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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 648082, 18 pages
http://dx.doi.org/10.1155/2013/648082
Research Article

A Two-Agent Single-Machine Scheduling Problem with Learning and Deteriorating Considerations

Department of Healthcare Management, Yuanpei University, No. 306 Yuanpei St., Hsin Chu 30015, Taiwan

Received 26 May 2013; Accepted 1 July 2013

Academic Editor: Chin-Chia Wu

Copyright © 2013 Wen-Hsiang Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Recently, interest in scheduling with deteriorating jobs and learning effects has kept growing. However, research in this area has seldom considered the multiagent setting. Motivated by these observations, we consider two-agent scheduling on a single machine involving the learning effects and deteriorating jobs simultaneously. In the proposed model, we assume that the actual processing time of a job of the first (second) agent is a decreasing (increasing) function of the total processing time of the jobs already processed in a schedule. The objective is to minimize the total weighted completion time of the jobs of the first agent with the restriction that no tardy job is allowed for the second agent. We develop a branch-and-bound and a simulated annealing algorithms for the problem. We perform extensive computational experiments to test the performance of the algorithms.