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Graph theory and computer aided facilities design


  • Carrie, Allan S
  • Moore, James M
  • Roczniak, Marek
  • Seppänen, Jouko J


Four variations of an algorithm based upon graph theory are developed for solving the facilities design problem. The facilities design problem involves locating economic activities, each of which requires a given amount of space, on a floor within a building in such a manner to optimize an appropriate measure of effectiveness such as, for example, the total cost of materials handling. This problem has been called the location-allocation problem in some of the earlier management science literature. The algorithm uses strings to represent the graphs in order to be able to handle the computing more effectively. The algorithm is illustrated throughout the article by an example. Experience with both FORTRAN and PL/1 is reported. The topic is likely to be of interest to facilities designers, graph theoreticians and computer scientists.

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  • Carrie, Allan S & Moore, James M & Roczniak, Marek & Seppänen, Jouko J, 1978. "Graph theory and computer aided facilities design," Omega, Elsevier, vol. 6(4), pages 353-361.
  • Handle: RePEc:eee:jomega:v:6:y:1978:i:4:p:353-361

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    References listed on IDEAS

    1. Richard Ehrhardt, 1979. "The Power Approximation for Computing (s, S) Inventory Policies," Management Science, INFORMS, vol. 25(8), pages 777-786, August.
    2. Richard Ehrhardt & Charles Mosier, 1984. "A Revision of the Power Approximation for Computing (s, S) Policies," Management Science, INFORMS, vol. 30(5), pages 618-622, May.
    3. Arthur F. Veinott, Jr. & Harvey M. Wagner, 1965. "Computing Optimal (s, S) Inventory Policies," Management Science, INFORMS, vol. 11(5), pages 525-552, March.
    4. Eliezer Naddor, 1975. "Optimal and Heuristic Decisions in Single-and Multi-Item Inventory Systems," Management Science, INFORMS, vol. 21(11), pages 1234-1249, July.
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