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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Bibliographic Details
Published in:	Fuzzy sets and systems Vol. 447; pp. 22 - 38
Main Authors:	Wu, Yan-Kuen, Chiu, Ya-Ling, Guu, Sy-Ming
Format:	Journal Article
Language:	English
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
ISSN:	0165-0114
Online Access:	Get full text
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Summary:	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.
ISSN:	0165-0114
DOI:	10.1016/j.fss.2022.03.017