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On the 0-1 implementation of the Tchebycheff solution approach: A water quality illustration

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Bibliographic Details
Title: On the 0-1 implementation of the Tchebycheff solution approach: A water quality illustration
Authors: Steuer, Ralph E., Wood, Eric F.
Publisher Information: Elsevier Science Publishers B.V. (North-Holland), Amsterdam
Subject Terms: multiple objective integer programming, Management decision making, including multiple objectives, Mixed integer programming, mixed 0-1 river basin water quality planning problem, Sensitivity, stability, parametric optimization, augmented weighted Tchebycheff procedure, Operations research and management science
Description: This paper demonstrates the implementability of the augmented weighted Tchebycheff procedure for solving multiple objective integer programming problems. A mixed 0-1 river basin water quality planning problem is used for purposes of illustration. The water quality planning problem is especially challenging because it possesses unsupported nondominated criterion vectors. The advantage of the Tchebycheff approach is that it can be used with large integer MOLPs, can compute unsupported nondominated criterion vectors, and can deal with nonconcave utility functions.
Document Type: Article
File Description: application/xml
Access URL: https://zbmath.org/3980926
Accession Number: edsair.c2b0b933574d..b6644ea4cb56c90a0580c00ed1ce8dd6
Database: OpenAIRE
Description
Abstract:This paper demonstrates the implementability of the augmented weighted Tchebycheff procedure for solving multiple objective integer programming problems. A mixed 0-1 river basin water quality planning problem is used for purposes of illustration. The water quality planning problem is especially challenging because it possesses unsupported nondominated criterion vectors. The advantage of the Tchebycheff approach is that it can be used with large integer MOLPs, can compute unsupported nondominated criterion vectors, and can deal with nonconcave utility functions.