Existence of efficient solutions in infinite horizon optimization under continuous and discrete controls |
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Authors: | Irwin E Schochetman |
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Institution: | a Mathematics and Statistics, Oakland University, Rochester, MI 48309, USA b Department of Industrial and Operations Engineering, University of Michigan, 1205, Beal Avenue, Room 2895, Ann Arbor, MI 48109-2117 USA |
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Abstract: | For time-varying deterministic infinite horizon control problems, we provide conditions for the existence of efficient solutions, i.e., solutions which are optimal to each of the states through which they pass. A sufficient condition is that the mappings from controls to states be open. Applications to production planning are considered. |
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Keywords: | Optimal control Efficient solutions Production planning |
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