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One-Dimensional Space Allocation: An Ordering Algorithm

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  • Donald M. Simmons

    (Massachusetts Institute of Technology, Cambridge, Massachusetts)

Abstract

The space-allocation problem arises when an architect tries to arrange rooms of fixed area but unspecified shape on a floor plan in such a way as to minimize a given linear combination of the distances between all pairs of rooms. In one dimension, this is the problem of ordering line segments along a simple axis or rooms along one side of a corridor. This paper devises an efficient branch-and-bound algorithm for finding the optimal ordering, and shows that the algorithm can solve one special type of facilities-to-locations assignment problem. Space allocation in two dimensions is also discussed briefly.

Suggested Citation

  • Donald M. Simmons, 1969. "One-Dimensional Space Allocation: An Ordering Algorithm," Operations Research, INFORMS, vol. 17(5), pages 812-826, October.
    • Handle: RePEc:inm:oropre:v:17:y:1969:i:5:p:812-826
    DOI: 10.1287/opre.17.5.812
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