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Download fileCompetitive analysis of interrelated price online inventory problems with demands
journal contribution
posted on 2017-03-13, 14:13 authored by Shuguang Han, Jueliang Hu, Diwei ZhouDiwei ZhouThis paper investigates the interrelated price online inventory problems in which decisions as to when and how much to replenish must be made in an online fashion to meet some demand even without
concrete knowledge of future prices. The objective of the decision maker is to minimize the total cost with the demands met. Two different types of demand are considered carefully, which are linearly related demand to price and exponentially related demand to price. In this paper, the prices are online with only the price range variation known in advance, which are interrelated with the preceding price. Two models of price correla-
tions are investigated. Namely an exponential model and a logarithmic model. The corresponding algorithms of the problems are developed and the competitive ratio of the algorithms are also derived by the solutions
of linear programming.
History
School
- Science
Department
- Mathematical Sciences
Published in
ANZIAM JournalCitation
HAN, S., HU, J. and ZHOU, D., 2017. Competitive analysis of interrelated price online inventory problems with demands. ANZIAM Journal, 58 (3-4), pp.368-378.Publisher
Cambridge University Press (CUP) © Australian Mathematical SocietyVersion
- AM (Accepted Manuscript)
Acceptance date
2016-09-30Publication date
2017Notes
This article has been published in a revised form in ANZIAM Journal http://doi.org/10.1017/S144618111700013X. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © Australian Mathematical Society.ISSN
1446-1811eISSN
1446-8735Publisher version
Language
- en