Control policy and algorithm analysis for production planning and inventory control

The scope of the research focuses on the optimal policies and algorithm analysis for stochastic and deterministic models from production planning and inventory control. Specifically, three fundamental mathematical models are investigated in detail. For the single product periodic review problem with...

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Bibliographic Details
Main Author: Feng, Yi
Other Authors: Arun Kumar
Format: Thesis
Published: 2008
Subjects:
Online Access:https://hdl.handle.net/10356/5704
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author Feng, Yi
author2 Arun Kumar
author_facet Arun Kumar
Feng, Yi
author_sort Feng, Yi
collection NTU
description The scope of the research focuses on the optimal policies and algorithm analysis for stochastic and deterministic models from production planning and inventory control. Specifically, three fundamental mathematical models are investigated in detail. For the single product periodic review problem with setup costs and equal capacity constraint, this study considers the model where inventory cost function is convex, which has not been investigated deeply in the literature earlier. The optimal policy with property of X-Y band is characterized. The average computation time of newly designed algorithm grows more or less doubly with the periodic numbers, which is more efficient than the others for solving such a model so far. This study also considers a particular model in stochastic multiple product flexible manufacturing system, where the respective model parameter is the same for each product. The obtained results particularly characterize the optimal hedging point policy, and also give a chance to observe the order policy of the general model which has been an open problem for about four decades. Further, parameter analysis is conducted for the uncapacitated economic lot-sizing problem where backlogging is allowed, and some new results are achieved. Recommendations for future research in this field are also proposed.
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spelling ntu-10356/57042023-03-11T18:07:38Z Control policy and algorithm analysis for production planning and inventory control Feng, Yi Arun Kumar School of Mechanical and Aerospace Engineering DRNTU::Engineering::Manufacturing::Inventory control The scope of the research focuses on the optimal policies and algorithm analysis for stochastic and deterministic models from production planning and inventory control. Specifically, three fundamental mathematical models are investigated in detail. For the single product periodic review problem with setup costs and equal capacity constraint, this study considers the model where inventory cost function is convex, which has not been investigated deeply in the literature earlier. The optimal policy with property of X-Y band is characterized. The average computation time of newly designed algorithm grows more or less doubly with the periodic numbers, which is more efficient than the others for solving such a model so far. This study also considers a particular model in stochastic multiple product flexible manufacturing system, where the respective model parameter is the same for each product. The obtained results particularly characterize the optimal hedging point policy, and also give a chance to observe the order policy of the general model which has been an open problem for about four decades. Further, parameter analysis is conducted for the uncapacitated economic lot-sizing problem where backlogging is allowed, and some new results are achieved. Recommendations for future research in this field are also proposed. DOCTOR OF PHILOSOPHY (MPE) 2008-09-17T10:57:07Z 2008-09-17T10:57:07Z 2005 2005 Thesis Feng, Y. (2005). Control policy and algorithm analysis for production planning and inventory control. Doctoral thesis, Nanyang Technological University, Singapore. https://hdl.handle.net/10356/5704 10.32657/10356/5704 Nanyang Technological University application/pdf
spellingShingle DRNTU::Engineering::Manufacturing::Inventory control
Feng, Yi
Control policy and algorithm analysis for production planning and inventory control
title Control policy and algorithm analysis for production planning and inventory control
title_full Control policy and algorithm analysis for production planning and inventory control
title_fullStr Control policy and algorithm analysis for production planning and inventory control
title_full_unstemmed Control policy and algorithm analysis for production planning and inventory control
title_short Control policy and algorithm analysis for production planning and inventory control
title_sort control policy and algorithm analysis for production planning and inventory control
topic DRNTU::Engineering::Manufacturing::Inventory control
url https://hdl.handle.net/10356/5704
work_keys_str_mv AT fengyi controlpolicyandalgorithmanalysisforproductionplanningandinventorycontrol