Nonlinear programming for multiperiod capacity planning in a manufacturing system
In this paper, we present nonlinear programming methods for capacity planning in a manufacturing system that consists of a set of machines or work stations producing multiple products. We model the facility as an open network of queues where capacity at each work station in the system may be changed...
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Published in | European journal of operational research Vol. 96; no. 1; pp. 167 - 179 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier B.V
10.01.1997
Elsevier Elsevier Sequoia S.A |
Series | European Journal of Operational Research |
Subjects | |
Online Access | Get full text |
ISSN | 0377-2217 1872-6860 |
DOI | 10.1016/S0377-2217(96)00061-6 |
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Abstract | In this paper, we present nonlinear programming methods for capacity planning in a manufacturing system that consists of a set of machines or work stations producing multiple products. We model the facility as an open network of queues where capacity at each work station in the system may be changed in each of a finite number of time periods. To determine the timing and size of capacity changes, we present two nonlinear programming models and methods for solving the resulting problems. One model involves minimizing total capacity costs such that plant congestion is controlled via upper limits on work-in-process. The other model involves minimizing a weighted sum of product lead times subject to budget constraints on capacity costs. We present solution methods for continuous and discrete capacity options and convex and nonconvex (e.g., economies of scale) capacity cost functions. We use branch and bound and outer approximation techniques to determine globally optimal solutions to the nonconvex problems. Computational testing of the algorithms is reported. |
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AbstractList | In this paper, we present nonlinear programming methods for capacity planning in a manufacturing system that consists of a set of machines or work stations producing multiple products. We model the facility as an open network of queues where capacity at each work station in the system may be changed in each of a finite number of time periods. To determine the timing and size of capacity changes, we present two nonlinear programming models and methods for solving the resulting problems. One model involves minimizing total capacity costs such that plant congestion is controlled via upper limits on work-in-process. The other model involves minimizing a weighted sum of product lead times subject to budget constraints on capacity costs. We present solution methods for continuous and discrete capacity options and convex and nonconvex (e.g., economies of scale) capacity cost functions. We use branch and bound and outer approximation techniques to determine globally optimal solutions to the nonconvex problems. Computational testing of the algorithms is reported. Nonlinear programming methods for capacity planning in a manufacturing system that consists of a set of machines or work stations producing multiple products are presented. The facility is modeled as an open network of queues where capacity at each work station in the system may be changed in each of a finite number of time periods. To determine the timing and size of capacity changes, two nonlinear programming models and methods for solving the resulting problems are presented. One model involves minimizing total capacity costs such that plant congestion is controlled via upper limits on work-in-process. The other model involves minimizing a weighted sum of product lead times subject to budget constraint on capacity costs. Solution methods are presented for continuous and discrete capacity options and convex and nonconvex (e.g., economies of scale) capacity cost functions. Branch and bound and outer approximation techniques to determine globally optimal solutions to the nonconvex problems are used. Computational testing of the algorithms is reported. |
Author | Côté, Murray J. Bretthauer, Kurt M. |
Author_xml | – sequence: 1 givenname: Kurt M. surname: Bretthauer fullname: Bretthauer, Kurt M. – sequence: 2 givenname: Murray J. surname: Côté fullname: Côté, Murray J. |
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Cites_doi | 10.1007/BF01099647 10.1080/05695557308974878 10.1016/0278-6125(87)90016-1 10.1287/ijoc.4.1.2 10.1080/07408179408966617 10.1007/BF01471221 10.1016/0167-6377(90)90059-E 10.1016/0272-6963(82)90018-3 10.1016/0895-7177(95)00090-O 10.1080/05695558108974543 10.1287/opre.37.4.547 10.1016/0377-2217(94)90223-2 10.1287/opre.30.5.907 10.1007/BF02096601 10.1109/TCOM.1977.1093709 10.1016/0377-2217(90)90155-5 10.1016/0377-2217(94)90283-6 10.1002/1520-6750(199404)41:3<435::AID-NAV3220410309>3.0.CO;2-6 10.1007/BF02283698 10.1016/0377-2217(94)00302-5 |
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Keywords | Nonconvex optimization Nonlinear programming Branch and bound Capacity planning |
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Snippet | In this paper, we present nonlinear programming methods for capacity planning in a manufacturing system that consists of a set of machines or work stations... Nonlinear programming methods for capacity planning in a manufacturing system that consists of a set of machines or work stations producing multiple products... |
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SubjectTerms | Algorithms Branch and bound Capacity planning Cost control Economies of scale Manufacturing Mathematical models Nonconvex optimization Nonlinear programming Operations research Optimization Production capacity Studies |
Title | Nonlinear programming for multiperiod capacity planning in a manufacturing system |
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