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.
| Original language | English |
|---|---|
| Pages (from-to) | 22-38 |
| Number of pages | 17 |
| Journal | Fuzzy Sets and Systems |
| Volume | 447 |
| DOIs | |
| State | Published - 15 10 2022 |
Bibliographical note
Publisher Copyright:© 2022 Elsevier B.V.
Keywords
- A single-variable optimization model
- Addition-min fuzzy relational inequalities
- Generalized min-max programming problem
- The iterative approach