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2014
DOI: 10.15837/ijccc.2014.3.161
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An Efficient Solution for the VRP by Using a Hybrid Elite Ant System

Abstract: The vehicle routing problem (VRP) is a well-known NP-Hard problem in operation research which has drawn enormous interest from many researchers during the last decades because of its vital role in planning of distribution systems and logistics. This article presents a modified version of the elite ant system (EAS) algorithm called HEAS for solving the VRP. The new version mixed with insert and swap algorithms utilizes an effective criterion for escaping from the local optimum points. In contrast to the classic… Show more

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Cited by 16 publications
(9 citation statements)
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“…T able 2 : summarizes the results obtained from the application of the proposed solution method, abbreviated as TSTS algorithm as the first method of the three strategies, on the problem instances of [5]. Furthermore, the detailed results of the best performing metaheuristic implementations from other authors are also provided, using the following abbreviations: SA and TS [18], genetic algorithm (GA) [2], scatter search algorithm combined by ACO (SS-ACO) [27], particle swarm intelligent (PSO) [1], genetic algorithm combined with particle swarm intelligent (GAPSO) [16] and (HEAS) [26] in addition to the Best Known Result (BKR). In addition to a multi-start version, where the algorithm is repeated 10 times and the best solution is kept.…”
Section: Computational Resultsmentioning
confidence: 99%
“…T able 2 : summarizes the results obtained from the application of the proposed solution method, abbreviated as TSTS algorithm as the first method of the three strategies, on the problem instances of [5]. Furthermore, the detailed results of the best performing metaheuristic implementations from other authors are also provided, using the following abbreviations: SA and TS [18], genetic algorithm (GA) [2], scatter search algorithm combined by ACO (SS-ACO) [27], particle swarm intelligent (PSO) [1], genetic algorithm combined with particle swarm intelligent (GAPSO) [16] and (HEAS) [26] in addition to the Best Known Result (BKR). In addition to a multi-start version, where the algorithm is repeated 10 times and the best solution is kept.…”
Section: Computational Resultsmentioning
confidence: 99%
“…So, these algorithms, despite taking more time to solve, are needed to produce better solutions than heuristic algorithms with appropriate solutions and make proper use of the concept of accident. Of course, it should be noted that the very good property of metaheuristic algorithms is that the time of implementation of the algorithm is user-dependent, and based on the acceptable time in each problem, the algorithm is implemented [17][18][19][20]. erefore, there is a direct relationship in these algorithms for the run time and the quality of the obtained solutions, which can change according to the user's diagnosis.…”
Section: The Related Work and The Classic Psomentioning
confidence: 99%
“…This algorithm improves the performance of each individual of the population. We find other metaheuristic methods that have been developed for the resolution of the VRP who is one of the most famous combinatorial optimization problems [15], [21].…”
Section: Pso For the Vehicle Routing Problem And The Pick-up And Delimentioning
confidence: 99%
“…The chromosomes of the solution are encoded using path representation in which, for each depot, the couples are listed in the order in which they are visited [21].…”
Section: Structure Of the Initial Populationmentioning
confidence: 99%