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Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 573731, 12 pages
http://dx.doi.org/10.1155/2014/573731
Research Article

A Novel Discrete Global-Best Harmony Search Algorithm for Solving 0-1 Knapsack Problems

School of Traffic & Transportation, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, China

Received 26 January 2014; Revised 19 March 2014; Accepted 25 March 2014; Published 24 April 2014

Academic Editor: Zbigniew Leśniak

Copyright © 2014 Wan-li Xiang 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

In order to better solve discrete 0-1 knapsack problems, a novel global-best harmony search algorithm with binary coding, called DGHS, is proposed. First, an initialization based on a greedy mechanism is employed to improve the initial solution quality in DGHS. Next, we present a novel improvisation process based on intuitive cognition of improvising a new harmony, in which the best harmony of harmony memory (HM) is used to guide the searching direction of evolution during the process of memory consideration, or else a harmony is randomly chosen from HM and then a discrete genetic mutation is done with some probability during the phase of pitch adjustment. Third, a two-phase repair operator is employed to repair an infeasible harmony vector and to further improve a feasible solution. Last, a new selection scheme is applied to decide whether or not a new randomly generated harmony is included into the HM. The proposed DGHS is evaluated on twenty knapsack problems with different scales and compared with other three metaheuristics from the literature. The experimental results indicate that DGHS is efficient, effective, and robust for solving difficult 0-1 knapsack problems.