Title of article :
A NEW HEURISTIC ALGORITHM FOR MULTIPLE TRAVELING SALESMAN PROBLEM
Author/Authors :
NURIYEVA, F Dokuz Eylul University - Faculty of Science - Department of Computer Science - Izmir, Turkey , KIZILATES, G Ege University - Faculty of Science - Department of Mathematics - Izmir, Turkey
Abstract :
The Multiple Traveling Salesman Problem (mTSP) is a combinatorial optimization problem in NP-hard class. The mTSP aims to acquire the minimum cost for
traveling a given set of cities by assigning each of them to a different salesman in order
to create m number of tours. This paper presents a new heuristic algorithm based on
the shortest path algorithm to find a solution for the mTSP. The proposed method has
been programmed in C language and its performance analysis has been carried out on
the library instances. The computational results show the efficiency of this method.
Keywords :
multiple traveling salesman problem , heuristic algorithms , shortest path algorithm , insertion heuristic , graph theory
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics