Greedy and Local Search Heuristics for Unconstrained Binary Quadratic Programming (2000)
| Citations: | 21 - 3 self |
BibTeX
@MISC{Merz00greedyand,
author = {Peter Merz and Bernd Freisleben},
title = {Greedy and Local Search Heuristics for Unconstrained Binary Quadratic Programming},
year = {2000}
}
Years of Citing Articles
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
In this paper, a greedy heuristic and two local search algorithms, 1-opt local search and k-opt local search, are proposed for the unconstrained binary quadratic programming problem (BQP). These heuristics are well suited for the incorporation into meta-heuristics such as evolutionary algorithms. Their performance is compared for 115 problem instances. All methods are capable of producing high quality solutions in short time. In particular, the greedy heuristic is able to find near optimum solutions a few percent below the bestknown solutions, and the local search procedures are sufficient to find the best-known solutions of all problem instances with n 100. The k-opt local searches even find the best-known solutions for all problems of size n 250 and for 11 out of 15 instances of size n = 500 in all runs. For larger problems (n = 500; 1000; 2500), the heuristics appear to be capable of finding near optimum solutions quickly. Therefore, the proposed heuristics - especially t...
