Robust Inventory Financing Model with Partial Information

Given current fast-changing market conditions and difficulty in obtaining financing for small- and medium-sized enterprises, this paper studies the robust inventory financing model under partial information, that is, where the demand distribution is partly known. Two demand information cases are dis...

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Main Authors: Yong Wang, Jixiang Zhou, Hailei Sun, Lin Jiang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/236083
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author Yong Wang
Jixiang Zhou
Hailei Sun
Lin Jiang
author_facet Yong Wang
Jixiang Zhou
Hailei Sun
Lin Jiang
author_sort Yong Wang
collection DOAJ
description Given current fast-changing market conditions and difficulty in obtaining financing for small- and medium-sized enterprises, this paper studies the robust inventory financing model under partial information, that is, where the demand distribution is partly known. Two demand information cases are discussed: (1) the mean and variance and (2) the support of the demand distribution. In this setting, the robust method that maximizes the worst-case profit and minimizes the firm’s maximum possible regret of not acting optimally would be used to formulate the optimal sales quantity. We show that the approach used in this paper is tractable, and we provide an explicit expression for the robust optimal policy. We then use numerical examples to compare the firm’s losses under two demand information cases with those occurring under demand certainty. More importantly, the numerical examples indicate that our robust inventory financing model can obtain a robust but not conservative solution.
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institution Kabale University
issn 1110-757X
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publishDate 2014-01-01
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series Journal of Applied Mathematics
spelling doaj-art-50a0d4102cbc4ef69c599c51eea89c292025-02-03T05:55:17ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/236083236083Robust Inventory Financing Model with Partial InformationYong Wang0Jixiang Zhou1Hailei Sun2Lin Jiang3School of Economics and Business Administration, Chongqing University, Chongqing 400044, ChinaSchool of Economics and Business Administration, Chongqing University, Chongqing 400044, ChinaSchool of Economics and Business Administration, Chongqing University, Chongqing 400044, ChinaSchool of Mathematics and Information Engineering, Chongqing University of Education, Chongqing 400067, ChinaGiven current fast-changing market conditions and difficulty in obtaining financing for small- and medium-sized enterprises, this paper studies the robust inventory financing model under partial information, that is, where the demand distribution is partly known. Two demand information cases are discussed: (1) the mean and variance and (2) the support of the demand distribution. In this setting, the robust method that maximizes the worst-case profit and minimizes the firm’s maximum possible regret of not acting optimally would be used to formulate the optimal sales quantity. We show that the approach used in this paper is tractable, and we provide an explicit expression for the robust optimal policy. We then use numerical examples to compare the firm’s losses under two demand information cases with those occurring under demand certainty. More importantly, the numerical examples indicate that our robust inventory financing model can obtain a robust but not conservative solution.http://dx.doi.org/10.1155/2014/236083
spellingShingle Yong Wang
Jixiang Zhou
Hailei Sun
Lin Jiang
Robust Inventory Financing Model with Partial Information
Journal of Applied Mathematics
title Robust Inventory Financing Model with Partial Information
title_full Robust Inventory Financing Model with Partial Information
title_fullStr Robust Inventory Financing Model with Partial Information
title_full_unstemmed Robust Inventory Financing Model with Partial Information
title_short Robust Inventory Financing Model with Partial Information
title_sort robust inventory financing model with partial information
url http://dx.doi.org/10.1155/2014/236083
work_keys_str_mv AT yongwang robustinventoryfinancingmodelwithpartialinformation
AT jixiangzhou robustinventoryfinancingmodelwithpartialinformation
AT haileisun robustinventoryfinancingmodelwithpartialinformation
AT linjiang robustinventoryfinancingmodelwithpartialinformation