Production planning with resources subject to congestion |
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| Authors: | Jakob Asmundsson Ronald L Rardin Can Hulusi Turkseven Reha Uzsoy |
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| Institution: | 1. Straumur Investment Bank, Reykjavik, Iceland;2. Department of Industrial Engineering, University of Arkansas, Fayetteville, Arkansas 72701;3. Blockbuster Distribution Center, Mckinney, Texas 75069;4. Edward P. Fitts Department of Industrial and Systems Engineering, North Carolina State University, Raleigh, North Carolina 27695‐7906 |
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| Abstract: | A fundamental difficulty in developing effective production planning models has been accurately reflecting the nonlinear dependency between workload and lead times. We develop a mathematical programming model for production planning in multiproduct, single stage systems that captures the nonlinear dependency between workload and lead times. We then use outer linearization of this nonlinear model to obtain a linear programming formulation and extend it to multistage systems. Extensive computational experiments validate the approach and compare its results to conventional models that assume workload‐independent planning lead times. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009 |
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| Keywords: | production planning clearing functions mathematical programming congestion |
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