Consider the following problem. Maximize Z = c1x1 + c2x2, Subject to and x1 ¥ 0, x2

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Consider the following problem.
Maximize Z = c1x1 + c2x2,
Subject to
Consider the following problem.
Maximize Z = c1x1 + c2x2,
Subject to
and
x1

and
x1 ‰¥ 0, x2 ‰¥ 0.
The estimates and ranges of uncertainty for the parameters are shown in the next table.

Consider the following problem.
Maximize Z = c1x1 + c2x2,
Subject to
and
x1

(a) Use the graphical method to solve this model when using the estimates of the parameters.
(b) Now use robust optimization to formulate a conservative version of this model. Use the graphical method to solve this model. Show the values of Z obtained in parts (a) and (b) and then calculate the percentage change in Z by replacing the original model by the robust optimization model.

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Introduction to Operations Research

ISBN: 978-1259162985

10th edition

Authors: Frederick S. Hillier, Gerald J. Lieberman

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