2019
DOI: 10.14311/nnw.2019.29.012
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Genetic Algorithm for the Continuous Location-Routing Problem

Abstract: This paper focuses on the continuous location-routing problem that comprises of the location of multiple depots from a given region and determining the routes of vehicles assigned to these depots. The objective of the problem is to design the delivery system of depots and routes so that the total cost is minimal. The standard location-routing problem considers a finite number of possible locations. The continuous location-routing problem allows location to infinite number of locations in a given region and mak… Show more

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Cited by 17 publications
(7 citation statements)
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“…Secondly, from the perspective of algorithm characteristics, PSO based on swarm intelligence strategy seeks the optimal solution by simulating the foraging of birds within a certain range ( Chen & Tan, 2018 ), which has certain similarity with the site location problem in the kernel. However, when finding the optimal solution, GA based on evolution strategy has lots of abstract operations such as chromosome crossover and mutation for site location problem ( Alp, Erkut & Drezner, 2003 ; Rybičková, Mocková & Teichmann, 2019 ), which may affect the convergence of the algorithm. Figure 4 shows the convergence of the two algorithms after we run the RC207 example and get the value around average fitness value.…”
Section: Computational Experimentsmentioning
confidence: 99%
“…Secondly, from the perspective of algorithm characteristics, PSO based on swarm intelligence strategy seeks the optimal solution by simulating the foraging of birds within a certain range ( Chen & Tan, 2018 ), which has certain similarity with the site location problem in the kernel. However, when finding the optimal solution, GA based on evolution strategy has lots of abstract operations such as chromosome crossover and mutation for site location problem ( Alp, Erkut & Drezner, 2003 ; Rybičková, Mocková & Teichmann, 2019 ), which may affect the convergence of the algorithm. Figure 4 shows the convergence of the two algorithms after we run the RC207 example and get the value around average fitness value.…”
Section: Computational Experimentsmentioning
confidence: 99%
“…The efficiency and quality of the optimal solution improve when the LRP is solved as a whole. Rybickova et al [22] adopted a genetic algorithm to solve the continuous LRP. Zhang et al [23] adopted an improved particle swarm optimization algorithm to solve the dynamic multi-objective LRP in the emergency response process of major oil spill accidents at sea.…”
Section: Lrpmentioning
confidence: 99%
“…Constraint (16) means that each distribution vehicle will return to the original distribution center after the completion of the service, constraint (17) indicates that the customer's demand must be met, constraint (18) indicates that the vehicle load constraint, that is, the customer demand delivered by the vehicle on any route, must not exceed the vehicle load limit, and constraint (19) indicates that the customer demand scale does not exceed the vehicle load limit. Constraint (20) indicates that there is no distribution route between each distribution center, constraint (21) indicates that the total customer demand served by a distribution center should not exceed the capacity limit of the distribution center, and constraint (22) is the lower-level decision variable.…”
Section: The Distribution Vehicles' Dispatch Costsmentioning
confidence: 99%
“…It is necessary to consider that each run of the sequence represents solving of a hard and large combinatorial problem, which solution is obtained by time demanding inspection of a vast searching tree. To avoid this computational burden, professionals prefer a heuristic approach based on imitating the biological processes [18][19]. To obtain a good set of the non-dominated feasible solutions, an evolutionary metaheuristic seems to be a convenient tool, because an evolutionary metaheuristic is able to build up a set of the non-dominated solutions continuously in the form of an elite set [20].…”
Section: Minimize B X J J S Smentioning
confidence: 99%