مقاله بهینه سازی استوار مکان یابی محور با عدم قطعیت در ضریب تخفیف آلفا

Robust hub location problem with uncertain inter hub flow discount factor

Reza Rahmati
Department of Industrial Engineering
Shahed University
Tehran, Iran
reza.rahmati@shahed.ac.ir

Mahdi Bashiri
Department of Industrial Engineering
Shahed University
Tehran, Iran
bashiri@shahed.ac.ir

Abstract

Hub location problem seeks to find the optimal location of hub facilities and allocate demand points to them for transferring of demands between origin and destination points. This paper is aimed to model the uncapacitated multiple allocation hub location problem in an uncertain environment. First, a deterministic model of uncapacitated multiple allocation hub location is introduced, then a robust optimization approach is used for dealing with uncertain parameters. The mathematical formulation of the considered problem is developed with uncertainty in demands, hub establishment fixed cost and inter hub flow discount factor (α). By means of an uncertainty budget, the level of conservatism is controlled. The counterpart models are compared with each other using well known CAB and AP data sets with different levels of uncertainty. The results show that with increasing of the uncertainty, more hubs will be established with presence of demands uncertainty, while it is decreased when establishment cost or inter hub flow discount factor has uncertainty nature.

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