Firefighter staffing including temporary absences and wastage

Firefighter staffing including temporary absences and wastage

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Article ID: iaor2008861
Country: United States
Volume: 54
Issue: 2
Start Page Number: 353
End Page Number: 365
Publication Date: Mar 2006
Journal: Operations Research
Authors: , ,
Keywords: personnel & manpower planning
Abstract:

We examine the problem of determining the annual staffing level that minimizes total expected costs for a fire department, subject to minimum service-level-based staffing requirements. We develop a quantitative model that allows for stochastic temporary absences, permanent wastage, and limited hiring opportunities, and takes into account the unique firefighter work schedule. Our model is reminiscent of traditional newsvendor-type inventory models, but where the uncertainty is dependent on the decision variable. We derive easily implementable optimal staffing policies for both the continuous and discrete cases. We provide numerical results comparing our optimal solution to several heuristic staffing policies commonly used in practice, which show that our optimal policy can provide significant savings. We perform sensitivity analysis to generate managerial insights. We discuss an application of our model and analysis to the Cincinnati Fire Department.

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