Production and Sales Planning with Limited Shared Tooling at the Key Operation
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Authors
Brown, Gerald G.
Geoffrion, Arthur M.
Bradley, Gordon H.
Subjects
Advisors
Date of Issue
1981
Date
1981
Publisher
Language
Abstract
The focus of this paper is multiperiod production and sales planning when there is a single
dominant production operation for which tooling (dies, molds, etc.) can be shared among
parts and is limited in availability. Our interest in such problems grew out of management
issues confronting an injection molding manufacturer of plastic pipes and fittings for the
building and chemical industries, but similar problems abound in the manufacture of many
other cast, extruded, molded, pressed, or stamped products. We describe the development and
successful application of a planning model and an associated computational approach for this
class of problems. The focus of this paper is multiperiod production and sales planning when there is a single
dominant production operation for which tooling (dies, molds, etc.) can be shared among
parts and is limited in availability. Our interest in such problems grew out of management
issues confronting an injection molding manufacturer of plastic pipes and fittings for the
building and chemical industries, but similar problems abound in the manufacture of many
other cast, extruded, molded, pressed, or stamped products. We describe the development and
successful application of a planning model and an associated computational approach for this
class of problems.The focus of this paper is multiperiod production and sales planning when there is a single
dominant production operation for which tooling (dies, molds, etc.) can be shared among
parts and is limited in availability. Our interest in such problems grew out of management
issues confronting an injection molding manufacturer of plastic pipes and fittings for the
building and chemical industries, but similar problems abound in the manufacture of many
other cast, extruded, molded, pressed, or stamped products. We describe the development and
successful application of a planning model and an associated computational approach for this
class of problems. The focus of this paper is multiperiod production and sales planning when there is a single
dominant production operation for which tooling (dies, molds, etc.) can be shared among
parts and is limited in availability. Our interest in such problems grew out of management
issues confronting an injection molding manufacturer of plastic pipes and fittings for the
building and chemical industries, but similar problems abound in the manufacture of many
other cast, extruded, molded, pressed, or stamped products. We describe the development and
successful application of a planning model and an associated computational approach for this
class of problems. The problem is modeled as a mixed integer linear program. Lagrangean relaxation is applied so as to exploit the availability of highly efficient techniques for minimum cost network flow problems and for single-item dynamic lot-sizing type problems. For the practical application at hand, provably good solutions are routinely being obtained in modest computing time to problems far beyond the capabilities of available mathematical programming systems.
Type
Article
Description
Management Science, 27, 3, pp. 247-259, (Nominated for 1981 International Management Science Achievement Award).
Series/Report No
Department
Operations Research (OR)
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Citation
Brown, G.G., Geoffrion, A., and Bradley, G. 1981, “Production and Sales Planning with Limited Shared Tooling at the Key Operation,” Management Science, 27, 3, pp. 247-259, (Nominated for 1981 International Management Science Achievement Award).
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defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.