Abstract
In this paper, we develop a tabu search procedure for solving the uniform graph partitioning problem. Tabu search, an abstract heuristic search method, has been shown to have promise in solving several NP-hard problems, such as job shop and flow shop scheduling, vehicle routing, quadratic assignment, and maximum satisfiability. We compare tabu search to other heuristic procedures for graph partitioning, and demonstrate that tabu search is superior to other solution approaches for the uniform graph partitioning problem both with respect to solution quality and computational requirements.
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References
J.W. Barnes and M. Laguna, Solving the multiple-machine weighted flow time problem using tabu search, IIE Trans. 25(1993)121–127.
J. Chakrapani and J. Skorin-Kapov, Massively parallel tabu search for the quadratic assignment problem, Ann. Oper. Res. 41(1993)327–341.
W. Dai and E. Kuh, Simultaneous floor planning and global routing for hierarchical building block layout, IEEE Trans. Comp. Aided Design ICs Syst. (1987).
D. de Werra and A. Hertz, Tabu search techniques: A tutorial and an application to neural networks, OR Spektrum 11(1989)131–141.
T.A. Feo and M. Khellaf, A class of bounded approximation algorithms for graph partitioning, Networks 20(1990)181–195.
C.M. Fiduccia and R.M. Mettheyses, A linear time heuristic for improving network partitions,Proc. 19th Design Automation Conf., ACM/IEEE (1982) pp. 175–181.
C. Friden, A. Hertz and D. de Werra, Stabulus: A technique for finding stable sets in large graphs with tabu search, Computing 42(1989)35–44.
M.R. Garey, D.S. Johnson and L. Stockmeyer, Some simplified NP-complete graph probems, Theor. Comput. Sci. 1(1976)237–267.
M. Gendreau, A. Hertz and G. Laporte, A tabu search heuristic for the vehicle routing problem, Manag. Sci., to appear.
F. Glover and H.J. Greenberg, New approaches for heuristic search: A bilateral linkage with artificial intelligence, Euro. J. Oper. Res. 39(1989)119–130.
F. Glover, Tabu search — Part II, ORSA J. Comp. 2 (1990).
F. Glover and M. Laguna, Tabu search, in:Modern Heuristic Techniques for Combinatorial Problems, ed. C. Reeves (Blackwell, 1993).
F. Glover, E. Taillard and D. de Werra, A user's guide to tabu search, Ann. Oper. Res. 41(1993)3–28.
F. Glover, C. McMillan and B. Novick, Interactive decision software and computer graphics for architectural and space planning, Ann. Oper. Res. 5(1985)557–573.
A. Hertz and D. de Werra, Using tabu search techniques for graph coloring, Computing 29(1987)345–351.
D.S. Johnson, C.R. Aragon, L.A. McGeoch and C. Schevon, Optimization by simulated annealing: An experimental evaluation. Part I: Graph partitioning, Oper. Res. 37 (1989).
B.W. Kernighan and S. Lin, An efficient heuristic procedure for partitioning graphs, Bell Syst. Tech. J. 49(1970).
S. Kirkpatrick, C.D. Gelatt and M.P. Vecchi, Optimization by simulated annealing. Science 220(1983)671–680.
J.G. Klincewicz, Avoiding local optima in thep-hub location problem using tabu search and grasp, Ann. Oper. Res. 40(1992)121–132.
M. Laguna, J.W. Barnes and F. Glover, Tabu search methods for a single machine scheduling systems, J. Int. Manufact. 2(1991)63–74.
M. Laguna and F. Glover, Integrating target analysis and tabu search for improved scheduling systems, Expert Syst. Appl. 6(1993)287–297.
E. Nowicki and C. Smutnicki, A fast tabu search algorithm for the job shop problem, Technical Report, Technical University of Wroclaw, Poland (1993).
I.H. Osman, Metastrategy simulated annealing and tabu search algorithms for the vehicle routing problem, Ann. Oper. Res. 41(1993)421–451.
E. Rolland, Abstract heuristic search methods for graph partitioning, Ph.D. Dissertation, The Ohio State University, Colombus, OH (1991).
D. Skorin-Kapov and J. Skorin-Kapov, On tabu search for the location of interacting hub facilities, Harriman School for Management and Policy, SUNY at Stony Brook (1992).
J. Skorin-Kapov, Tabu search applied to the quadratic assignment problem, ORSA J. Comp. 2 (1990).
E. Taillard, Robust tabu search for the quadratic assignment problem, Parallel Comp. 17(1991)443–455.
S. Voss, An enhanced tabu search method for the quadratic assignment problem, Technical Report, Technische Hochschule Darmstadt (1993), to appear in Discr. Appl. Math.
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Rolland, E., Pirkul, H. & Glover, F. Tabu search for graph partitioning. Ann Oper Res 63, 209–232 (1996). https://doi.org/10.1007/BF02125455
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DOI: https://doi.org/10.1007/BF02125455