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DISCON: A New Method for the Layout Problem

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  • Zvi Drezner

    (University of Michigan-Dearborn, Dearborn, Michigan)

Abstract

Layout problems often involve a given number of facilities which must be located in the plane. Each of these facilities has a given area, and the cost of interactions between every facility pair is known. Problem optimality is achieved when facilities do not overlap and the total cost, which is the sum of weighted distances between all pairs of facilities, is minimized. The problem is formulated and solved as a nonconvex mathematical programming problem using a procedure termed DISpersion-CONcentration.

Suggested Citation

  • Zvi Drezner, 1980. "DISCON: A New Method for the Layout Problem," Operations Research, INFORMS, vol. 28(6), pages 1375-1384, December.
    • Handle: RePEc:inm:oropre:v:28:y:1980:i:6:p:1375-1384
    DOI: 10.1287/opre.28.6.1375
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    Cited by:

    1. Paul D. Dowling & R. F. Love, 1990. "Floor layouts using a multifacility location model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(6), pages 945-952, December.
    2. Jerzy Grobelny & Rafał Michalski, 2020. "Effects of scatter plot initial solutions on regular grid facility layout algorithms in typical production models," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(2), pages 601-632, June.
    3. Miguel F. Anjos & Anthony Vannelli, 2006. "A New Mathematical-Programming Framework for Facility-Layout Design," INFORMS Journal on Computing, INFORMS, vol. 18(1), pages 111-118, February.
    4. Jankovits, Ibolya & Luo, Chaomin & Anjos, Miguel F. & Vannelli, Anthony, 2011. "A convex optimisation framework for the unequal-areas facility layout problem," European Journal of Operational Research, Elsevier, vol. 214(2), pages 199-215, October.
    5. Ronald E. Giachetti & Jean Carlo Sanchez, 2009. "A model to design recreational boat mooring fields," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(2), pages 158-174, March.
    6. Hossein Safizadeh, M. & McKenna, David R., 1996. "Application of multidimensional scaling techniques to facilities layout," European Journal of Operational Research, Elsevier, vol. 92(1), pages 54-62, July.
    7. Ignacio Castillo & Thaddeus Sim, 2004. "A spring-embedding approach for the facility layout problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(1), pages 73-81, January.
    8. Castillo, Ignacio & Kampas, Frank J. & Pintér, János D., 2008. "Solving circle packing problems by global optimization: Numerical results and industrial applications," European Journal of Operational Research, Elsevier, vol. 191(3), pages 786-802, December.
    9. Zhongwei Zhang & Lihui Wu & Zhaoyun Wu & Wenqiang Zhang & Shun Jia & Tao Peng, 2022. "Energy-Saving Oriented Manufacturing Workshop Facility Layout: A Solution Approach Using Multi-Objective Particle Swarm Optimization," Sustainability, MDPI, vol. 14(5), pages 1-28, February.
    10. Sarker, Bhaba R. & Wilhelm, Wilbert E. & Hogg, Gary L. & Han, Min-Hong, 1995. "Backtracking of jobs in one-dimensional machine location problems," European Journal of Operational Research, Elsevier, vol. 85(3), pages 593-609, September.
    11. Kim, J. -Y. & Kim, Y. -D., 1995. "Graph theoretic heuristics for unequal-sized facility layout problems," Omega, Elsevier, vol. 23(4), pages 391-401, August.

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