Shift scheduling in services when employees have limited availability: An LP approach

Shift scheduling in services when employees have limited availability: An LP approach

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Article ID: iaor1992137
Country: United States
Volume: 9
Start Page Number: 352
End Page Number: 370
Publication Date: Nov 1990
Journal: Journal of Operations Management
Authors:
Keywords: personnel & manpower planning, programming: linear
Abstract:

This paper compares two linear programming (LP) models to shift scheduling in services where homogeneously-skilled employees are available at limited times. Although both models are based on set covering approaches, one explicitly matches employees to shifts, while the other imposes this matching implicitly. Each model is used in three forms-one with complete, another with very limited meal break placement flexibility, and a third without meal breaks-to provide initial schedules to a completion/improvement heuristic. The term completion/improvement heuristic is used to describe a construction/improvement heuristic operating on a starting schedule. On 80 test problems varying widely in scheduling flexibility, employee staffing requirements, and employee availability characteristics, all six LP-based procedures generated lower cost schedules than a comparison from-scratch construction/improvement heuristic. This heuristic, which perpetually maintains an explicit matching of employees to shifts, consists of three phases which add, drop, and modify shifts. In terms of schedule cost, schedule generation time, and model size, the procedures based on the implicit model performed better, as a group, than those based on the explicit model. The LP model with complete break placement flexibility and implicitly matching employees to shifts generated schedules costing 6.7% less than those developed by the from-scratch heuristic.

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