Pricing and location decisions in multi-objective facility location problem with M/M/m/k queuing systems. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Tavakkoli-Moghaddam, Reza; Vazifeh-Noshafagh, Samira; Taleizadeh, Ata Allah; Hajipour, Vahid; Mahmoudi, Amin
• Is Part Of: Engineering optimization. Volume 49:Issue 1(2017)
• Page Start: 136
• Page End: 160
• Publication Date: 2017-01-02
• Subjects: facility location -- multi-objective optimization -- pricing -- queuing theory -- vibration damping optimization; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2016.1163630
• Languages: English
• ISSNs: 0305-215X

Abstract

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.