416		1085C		0.0116850446		80.3088803089		99.16393009
		1085P		0.01		0.0100081291		417		1085P		0.0095273301		80.5019305019		99.1734574202
		1087C		0.01		0.009960566		418		1087C		0.0086135776		80.694980695		99.1820709978
		1087MC		0.01		0.0101581508		419		1087MC		0.0113169131		80.888030888		99.1933879109
		1087P		0.01		0.0103374746		420		1087P		0.0107742331		81.0810810811		99.2041621439
		1087TN		0.01		0.0115892937		421		1087TN		0.0111141672		81.2741312741		99.2152763111
		1088BB		0.01		0.0092024058		422		1088BB		0.0096070521		81.4671814672		99.2248833632
		1088C		0.01		0.0095953366		423		1088C		0.011563073		81.6602316602		99.2364464362
		1088SD		0.01		0.0104088537		424		1088SD		0.0116443741		81.8532818533		99.2480908103
		1093SD		0.01		0.0096356063		425		1093SD		0.0101021147		82.0463320463		99.258192925
		1095C		0.01		0.0088588535		426		1095C		0.0102399323		82.2393822394		99.2684328574
		1098C		0.01		0.0116369778		427		1098C		0.0104131384		82.4324324324		99.2788459958
		10C		0.01		0.0111070947		428		10C		0.0114703978		82.6254826255		99.2903163936
		10P		0.01		0.0112635352		429		10P		0.0114811437		82.8185328185		99.3017975373
		1505P		0.01		0.0100782544		430		1505P		0.0103501762		83.0115830116		99.3121477135
		1513P		0.01		0.0093703501		431		1513P		0.0097844197		83.2046332046		99.3219321332
		1515C		0.01		0.0094710221		432		1515C		0.0101570128		83.3976833977		99.332089146
		1515P		0.01		0.0113036089		433		1515P		0.0093938553		83.5907335907		99.3414830012
		1518P		0.01		0.009358513		434		1518P		0.0110904427		83.7837837838		99.352573444
		1607C		0.01		0.0098792915		435		1607C		0.0099424964		83.9768339768		99.3625159404
		1607P		0.01		0.0086900577		436		1607P		0.0092953666		84.1698841699		99.3718113071
		1807BG		0.01		0.0100059137		437		1807BG		0.0105002746		84.3629343629		99.3823115817
		1807PT		0.01		0.0100854104		438		1807PT		0.0105683587		84.555984556		99.3928799404
		1807TN		0.01		0.0110968486		439		1807TN		0.0092217222		84.749034749		99.4021016626
		1808PN		0.01		0.0111390732		440		1808PN		0.0105718244		84.9420849421		99.412673487
		1808PT		0.01		0.0092296456		441		1808PT		0.0099253233		85.1351351351		99.4225988103
		1810C		0.01		0.0088533473		442		1810C		0.0106376124		85.3281853282		99.4332364227
		204C		0.01		0.0086092609		443		204C		0.0093622878		85.5212355212		99.4425987105
		204P		0.01		0.0100344974		444		204P		0.0110658544		85.7142857143		99.4536645649
		23BG		0.01		0.0107989498		445		23BG		0.0117937425		85.9073359073		99.4654583073
		23RW		0.01		0.0107696108		446		23RW		0.0103826846		86.1003861004		99.475840992
		23SD		0.01		0.0113861598		447		23SD		0.0090503106		86.2934362934		99.4848913026
		25GP		0.01		0.0112672535		448		25GP		0.0104716899		86.4864864865		99.4953629925
		3010C		0.01		0.0114241388		449		3010C		0.0098375027		86.6795366795		99.5052004952
		3011P		0.01		0.0091652911		450		3011P		0.0114847659		86.8725868726		99.516685261
		33C		0.01		0.0114412239		451		33C		0.0092565542		87.0656370656		99.5259418152
		33P		0.01		0.0096858726		452		33P		0.0093233635		87.2586872587		99.5352651788
		34C		0.01		0.01118413		453		34C		0.0087911233		87.4517374517		99.5440563021
		34P		0.01		0.0099969182		454		34P		0.0116598401		87.6447876448		99.5557161422
		403SD		0.01		0.0091921372		455		403SD		0.0086608133		87.8378378378		99.5643769555
		500C		0.01		0.0085763184		456		500C		0.0085517178		88.0308880309		99.5729286733
		500P		0.01		0.0116551774		457		500P		0.0104580702		88.2239382239		99.5833867434
		504C		0.01		0.0115857626		458		504C		0.0094115346		88.416988417		99.592798278
		504P		0.01		0.0100564943		459		504P		0.0113853125		88.61003861		99.6041835905
		603C		0.01		0.0098966202		460		603C		0.009192122		88.8030888031		99.6133757125
		710RW		0.01		0.010436935		461		710RW		0.0098682332		88.9961389961		99.6232439457
		713C		0.01		0.00918371		462		713C		0.0099556563		89.1891891892		99.633199602
		717BG		0.01		0.0111560006		463		717BG		0.0085381448		89.3822393822		99.6417377468
		721SD		0.01		0.0117338968		464		721SD		0.0104907344		89.5752895753		99.6522284812
		724BG		0.01		0.0087338258		465		724BG		0.010206994		89.7683397683		99.6624354752
		724TN		0.01		0.0111437898		466		724TN		0.0102591362		89.9613899614		99.6726946114
		725RW		0.01		0.0109665943		467		725RW		0.0090147611		90.1544401544		99.6817093725
		727C		0.01		0.0099088258		468		727C		0.0113398022		90.3474903475		99.6930491747
		765C		0.01		0.0103953597		469		765C		0.0089016989		90.5405405405		99.7019508736
		777SD		0.01		0.0092771042		470		777SD		0.0109562573		90.7335907336		99.7129071309
		781C		0.01		0.0110449058		471		781C		0.0087740001		90.9266409266		99.721681131
		781P		0.01		0.0094438853		472		781P		0.0101595496		91.1196911197		99.7318406806
		792TN		0.01		0.0110662318		473		792TN		0.01097437		91.3127413127		99.7428150506
		851SD		0.01		0.0091341529		474		851SD		0.0099919659		91.5057915058		99.7528070164
		851TN		0.01		0.0104210904		475		851TN		0.0118010749		91.6988416988		99.7646080913
		852SD		0.01		0.008607537		476		852SD		0.0090606627		91.8918918919		99.773668754
		852TN		0.01		0.0117048427		477		852TN		0.0088057124		92.0849420849		99.7824744663
		855IC		0.01		0.0085586682		478		855IC		0.0116054267		92.277992278		99.794079893
		855MC		0.01		0.0108215276		479		855MC		0.0109337093		92.471042471		99.8050136023
		855TN		0.01		0.0096240934		480		855TN		0.010663388		92.6640926641		99.8156769903
		856MC		0.01		0.0117320909		481		856MC		0.0091711654		92.8571428571		99.8248481558
		856SD		0.01		0.0116922858		482		856SD		0.0107202785		93.0501930502		99.8355684343
		857C		0.01		0.0091136353		483		857C		0.0112262143		93.2432432432		99.8467946486
		8809P		0.01		0.0116584709		484		8809P		0.0100220391		93.4362934363		99.8568166877
		907C		0.01		0.0118051385		485		907C		0.0104840189		93.6293436293		99.8673007066
		907P		0.01		0.0093842107		486		907P		0.0109208322		93.8223938224		99.8782215388
		90C		0.01		0.0094152671		487		90C		0.0108640252		94.0154440154		99.8890855641
		90P		0.01		0.0086220876		488		90P		0.0096296864		94.2084942085		99.8987152505
		919P		0.01		0.0100377373		489		919P		0.0105214116		94.4015444015		99.9092366621
		963SD		0.01		0.0114288967		490		963SD		0.0114875915		94.5945945946		99.9207242536
		968SD		0.01		0.0107754677		491		968SD		0.0103408272		94.7876447876		99.9310650808
		974P		0.01		0.0095244139		492		974P		0.0113015047		94.9806949807		99.9423665855
		988C		0.01		0.0108808589		493		988C		0.0094485114		95.1737451737		99.9518150969
		999C		0.01		0.0104944484		494		999C		0.0112015877		95.3667953668		99.9630166845
		1036P		0		0.0050265757		495		1036P		0.0027075134		95.5598455598		99.9657241979
		1056P		0		0.0065435003		496		1056P		0.0058731895		95.7528957529		99.9715973874
		1078P		0		0.0017459158		497		1078P		0.0013012116		95.9459459459		99.9728985991
		1087SD		0		0.0004642939		498		1087SD		0.0015436574		96.138996139		99.9744422565
		13C		0		0.0025085386		499		13C		0.0013164296		96.332046332		99.9757586861
		13P		0		0.0013216516		500		13P		0.0047120334		96.5250965251		99.9804707195
		1511C		0		0.0018352059		501		1511C		0.0010050224		96.7181467181		99.9814757419
		1806C		0		0.0025514072		502		1806C		0.0011507181		96.9111969112
99.98262646
		201C		0		0.0026811573		503		201C		0.0019068008		97.1042471042		99.9845332608
		201P		0		0.0024938884		504		201P		0.0007280371		97.2972972973		99.9852612979
		29BB		0		0.0004803276		505		29BB		0.0007571802		97.4903474903		99.9860184781
		29IC		0		0.0023385206		506		29IC		0.0003044165		97.6833976834		99.9863228945
		501C		0		0.0028268807		507		501C		0.0003783801		97.8764478764		99.9867012747
		502P		0		0.000046394		508		502P		0.0001089808		98.0694980695		99.9868102555
		503P		0		0.0018741312		509		503P		0.0008041783		98.2625482625		99.9876144337
		721TN		0		0.0004403632		510		721TN		0.002247594		98.4555984556		99.9898620277
		764RW		0		0.0015629526		511		764RW		0.0016486843		98.6486486486		99.991510712
		855SD		0		0.0010375641		512		855SD		0.0022570974		98.8416988417		99.9937678095
		8804C		0		0.0019114582		513		8804C		0.0024822791		99.0347490347		99.9962500886
		8809C		0		0.002439582		514		8809C		0.001491352		99.2277992278		99.9977414405
		917C		0		0.0005956784		515		917C		0.0020959118		99.4208494208		99.9998373524
		942BG		0		0.0014230858		516		942BG		0.0019782103		99.6138996139		100.0018155627
		983C		0		0.0023396937		517		983C		0.0010317854		99.8069498069		100.002847348
		991P		0		0.002321269		518		991P		0.001192371		100		100.0040397191
				101.1		99.9478716663						100.0040397191
*
DEI - PUC/Rio
*
*
DEI - PUC/Rio
*
Demanda independente: Classificação ABC
Curva ABC para peças de manutenção de ônibus
16% dos itens respondem por 88% dos gastos e 50% por 99% dos gastos
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
Repare que, neste caso o tamanho do lote Q é menor do que o ponto de pedido. Isso acontece com frequência porque o tamanho de lote é ditado por considerações econômicas e operacionais, enquanto o ponto de pedido pelas características da demanda durante o tempo de reposição que, em princípio, nada tem a ver com os custos considerados na determinação do tamanho do lote. Assim, neste caso, o estoque em mão fica sempre abaixo do ponto de pedido. O que, ocorre é que como o tempo de reposição é muito grande e o lote pequeno, para atender à demanda durante o tempo de reposição é necessário mais de um lote. Então, quando uma encomenda é feita a anterior (o mais de uma anterior) ainda não foi recebida. 
Para contornar esse problema de forma a se aplicar a qualquer situação, basta considerar como “nível de estoque” a “posição de estoque” que nada mais é do que o estoque em mão, mais as quantidades já encomendadas e ainda não recebidas, menos o que está fisicamente no estoque mas não está disponível para vender (ou consumir) seja porque está inutilizável, seja porque já está reservado para outra destinação, ou seja:
Posição de estoque = estoque em mão+quantidade já encomendada ainda não recebida-(inutilizáveis+empenhados+vendidos não embarcados+pendências a atender)
Usando a posição de estoque, a regra para disparar um pedido é: “faça um pedido apenas sempre que a posição de estoque atingir o ponto de pedido, ou ficar abaixo dele”. A quantidade a ser pedida será de acordo com o tipo de controle (s,Q) ou (s, S).
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
A seqüência de slides a seguir apresenta o Exemplo 10.2. A seqüência se desenvolve em etapas até a conclusão do exemplo, exibindo o desenvolvimento de equações-chave ao longo do caminho.
Este slide avança automaticamente.
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
Este slide avança automaticamente.
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
A seqüência de slides a seguir apresenta o Exemplo 10.4. A seqüência se desenvolve em etapas até a conclusão do exemplo, exibindo o desenvolvimento de equações-chave ao longo do caminho.
Este slide avança automaticamente.
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
A seqüência de slides a seguir apresenta o Exemplo 10.4. A seqüência se desenvolve em etapas até a conclusão do exemplo, exibindo o desenvolvimento de equações-chave ao longo do caminho.
Este slide avança automaticamente.
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
A seqüência de slides a seguir apresenta o Exemplo 10.4. A seqüência se desenvolve em etapas até a conclusão do exemplo, exibindo o desenvolvimento de equações-chave ao longo do caminho.
Este slide avança automaticamente.
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
DEI - PUC/Rio
Demanda Dependente
Demanda Dependente
*
DEI - PUC/Rio
*
DEI - PUC/Rio

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