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Utility Theory

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Title: PowerPoint Author: EnochX Last modified by: EnochX Created Date: 5/30/2000 6:20:05 AM Document presentation format: Company – PowerPoint PPT presentation

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Title: Utility Theory


1
Production Information and Decision Systems Final
Presentation
Utility Theory ?????????????
????????? ???????????
2
Goal?? Optimal Operation Point
Indifference Curve
Cycle Time (better gt)
Optimal Operation Point
Option Curve
Throughput (better gt)
3
??????
??Option Curve????? ????Throughput? Cycle
Time?Data,???????????oc(x)
??????? ????Throghput?????Cycle Time???????W
??????????,oc(x)????,??Lagrange?????????
4
? Queuing Capacity Model ?????????,????? scatter
diagram ,????????????
Cycle Time (better gt)
Throughput (better gt)
5
????????????
???????,???????????????
  • ?????
  • ?????
  • ?????
  • ????

6
??????????
??
?? 1. MSE 0.053399 2. ???????????? 3.???
Option Curve ?????
Cycle Time (better gt)
Throughput (better gt)
7
??????????
??
?? 1. MSE 0.011198 2.?????????????
,??????????
Cycle Time (better gt)
Throughput (better gt)
8
??????????
??
?? 1. MSE 0.002379 2. ??????,?????
Cycle Time (better gt)
Throughput (better gt)
9
?????????
??
?? 1.MSE 0.0099569 2.???????,?????
Cycle Time (better gt)
Throughput (better gt)
10
???????
Throughput ???? UTH
Cycle Time ???? UCT
??????
????? U
11
????????????
Indifference Curves
Option Curve
12
Lagrange ???????
????????? U(x,y)
???? OCE(x,y) 0 OC(x) - y
Lagrange??
??????????? x, y
  • ?????
  • ?(x,y)???????
  • ?? m ???? n ?? ??,??????

13
Optimal Operation Point ????
?????? Throughput (ST) 8760 wafers
(SA) 13080 wafers Cycle Time
(ST) 2009.40 hours (SA)
591.06 hours
Optimal operation point (x,y)(0.68,0.69)
??????? Throughput ST x ( ST SA )
11770.61 wafers Cycle
Time ST y ( ST SA )
1040.80 hours
14
??????????????????
Let yOC(x) be option curve Let
u(x)U(x,y)U(x,OC(x))UTH(x)UCT(OC(x)) By
Chain Rule
Let
Solve x first, then compute y and U by OC(x) and
U(x,y) respectively
15
??
  • ????????
  • Lagrange ??
  • ????????
  • ????? Optimal Operation Point
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