The Parallel Machine Scheduling with Considering the Due Date Assignment, Earliness, Weighted Number of Tardy Jobs and Batch Delivery

Abstract

In this paper, parallel machine scheduling problem is considered under due date assignment, earliness, weighted number of tardy jobs, facilities costs and shipping products by limited vehicle capacity. The orders of the customer are presented with a due date. Each order is scheduled and assigned to one of the machines according to due date, delay weight and penalty of increasing of due date and shipped in the batch. The problem is known as NP-hardness, therefore a Genetic Algorithm (GA) is proposed to solve the problem. The results are also compared with the CPLEX solver in the GAMS. Finally, sensitivity analysis for the problem parameters is performed in relation to the objective function. The results showed a direct relationship between objective function with the weighted tardiness and processing time, also an inverse relationship with the number of machines and vehicle capacity.