A pseudo‐stochastic approach for optimal decision making under limited information: a case of an aggregate production system |
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Authors: | Avi Herbon Eugene Khmelnitsky |
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Affiliation: | 1. Department of Interdisciplinary Studies–Logistics, Bar‐Ilan University, Ramat‐Gan 52100, Israel,;2. Department of Management and Industrial Engineering, Ariel University Center of Samaria, Ariel 44837, Israel,;3. Department of Industrial Engineering, Tel‐Aviv University, Tel‐Aviv 69978, IsraelE‐mail: avher@bezeqint.net [Herbon];4. xmel@eng.tau.ac.il [Khmelnitsky] |
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Abstract: | In this study, which is both analytical and numerical, we compute the effective information horizon (EIH), i.e., the minimal time interval over which future information is relevant for optimal control and for measuring the performance of a single part‐type production system. Optimal control modeling and process solving, which consider aspects of decision making with limited forecast, are exemplified by a single part‐type production system. Specifically, the analysis reveals practical situations in which there is both a performance loss as well as feasibility violation when only information expected within the planning horizon is considered. The analysis is carried out by developing a pseudo‐stochastic model. We follow previous “pseudo‐stochastic” approaches that solve stochastic control problems by using deterministic, optimal control methods. However, we model the expected influences of all future events, including those that are beyond the planning horizon, as encapsulated by their density functions and not only by their mean values. |
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Keywords: | aggregate production limited information optimal control pseudo stochastic model forecast horizon |
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