Optimal Control of a Make-to-Stock System with Outsourced Production and Price-Sensitive Demand

We consider a make-to-stock system with controllable demand rate (by varying product selling price) and adjustable service rate (by outsourcing production). With one outsourcing alternative and a choice of either high or low price, the system decides at any point in time whether to produce or even o...

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Main Authors: Liuxin Chen, Gang Hao, Huimin Wang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/301309
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author Liuxin Chen
Gang Hao
Huimin Wang
author_facet Liuxin Chen
Gang Hao
Huimin Wang
author_sort Liuxin Chen
collection DOAJ
description We consider a make-to-stock system with controllable demand rate (by varying product selling price) and adjustable service rate (by outsourcing production). With one outsourcing alternative and a choice of either high or low price, the system decides at any point in time whether to produce or even outsource for additional capacity as well as which price to sell the product at. We show in the paper that the optimal control policy is of dynamic threshold type: all decisions are based on the product inventory position which represents the state of the system; there is a state dependent base stock level to decide on production and a higher level on outsourcing; and there is a state dependent threshold which divides the choice of high and low prices.
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institution Kabale University
issn 1026-0226
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publishDate 2014-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-1b1ca25d1cd440c6b188fd983f6593172025-02-03T05:58:50ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/301309301309Optimal Control of a Make-to-Stock System with Outsourced Production and Price-Sensitive DemandLiuxin Chen0Gang Hao1Huimin Wang2Business School, Hohai University, No. 8 Fochen West Road, Jiangning District, Nanjing City 211100, ChinaDepartment of Management Science, City University of Hong Kong, Kowloon, Hong KongBusiness School, Hohai University, No. 8 Fochen West Road, Jiangning District, Nanjing City 211100, ChinaWe consider a make-to-stock system with controllable demand rate (by varying product selling price) and adjustable service rate (by outsourcing production). With one outsourcing alternative and a choice of either high or low price, the system decides at any point in time whether to produce or even outsource for additional capacity as well as which price to sell the product at. We show in the paper that the optimal control policy is of dynamic threshold type: all decisions are based on the product inventory position which represents the state of the system; there is a state dependent base stock level to decide on production and a higher level on outsourcing; and there is a state dependent threshold which divides the choice of high and low prices.http://dx.doi.org/10.1155/2014/301309
spellingShingle Liuxin Chen
Gang Hao
Huimin Wang
Optimal Control of a Make-to-Stock System with Outsourced Production and Price-Sensitive Demand
Discrete Dynamics in Nature and Society
title Optimal Control of a Make-to-Stock System with Outsourced Production and Price-Sensitive Demand
title_full Optimal Control of a Make-to-Stock System with Outsourced Production and Price-Sensitive Demand
title_fullStr Optimal Control of a Make-to-Stock System with Outsourced Production and Price-Sensitive Demand
title_full_unstemmed Optimal Control of a Make-to-Stock System with Outsourced Production and Price-Sensitive Demand
title_short Optimal Control of a Make-to-Stock System with Outsourced Production and Price-Sensitive Demand
title_sort optimal control of a make to stock system with outsourced production and price sensitive demand
url http://dx.doi.org/10.1155/2014/301309
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AT ganghao optimalcontrolofamaketostocksystemwithoutsourcedproductionandpricesensitivedemand
AT huiminwang optimalcontrolofamaketostocksystemwithoutsourcedproductionandpricesensitivedemand