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An incentive-based method for hospital capacity management in a pandemic: the assignment approach

Published Online:pp 452-473https://doi.org/10.1504/IJMOR.2014.063157

We consider a hospital capacity management problem that addresses the drastic surge of patient volume during a pandemic. This paper is novel in that it allows patients to choose hospitals on their own, whereas most literature assumes that patients will go to their assigned hospitals. We propose an incentive-based approach to help direct patients to alternative hospitals so that capacity shortages across all hospitals are balanced. Consequently, the hospital resources for the community as a whole are utilised most efficiently. The proposed approach is based on two assignment models. One is a (decentralised) equilibrium model for describing patients’ choice of hospital. The other is a (centralised) non-linear programming model for the health authority to maximise the resource utilisation of all the hospitals in the region. We show that when responding to incentive programmes at properly chosen hospitals, the patients’ choice of hospitals can match the one desired by the central health authority, i.e., the one that utilises the overall resources most efficiently. Numerical examples are used to illustrate our approach.

Keywords

healthcare capacity management, incentive driven, network

References

  • 1. Aaby, K. , Abbey, R.L. , Herrmann, J.W. , Treadwell, M. , Jordan, C.S. , Wood, K. (2006a). ‘Embracing computer modeling to address pandemic influenza in the 21st century’. Journal of Public Health Management and Practice. 12, 4, 365-372 Google Scholar
  • 2. Aaby, K. , Herrmann, J.W. , Jordan, C.S. , Treadwell, M. , Wood, K. (2006b). ‘Montgomery County’s public health service uses operations research to plan emergency mass dispensing and vaccination clinics’. Interfaces. 36, 4, 569-579 Google Scholar
  • 3. Bai, L. , Rubin, P.A. (2009). ‘Combinatorial benders cuts for the minimum tollbooth problem’. Operations Research. 57, 6, 1510-1522 Google Scholar
  • 4. Bai, L. , Hearn, D.W. , Lawphongpanich, S. (2004). ‘Decomposition techniques for the minimum toll revenue problem’. Networks. 44, 2, 142-150 Google Scholar
  • 5. Blake, J.T. , Carter, M.W. (2002). ‘A goal programming approach to strategic resource, allocation in acute care hospitals’. European Journal of Operational Research. 140, 3, 541-561 Google Scholar
  • 6. Choudhury, A. , Pallabi, M. (2013). ‘Customer impatience in a service facility with limited waiting space’. International Journal of Mathematics in Operational Research. 5, 3, 387-406 AbstractGoogle Scholar
  • 7. Chu, S.C.K. , Chu, L. (2000). ‘A modeling framework for hospital location and service allocation’. International Transactions in Operational Research. 7, 6, 539-568 Google Scholar
  • 8. Dafermos, S. (1980). ‘Traffic equilibrium and variational inequalities’. Transportation Science. 14, 1, 4254 Google Scholar
  • 9. Fathabadi, H.S. , Khodaei, M. (2012). ‘Reliability evaluation of network flows with stochastic capacity and cost constraint’. International Journal of Mathematics in Operational Research. 4, 4, 439-452 AbstractGoogle Scholar
  • 10. Florian, M. , Hearn, D.W. , Ball, M.O. Magnanti, T.L. Monma, C.L. Nemhauser, G.L. (1995). ‘Network equilibrium models and algorithms’. Handbooks in Operations Research and Management Science, Network Routing. 8, North-Holland, New York, 485-550 Google Scholar
  • 11. General Algebraic Modeling System (GAMS) (1995). GAMS Development Corporation Google Scholar
  • 12. Govind, R. , Chatterjee, R. , Mittal, V. (2008). ‘Timely access to health care: Customer-focused resource allocation in a hospital network’. International Journal of Research in Marketing. 25, 4, 294-300 Google Scholar
  • 13. Green, M.B. , Cromley, R.G. , Semple, R.K. (1980). ‘The bounded transportation problem’. Economic Geography. 56, 1, 30-44 Google Scholar
  • 14. Gu, W. , Wang, X. , McGregor, S.E. (2010). ‘Optimization of preventive health care facility locations’. International Journal of Health Geographics. 9, 17, 1-16 Google Scholar
  • 15. Gunes, E.D. , Yaman, H. (2010). ‘Health network mergers and hospital re-planning’. Journal of the Operational Research Society. 61, 2, 275-283 Google Scholar
  • 16. Harper, P.R. , Shahani, A.K. , Gallagher, J.E. , Bowie, C. (2005). ‘Planning health services with explicit geographical considerations: a stochastic location-allocation approach’. Omega. 33, 2, 141-152 Google Scholar
  • 17. Hearn, D.W. , Ramana, M. , Marcotte, P. Nguyen, S. (1998). ‘Solving congestion toll pricing models’. Equilibrium and Advanced Transportation Modeling. Norwell, MA:Kluwer Academic Publishers , 109-124 Google Scholar
  • 18. Kasemset, C. , Kachitvichyanukul, V. (2012). ‘A PSO-based procedure for a bi-level, multi-objective TOC-based job-shop scheduling problem’. International Journal of Operational Research. 14, 1, 50-69 AbstractGoogle Scholar
  • 19. Lee, E.K. , Maheshwary, S. , Mason, J. , Glisson, W. (2006a). ‘Decision support system for mass dispensing of medications for infectious disease outbreaks and bioterrorist attacks’. Annals of Operations Research. 148, 1, 25-53 Google Scholar
  • 20. Lee, E.K. , Maheshwary, S. , Mason, J. , Glisson, W. (2006b). ‘Large-scale dispensing for emergency response to bioterrorism and infectious-disease outbreak’. Interfaces. 36, 6, 591-607 Google Scholar
  • 21. Lee, E.K. , Smalley, H.K. , Zhang, Y. , Pietz, F. , Benecke, B. (2009). ‘Facility location and multi-modality mass dispensing strategies and emergency response for biodefence and infectious disease outbreaks’. International Journal of Risk Assessment and Management. 12, 2, 311-351 AbstractGoogle Scholar
  • 22. Lum, M.E. , McMillan, A.J. , Brook, C.W. , Lester, R. , Piers, L.S. (2009). ‘Impact of pandemic (H1N1) 2009 influenza on critical care capacity in Victoria’. Medical Journal of Australia. 191, 9, 502-506 Google Scholar
  • 23. Meltzer, M.I. , Cox, N.J. , Fukuda, K. (1999). ‘The economic impact of pandemic influenza in the United States: priorities for intervention’. Emerging Infectious Diseases. 5, 5, 659-671 Google Scholar
  • 24. Mitropoulos, P. , Mitropoulos, I. , Giannikos, I. , Sissouras, A. (2006). ‘A biobjective model for the locational planning of hospitals and health centers’. Health Care Management Science. 9, 2, 171-179 Google Scholar
  • 25. Rico, F. , Salari, E. , Centeno, G. (2007). ‘Emergency departments nurse allocation to face a pandemic influenza outbreak’. Proceedings of the 39th Winter Simulation Conference. 1292-1298 Google Scholar
  • 26. Ruth, J.R. (1981). ‘A mixed integer programming model for regional planning of a hospital inpatient service’. Management Science. 27, 5, 521-533 Google Scholar
  • 27. Santibanez, P. , Bekiou, G. , Yip, K. (2009). ‘Fraser health uses mathematical programming to plan its inpatient hospital network’. Interfaces. 39, 3, 196-208 Google Scholar
  • 28. Sivakumar, P. , Ganesh, K. , Anbuudayasankar, S.P. , Punniyamoorthy, M. , Lenny Koh, S.C. (2012). ‘Heuristic approach for balanced allocation problem in logistics: a comparative study’. International Journal of Operational Research. 14, 3, 255-270 AbstractGoogle Scholar
  • 29. Smith, M. (1979). ‘The existence, uniqueness and stability of traffic equilibria’. Transportation Research Part B: Methodological. 13, 4, 295-304 Google Scholar
  • 30. Soroush, H.M. , Talal, M.A. (2011). ‘The general traffic equilibrium problem in a stochastic network with travellers’ risk aversion and inaccurate perceptions’. International Journal of Operational Research. 10, 1, 1-40 AbstractGoogle Scholar
  • 31. Stummer, C. , Doerner, K. , Focke, A. , Heidenberger, K. (2004). ‘Determining location and size of medical departments in a hospital network: a multiobjective decision support approach’. Health Care Management Science. 7, 1, 63-71 Google Scholar
  • 32. Sun, L. , Depuy, G. (2010). Optimization Models for Patient Allocation during a Pandemic Influenza Outbreak. University of Louisville:Department of Industrial Engineering , Technical report Google Scholar
  • 33. Verter, V. , Lapierre, S.D. (2002). ‘Location of preventive health care facilities’. Annals of Operations Research. 110, 1–4, 123-132 Google Scholar
  • 34. Youn, H. , Gastner, M.T. , Jeong, H. (2008). ‘Price of anarchy in transportation networks: efficiency and optimality control’. Physics Review Letter. 101, 12, 128701-128704 Google Scholar
  • 35. Zhang, X. , Meltzer, M.I. , Wortley, P. (2006). ‘FluSurge-a tool to estimate demand for hospital services during the next pandemic influenza’. Medical Decision Making. 26, 6, 617-623 Google Scholar
  • 36. Zhang, Y. , Berman, O. , Verter, V. (2009). ‘Incorporating congestion in preventive, healthcare facility network design’. European Journal of Operational Research. 198, 3, 922-935 Google Scholar
  • 37. Zhang, Y. , Berman, O. , Verter, V. (2012). ‘The impact of client choice on preventive healthcare facility network design’. OR Spectrum. 34, 2, 349-370 Google Scholar
  • 38. Zhang, Y. , Berman, O. , Marcotte, P. , Verter, V. (2010). ‘A bilevel model for preventive healthcare facility network design with congestion’. IIE Transactions. 42, 12, 865-880 Google Scholar