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Competitive analysis of interrelated price online inventory problems with demands
journal contributionposted on 2017-03-13, 14:13 authored by Shuguang Han, Jueliang Hu, Diwei ZhouDiwei Zhou
This 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.
- Mathematical Sciences
Published inANZIAM Journal
CitationHAN, 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.
PublisherCambridge University Press (CUP) © Australian Mathematical Society
- AM (Accepted Manuscript)
NotesThis 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.