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Journal ArticleDOI

An Optimal Procedure for Allocating Manpower with Cyclic Requirements

TLDR
The optimal allocation of personnel in this situation is formulated as an integer linear programming problem, and the special structure of the formulation is exploited in order to develop an efficient solution algorithm which requires only hand calculations.
Abstract
Certain types of organizations operate continuously and must allocate personnel over time to meet fluctuating, but cyclical, staff requirements. The optimal allocation of personnel in this situation is formulated as an integer linear programming problem, and the special structure of the formulation is exploited in order to develop an efficient solution algorithm which requires only hand calculations. The relationship between optimal solutions and flexibility in the original data is also considered.

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Journal ArticleDOI

Workforce Allocation in Cyclical Scheduling Problems: A Survey

TL;DR: This paper surveys the basic mathematical models for workforce scheduling with cyclic demand for staff, and reviews several problem areas in which these models have been successfully adapted and applied.
Journal ArticleDOI

Cyclic scheduling via integer programs with circular ones.

TL;DR: This work identifies a large class of cyclic staffing problems for which special structure permits the ILP to be solved parametrically as a bounded series of network flow problems.
Journal ArticleDOI

Labor Staffing and Scheduling Models for Controlling Service Levels

TL;DR: Two new models of the labor staffing and scheduling problems that avoid the limitations of existing models are introduced that are expected to have broad applicability in a wide range of organizations operating in both competitive and noncompetitive environments.
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