The Capacitated Multiple Allocation Hub Location Problem under Demand Uncertainty and Excess Capacity with Possibilistic Programing Approach

Mohammad Reza Shahraki,Shima Shirvani

doi:10.31803/tg-20201208185701

Mohammad Reza Shahraki, Shima Shirvani

Open Access

https://doi.org/10.31803/tg-20201208185701

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Abstract

Facility location is a factor of competitiveness and demand satisfaction. Using a hub on the network can facilitate communication across the network and reduce costs. In the current study, with regards to demand uncertainty, operational costs of the hub, and building extra capacity in the hub it has been aimed to develop a mathematical programing model for the middle hub location problem with a certain capacity,. Due to the presence of the uncertainty in the problem’s parameters, the possibilistic programing approach which is a subset of fuzzy programing has been used. The proposed model has been investigated via GAMS software and the CPLX solver. Finally, the proposed model has been validated by the dataset obtained from Iran Aviation Dataset (IAD) for a round-trip, and the proper locations for facilities in each level and allocation of the customers to the facilities, were determined by the obtained Pareto analysis answer.

Highlights

The hubs are specific facilities that serve as the centers for transfer, coordination, and integration in the distribution systems
The main objective of the hub location models is the selection of the proper hub points from the potential points and allocation of the non-hub point to selected hub points by the model
Its objective function is the minimization of the total costs of transportation between the nodes and the hub building costs

Summary

Introduction

The hubs are specific facilities that serve as the centers for transfer, coordination, and integration in the distribution systems. The research on locating and designing the hub network has been significantly improved during the last two decades. In the complex systems of transportation, communication, and computer systems, there are many points as the origin and destination among which the flow is exchanged. Each of the network nodes is connected to one or several hubs and the hubs, by the use of these links as well as the links, which exist between them, can transfer the flow of information or goods. There is a very large set of points in the hub networks and the use of hubs has led the link between them to be established with a very low number of the links [2]

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