A Different Approach to Nurse Scheduling Problem: Lagrangian Relaxation

Öztürkoğlu, Yücel

doi:http://dx.doi.org/10.17093/alphanumeric.659121

A Different Approach to Nurse Scheduling Problem: Lagrangian Relaxation

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Yücel Öztürkoğlu, Ph.D.

Abstract

The problem of nurse scheduling is categorized in an Np-Hard complexity as it is inherently composed of many limitations and assumptions. As the number of nurses and the number of days increase, finding the solution of the problem becomes quite difficult. Therefore, this paper propose both an integer-programming model and a Lagrangian relaxation approach for solving nurse-scheduling problem. Numerical results show that while the developed mathematical model works on small-scale problems, Lagrangian relaxation method finds better results for large scale scheduling problem with much smaller duality gap in a reasonable computational time.

Keywords: Lagrangian Relaxation, Mathematical Model, Nurse, Scheduling

Jel Classification: C46

Suggested citation

Öztürkoğlu, Y. (2020). A Different Approach to Nurse Scheduling Problem: Lagrangian Relaxation. Alphanumeric Journal, 8(2), 237-248. http://dx.doi.org/10.17093/alphanumeric.659121

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2020.08.02.OR.04

alphanumeric journal

Volume 8, Issue 2, 2020

Pages 237-248

Received: Dec. 19, 2019

Accepted: Sept. 24, 2020

Published: Dec. 31, 2020

Full Text [625.3 KB]

2020 Öztürkoğlu, Y.

This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence, which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.

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