Optimal periodic flexible policies for two-stage serial supply chains

In a two-stage serial supply chain, a periodic flexible policy (PF policy) allows the retailer to receive fixed orders that may depend on demand history in one period of the ordering cycle and order freely in other periods. Existing literature has shown that certain PF policies can significantly red...

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Main Authors: Liu, Fang, Gavirneni, Srinagesh
Other Authors: Nanyang Business School
Format: Journal Article
Language:English
Published: 2019
Subjects:
Online Access:https://hdl.handle.net/10356/90102
http://hdl.handle.net/10220/48377
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author Liu, Fang
Gavirneni, Srinagesh
author2 Nanyang Business School
author_facet Nanyang Business School
Liu, Fang
Gavirneni, Srinagesh
author_sort Liu, Fang
collection NTU
description In a two-stage serial supply chain, a periodic flexible policy (PF policy) allows the retailer to receive fixed orders that may depend on demand history in one period of the ordering cycle and order freely in other periods. Existing literature has shown that certain PF policies can significantly reduce the inefficiency in a decentralized supply chain. However, these works have mostly defined and implemented ad-hoc periodic flexible policies and have not attempted to identify the optimal periodic flexible policies. In this paper, we characterize the structure of the optimal PF policy using calculus of variations. In particular, we show that under the optimal PF policy, the retailer receives shipments either according to a state dependent capacitated policy or a state dependent order up to policy. Furthermore, we can approximate the retailer’s optimal restricted ordering function by a piecewise linear function and show numerically that this approximation is near optimal.
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spelling ntu-10356/901022023-05-19T06:44:43Z Optimal periodic flexible policies for two-stage serial supply chains Liu, Fang Gavirneni, Srinagesh Nanyang Business School Inventory DRNTU::Business::Management Periodic Flexibility In a two-stage serial supply chain, a periodic flexible policy (PF policy) allows the retailer to receive fixed orders that may depend on demand history in one period of the ordering cycle and order freely in other periods. Existing literature has shown that certain PF policies can significantly reduce the inefficiency in a decentralized supply chain. However, these works have mostly defined and implemented ad-hoc periodic flexible policies and have not attempted to identify the optimal periodic flexible policies. In this paper, we characterize the structure of the optimal PF policy using calculus of variations. In particular, we show that under the optimal PF policy, the retailer receives shipments either according to a state dependent capacitated policy or a state dependent order up to policy. Furthermore, we can approximate the retailer’s optimal restricted ordering function by a piecewise linear function and show numerically that this approximation is near optimal. Accepted version 2019-05-27T05:24:35Z 2019-12-06T17:40:42Z 2019-05-27T05:24:35Z 2019-12-06T17:40:42Z 2018 Journal Article Liu, F., & Gavirneni, S. (2018). Optimal periodic flexible policies for two-stage serial supply chains. European Journal of Operational Research, 268(1), 148-160. doi:10.1016/j.ejor.2018.01.004 0377-2217 https://hdl.handle.net/10356/90102 http://hdl.handle.net/10220/48377 10.1016/j.ejor.2018.01.004 en European Journal of Operational Research © 2018 Elsevier B.V. All rights reserved. This paper was published in European Journal of Operational Research and is made available with permission of Elsevier B.V. 13 p. application/pdf
spellingShingle Inventory
DRNTU::Business::Management
Periodic Flexibility
Liu, Fang
Gavirneni, Srinagesh
Optimal periodic flexible policies for two-stage serial supply chains
title Optimal periodic flexible policies for two-stage serial supply chains
title_full Optimal periodic flexible policies for two-stage serial supply chains
title_fullStr Optimal periodic flexible policies for two-stage serial supply chains
title_full_unstemmed Optimal periodic flexible policies for two-stage serial supply chains
title_short Optimal periodic flexible policies for two-stage serial supply chains
title_sort optimal periodic flexible policies for two stage serial supply chains
topic Inventory
DRNTU::Business::Management
Periodic Flexibility
url https://hdl.handle.net/10356/90102
http://hdl.handle.net/10220/48377
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AT gavirnenisrinagesh optimalperiodicflexiblepoliciesfortwostageserialsupplychains