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題名 A Comparison of Average and Discounted Cost Models for the Dynamic Lot Size Inventory Problem
作者 唐揆
Chand, S.;Tang, Kwei
貢獻者 企管系
關鍵詞 Inventory; production; heuristics; optimization
日期 1985-10
上傳時間 24-Aug-2016 17:23:23 (UTC+8)
摘要 It is a common practice in the inventory literature to use average cost models as approximations to the theoretically correct discounted cost models. An average cost model minimizes the average undiscounted cost per period, while a discounted cost model minimizes the total discounted cost over the problem horizon. This paper attempts to answer an important question: How good are the results (the total discounted costs) for the average cost models compared to those for the discounted cost models? This question has been conclusively answered for the simplest inventory model where the demand rate and other parameters are assumed to remain constant in time. This paper addresses this issue for the first time for the case where demand rates are allowed to be nonstationary in time. A discounted cost model has been developed in the paper to carry out this comparison. It is shown that a simple dynamic programming algorithm can be used to find optimal order policies for the discounted cost model. The effect of the varying interest rates and other parameters on the relative performance of the average cost model has been studied by developing an insightful analysis and also by doing a computational study. The results show that, while the average cost model can cost as much as about 26% more than the discounted cost model in extreme cases, this increase is not significant for the parameter values in the range of the common interest.
關聯 European Journal of Operational Research, 22(1), 9-18
資料類型 article
DOI http://dx.doi.org/10.1016/0377-2217(85)90110-9
dc.contributor 企管系
dc.creator (作者) 唐揆zh_TW
dc.creator (作者) Chand, S.;Tang, Kwei
dc.date (日期) 1985-10
dc.date.accessioned 24-Aug-2016 17:23:23 (UTC+8)-
dc.date.available 24-Aug-2016 17:23:23 (UTC+8)-
dc.date.issued (上傳時間) 24-Aug-2016 17:23:23 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/100714-
dc.description.abstract (摘要) It is a common practice in the inventory literature to use average cost models as approximations to the theoretically correct discounted cost models. An average cost model minimizes the average undiscounted cost per period, while a discounted cost model minimizes the total discounted cost over the problem horizon. This paper attempts to answer an important question: How good are the results (the total discounted costs) for the average cost models compared to those for the discounted cost models? This question has been conclusively answered for the simplest inventory model where the demand rate and other parameters are assumed to remain constant in time. This paper addresses this issue for the first time for the case where demand rates are allowed to be nonstationary in time. A discounted cost model has been developed in the paper to carry out this comparison. It is shown that a simple dynamic programming algorithm can be used to find optimal order policies for the discounted cost model. The effect of the varying interest rates and other parameters on the relative performance of the average cost model has been studied by developing an insightful analysis and also by doing a computational study. The results show that, while the average cost model can cost as much as about 26% more than the discounted cost model in extreme cases, this increase is not significant for the parameter values in the range of the common interest.
dc.format.extent 129 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) European Journal of Operational Research, 22(1), 9-18
dc.subject (關鍵詞) Inventory; production; heuristics; optimization
dc.title (題名) A Comparison of Average and Discounted Cost Models for the Dynamic Lot Size Inventory Problem
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1016/0377-2217(85)90110-9
dc.doi.uri (DOI) http://dx.doi.org/10.1016/0377-2217(85)90110-9