Academia.eduAcademia.edu

Outline

Least-cost network topology design for a new service

1991, Annals of Operations Research

Abstract

We describe an implementation of the tabu search metaheuristic that effectively finds a low-cost topology for a communications network to provide a cenlialized new service. Our results are compared to those of a greedy algorithm which ^jplies corresponding decision rules, but widioul the guidance of the tabu search framework. These problems are difficult computationally, representing integer programs thai can involve as many as 10,000 integer variables and 2000 constraints in practical applications. The tabu search results approach succeeded in obtaining significant improvements over the greedy approach, yielding optimal solutions to problems small enough to allow independent verification of optimality status and, more generally, yielding both absolute and percentage cost improvements that did not deteriorate with increasing problem size.

References (9)

  1. C. Anderson and C. Rasmussen, A genetic algorithm for the new service network topology problem, in: Heuristics for Combinatorial Optimization, Section 7 (1989), pp. 1-23.
  2. F. Glover, Tabu search. Part 1. ORSA J. Camp. 1(1989)190-206.
  3. F. Glover, Candidate lists and tabu search. Preprint, CAAI, University of Colorado (1989).
  4. A. Hertz and D. de Wena, The tabu search metaheuristic: How we used it, Ann. Math. AI 1(1990)111-121.
  5. M. Lee, Least cost network topology design for a new service using the tabu search, in: Heuristics for Combinaxoriai Optimization, Section 6 (1989), pp. 1-18.
  6. M. Malek, M. Guniswamy. H. Owens and M. Pandya, Serial and parallel search techniques for the traveling salesman problem, Ann. Oper. Res. 21(1989)59-84.
  7. S.H. Parrish, T. Cox, W. Keuhner and Y. Qui. Planning for least cost expansion of communications network topology, US West Advanced Technologies Science and Technology Technical Report.
  8. J. Ryan (ed.). Final report of mathematics clinic, in: Heuristics for Combinatorial Optimization (1989).
  9. 9| J. Skorin-Kapov, Tabu search applied to the quadratic assignment problem. Research Report HAR- 89-001, W.A. Harriman School for Management and Policy, SUNY at Stony Brook, NY (1989), to appear in ORSA J. Comp.