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Given is a decision payoff table and a Sub Decision Payoff Table. Use Minimax Re

ID: 453141 • Letter: G

Question

Given is a decision payoff table and a Sub Decision Payoff Table. Use Minimax Regret as an evaluation criterion to evaluate alternatives.

Future Demand

Alternatives

Low

Moderate

High

Small Facility

41

37

36

Medium Facility

32

38

34

Large Facility

-8

32

42

Alternatives

Worst Regrets

Small Facility

?

Medium Facility

?

Large Facility

?


a) The worst regrets for alternative Small Facility is

b) The worst regrets for alternative Medium Facility is

c) The worst regrets for alternative Large Facility is

d) The best course of action or decision by using Minimax Regret is to select facility

Future Demand

Alternatives

Low

Moderate

High

Small Facility

41

37

36

Medium Facility

32

38

34

Large Facility

-8

32

42

Explanation / Answer

The first step in minimax regret is to prepare a table of regrets. To do this subtract each column with best payoff in that column

=41-(-8)=49

Next step is to find the worst regret for each alternative. For the first alternative is, the worst is 6, for the second the worst is 9 and for the third the worst is 49

The best of the worst regrets would be choosen as minimax regret. The lowest regret is 6 which is for small facility.

a) The worst regrets for alternative Small Facility is 6

b) The worst regrets for alternative Medium Facility is 9

c)The worst regrets for alternative Large Facility is 49

d)The best course of action or decision by using Minimax Regret is to select  small facility.

Alternatives/Regrets Low Moderate High small facility =41-41=00 =38-37=1 =42-36=6 Medium facility =41-32=09 =38-38=0 =42-34=8 Large facility

=41-(-8)=49

=38-32=6 =42-42=0
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