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A branch and bound based heuristic for makespan minimization of washing operations in hospital sterilization services

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  • Ozturk, Onur
  • Begen, Mehmet A.
  • Zaric, Gregory S.

Abstract

In this paper, we address the problem of parallel batching of jobs on identical machines to minimize makespan. The problem is motivated from the washing step of hospital sterilization services where jobs have different sizes, different release dates and equal processing times. Machines can process more than one job at the same time as long as the total size of jobs in a batch does not exceed the machine capacity. We present a branch and bound based heuristic method and compare it to a linear model and two other heuristics from the literature. Computational experiments show that our method can find high quality solutions within short computation time.

Suggested Citation

  • Ozturk, Onur & Begen, Mehmet A. & Zaric, Gregory S., 2014. "A branch and bound based heuristic for makespan minimization of washing operations in hospital sterilization services," European Journal of Operational Research, Elsevier, vol. 239(1), pages 214-226.
    • Handle: RePEc:eee:ejores:v:239:y:2014:i:1:p:214-226
    DOI: 10.1016/j.ejor.2014.05.014
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    1. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    2. Maria Di Mascolo & Alexia Gouin, 2013. "A generic simulation model to assess the performance of sterilization services in health establishments," Health Care Management Science, Springer, vol. 16(1), pages 45-61, March.
    3. Philippe Baptiste, 2000. "Batching identical jobs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(3), pages 355-367, December.
    4. Malapert, Arnaud & Guéret, Christelle & Rousseau, Louis-Martin, 2012. "A constraint programming approach for a batch processing problem with non-identical job sizes," European Journal of Operational Research, Elsevier, vol. 221(3), pages 533-545.
    5. Potts, Chris N. & Kovalyov, Mikhail Y., 2000. "Scheduling with batching: A review," European Journal of Operational Research, Elsevier, vol. 120(2), pages 228-249, January.
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    Cited by:

    1. Yang, Fan & Davari, Morteza & Wei, Wenchao & Hermans, Ben & Leus, Roel, 2022. "Scheduling a single parallel-batching machine with non-identical job sizes and incompatible job families," European Journal of Operational Research, Elsevier, vol. 303(2), pages 602-615.
    2. Adam Diamant & Joseph Milner & Fayez Quereshy & Bo Xu, 2018. "Inventory management of reusable surgical supplies," Health Care Management Science, Springer, vol. 21(3), pages 439-459, September.
    3. Steffen Rickers & Florian Sahling, 2024. "Integrated procurement and reprocessing planning for reusable medical devices with a limited shelf life," Health Care Management Science, Springer, vol. 27(2), pages 168-187, June.
    4. Volland, Jonas & Fügener, Andreas & Schoenfelder, Jan & Brunner, Jens O., 2017. "Material logistics in hospitals: A literature review," Omega, Elsevier, vol. 69(C), pages 82-101.
    5. Ozturk, Onur, 2020. "A truncated column generation algorithm for the parallel batch scheduling problem to minimize total flow time," European Journal of Operational Research, Elsevier, vol. 286(2), pages 432-443.
    6. Zhang, Han & Li, Kai & Jia, Zhao-hong & Chu, Chengbin, 2023. "Minimizing total completion time on non-identical parallel batch machines with arbitrary release times using ant colony optimization," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1024-1046.

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