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Oper Res. 1980 Sep-Oct;28(5):1074-85.

Cyclic scheduling via integer programs with circular ones.

Abstract

A fundamental problem of cyclic staffing is to size and schedule a minimum-cost workforce so that sufficient workers are on duty during each time period. This may be modeled as an integer linear program with a cyclically structured 0-1 constraint matrix. We identify a large class of such problems for which special structure permits the ILP to be solved parametrically as a bounded series of network flow problems. Moreover, an alternative solution technique is shown in which the continuous-valued LP is solved and the result rounded in a special way to yield an optimum solution to the ILP.

PMID:
10249179
[Indexed for MEDLINE]

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