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Authors: M. Al-Foraih ; P. Johnson ; G. Evatt and P. Duck

Affiliation: University of Manchester, United Kingdom

Keyword(s): Workforce Staffing, Stochastic Models, Time-Varying Queues, Network Queues.

Related Ontology Subjects/Areas/Topics: Applications ; Artificial Intelligence ; Knowledge Discovery and Information Retrieval ; Knowledge-Based Systems ; Methodologies and Technologies ; Network Optimization ; Operational Research ; Optimization ; OR in Transportation ; Pattern Recognition ; Queuing Theory ; Software Engineering ; Stochastic Processes ; Symbolic Systems

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 several formats:
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 - ICORES; ISBN 978-989-8565-40-2; ISSN 2184-4372, SciTePress, pages 258-263. DOI: 10.5220/0004276902580263

@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 - ICORES},
year={2013},
pages={258-263},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004276902580263},
isbn={978-989-8565-40-2},
issn={2184-4372},
}

TY - CONF

JO - Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems - ICORES
TI - Optimal Staffing Policy - A Service System with Stochastic Travel Times
SN - 978-989-8565-40-2
IS - 2184-4372
AU - Al-Foraih, M.
AU - Johnson, P.
AU - Evatt, G.
AU - Duck, P.
PY - 2013
SP - 258
EP - 263
DO - 10.5220/0004276902580263
PB - SciTePress