Skip to main content

A Tabu Search Heuristic for the Uncapacitated Facility Location Problem

  • Chapter
Metaheuristic Optimization via Memory and Evolution

Part of the book series: Operations Research/Computer Science Interfaces Series ((ORCS,volume 30))

Abstract

A tabu search heuristic procedure is developed to solve the uncapacitated facility location problem. The heuristic procedure uses tabu search to guide the solution process when evolving from one solution to another in order to search for an optimal solution. A move is defined to be the closing or opening of a facility. The net change in the total cost resulting from a move is used to measure the attractiveness of a move. Searching only a small subset of the feasible solutions that contains the optimal solution, the procedure is computationally very efficient. A computational experiment is conducted to test the performance of the procedure and computational results are reported. The procedure can easily find optimal solutions for test problems with known optimal solutions from the literature. Solutions obtained with this tabu search procedure completely dominate those obtained with the Lagrangian method for randomly generated test problems.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Beasley, J.E. (1990) “OR-Library: Distributing Test Problems by Electronic Mail,” Journal of the Operational Research Society, 41(11):1069–1072.

    Google Scholar 

  • Beasley, J.E. (1993) “Lagrangean Heuristics for Location Problems,” European Journal of Operational Research, 65:383–399.

    Article  MATH  Google Scholar 

  • Brandeau, M.L. and S.L. Chiu (1989) “Overview of Representative Problems in Location Research,” Management Science, 35(6):695–674.

    MathSciNet  Google Scholar 

  • Chan, Y. (2001) Location Theory and Decision Analysis, South-Western College Publishing, Cincinnati, Ohio.

    Google Scholar 

  • Chhajed, D., R.L. Francis and T.J. Lowe (1993) “Contributions of Operations Research to Location Analysis,” Location Science, 1:263–287.

    MATH  Google Scholar 

  • Cornuéjols, G., M.L. Fisher and L.A. Wolsey (1977) “Location of Bank Accounts to Optimize Float: An Analytic Study of Exact and Approximate Algorithms,” Management Science, 23:789–810.

    MATH  Google Scholar 

  • Cornuéjols, G., G.L. Nemhauser and L.A. Wolsey (1990) “The Uncapacitated Facility Location Problem,” in P.B. Mirchandani and R. L. Francis (eds), Discrete Location Theory, Wiley, New York, 119–171.

    Google Scholar 

  • Daskin, M.S. (1995) Network and Discrete Location, Models, Algorithms, and Applications, Wiley, New York.

    MATH  Google Scholar 

  • Delmaire, H., J.A. Díaz, E. Fernández and M. Ortega (1998) “Reactive GRASP and Tabu Search Based Heuristics for the Single Source Capacitated Plant Location Problem,” Information Systems and Operations Research, 37(3):194–225.

    Google Scholar 

  • Erlenkotter, D. (1978) “A Dual-Based Procedure for Uncapacitated Facility Location,” Operations Research, 26:992–1009.

    MATH  MathSciNet  Google Scholar 

  • Gen, M., Y. Tsujimura and S. Ishizaki (1996) “Optimal Design of a Star-LAN Using Neural Networks,” Computers and Industrial Engineering, 31(3/4):855–859.

    Article  Google Scholar 

  • Ghosh, A. and F. Harche (1993) “Location-Allocation Models in the Private Sector: Progress, Problems, and Prospects,” Location Science, 1:81–106.

    MATH  Google Scholar 

  • Glover, F. (1989) “Tabu Search, Part I,” ORSA Journal on Computing, 1(3):190–206.

    MATH  Google Scholar 

  • Glover, F. (1990a) “Tabu Search, Part II,” ORSA Journal on Computing, 2(1): 4–32.

    MATH  Google Scholar 

  • Glover, F. (1990b) “Tabu Search: A Tutorial,” Interfaces, 20(4):74–94.

    Google Scholar 

  • Glover, F. and M. Laguna (1997) Tabu Search, Kluwer Academic Publishers, Hingham, MA.

    MATH  Google Scholar 

  • Glover, F., E. Taillard and D. de Werra (1993) “A User's Guide to Tabu Search,” Annals of Operational Research, 41(1–4):3–28.

    MATH  Google Scholar 

  • Grolimund, S. and J.G. Ganascia (1997) “Driving Tabu Search with Case-Based Reasoning,” European Journal of Operational Research, 103(2):326–338.

    Article  MATH  Google Scholar 

  • Krarup, J. and P.M. Pruzan (1983) “The Simple Plant Location Problem: Survey and Synthesis,” European Journal of Operational Research, 12(1):36–81.

    Article  MathSciNet  MATH  Google Scholar 

  • Krarup, J. and P.M. Pruzan (1990) “Ingredients of Location Analysis,” in Discrete Location Theory (P. B. Mirchandani and R. L. Francis, eds), Wiley, New York, 1–54.

    Google Scholar 

  • Kuehn, A.A. and M.J. Hamburger (1963) “A Heuristic Program for Locating Warehouses,” Management Science, 9:643–666.

    Article  Google Scholar 

  • Mirchandani, P.B. and R.L. Francis (1990) Discrete Location Theory, Wiley, New York.

    MATH  Google Scholar 

  • Nemhauser, G.L., L.A. Wolsey and L.M. Fisher (1978) “An Analysis of Approximations for Maximizing Submodular Set Functions, I,” Mathematical Programming, 14:265–294.

    Article  MathSciNet  MATH  Google Scholar 

  • Simchi-Levi, D., P. Kaminsky and E. Simchi-Levi (2000) Designing and Managing the Supply Chain, Concepts, Strategies and Case Studies, Irwin McGraw-Hill, Boston, Massachusetts.

    Google Scholar 

  • Sun, M. (1998) “A Tabu Search Heuristic Procedure for Solving the Transportation Problem with Exclusionary Side Constraints,” Journal of Heuristics, 3(4):305–326.

    Article  MATH  Google Scholar 

  • Sun, M., J.E. Aronson, P.G. McKeown and D. Drinka (1998) “A Tabu Search Heuristic Procedure for the Fixed Charge Transportation Problem,” European Journal of Operational Research, 106(2–3):441–456.

    Article  MATH  Google Scholar 

  • Sun, M. and P.G. McKeown (1993) “Tabu Search Applied to the General Fixed Charge Problem,” Annals of Operations Research, 41:405–420.

    Article  MATH  Google Scholar 

  • Tuzun, D. and L.I. Burke (1999) “A Two-Phase Tabu Search Approach to the Location Routing Problem,” European Journal of Operational Research, 116(1):87–99.

    Article  MATH  Google Scholar 

  • Vaithyanathan, S., L. Burke and M. Magent (1996) “Massively Parallel Analog Tabu Search Using Neural Networks Applied to Simple Plant Location Problems,” European Journal of Operational Research, 93:317–330.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Kluwer Academic Publishers

About this chapter

Cite this chapter

Sun, M. (2005). A Tabu Search Heuristic for the Uncapacitated Facility Location Problem. In: Sharda, R., Voß, S., Rego, C., Alidaee, B. (eds) Metaheuristic Optimization via Memory and Evolution. Operations Research/Computer Science Interfaces Series, vol 30. Springer, Boston, MA. https://doi.org/10.1007/0-387-23667-8_8

Download citation

Publish with us

Policies and ethics