2016
DOI: 10.1016/j.cor.2015.09.002
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Solving a multi-objective dynamic stochastic districting and routing problem with a co-evolutionary algorithm

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Cited by 62 publications
(38 citation statements)
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“…The objectives are the same as in Lei et al (2015), but instead of using a weighted sum as the objective function, the authors treat the problem as a true multi-objective optimization problem and solve it with a multi-objective evolutionary algorithm. Although the problems in Lei et al (2015) and Lei et al (2016) consider a multi-period planning horizon, they do not contain a scheduling component comparable to the MPSTDP-S. In Lei et al (2015), the service days within 190 each period must be decided, but, in contrast to the MPSTDP-S, each customer must be served exactly once per period and, hence, there are no restrictions on the temporal distribution of visits.…”
Section: Related Workmentioning
confidence: 99%
“…The objectives are the same as in Lei et al (2015), but instead of using a weighted sum as the objective function, the authors treat the problem as a true multi-objective optimization problem and solve it with a multi-objective evolutionary algorithm. Although the problems in Lei et al (2015) and Lei et al (2016) consider a multi-period planning horizon, they do not contain a scheduling component comparable to the MPSTDP-S. In Lei et al (2015), the service days within 190 each period must be decided, but, in contrast to the MPSTDP-S, each customer must be served exactly once per period and, hence, there are no restrictions on the temporal distribution of visits.…”
Section: Related Workmentioning
confidence: 99%
“…One of their main contributions is the derivation of analytical expressions to determine the optimal number of service districts for the US postal system. A methodology to design multidelivery tours associated with the servicing of an urban region of irregular shape is presented in [15]. The authors' methodology is based on a sweep approach and assumes a rectangular grid structure.…”
Section: Literature Reviewmentioning
confidence: 99%
“…They presented a Tabu Search (TS) and multistart heuristics to solve the problem. Also, a multiobjective dynamic stochastic districting and routing problem is considered in [15]. In this problem, the customers of a territory Mathematical Problems in Engineering 3 stochastically evolve over the planning periods.…”
Section: Literature Reviewmentioning
confidence: 99%
“…This model uses a goal programming approach to address this aim and calculates server workload with an AH model developed by Burwell [39]. Lei et al [51] formulated a four-objective model for a districting-routing problem under dynamic and stochastic conditions. They solved this model by a two-stage stochastic programming approach and an enhanced multi-objective evolutionary algorithm.…”
Section: Single Dispatch Total Backup and Non-homogeneous Serversmentioning
confidence: 99%
“…Constraint (51) calculates jm  , where its denominator shows the probability that all servers are not busy. Constraint (51) shows the set of flow-balancing equations, which compute the probability of states. Actually, these equations are the modified versions of the original HQM [2] to take into account different service rates for inter-district and intra-district customers.…”
Section: Location Models and Solution Approachesmentioning
confidence: 99%