Scheduling with Learning Effects and/or Time-Dependent Processing Times to Minimize the Weighted Number of Tardy Jobs on a Single Machine

Author:

Qian Jianbo1,Steiner George1

Affiliation:

1. Operations Management Area, DeGroote School of Business, McMaster University, Hamilton, ON, Canada L8S 4L8

Abstract

We consider single machine scheduling problems with learning/deterioration effects and time-dependent processing times, with due date assignment consideration, and our objective is to minimize the weighted number of tardy jobs. By reducing all versions of the problem to an assignment problem, we solve them inO(n4) time. For some important special cases, the time complexity can be improved to beO(n2) using dynamic programming techniques.

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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