Pricing and location decisions in multi-objective facility location problem with M/M/m/k queuing systems |
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| Authors: | Reza Tavakkoli-Moghaddam Samira Vazifeh-Noshafagh Ata Allah Taleizadeh Vahid Hajipour Amin Mahmoudi |
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| Affiliation: | 1. School of Industrial Engineering and Engineering Optimization Research Group, College of Engineering, University of Tehran, Tehran, Iran;2. LCFC, Arts et Métier Paris Tech, Centre de Metz, France;3. Young Researchers and Elite Club, South Tehran Branch, Islamic Azad University, Tehran, Iran;4. Young Researchers and Elite Club, Qazvin Branch, Islamic Azad University, Qazvin, Iran;5. Department of Industrial Engineering, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran |
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| Abstract: | This article presents a new multi-objective model for a facility location problem with congestion and pricing policies. This model considers situations in which immobile service facilities are congested by a stochastic demand following M/M/m/k queues. The presented model belongs to the class of mixed-integer nonlinear programming models and NP-hard problems. To solve such a hard model, a new multi-objective optimization algorithm based on a vibration theory, namely multi-objective vibration damping optimization (MOVDO), is developed. In order to tune the algorithms parameters, the Taguchi approach using a response metric is implemented. The computational results are compared with those of the non-dominated ranking genetic algorithm and non-dominated sorting genetic algorithm. The outputs demonstrate the robustness of the proposed MOVDO in large-sized problems. |
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| Keywords: | facility location multi-objective optimization pricing queuing theory vibration damping optimization |
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