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On Server Allocation in Multiple Center Manufacturing Systems

Author

Listed:
  • J. George Shanthikumar

    (University of California, Berkeley, California)

  • David D. Yao

    (Harvard University, Cambridge, Massachusetts)

Abstract

We study the problem of allocating a given number of identical servers among the work centers of a manufacturing system. The problem is formulated as a nonlinear integer program of allocating servers in a closed queueing network to maximize throughput. We show that the throughput of the closed queueing network has a monotonicity property, such that any optimal allocation must give more servers to stations with a higher workload. The number of allocations that satisfy this property is much smaller than the total number of feasible allocations. This property and a bounding technique for the throughput of the closed queueing network are combined to develop a search algorithm to obtain an optimal allocation of servers. A greedy heuristic is also developed, and its optimality proven in the special case of a two-center system (in the general case, its optimality remains a conjecture).

Suggested Citation

  • J. George Shanthikumar & David D. Yao, 1988. "On Server Allocation in Multiple Center Manufacturing Systems," Operations Research, INFORMS, vol. 36(2), pages 333-342, April.
    • Handle: RePEc:inm:oropre:v:36:y:1988:i:2:p:333-342
    DOI: 10.1287/opre.36.2.333
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    Citations

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    Cited by:

    1. Benjaafar, Saifallah, 1996. "Modeling and analysis of machine sharing in manufacturing systems," European Journal of Operational Research, Elsevier, vol. 91(1), pages 56-73, May.
    2. Frenk, J.B.G. & Labbé, M. & van Vliet, M. & Zhang, S., 1994. "Improved algorithms for machine allocation in manufacturing systems," Econometric Institute Research Papers 11742, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. Simin Huang & Rajan Batta & Rakesh Nagi, 2005. "Distribution network design: Selection and sizing of congested connections," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(8), pages 701-712, December.
    4. Michelle Opp & Kevin Glazebrook & Vidyadhar G. Kulkarni, 2005. "Outsourcing warranty repairs: Dynamic allocation," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 381-398, August.
    5. O. Zeynep Akc{s}in & Patrick T. Harker, 2001. "Modeling a Phone Center: Analysis of a Multichannel, Multiresource Processor Shared Loss System," Management Science, INFORMS, vol. 47(2), pages 324-336, February.
    6. Bitran, Gabriel R. & Morabito, Reinaldo., 1994. "Open queueing networks : optimization and performance evaluation models for discrete manufacturing systems," Working papers 3743-94., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    7. Gordon H. Lewis & Ashok Srinivasan & Eswaran Subrahmanian, 1998. "Staffing and Allocation of Workers in an Administrative Office," Management Science, INFORMS, vol. 44(4), pages 548-570, April.

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