Novel properties along with solution methods for permutation flowshop scheduling

Authors

1 Department of Industrial Engineering, Amirkabir University of Technology, Tehran, Iran

2 Department of Industrial Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran

Abstract

This paper deals with permutation flowshop scheduling to minimize makespan. Some novel useful definitions and properties are established. Then, the paper proposes novel solution methods. Particular attention is paid to algorithms based on the orderings of pairs of jobs. The first algorithm is for three-machine problems and gives optimal solution in a certain strict sense in the case of the ordering of two jobs. Moreover, the paper extends the three-machine Johnson’s rule to the general case of m-machine problems.

Keywords


Volume 23, Issue 5 - Serial Number 5
Transactions on Industrial Engineering (E)
October 2016
Pages 2261-2276
  • Receive Date: 26 September 2015
  • Revise Date: 21 December 2024
  • Accept Date: 27 July 2017