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 and Tavakkoli Moghaddam,R . (2009). Solving a Stochastic Multi-Depot Multi-Objective Vehicle Routing Problem by a Simulated Annealing. (e20433). Advances in Industrial Engineering, 43(1), e20433
MLA
Hassanpour,H A , , Mosadegh-Khah,M , and Tavakkoli Moghaddam,R . "Solving a Stochastic Multi-Depot Multi-Objective Vehicle Routing Problem by a Simulated Annealing" .e20433 , Advances in Industrial Engineering, 43, 1, 2009, e20433.
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), e20433.
CHICAGO
H A Hassanpour, M Mosadegh-Khah and R Tavakkoli Moghaddam, "Solving a Stochastic Multi-Depot Multi-Objective Vehicle Routing Problem by a Simulated Annealing," Advances in Industrial Engineering, 43 1 (2009): e20433,
VANCOUVER
Hassanpour H A, Mosadegh-Khah M, Tavakkoli Moghaddam R. Solving a Stochastic Multi-Depot Multi-Objective Vehicle Routing Problem by a Simulated Annealing. Adv. Ind. Eng.. 2009;43(1):e20433.