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Original Articles

Minimax cth percentile of makespan in surgical scheduling

, , , &
Pages 118-130 | Received 16 Aug 2018, Accepted 11 Nov 2019, Published online: 14 Dec 2019
 

ABSTRACT

In this paper, we address the problem of finding an assignment of n surgeries to be performed in one of m parallel identical operating rooms (ORs), given each surgery has a stochastic duration with a known mean and standard deviation. The objective is to minimise the maximum of the cth percentile of makespan of any OR. We formulate this problem as a nonlinear integer program, and small-sized instances are solved using the GAMS BONMIN solver. We develop a greedy heuristic and a genetic algorithm procedure for solving large-sized instances. Using real data from a major U.S. teaching hospital and benchmarking datasets from the literature, we report on the performance of the heuristics as compared to the GAMS BONMIN solver.

Disclosure statement

No potential conflict of interest was reported by the authors.

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