Optimal Staffing Policy - A Service System with Stochastic Travel Times

M. Al-Foraih, P. Johnson, G. Evatt, P. Duck

Abstract

Private sector operators of response services such as ambulance, fire or police etc. are often regulated by targets on the distribution of response times. This may result in inefficient overstaffing to ensure those targets are met. In this paper, we use a network chain of M=M=K queues to model the arrival and completion of jobs on the system so that quantities such as the expected total time waiting for all jobs can be calculated. The Markov nature enables us to evoke the Hamilton Jacobi Bellman equation (HJB) principle to optimize the required number of staff whilst still meeting targets.

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Paper Citation


in Harvard Style

Al-Foraih M., Johnson P., Evatt G. and Duck P. (2013). Optimal Staffing Policy - A Service System with Stochastic Travel Times . In Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES, ISBN 978-989-8565-40-2, pages 258-263. DOI: 10.5220/0004276902580263


in Bibtex Style

@conference{icores13,
author={M. Al-Foraih and P. Johnson and G. Evatt and P. Duck},
title={Optimal Staffing Policy - A Service System with Stochastic Travel Times},
booktitle={Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},
year={2013},
pages={258-263},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004276902580263},
isbn={978-989-8565-40-2},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,
TI - Optimal Staffing Policy - A Service System with Stochastic Travel Times
SN - 978-989-8565-40-2
AU - Al-Foraih M.
AU - Johnson P.
AU - Evatt G.
AU - Duck P.
PY - 2013
SP - 258
EP - 263
DO - 10.5220/0004276902580263