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Mathematical Problems in Engineering
Volume 2014, Article ID 367152, 11 pages
http://dx.doi.org/10.1155/2014/367152
Research Article

Diversity Controlling Genetic Algorithm for Order Acceptance and Scheduling Problem

College of Information System and Management, National University of Defense Technology, Changsha 410073, China

Received 2 November 2013; Accepted 9 January 2014; Published 23 February 2014

Academic Editor: Wei-Chiang Hong

Copyright © 2014 Cheng Chen et al. 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

Selection and scheduling are an important topic in production systems. To tackle the order acceptance and scheduling problem on a single machine with release dates, tardiness penalty, and sequence-dependent setup times, in this paper a diversity controlling genetic algorithm (DCGA) is proposed, in which a diversified population is maintained during the whole search process through survival selection considering both the fitness and the diversity of individuals. To measure the similarity between individuals, a modified Hamming distance without considering the unaccepted orders in the chromosome is adopted. The proposed DCGA was validated on 1500 benchmark instances with up to 100 orders. Compared with the state-of-the-art algorithms, the experimental results show that DCGA improves the solution quality obtained significantly, in terms of the deviation from upper bound.