%0 Journal Article
%T Solving a Stochastic Multi-Depot Multi-Objective Vehicle Routing Problem by a Simulated Annealing
%J Advances in Industrial Engineering
%I University of Tehran
%Z 2783-1744
%A Hassanpour, Hosein Ali
%A Mosadegh-Khah, Masoud
%A Tavakkoli Moghaddam, Reza
%D 2009
%\ 11/22/2009
%V 43
%N 1
%P -
%! Solving a Stochastic Multi-Depot Multi-Objective Vehicle Routing Problem by a Simulated Annealing
%K Multi-Depots
%K Multi-Objective
%K Simulated Annealing
%K Stochastic
%K Vehicle routing problem
%R
%X 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.
%U https://aie.ut.ac.ir/article_20433_10723744c02e93f78deac6b8ceb6f8d6.pdf