An effective PSO-inspired algorithm for the team orienteering problem

•A new fast optimal split for the team orienteering problem.•An effective particle swarm algorithm (PSOiA).•PSOiA is robust and outperforms the state-of-the-art algorithms in the literature. The Team Orienteering Problem (TOP) is a particular vehicle routing problem in which the aim is to maximize t...

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Published inEuropean journal of operational research Vol. 229; no. 2; pp. 332 - 344
Main Authors Dang, Duc-Cuong, Guibadj, Rym Nesrine, Moukrim, Aziz
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.09.2013
Elsevier
Elsevier Sequoia S.A
Subjects
Online AccessGet full text
ISSN0377-2217
1872-6860
1872-6860
DOI10.1016/j.ejor.2013.02.049

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Abstract •A new fast optimal split for the team orienteering problem.•An effective particle swarm algorithm (PSOiA).•PSOiA is robust and outperforms the state-of-the-art algorithms in the literature. The Team Orienteering Problem (TOP) is a particular vehicle routing problem in which the aim is to maximize the profit gained from visiting customers without exceeding a travel cost/time limit. This paper proposes a new and fast evaluation process for TOP based on an interval graph model and a Particle Swarm Optimization inspired Algorithm (PSOiA) to solve the problem. Experiments conducted on the standard benchmark of TOP clearly show that our algorithm outperforms the existing solving methods. PSOiA reached a relative error of 0.0005% whereas the best known relative error in the literature is 0.0394%. Our algorithm detects all but one of the best known solutions. Moreover, a strict improvement was found for one instance of the benchmark and a new set of larger instances was introduced.
AbstractList The Team Orienteering Problem (TOP) is a particular vehicle routing problem in which the aim is to maximize the profit gained from visiting customers without exceeding a travel cost/time limit. This paper proposes a new and fast evaluation process for TOP based on an interval graph model and a Particle Swarm Optimization inspired Algorithm (PSOiA) to solve the problem. Experiments conducted on the standard benchmark of TOP clearly show that our algorithm outperforms the existing solving methods. PSOiA reached a relative error of 0.0005% whereas the best known relative error in the literature is 0.0394%. Our algorithm detects all but one of the best known solutions. Moreover, a strict improvement was found for one instance of the benchmark and a new set of larger instances was introduced.
The team orienteering problem (TOP) is a particular vehicle routing problem in which the aim is to maximize the profi t gained from visiting customers without exceeding a travel cost/time limit. This paper proposes a new and fast evaluation process for TOP based on an interval graph model and a Particle Swarm Optimization inspired algorithm (PSOiA) to solve the problem. Experiments conducted on the standard benchmark of TOP clearly show that our algorithm outperforms the existing solving methods. PSOiA reached a relative error of 0.0005% whereas the best known relative error in the literature is 0.0394%. Our algorithm detects all but one of the best known solutions. Moreover, a strict improvement was found for one instance of the benchmark and a new set of larger instances was introduced.
The Team Orienteering Problem (TOP) is a particular vehicle routing problem in which the aim is to maximize the profit gained from visiting customers without exceeding a travel cost/time limit. This paper proposes a new and fast evaluation process for TOP based on an interval graph model and a Particle Swarm Optimization inspired Algorithm (PSOiA) to solve the problem. Experiments conducted on the standard benchmark of TOP clearly show that our algorithm outperforms the existing solving methods. PSOiA reached a relative error of 0.0005% whereas the best known relative error in the literature is 0.0394%. Our algorithm detects all but one of the best known solutions. Moreover, a strict improvement was found for one instance of the benchmark and a new set of larger instances was introduced. [PUBLICATION ABSTRACT]
•A new fast optimal split for the team orienteering problem.•An effective particle swarm algorithm (PSOiA).•PSOiA is robust and outperforms the state-of-the-art algorithms in the literature. The Team Orienteering Problem (TOP) is a particular vehicle routing problem in which the aim is to maximize the profit gained from visiting customers without exceeding a travel cost/time limit. This paper proposes a new and fast evaluation process for TOP based on an interval graph model and a Particle Swarm Optimization inspired Algorithm (PSOiA) to solve the problem. Experiments conducted on the standard benchmark of TOP clearly show that our algorithm outperforms the existing solving methods. PSOiA reached a relative error of 0.0005% whereas the best known relative error in the literature is 0.0394%. Our algorithm detects all but one of the best known solutions. Moreover, a strict improvement was found for one instance of the benchmark and a new set of larger instances was introduced.
Author Dang, Duc-Cuong
Guibadj, Rym Nesrine
Moukrim, Aziz
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Issue 2
Keywords Interval graph
Swarm intelligence
Vehicle routing
Optimal split
Knapsack problem
Language English
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Snippet •A new fast optimal split for the team orienteering problem.•An effective particle swarm algorithm (PSOiA).•PSOiA is robust and outperforms the...
The Team Orienteering Problem (TOP) is a particular vehicle routing problem in which the aim is to maximize the profit gained from visiting customers without...
The team orienteering problem (TOP) is a particular vehicle routing problem in which the aim is to maximize the profi t gained from visiting customers without...
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SubjectTerms Algorithms
Benchmarking
Benchmarks
Computer Science
Cost engineering
Customers
Errors
Interval graph
Knapsack problem
Mathematical models
Operations Research
Optimal split
Optimization
Optimization algorithms
Orienteering
Route optimization
Studies
Swarm intelligence
Transportation problem (Operations research)
Vehicle routing
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