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Chance-constrained programming and robust optimization approaches for uncertain hub location problems in a cooperative competitive environment

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SCIENTIA IRANICA 2022年第4期29卷 2149-2165页

作者： Nourzadeh, F. Ebrahimnejad, S. Khalili-Damghani, K. Hafezalkotob, A. Islamic Azad Univ Dept Ind Engn South Tehran Branch Tehran Iran Islamic Azad Univ Dept Ind Engn Karaj Branch POB 8485-313 Karaj Iran

In this paper, an integer programming model is offered for capacitated multial-location median hub location problems applicable to both cooperative and competitive environments among airlines. We divided the hubs into six independent categories by comparing the parameters of ticket price, travel time, and service quality for both the follower and leader airlines. The degrees of importance for the parameters of time and cost were determined by a multivariate lagrange interpolation method, which could be of significant help in allocating travelers to the follower airline hubs. Then, with regard to the seasonal demand of travelers, travel demand was considered as an uncertain parameter. To identify the deterministic equivalent forms for the considered categories of hub location models, the robust optimization method and the chance-constrained programming model were employed. Finally, the developed model was tested for a case study. The results indicated that the coalition of follower airlines could absorb nearly 2% of the leader airline travelers with relatively lower travel cost and time. (C) 2022 Sharif University of Technology. All rights reserved.

关键词： Hub location problem Robust optimization Chance-constrained programming Cooperative competitive environment multivariate lagrange interpolation function

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Development of a Model for Locating Hubs in a Competitive Environment under Uncertainty: A Robust Optimization Approach

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INTERNATIONAL JOURNAL OF ENGINEERING 2020年第1期33卷 124-133页

作者： Nourzadeh, F. Ebrahimnejad, S. Khalili-Damghani, K. Hafezalkotob, A. Islamic Azad Univ Dept Ind Engn South Tehran Branch Tehran Iran Islamic Azad Univ Dept Ind Engn Karaj Branch Karaj Iran

This article explores the development of previous models to determine hubs in a competitive environment. In this paper, by comparing parameters of the ticket price, travel time and the service quality of hub airports, airline hubs are divided into six categories. The degree of importance of travel time and travel cost are determined by a multivariate lagrange interpolation method, which can play an important role in allocating travelers to follower airline hubs. Then, based on the seasonal demand of travelers, we consider travel demand as uncertain parameters. To determine the robust counterpart of this category of hub location models, a robust optimization method is used. Finally, models are tested in a case study. The central results show that the follower airline's income has a considerable growth and can absorb nearly 2% of travelers of the leader airline due to lower travel costs and travel time compared to that of leader airline.

关键词： Competitive Location multivariate lagrange interpolation function Location Hub Robust Optimization

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