淡江大學機構典藏:Item 987654321/50393
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/50393


    Title: Determining optimal selling price and lot size with a varying rate of deterioration and exponential partial backlogging
    Authors: Dye, Chung-Yuan;Hsieh, Tsu-pang;歐陽良裕;Ouyang, Liang-yuh
    Contributors: 淡江大學經營決策學系
    Keywords: EOQ;Pricing;Deterioration;Partial backlogging
    Date: 2007-09
    Issue Date: 2010-08-09 16:43:26 (UTC+8)
    Publisher: Elsevier
    Abstract: In this paper, a deterministic inventory model for deteriorating items with price-dependent demand is developed. The demand and deterioration rates are continuous and differentiable function of price and time, respectively. In addition, we allow for shortages and the unsatisfied demand is partially backlogged at a negative exponential rate with the waiting time. Under these assumptions, for any given selling price, we first develop the criterion for the optimal solution for the replenishment schedule, and prove that the optimal replenishment policy not only exists but also is unique. If the criterion is not satisfied, the inventory system should not be operated. Next, we show that the total profit per unit time is a concave function of price when the replenishment schedule is given. We then provide a simple algorithm to find the optimal selling price and replenishment schedule for the proposed model. Finally, we use numerical examples to illustrate the algorithm.
    Relation: European Journal of Operational Research 181(2), pp.668-678
    DOI: 10.1016/j.ejor.2006.06.029
    Appears in Collections:[Department of Management Sciences] Journal Article

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