Vehicle routing problem for minimizing consumption of energy in three dimensional space

Authors

  • Hajar Ghahremani-Gol Amirkabir University of Technology,
  • Farzad Didehvar Assistant Professor, Farzad Didehvar didehvar@aut.ac.ir Department of Mathematics and Computer Science, Amirkabir University of Technology,
  • Asadollah Razavi Professor, Amirkabir University of Technology

Keywords:

Consumed energy in three dimensional space, metaheuristics, transportation, vehicle routing problem.

Abstract

The vehicle routing problem VRP is usually studied in two dimensional Euclideanspaces. In this paper a variant of VRP was proposed, when the points are lying in thethree dimensional space, as it is often the case in the real problem. The cost matrix ofthe consumed energy was not symmetric. The minimum cost of total consumed energywas determined by identical vehicles. A new method was presented to compute thedistance between every two points and the consumed energy.

Author Biographies

Hajar Ghahremani-Gol, Amirkabir University of Technology,

Department of Mathematics and Computer Science,Amirkabir University of Technology,No. 424, Hafez Avenue, Tehran 15914, Iran
Fax: (98)-21-66497930           
Tel: (98)-21-64542518

Farzad Didehvar, Assistant Professor, Farzad Didehvar didehvar@aut.ac.ir Department of Mathematics and Computer Science, Amirkabir University of Technology,

Department of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran 15914, Iran
Fax: (98)-21-66497930           
Tel: (98)-21-64542518
http://didehvar.info/

Asadollah Razavi, Professor, Amirkabir University of Technology

Department of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran 15914, Iran
Fax: (98)-21-66497930           
Tel: (98)-21-64542518

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Published

09-05-2016