Generalized min-max programming problems subject to addition-min fuzzy relational inequalities

In this paper, we explore a new generalized min-max programming problem with constraints of addition-min fuzzy relational inequalities. This new generalized min-max programming model provides unified settings that enable the system manager to understand the system congestion level or the worst indiv...

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Published inFuzzy sets and systems Vol. 447; pp. 22 - 38
Main Authors Wu, Yan-Kuen, Chiu, Ya-Ling, Guu, Sy-Ming
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.10.2022
Subjects
A single-variable optimization model
Addition-min fuzzy relational inequalities
Generalized min-max programming problem
The iterative approach
The iterative approach
A single-variable optimization model
Generalized min-max programming problem
Addition-min fuzzy relational inequalities
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Abstract In this paper, we explore a new generalized min-max programming problem with constraints of addition-min fuzzy relational inequalities. This new generalized min-max programming model provides unified settings that enable the system manager to understand the system congestion level or the worst individual cost in the BitTorrent-like peer-to-peer file-sharing system. Theoretical results are presented to illustrate how the optimal value of generalized min-max programming problem can be obtained by solving a single-variable optimization model. Two approaches (an analytic method and an iterative approach) are provided to solve this single-variable optimization model. The complexity analyses of these two approaches are provided. Numerical examples demonstrate our proposed approaches.
AbstractList In this paper, we explore a new generalized min-max programming problem with constraints of addition-min fuzzy relational inequalities. This new generalized min-max programming model provides unified settings that enable the system manager to understand the system congestion level or the worst individual cost in the BitTorrent-like peer-to-peer file-sharing system. Theoretical results are presented to illustrate how the optimal value of generalized min-max programming problem can be obtained by solving a single-variable optimization model. Two approaches (an analytic method and an iterative approach) are provided to solve this single-variable optimization model. The complexity analyses of these two approaches are provided. Numerical examples demonstrate our proposed approaches.
Author Chiu, Ya-Ling
Wu, Yan-Kuen
Guu, Sy-Ming
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Keywords The iterative approach
A single-variable optimization model
Generalized min-max programming problem
Addition-min fuzzy relational inequalities
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Snippet In this paper, we explore a new generalized min-max programming problem with constraints of addition-min fuzzy relational inequalities. This new generalized...
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SubjectTerms A single-variable optimization model
Addition-min fuzzy relational inequalities
Generalized min-max programming problem
The iterative approach
Title Generalized min-max programming problems subject to addition-min fuzzy relational inequalities
URI https://dx.doi.org/10.1016/j.fss.2022.03.017
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