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A deterministic resource scheduling model in epidemic control: A case study

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  • Rachaniotis, Nikolaos P.
  • Dasaklis, Tom K.
  • Pappis, Costas P.

Abstract

The resources available to tackle an epidemic infection are usually limited, while the time and effort required to control it are increasing functions of the starting time of the containment effort. The problem of scheduling limited available resources, when there are several areas where the population is infected, is considered. A deterministic model, appropriate for large populations, where random interactions can be averaged out, is used for the epidemic’s rate of spread. The problem is tackled using the concept of deteriorating jobs, i.e. the model represents increasing loss rate as more susceptibles become infected, and increasing time and effort needed for the epidemic’s containment. A case study for a proposed application of the model in the case of the mass vaccination against A(H1N1)v influenza in the Attica region, Greece and a comparative study of the model’s performance vs. the applied random practice are presented.

Suggested Citation

  • Rachaniotis, Nikolaos P. & Dasaklis, Tom K. & Pappis, Costas P., 2012. "A deterministic resource scheduling model in epidemic control: A case study," European Journal of Operational Research, Elsevier, vol. 216(1), pages 225-231.
  • Handle: RePEc:eee:ejores:v:216:y:2012:i:1:p:225-231
    DOI: 10.1016/j.ejor.2011.07.009
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    References listed on IDEAS

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    1. A Bachman & T C E Cheng & A Janiak & C T Ng, 2002. "Scheduling start time dependent jobs to minimize the total weighted completion time," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(6), pages 688-693, June.
    2. Adam Janiak & Tomasz Krysiak, 2005. "Multiprocessor Scheduling Problem with Stepwise Model of Job Value Change," Operations Research Proceedings, in: Hein Fleuren & Dick Hertog & Peter Kort (ed.), Operations Research Proceedings 2004, pages 352-359, Springer.
    3. Altay, Nezih & Green III, Walter G., 2006. "OR/MS research in disaster operations management," European Journal of Operational Research, Elsevier, vol. 175(1), pages 475-493, November.
    4. Hein Fleuren & Dick Hertog & Peter Kort (ed.), 2005. "Operations Research Proceedings 2004," Operations Research Proceedings, Springer, number 978-3-540-27679-1, March.
    5. Cheng, T. C. E. & Ding, Q. & Lin, B. M. T., 2004. "A concise survey of scheduling with time-dependent processing times," European Journal of Operational Research, Elsevier, vol. 152(1), pages 1-13, January.
    6. B Alidaee & N K Womer, 1999. "Scheduling with time dependent processing times: Review and extensions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(7), pages 711-720, July.
    7. Janiak, Adam & Kovalyov, Mikhail Y., 2006. "Scheduling in a contaminated area: A model and polynomial algorithms," European Journal of Operational Research, Elsevier, vol. 173(1), pages 125-132, August.
    8. Martin S. Feldstein, 1963. "Economic Analysis, Operational Research, And The National Health Service," Oxford Economic Papers, Oxford University Press, vol. 15(1), pages 19-31.
    9. Brandeau, Margaret L. & Zaric, Gregory S. & Richter, Anke, 2003. "Resource allocation for control of infectious diseases in multiple independent populations: beyond cost-effectiveness analysis," Journal of Health Economics, Elsevier, vol. 22(4), pages 575-598, July.
    10. A Janiak & M Y Kovalyov, 2008. "Scheduling jobs in a contaminated area: a model and heuristic algorithms," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(7), pages 977-987, July.
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