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Solving surgical cases assignment problem by a branch-and-price approach

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  • Fei, H.
  • Chu, C.
  • Meskens, N.
  • Artiba, A.
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    Abstract

    In this paper, we study a surgical cases assignment problem (SCAP) of assigning a set of surgical cases to several multifunctional operating rooms with an objective of minimizing total operating cost. Firstly, we formulate this problem as an integer problem and then reformulate the integer program by using Dantzig-Wolf decomposition as a set partitioning problem. Based on this set partitioning formulation, a so-called branch-and-price exact solution algorithm, combining Branch-and-Bound procedure with column generation (CG) method, is designed for the proposed problem where each node is the linear relaxation problem of a set partitioning problem. This linear relaxation problem is solved by a CG approach in which each column represents a plan for one operating room and is generated by solving a sub-problem (SP) of single operating room planning problem. The computational results indicate that the decomposition approach is promising and capable of solving large problems.

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    Bibliographic Info

    Article provided by Elsevier in its journal International Journal of Production Economics.

    Volume (Year): 112 (2008)
    Issue (Month): 1 (March)
    Pages: 96-108

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    Handle: RePEc:eee:proeco:v:112:y:2008:i:1:p:96-108

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    Web page: http://www.elsevier.com/locate/ijpe

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    References

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    1. Hifi, M. & Zissimopoulos, V., 1996. "A recursive exact algorithm for weighted two-dimensional cutting," European Journal of Operational Research, Elsevier, vol. 91(3), pages 553-564, June.
    2. Vissers, Jan M. H., 1998. "Patient flow-based allocation of inpatient resources: A case study," European Journal of Operational Research, Elsevier, vol. 105(2), pages 356-370, March.
    3. Guinet, Alain & Chaabane, Sondes, 2003. "Operating theatre planning," International Journal of Production Economics, Elsevier, vol. 85(1), pages 69-81, July.
    4. William S. Lovejoy & Ying Li, 2002. "Hospital Operating Room Capacity Expansion," Management Science, INFORMS, vol. 48(11), pages 1369-1387, November.
    5. Chen, Zhi-Long & Powell, Warren B., 1999. "A column generation based decomposition algorithm for a parallel machine just-in-time scheduling problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 220-232, July.
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    Cited by:
    1. Lamiri, Mehdi & Grimaud, Frédéric & Xie, Xiaolan, 2009. "Optimization methods for a stochastic surgery planning problem," International Journal of Production Economics, Elsevier, vol. 120(2), pages 400-410, August.
    2. Ben Bachouch, Rym & Guinet, Alain & Hajri-Gabouj, Sonia, 2012. "An integer linear model for hospital bed planning," International Journal of Production Economics, Elsevier, vol. 140(2), pages 833-843.
    3. Gartner, Daniel & Kolisch, Rainer, 2014. "Scheduling the hospital-wide flow of elective patients," European Journal of Operational Research, Elsevier, vol. 233(3), pages 689-699.
    4. Choi, Sangdo & Wilhelm, Wilbert E., 2014. "An approach to optimize block surgical schedules," European Journal of Operational Research, Elsevier, vol. 235(1), pages 138-148.
    5. Francesca Guerriero & Rosita Guido, 2011. "Operational research in the management of the operating theatre: a survey," Health Care Management Science, Springer, vol. 14(1), pages 89-114, March.
    6. Fei, Hongying & Meskens, Nadine & Combes, Catherine & Chu, Chengbin, 2009. "The endoscopy scheduling problem: A case study with two specialised operating rooms," International Journal of Production Economics, Elsevier, vol. 120(2), pages 452-462, August.

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