Combined Sales Effort and Inventory Control under Demand Uncertainty

We study the joint inventory and sales effort management problems of a retailer in a broad context and investigate the optimal policies for a single item, periodic-review system. In each period, the demand is uncertain depending on the sales effort level exerted by the retailer, which incurs an asso...

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Main Authors: Weili Xue, Xiaolin Xu, Ruxian Wang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/984513
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author Weili Xue
Xiaolin Xu
Ruxian Wang
author_facet Weili Xue
Xiaolin Xu
Ruxian Wang
author_sort Weili Xue
collection DOAJ
description We study the joint inventory and sales effort management problems of a retailer in a broad context and investigate the optimal policies for a single item, periodic-review system. In each period, the demand is uncertain depending on the sales effort level exerted by the retailer, which incurs an associated cost. The retailer’s objective is to find a joint optimal inventory replenishment and sales effort policy to maximize the discounted profit over a finite horizon. We first consider a basic setting with zero setup cost and no batch ordering, under which the base stock list sales effort policy is optimal. Two extensions are then investigated: (1) the case with nonzero setup cost, under which we show that (s,S,e) policy is optimal; and (2) the case with batch ordering, under which we prove the optimality of the (r,Nq,e) policy. Finally, we conduct numerical studies to provide additional managerial insights.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-a68fbe5ddf364d278f0ec7ddf25788a32025-02-03T05:53:23ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/984513984513Combined Sales Effort and Inventory Control under Demand UncertaintyWeili Xue0Xiaolin Xu1Ruxian Wang2School of Management and Engineering, Nanjing University, Nanjing 210093, ChinaSchool of Business, Nanjing University, Nanjing 210093, ChinaHewlett-Packard Laboratories, Hewlett-Packard Co., Palo Alto, CA 94304, USAWe study the joint inventory and sales effort management problems of a retailer in a broad context and investigate the optimal policies for a single item, periodic-review system. In each period, the demand is uncertain depending on the sales effort level exerted by the retailer, which incurs an associated cost. The retailer’s objective is to find a joint optimal inventory replenishment and sales effort policy to maximize the discounted profit over a finite horizon. We first consider a basic setting with zero setup cost and no batch ordering, under which the base stock list sales effort policy is optimal. Two extensions are then investigated: (1) the case with nonzero setup cost, under which we show that (s,S,e) policy is optimal; and (2) the case with batch ordering, under which we prove the optimality of the (r,Nq,e) policy. Finally, we conduct numerical studies to provide additional managerial insights.http://dx.doi.org/10.1155/2013/984513
spellingShingle Weili Xue
Xiaolin Xu
Ruxian Wang
Combined Sales Effort and Inventory Control under Demand Uncertainty
Discrete Dynamics in Nature and Society
title Combined Sales Effort and Inventory Control under Demand Uncertainty
title_full Combined Sales Effort and Inventory Control under Demand Uncertainty
title_fullStr Combined Sales Effort and Inventory Control under Demand Uncertainty
title_full_unstemmed Combined Sales Effort and Inventory Control under Demand Uncertainty
title_short Combined Sales Effort and Inventory Control under Demand Uncertainty
title_sort combined sales effort and inventory control under demand uncertainty
url http://dx.doi.org/10.1155/2013/984513
work_keys_str_mv AT weilixue combinedsaleseffortandinventorycontrolunderdemanduncertainty
AT xiaolinxu combinedsaleseffortandinventorycontrolunderdemanduncertainty
AT ruxianwang combinedsaleseffortandinventorycontrolunderdemanduncertainty