Anot Chaimanee and Wisut Supithak

DOI: 10.14456/sjst-psu.2018.148

pp. 1203 - 1218

Abstract

The research considers the flow shop scheduling problem under the Just-In-Time (JIT) philosophy. There are n jobs
waiting to be processed through m operations of a flow shop production system. The objective is to determine the job schedule
such that the total cost consisting of setup, earliness, and tardiness costs, is minimized. To represent the problem, the Integer
Linear Programming (ILP) mathematical model is created. A Memetic Algorithm (MA) is developed to determine the proper
solution. The evolutionary procedure, worked as the global search, is applied to seek for the good job sequences. In order to
conduct the local search, an optimal timing algorithm is developed and inserted in the procedure to determine the best schedule of
each job sequence. From the numerical experiment of 360 problems, the proposed MA can provide optimal solutions for 355
problems. It is obvious that the MA can provide the good solution in a reasonable amount of time.