In this paper, a stochastic multi-depot multi-objective vehicle routing problem (VRP) is studied. Based on observations in real-world problems, we develop an aspect of the problem, such as stochastic availability of routes. To solve the problem in this situation, a two-objective mathematical model is developed, in which the related objective functions are: (1) minimizing transportation costs and (2) maximizing probability of delivery to customers. The second objective function, which is nonlinear, has performed to a linear function. Since this problem is NP-hard, to solve it we propose simulated annealing (SA) that is a well-known meta-heuristic algorithm. To show the performance of this algorithm, we compare the related results in terms of run-time and objective function values with the lower bound and Lingo 8 software for different sizes of the given problem.
Hassanpour, H. A., Mosadegh-Khah, M., & Tavakkoli Moghaddam, R. (2009). Solving a Stochastic Multi-Depot Multi-Objective Vehicle Routing Problem by a Simulated Annealing. Advances in Industrial Engineering, 43(1), -.
MLA
Hosein Ali Hassanpour; Masoud Mosadegh-Khah; Reza Tavakkoli Moghaddam. "Solving a Stochastic Multi-Depot Multi-Objective Vehicle Routing Problem by a Simulated Annealing", Advances in Industrial Engineering, 43, 1, 2009, -.
HARVARD
Hassanpour, H. A., Mosadegh-Khah, M., Tavakkoli Moghaddam, R. (2009). 'Solving a Stochastic Multi-Depot Multi-Objective Vehicle Routing Problem by a Simulated Annealing', Advances in Industrial Engineering, 43(1), pp. -.
VANCOUVER
Hassanpour, H. A., Mosadegh-Khah, M., Tavakkoli Moghaddam, R. Solving a Stochastic Multi-Depot Multi-Objective Vehicle Routing Problem by a Simulated Annealing. Advances in Industrial Engineering, 2009; 43(1): -.
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