Petri Net and GA Based Method for JSP Optimization with Dual-Objective
A new dual-objective scheduling method based on the controlled Petri net and GA is proposed to the job-shop scheduling problem (JSP) constrained by machines, workers. Firstly, a detailed analysis of supervisory control for Petri net with uncontrollable transitions, especially important, for OR-logics linear constraint, a new method for constructing a Petri net feedback controller based on monitor and inhibitor arcs is presented. The Petri net model is constructed based on above method in flexible JSP. Then, the genetic algorithm (GA) is applied based on the controlled Petri net model and Pareto. Function objectives of the proposed method are to minimize the completion time and the total expense of machines and workers. Finally, Scheduling example is employed to illustrate the effectiveness of the method.
Dongye Sun, Wen-Pei Sung and Ran Chen
L. X. Qi and Z. Tao, "Petri Net and GA Based Method for JSP Optimization with Dual-Objective", Applied Mechanics and Materials, Vols. 121-126, pp. 4547-4551, 2012