Integrating tabu search and VLSN search to develop enhanced algorithms: A case study using bipartite boolean quadratic programs

被引:25
作者
Glover, Fred [1 ]
Ye, Tao [2 ]
Punnen, Abraham P. [2 ]
Kochenberger, Gary [3 ]
机构
[1] OptTek Syst, Boulder, CO USA
[2] Simon Fraser Univ, Dept Math, Surrey, BC V3T 0A3, Canada
[3] Univ Colorado, Sch Business, Denver, CO 80202 USA
基金
加拿大自然科学与工程研究理事会;
关键词
Quadratic programming; Boolean variables; Metaheuristics; Tabu search; Worst-case analysis; EDGE BICLIQUE; INAPPROXIMABILITY; CUT;
D O I
10.1016/j.ejor.2014.09.036
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
The bipartite boolean quadratic programming problem (BBQP) is a generalization of the well studied boolean quadratic programming problem. The model has a variety of real life applications; however, empirical studies of the model are not available in the literature, except in a few isolated instances. In this paper, we develop efficient heuristic algorithms based on tabu search, very large scale neighborhood (VLSN) search, and a hybrid algorithm that integrates the two. The computational study establishes that effective integration of simple tabu search with VLSN search results in superior outcomes, and suggests the value of such an integration in other settings. Complexity analysis and implementation details are provided along with conclusions drawn from experimental analysis. In addition, we obtain solutions better than the best previously known for almost all medium and large size benchmark instances. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:697 / 707
页数:11
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