One-stage uncertain linear optimization
Publish place: Journal of Hyperstructures، Vol: 7، Issue: 0
Publish Year: 1397
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JHSMS-7-0_004
تاریخ نمایه سازی: 16 بهمن 1402
Abstract:
Uncertainty is one of the intrinsic features of natural phenomenon and optimization is not an exception. Parameters in an optimization problem may be inaccurately presented, or due to variation after solving the problem, the current optimal solution may not be optimal or feasible for the new data. One of the approaches towards the uncertainty is the uncertainty theory initiated by Liu in ۲۰۰۷ and completed in ۲۰۱۱. This theory describes the uncertainty originated from human reasoning in mathematical axiomatic words. In this paper, we consider one-stage uncertain linear optimization problem, where the parameters linearly depend on several independent uncertain variables. A solution method is presented which is similar to the branch and bound method for the integer linear program. The presented methodology is explained by simple illustrative examples.
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Authors
Zeinab Zarea
Department of Applied Mathematics, Azarbaijan Shahid Madani University Tabriz, Iran
Alireza Ghaffari-Hadigheh Ghaffari-Hadigheh
Department of Applied Mathematics, Azarbaijan Shahid Madani University Tabriz, Iran