Two-Stage Stochastic Linear Programming with Recourse: A Characterization of Local Regions Using Response Surface Methodology

David T Mills

ISBN 10: 1249586763 / ISBN 13: 9781249586760

Published by Biblioscholar, 2012

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This item is printed on demand. New copy - Usually dispatched within 5-9 working days 211. Seller Inventory # C9781249586760

Bibliographic Details

Title: Two-Stage Stochastic Linear Programming with...

Publisher: Biblioscholar

Publication Date: 2012

Binding: Paperback / softback

Condition: New

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Synopsis:

The LP recourse problem applies to two-stage optimization problems where uncertainty in resource availability of the second stage hinders informed decision making. The recourse function affords a way to compensate "later" for an error in prediction "now." The literature provides a rich body of work on the optimization of such problems, but little research has been accomplished regarding the characterization of the surface in the local region of optimality, in particular sensitivity analysis. A decision maker faced with considerations other than the modeled objective function must be presented with a way to estimate the impact of operating at non-optimal decision variable values. This work develops and demonstrates a technique for characterizing the surface using response surface methodology. Specifically, the flexibility and utility of RSM techniques applied to this class of problems is demonstrated, and a methodology for characterizing the surface in the local region using a low-order polynomial is developed.