Elective Patient Admission and Scheduling under Multiple Resource Constraints

Christiane Barz and Kumar Rajaram

Production and Operations Management, 2015, vol. 24, issue 12, 1907-1930

Abstract: type="main" xml:id="poms12395-abs-0001">

We consider a patient admission problem to a hospital with multiple resource constraints (e.g., OR and beds) and a stochastic evolution of patient care requirements across multiple resources. There is a small but significant proportion of emergency patients who arrive randomly and have to be accepted at the hospital. However, the hospital needs to decide whether to accept, postpone, or even reject the admission from a random stream of non-emergency elective patients. We formulate the control process as a Markov decision process to maximize expected contribution net of overbooking costs, develop bounds using approximate dynamic programming, and use them to construct heuristics. We test our methods on data from the Ronald Reagan UCLA Medical Center and find that our intuitive newsvendor-based heuristic performs well across all scenarios.

Date: 2015
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