Optimal allocation of MRI scan capacity among competitive medical departments

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Abstract

We consider an MRI scanning facility, run by a Radiology department, with limited capacity. Several medical departments compete for capacity, and have private information regarding their demand for scans. The fairness of the capacity allocation by the Radiology department depends on the quality of the information provided by the medical departments. We employ a generic Bayesian Game approach that stimulates the disclosure of true demand (truth-telling), so that capacity can be allocated fairly. We derive conditions under which truth-telling is a Bayesian Nash Equilibrium. The usefulness of the approach is illustrated with a case study.
Original languageEnglish
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Number of pages16
Publication statusPublished - 3 May 2010

Publication series

NameMemorandum / Department of Applied Mathematics
PublisherDepartment of Applied Mathematics, University of Twente
No.1920
ISSN (Print)1874-4850
ISSN (Electronic)1874-4850

Keywords

  • MSC-91A10
  • Capacity allocation
  • Game Theory
  • Private information
  • OR in Health Services

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  • Cite this

    Zonderland, M. E., & Timmer, J. (2010). Optimal allocation of MRI scan capacity among competitive medical departments. (Memorandum / Department of Applied Mathematics; No. 1920). Enschede: University of Twente, Department of Applied Mathematics.