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European Journal of Operational Research
Volume 189, Issue 3, 16 September 2008, Pages 652-668
 
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doi:10.1016/j.ejor.2006.10.060    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2007 Elsevier B.V. All rights reserved.

A branch-and-price approach for integrating nurse and surgery scheduling

Jeroen BeliënCorresponding Author Contact Information, a, E-mail The Corresponding Author and Erik Demeulemeestera, E-mail The Corresponding Author

aDecision Sciences and Information Management, Faculty of Economics and Applied Economics, Katholieke Universiteit Leuven, Naamsestraat 69, 3000 Leuven, Belgium

Received 12 October 2005; 
accepted 6 October 2006. 
Available online 18 January 2007.

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Abstract

A common problem at hospitals is the extreme variation in daily (even hourly) workload pressure for nurses. The operating room is considered to be the main engine and hence the main generator of variance in the hospital. The purpose of this paper is threefold. First of all, we present a concrete model that integrates both the nurse and the operating room scheduling process. Second, we show how the column generation technique approach, one of the most employed exact methods for solving nurse scheduling problems, can easily cope with this model extension. Third, by means of a large number of computational experiments we provide an idea of the cost saving opportunities and required solution times.

Keywords: Scheduling; Integer programming; Branch-and-price; OR in health services

Article Outline

1. Introduction
2. Background and literature review
3. Model description
3.1. Schematic overview
3.2. The nurse scheduling problem
3.3. Solution procedure for the nurse scheduling problem
3.4. The generalized nurse scheduling problem
3.5. Solution procedure for the generalized nurse scheduling problem
4. Pricing problems
4.1. Generating a new roster line
4.2. Generating a new workload pattern
5. Overview of the branch-and-price algorithm
6. Computational performance issues
6.1. Integral versus fractional demand values
6.2. Upper bound pruning for the workload pattern pricing problem
6.3. Two-phase approach for the workload pattern pricing problem
6.4. Lagrange dual pruning
7. Results
7.1. Test set
7.2. Savings
7.3. Interpretation of the savings
7.4. Computational results
8. Conclusions and further research
Acknowledgements
References




 
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