Skip to main content
Log in

A tabu search approach to the cell formation problem

  • Original Article
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

The cell formation problem determines the decomposition of the manufacturing cells of a production system in which machines are assigned to these cells to process one or more part families so that each cell is operated independently and the intercellular flows are minimised or the number of parts flow processed within cells is maximised. In this paper, a tabu search heuristic—TSCF—that consists of dynamic tabu tenure with a long-term memory mechanism is presented to solve the cell formation problem. Test problems adopted from the literature and generated randomly are used to evaluate the performance of the proposed algorithm. In addition, two methods for quickly generating the initial solutions are proposed, namely the group-and-assign (GAA) method, and the random approach. Computational results indicate that the GAA method, accompanied by the TSCF algorithm can produce optimal solutions in less than or equal to 0.005 s for all small- and medium-sized problems. The proposed algorithm should thus be useful to both practitioners and researchers.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1

Similar content being viewed by others

References

  1. Garey MR, Johnson DS (1979) Computers and Intractability. Freeman, San Francisco

  2. Chen CH (1992) Algorithms for grouping machines groups in group technology. Omega 20:493–501

    Article  Google Scholar 

  3. Chu CH (1989) Cluster analysis in manufacturing cellular formation. Omega 17:289–295

    Article  Google Scholar 

  4. Moon C, Kim J (1999) Genetic algorithm for maximizing the parts flow within cells in manufacturing cell design. Comput Ind Eng 36:379–389

    Article  Google Scholar 

  5. Harlalakis J, Nagi R, Proth JM (1990) An efficient heuristic in manufacturing cell formation for group technology applications. Int J Prod Res 28:185–198

    Google Scholar 

  6. Rajagopalan R, Batra J (1975) Design of cellular production systems-a graph theoretical approach. Int J Prod Res 13:256–268

    Google Scholar 

  7. Vohra T, Chen D, Chang J, Chen H (1990) A network approach to cell formation in cellular manufacturing. Int J Prod Res 28:2075–2084

    Google Scholar 

  8. Wu N, Salvendy G (1993) Modified network approach for the design of cellular manufacturing systems. Int J Prod Res 31:1409–1421

    Google Scholar 

  9. Sun D, Lin L, Batta R (1995) Cell formation using tabu search. Comput Ind Eng 28:485–494

    Google Scholar 

  10. Aljaber N, Baek W, Chen C-L (1997) A tabu search approach to the cell formation problem. Comput Ind Eng 32:169–185

    Article  Google Scholar 

  11. Wu TH (1997) A note on a global approach for general 0–1 fractional programming. Eur J Oper Res 101:220-223

    Article  Google Scholar 

  12. Glover F (1989) Tabu search—Part I. ORSA J Comput 1:190–206

    Google Scholar 

  13. Glover F (1990) Tabu search—Part II. ORSA J Comput 2:4–32

    Google Scholar 

  14. Glover F, Laguna M (1997) Tabu search. Kluwer Academic Publishers, Boston

  15. Battiti R, Tecchiolli G (1994) The reactive tabu search. ORSA J Comput 6:126–140

    Google Scholar 

  16. Rolland E, Schilling DA, Current JR (1996) An efficient tabu search procedure for the p-median problem. Eur J Oper Res 96:329–342

    Article  Google Scholar 

  17. Sun M, Aronson JE, McKeown PG, Drinka D (1998) A tabu search heuristic procedure for the fixed charge transportation problem. Eur J Oper Res 106:441–456

    Article  Google Scholar 

  18. Wu T-H, Low C, Wu W-T (2003) A tabu search approach to generalized assignment problem. Technical report, department of industrial engineering, Da-Yeh University, Taiwan

Download references

Acknowledgements

This work was partially supported by the National Science Council of Taiwan, under grants NSC 90-2218-E-212–012 and NSC 91-2213-E-212–018. This support is gratefully acknowledged.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T.-H. Wu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wu, TH., Low, C. & Wu, WT. A tabu search approach to the cell formation problem. Int J Adv Manuf Technol 23, 916–924 (2004). https://doi.org/10.1007/s00170-003-1766-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-003-1766-z

Keywords

Navigation