Optimal Control of Production for a Supply Chain System with Time-Varying Demand and Flexible Production Capacities

Bibliographic Details
Main Author:	Fang, Yunmei
Language:	English
Published:	University of Akron / OhioLINK 2008
Subjects:	Mechanical Engineering Supply chain system optimal control flexible production capacities
Online Access:	http://rave.ohiolink.edu/etdc/view?acc_num=akron1213926352

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spelling	ndltd-OhioLink-oai-etd.ohiolink.edu-akron12139263522021-08-03T05:25:36Z Optimal Control of Production for a Supply Chain System with Time-Varying Demand and Flexible Production Capacities Fang, Yunmei Mechanical Engineering Supply chain system optimal control flexible production capacities This research deals with a lean supply chain system where the production facilities operate under a just-in-time (JIT) environment, and the facilities consist of a raw material supplier, a manufacturer with multi-work-stage, and multiple buyers where inventories of raw materials, work-in-process (WIP), and finished products are involved respectively. This work considers that the raw materials are multi-ordered supplying to the 1st work-stage to reduce the inventory carrying cost, the finished products have a demand pattern that changes linearly with time that can simulate the demands of short-life cycle products in the market, an optimal set of production rates selection for each work-stage by incorporating the production capacity constraints to reduce the production cost. The mathematical formulation of the problem is categorized as a mixed integer non-linear programming problem which is solved to find optimum raw material procurement rate, a set of optimal production rate at each work-stage, optimum finished product shipment, optimum Kanban number and its capacity at each Kanban stage, and the minimum system inventory cost. The objective function of the total inventory cost developed in this research is a higher-order exponential function with respect to the decision variables (raw material procurement rate and production rate at each work-stage) for which the closed form solutions are cumbersome. Therefore, Algorithm I is developed to find the optimal relaxed solutions of raw material procurement rate and production rate at each stage, and minimum total inventory related cost including raw materials, WIP and finished products of the production system, then Algorithm II (Branch and Bound Technique) is used to provide near-optimal integer solutions of the problem. Numerical examples are presented to demonstrate the solution techniques. Sensitivity analysis is performed to show the effects of the parameters on the total inventory cost model. Future research direction is suggested for further improvement of the existing results.The production and supply chain management play a significant role for the necessary amount of materials and parts that arrive at the proper time and place. The model developed here can help a manager quickly respond to consumers'needs, determine the right policies to setup the operational layout of production rate of each stage, raw material ordering rate, Kanban configuration at each stage, finish product delivery frequently and manage a production system operation efficiently. 2008 English text University of Akron / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=akron1213926352 http://rave.ohiolink.edu/etdc/view?acc_num=akron1213926352 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection	NDLTD
language	English
sources	NDLTD
topic	Mechanical Engineering Supply chain system optimal control flexible production capacities
spellingShingle	Mechanical Engineering Supply chain system optimal control flexible production capacities Fang, Yunmei Optimal Control of Production for a Supply Chain System with Time-Varying Demand and Flexible Production Capacities
author	Fang, Yunmei
author_facet	Fang, Yunmei
author_sort	Fang, Yunmei
title	Optimal Control of Production for a Supply Chain System with Time-Varying Demand and Flexible Production Capacities
title_short	Optimal Control of Production for a Supply Chain System with Time-Varying Demand and Flexible Production Capacities
title_full	Optimal Control of Production for a Supply Chain System with Time-Varying Demand and Flexible Production Capacities
title_fullStr	Optimal Control of Production for a Supply Chain System with Time-Varying Demand and Flexible Production Capacities
title_full_unstemmed	Optimal Control of Production for a Supply Chain System with Time-Varying Demand and Flexible Production Capacities
title_sort	optimal control of production for a supply chain system with time-varying demand and flexible production capacities
publisher	University of Akron / OhioLINK
publishDate	2008
url	http://rave.ohiolink.edu/etdc/view?acc_num=akron1213926352
work_keys_str_mv	AT fangyunmei optimalcontrolofproductionforasupplychainsystemwithtimevaryingdemandandflexibleproductioncapacities
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Optimal Control of Production for a Supply Chain System with Time-Varying Demand and Flexible Production Capacities

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