A set-processing algorithm for scheduling staff on 4-day or 3-day work weeks

Burns, R. N.; Narasimhan, Rangarajan; Smith, L. Douglas

doi:10.1002/(sici)1520-6750(199812)45:8<839::aid-nav5>3.0.co;2-r

Cited by 12 publications

(3 citation statements)

References 9 publications

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“…where a is the largest integer less than or equal to a Proof is provided in the Appendix that Equation system (11) represents a feasible and optimum solution to the (14, 21) days-off scheduling problem defined by equations (1) to (5). The value of k can be any integer from 1 to 7, which provides flexibility in choosing the active days-off assignments.…”

Section: Days-off Assignmentsmentioning

confidence: 99%

Optimum Workforce Scheduling Under the (14, 21) Days-Off Timetable

Alfares¹

2002

J. of Appl. Math & Decision Sc.

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An efficient optimum solution is presented for a real-life employee daysoff scheduling problem with a three-week cycle. Over a given work cycle, each worker is given 14 successive workdays and 7 successive off days. This three-week days-off timetable is referred to as the (14, 21) schedule. Given different labor demands for each day of the week, the primary objective is to minimize the number of workers. The secondary objective is to reduce transportation cost by minimizing the number of active days-off patterns. The solution technique utilizes the dual LP solution to determine the minimum number of workers and feasible days-off assignments, without using linear or integer programming. The simple solution technique eliminates the need to use integer programming for this particular scheduling problem.

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Section: Days-off Assignmentsmentioning

confidence: 99%

Optimum Workforce Scheduling Under the (14, 21) Days-Off Timetable

Alfares¹

2002

J. of Appl. Math & Decision Sc.

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“…The most usual type of schedule is referred to as the (5) and (7) problem, in which each work pattern includes 5 workdays and 2 consecutive offdays per week (Alfares, 1998). An alternative work schedule is that of a 4-day workweek (Burns et al, 1998;Alfares, 2003). Such working conditions are common in 7-day-a-week organizations such as hospitals, manufacturing plants, and retail stores.…”

Section: Introductionmentioning

confidence: 99%

Efficient shift scheduling in the retail sector through two-stage optimization

Kabak

Ülengin

Aktaş

et al. 2008

European Journal of Operational Research

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“…Shift and daysoff scheduling problems are equivalent when there is a single shift on a work day. Consequently, related problems are classified under single-shift scheduling (see, e.g., [13,27,5,15,28,37,9]) and multiple-shift scheduling (see, e.g., [56,47,14,39,38]) of a single category or multiple categories of employees. There are other studies which consider employee preferences and hierarchy.…”

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confidence: 99%

Designing an annual leave scheduling policy: Case of a financial center

Yıldırım¹,

Aydemir-Karadag²

2022

JIMO

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Providing annual leave entitlements for employees can help alleviate burnout since paid-time off work directly affects the health and productivity of workers as well as the quality of the service provided. In this paper, we develop realistic vacation scheduling policies and investigate how they compare from both the employer and the employees' perspectives. Among those policies, we consider one that is used in practice, another that we propose as a compromise which performs very well in most cases, and one that is similar to machine scheduling for benchmarking. Integer programming models are formulated and solved under various settings for workload distribution over time, substitution and unit of time for vacations. We use three performance measures for comparisons: penalty cost of unused vacation days, percent vacation granted and level of employee satisfaction. We provide a real-life case study at a bank's financial center. Numerical results suggest that an all-or-nothing type of vacation policy performs economically worse than the others. Attractive annual leave scheduling policies can be designed by administering vacation schedules daily rather than weekly, ensuring full cover for off-duty employees, and offering employees some degree of choice over vacation schedules.

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A set-processing algorithm for scheduling staff on 4-day or 3-day work weeks

Cited by 12 publications

References 9 publications

Optimum Workforce Scheduling Under the (14, 21) Days-Off Timetable

Optimum Workforce Scheduling Under the (14, 21) Days-Off Timetable

Efficient shift scheduling in the retail sector through two-stage optimization

Designing an annual leave scheduling policy: Case of a financial center

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