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On Relation Between Two-criteria User-optimized Route Choice Problem and Vector Variational Inequality Problem in fuzzy Environment | ||
| Caspian Journal of Mathematical Sciences | ||
| مقاله 27، دوره 11، شماره 1، 2022، صفحه 334-344 اصل مقاله (367.95 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2021.18863.1519 | ||
| نویسنده | ||
| Morad-Ali Peyvand* | ||
| University of Yasouj, Yasouj, Iran | ||
| تاریخ دریافت: 30 اردیبهشت 1399، تاریخ بازنگری: 17 اسفند 1399، تاریخ پذیرش: 23 اسفند 1399 | ||
| چکیده | ||
| A two-criteria user-optimized route choice problem is proposed, in which each user of a network system seeks to determine his/her optimal route of travel between an origin-destination (O-D) pair considering two-criteria simultaneously. In this problem, the two-criteria of travel, time and cost, between an O-D pair are fuzzy, in the sense that, time and cost of which links are chosen for traveling are uncertain. Applying the concept of $\alpha$-cut level, a fuzzy vector disutility function on a path is computed. Furthermore, the fuzzy vector equilibrium principle as a generalization and extension of the Wardrop equilibrium principle is defined. Finally, by reducing this fuzzy principle to a crisp one, the relationship between the vector equilibrium flow and the solution of a vector variational inequality problem is discussed. | ||
| کلیدواژه‌ها | ||
| Fuzzy equilibrium principle؛ Equilibrium flow؛ Vector variational inequality | ||
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آمار تعداد مشاهده مقاله: 134 تعداد دریافت فایل اصل مقاله: 107 |
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