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

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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
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  Data: On the 0-1 implementation of the Tchebycheff solution approach: A water quality illustration
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  Data: <searchLink fieldCode="AR" term="%22Steuer%2C+Ralph+E%2E%22">Steuer, Ralph E.</searchLink><br /><searchLink fieldCode="AR" term="%22Wood%2C+Eric+F%2E%22">Wood, Eric F.</searchLink>
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  Data: Elsevier Science Publishers B.V. (North-Holland), Amsterdam
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  Data: <searchLink fieldCode="DE" term="%22multiple+objective+integer+programming%22">multiple objective integer programming</searchLink><br /><searchLink fieldCode="DE" term="%22Management+decision+making%2C+including+multiple+objectives%22">Management decision making, including multiple objectives</searchLink><br /><searchLink fieldCode="DE" term="%22Mixed+integer+programming%22">Mixed integer programming</searchLink><br /><searchLink fieldCode="DE" term="%22mixed+0-1+river+basin+water+quality+planning+problem%22">mixed 0-1 river basin water quality planning problem</searchLink><br /><searchLink fieldCode="DE" term="%22Sensitivity%2C+stability%2C+parametric+optimization%22">Sensitivity, stability, parametric optimization</searchLink><br /><searchLink fieldCode="DE" term="%22augmented+weighted+Tchebycheff+procedure%22">augmented weighted Tchebycheff procedure</searchLink><br /><searchLink fieldCode="DE" term="%22Operations+research+and+management+science%22">Operations research and management science</searchLink>
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  Data: 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.
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      – SubjectFull: multiple objective integer programming
        Type: general
      – SubjectFull: Management decision making, including multiple objectives
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      – SubjectFull: Mixed integer programming
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      – SubjectFull: mixed 0-1 river basin water quality planning problem
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      – SubjectFull: Sensitivity, stability, parametric optimization
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      – SubjectFull: augmented weighted Tchebycheff procedure
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      – SubjectFull: Operations research and management science
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      – TitleFull: On the 0-1 implementation of the Tchebycheff solution approach: A water quality illustration
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