A General Framework for Modeling Production

Steven T. Hackman and Robert C. Leachman
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Steven T. Hackman: School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332
Robert C. Leachman: Engineering Systems Research Center, University of California, Berkeley, California 94720

Management Science, 1989, vol. 35, issue 4, 478-495

Abstract: We introduce a general framework that guides the management scientist's formulation of deterministic models of production processes. Using the framework, we reformulate the constraints of familiar linear programming-based planning models to specifically treat components of production lead time, thereby realizing a more accurate representation of the production process. In addition, the reformulation accommodates noninteger values for lead times as well as unequal-length planning periods. Manufacturing Resources Planning (MRP) and the Critical Path Method (CPM) are recast in terms of the framework, revealing opportunities for model generalization and extension, and their relationship to linear programming models.

Keywords: production planning and scheduling; model formulation; continuous time analysis (search for similar items in EconPapers)
Date: 1989
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Citations: View citations in EconPapers (18)

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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:35:y:1989:i:4:p:478-495

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