Optimal Staffing Policy: A Service System with Stochastic Travel Times

Al-Foraih, Mishari and Johnson, Paul and Evatt, Geoff and Duck, Peter (2012) Optimal Staffing Policy: A Service System with Stochastic Travel Times. In: 2nd International Conference on Operation Research and Enterprise Systems, 16-18 February 2013, Barcelona, Spain.

[img] PDF
mishari-paper70.pdf

Download (142kB)

Abstract

Private sector operators of response services such as ambulance, fire or police etc. are often regulated with targets on the distribution of response times, which may result in inefficient over staffing 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.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Workforce Staffing; Stochastic Models; Time-Varying Queues; Network Queues
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations
MSC 2010, the AMS's Mathematics Subject Classification > 49 Calculus of variations and optimal control; optimization
MSC 2010, the AMS's Mathematics Subject Classification > 90 Operations research, mathematical programming
Depositing User: Mr Mishari Al-Foraih
Date Deposited: 23 Jul 2013
Last Modified: 20 Oct 2017 14:13
URI: http://eprints.maths.manchester.ac.uk/id/eprint/2002

Actions (login required)

View Item View Item