Using the optimistic criterion, which alternative is best?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 42P
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4. A plant manager considers the operational cost per hour of five machine alternatives.
The cost per hour is sensitive to three potential weather conditions: cold, mild, and
warm. The following table represents the operations cost per hour for each alternative-
state of nature combination:
States of Nature
Weather related cost per hour
Alternatives Cold cost/day Mild cost/day Warm cost/day
$50
$45
$40
Machine 1
Machine 2
Machine 3
Machine 4
Machine 5
$40
$42|
$35
$25
$45
$47
$54
$48
$45
$60
$45
$40
Using the optimistic criterion, which alternative is best?
Using the pessimistic criterion, which alternative is best?
Transcribed Image Text:4. A plant manager considers the operational cost per hour of five machine alternatives. The cost per hour is sensitive to three potential weather conditions: cold, mild, and warm. The following table represents the operations cost per hour for each alternative- state of nature combination: States of Nature Weather related cost per hour Alternatives Cold cost/day Mild cost/day Warm cost/day $50 $45 $40 Machine 1 Machine 2 Machine 3 Machine 4 Machine 5 $40 $42| $35 $25 $45 $47 $54 $48 $45 $60 $45 $40 Using the optimistic criterion, which alternative is best? Using the pessimistic criterion, which alternative is best?
Using the equally likely criterion, which alternative is best?
Assume that for a randomly selected day, there is a 30% probability of cold weather,
50% probability of mild weather, and 20% probability of warm weather. What alternative
is best using EMV?
Assume that for a randomly selected day, there is a 30% probability of cold weather,
50% probability of mild weather, and 20% probability of warm weather. What is the
EVPI?
Transcribed Image Text:Using the equally likely criterion, which alternative is best? Assume that for a randomly selected day, there is a 30% probability of cold weather, 50% probability of mild weather, and 20% probability of warm weather. What alternative is best using EMV? Assume that for a randomly selected day, there is a 30% probability of cold weather, 50% probability of mild weather, and 20% probability of warm weather. What is the EVPI?
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