عنوان مقاله [English]
Location and routing problems in emergencies are so important. This paper
considers a location–routing problem with reliability by the means of
considering the probability of failure occurrence. The problem has two
objectives that minimizes the total cost and maximizes the reliability.
Maximizing the reliability is expressed as minimizing the expected cost of the
failure. In this problem, three kinds of failures are considered, which are:
failure of centers, routes and vehicles. Since travel costs is dependent on many
parameters and hence it is not possible to estimate exactly so they are
considered as fuzzy number using linguistic variables. At first, mathematical
formulation of the problem is presented, and then because the problem is the
NP-hard therefore, meta-heuristics algorithms are used to solve the model.
Additionally, a bi-objective discrete firefly algorithm is providedand then in
order to evaluate the performance of the algorithm, several test problems are
implemented and compared with the NSGA-II. The results show that the biobjective
discrete firefly algorithm has a better DM measure; however, it is
only suitable for small to medium-sized problems due to the MID measure
and it loses its efficiency in larger sizes.
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