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Strategic planning of operating room session allocation using stability analysis.

Shiva Faeghi1, Kunibert Lennerts1, Stefan Nickel2

  • 1Department of Civil Engineering, Geo and Environmental Sciences, Institute of Technology and Management in Construction, Karlsruhe Institute of Technology, Karlsruhe, Germany.

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This study introduces a novel game theory approach to fairly allocate limited operating room (OR) resources, reducing surgeon conflict and improving OR session distribution.

Keywords:
Resource allocationoperating roomsstability

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Area of Science:

  • Operations Research
  • Game Theory
  • Healthcare Management

Background:

  • Operating room (OR) resources are scarce, leading to competition among surgeons.
  • Current OR allocation methods prioritize departmental productivity over individual surgeon preferences, causing dissatisfaction.
  • Existing optimization techniques often fail to address surgeon preferences adequately.

Purpose of the Study:

  • To develop a fair and stable methodology for allocating operating room (OR) sessions.
  • To resolve conflicts arising from the competition for limited OR resources.
  • To introduce a game theoretic framework for OR resource allocation.

Main Methods:

  • Formulating OR session allocation as a game with surgeons/specialties as players.
  • Defining and measuring 'stability' using the Power Index method.
  • Integrating the Monte-Carlo technique to handle uncertainties in the allocation process.

Main Results:

  • The proposed game theoretic model offers a stable allocation of OR resources.
  • The Power Index effectively quantifies stability in the allocation game.
  • The Monte-Carlo simulation demonstrates the robustness of the method under uncertainty.

Conclusions:

  • Game theory provides a superior framework for OR resource allocation compared to traditional optimization.
  • The proposed methodology enhances surgeon satisfaction by incorporating their preferences.
  • This approach leads to more stable and equitable distribution of limited OR time.