Consider the algorithm SeldeLP. Construct an example to show that the optimum of the linear program defined by the constraints in B(H\h) u {h} may be different from the optimum of the linear program defined by H. Thus, if the test in Step 2.1 fails and we proceed to Step 2.2, it does not suffice to consider the constraints in B(H\h) u {h} alone.

Consider the algorithm SeldeLP. Construct an example to show that the optimum of the linear program defined by the constraints in B(H\h) u {h} may be different from the optimum of the linear program defined by H. Thus, if the test in Step 2.1 fails and we proceed to Step 2.2, it does not suffice to consider the constraints in B(H\h) u {h} alone.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter11: Nonlinear Programming

Section11.11: Separable Programming

Problem 4P

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