A coevolutionary algorithm for the flexible delivery and pickup problem with time windows
This paper addresses a flexible delivery and pickup problem with time windows (FDPPTW) and formulates the problem into a mixed binary integer programming model in order to minimize the number of vehicles and to minimize the total traveling distance. This problem is shown to be NP-hard. In this study...
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| Published in: | International journal of production economics Vol. 141; no. 1; pp. 4 - 13 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Amsterdam
Elsevier B.V
01.01.2013
Elsevier Sequoia S.A |
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| ISSN: | 0925-5273, 1873-7579 |
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| Abstract | This paper addresses a flexible delivery and pickup problem with time windows (FDPPTW) and formulates the problem into a mixed binary integer programming model in order to minimize the number of vehicles and to minimize the total traveling distance. This problem is shown to be NP-hard. In this study, therefore, a coevolutionary algorithm incorporated with a variant of the cheapest insertion method is developed to speed up the solution procedure. The FDPPTW scheme overcomes the shortcomings of the existing schemes for the delivery and pickup problems. By testing with some revised Solomon's benchmark problems, the computational results have shown the efficiency and the effectiveness of the developed algorithm.
► Both logistic services of delivery and pickup can be performed according to the customers' needs. ► Used products are recycled by the reverse logistic. ► Customers can request the services within certain time windows. ► A heuristic genetic algorithm is developed based on co-populations. ► Evaluation of efficiency and accuracy are conducted in comparative manner. |
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| AbstractList | This paper addresses a flexible delivery and pickup problem with time windows (FDPPTW) and formulates the problem into a mixed binary integer programming model in order to minimize the number of vehicles and to minimize the total traveling distance. This problem is shown to be NP-hard. In this study, therefore, a coevolutionary algorithm incorporated with a variant of the cheapest insertion method is developed to speed up the solution procedure. The FDPPTW scheme overcomes the shortcomings of the existing schemes for the delivery and pickup problems. By testing with some revised Solomon's benchmark problems, the computational results have shown the efficiency and the effectiveness of the developed algorithm. [PUBLICATION ABSTRACT] This paper addresses a flexible delivery and pickup problem with time windows (FDPPTW) and formulates the problem into a mixed binary integer programming model in order to minimize the number of vehicles and to minimize the total traveling distance. This problem is shown to be NP-hard. In this study, therefore, a coevolutionary algorithm incorporated with a variant of the cheapest insertion method is developed to speed up the solution procedure. The FDPPTW scheme overcomes the shortcomings of the existing schemes for the delivery and pickup problems. By testing with some revised Solomon's benchmark problems, the computational results have shown the efficiency and the effectiveness of the developed algorithm. This paper addresses a flexible delivery and pickup problem with time windows (FDPPTW) and formulates the problem into a mixed binary integer programming model in order to minimize the number of vehicles and to minimize the total traveling distance. This problem is shown to be NP-hard. In this study, therefore, a coevolutionary algorithm incorporated with a variant of the cheapest insertion method is developed to speed up the solution procedure. The FDPPTW scheme overcomes the shortcomings of the existing schemes for the delivery and pickup problems. By testing with some revised Solomon's benchmark problems, the computational results have shown the efficiency and the effectiveness of the developed algorithm. ► Both logistic services of delivery and pickup can be performed according to the customers' needs. ► Used products are recycled by the reverse logistic. ► Customers can request the services within certain time windows. ► A heuristic genetic algorithm is developed based on co-populations. ► Evaluation of efficiency and accuracy are conducted in comparative manner. |
| Author | Chen, Ying-Yen Wang, Hsiao-Fan |
| Author_xml | – sequence: 1 givenname: Hsiao-Fan surname: Wang fullname: Wang, Hsiao-Fan email: hfwang@ie.nthu.edu.tw, hfwang82@hotmail.com – sequence: 2 givenname: Ying-Yen surname: Chen fullname: Chen, Ying-Yen |
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| Cites_doi | 10.1016/j.eswa.2005.12.014 10.1007/s11301-008-0036-4 10.1016/S0305-0483(02)00056-7 10.1287/opre.35.2.254 10.1007/s11750-007-0009-0 10.1007/PL00013346 10.1287/trsc.1050.0118 10.1016/j.cie.2011.08.018 10.1007/BF02023004 10.1016/j.cor.2005.03.014 10.1016/j.cor.2009.06.001 10.1016/j.cor.2004.07.009 10.1016/j.cor.2008.04.003 10.1016/j.jenvman.2009.09.037 10.1016/j.tre.2003.12.003 10.1287/ijoc.7.1.10 10.1016/j.omega.2006.11.001 10.1057/palgrave.jors.2601935 10.1287/opre.12.4.568 10.1016/0191-2607(89)90085-X 10.1016/j.ejor.2004.09.004 10.1057/palgrave.jors.2602028 10.1016/j.ejor.2002.11.003 |
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| Keywords | Coevolutionary algorithm Delivery and pickup Bi-directional logistics Vehicle routing problem with backhaul |
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| SubjectTerms | Algorithms Benchmarking Bi-directional logistics Coevolutionary algorithm Deliveries Delivery and pickup Economics Effectiveness studies Genetic algorithms Insertion Integer programming Mathematical models Route optimization Vehicle routing problem with backhaul Vehicles Windows (intervals) |
| Title | A coevolutionary algorithm for the flexible delivery and pickup problem with time windows |
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