Multiple Shift Workforce Lower Bounds

Abstract

Previous lower bounds on workforce size have been derived from the consideration that the number of working shifts which can be provided by the workers over a given period of time must be at least as large as the number of working shifts required by the staffing demands over that period. None of those bounds incorporates the effect of constraints on the changing of shifts in a multiple shift manpower scheduling problem. This paper utilizes a network model of the problem to model its multiple shift aspect and provide new lower bounds on workforce size. For some common special cases of constraints these lower bounds can be calculated by band. For some common special cases of demands the multiple shift lower bounds degenerate to the single shift lower bounds.labor, production/scheduling, networks/graphs: applications

Reexamining the Nurse Scheduling Problem: Staffing Ratios and Nursing Shortages*

“…The planning literature is rooted in a history of aggregate planning studies. Determining the number of employees to hire and fire (Holt, Modigliani, & Simon, 1955; Hanssmann & Hess 1960; Taubert, 1968; Grinold & Marshall, 1977; Mellichamp & Love, 1978; Bartholomew & Forbes, 1979) and methods for determining the size of the workforce (Burns & Carter, 1985; Burns & Koop, 1987; Koop, 1988; Ikem & Reisman, 1990; Dijkstra, Kron, Salomon, van Nunen, & van Wassenhove, 1994) have been studied for many years. In our study, we focus on settings where the size of the workforce is fixed in the short run.…”

Extended abstract — bringing science to the art of workforce management in service industries

“…The size of the workforce required is indicated by shift allocations over a planning horizon, e.g. a week [10], [32].…”