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A bi-objective mathematical model for two-dimensional loading time-dependent vehicle routing problem

Mahdi Alinaghian (), Komail Zamanlou and Mohammad S. Sabbagh
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Mahdi Alinaghian: Isfahan University of Technology
Komail Zamanlou: Isfahan University of Technology
Mohammad S. Sabbagh: Isfahan University of Technology

Journal of the Operational Research Society, 2017, vol. 68, issue 11, 1422-1441

Abstract: Abstract This paper introduces two-dimensional loading time-dependent vehicle routing problem and proposes a bi-objective mathematical model. This problem assesses the process of distributing the rectangular-shaped demanded items over an urban environment; it does not, however, allow items to be loaded on top of each other. In addition to the above assumptions, the presented model also satisfies the first-in-first-out property in the time-dependent vehicle routing problem. Given the NP-hard nature of the problem, a method called elitist non-dominated sorting local search is developed to obtain its solutions. To evaluate the performance of the proposed algorithm, the solutions of this algorithm for small-scale problem instances are compared with the results of an exact method. For the medium-scale problem instances, results of NSGA-II and SPEA2 are used as the basis of comparison. The computational results demonstrate the good performance of the proposed method.

Keywords: two-dimensional loading time-dependent vehicle routing problem; elitist non-dominated sorting local search; NSGA-II; FIFO property (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1057/s41274-016-0151-x

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