Work Force Size and Single Shift Schedules with Variable Demands

In recent years, labour negotiations for seven-day-week organizations such as hospitals, mining companies and chemical industries have seen an increased emphasis on improving shift schedules. This paper gives an exact lower bound on the number of workers required to satisfy such primary contractual...

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Bibliographic Details
Published inManagement science Vol. 31; no. 5; pp. 599 - 607
Main Authors Burns, R. N, Carter, M. W
Format Journal Article
LanguageEnglish
Published Linthicum, MD INFORMS 01.05.1985
Institute of Management Sciences
Institute for Operations Research and the Management Sciences
SeriesManagement Science
Subjects
Algorithms
Applied sciences
Employees
Exact sciences and technology
labor
Labor demand
Mathematical programming
Operational research and scientific management
Operational research. Management science
Organization theory
organizational studies: manpower planning
Planning. Forecasting
production
Production scheduling
Schedules
Scheduling
Workers
Workforce
Workforce planning
Manpower
Planning
Integrated planning
Production
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Summary:In recent years, labour negotiations for seven-day-week organizations such as hospitals, mining companies and chemical industries have seen an increased emphasis on improving shift schedules. This paper gives an exact lower bound on the number of workers required to satisfy such primary contractual commitments as ensuring that each employee receives at least A out of every B weekends off, everyone works exactly five days per week, and no one works more than six consecutive days. The model addressed is general in that it allows the number of workers required each day to vary. The proof that the bound is the best possible is constructive. A linear time algorithm is presented that generates schedules satisfying all the primary objectives. Extensions discuss means of incorporating secondary objectives such as giving pairs of adjacent days off.
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ISSN:0025-1909
1526-5501
DOI:10.1287/mnsc.31.5.599