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A STUDY OF REPLACEMENT STRATEGIES FOR SECOND-HAND PRODUCTS WITH RESIDUAL VALUE

具殘值的二手產品置換策略之研究

摘要


This paper investigates replacement strategies for second-hand products with residual value under a finite planning horizon (FPH) from the consumer's perspective. Suppose that the second-hand product is replaced by a new product with free-repair warranty (FRW) and residual value within a FPH. Within the second-hand product usage period, any failure is corrected by minimal repair which incurs a fixed cost to the consumers. When the new product fails during FRW, minimal repair is performed for the failed product and the repair cost is free of charge to the consumers. After FRW, the failed product is repaired and incurs a fixed repair cost to the consumers. However, each failure incurs a fixed downtime cost to the consumers over a FPH. In this paper, the two models of the expected total disbursement cost within a FPH are derived and some properties of the optimal replacement strategy under some reasonable conditions are obtained. Finally, numerical examples are given to illustrate the features of the optimal replacement policy for the two models.

並列摘要


本論文是以消費者的立場來研究探討在產品規劃的使用時程內,具殘值的二手產品之置換策略。在產品規劃的使用時程內,假設二手產品由具殘值且附免費維修保固的全新產品做一次的置換。二手與全新產品在使用期間內故障皆以小修方式處理。二手產品故障的維修費用由消費者全額負擔,全新產品在保固期內故障的維修費用消費者無須負擔,保固期後故障的維修費用由消費者全額負擔。然而,二手與全新產品的每次故障消費者皆須負擔當機成本。依據上述的維修策略,在產品規劃的使用時程內,本論文建構二個期望總支出成本的數學模式,依建構的成本模式尋求二手產品的最佳置換策略,並提供相關數值分析來說明產品最佳置換策略對二個成本模式之影響。

參考文獻


Boland, P. J.,Proschan, F.(1982).Periodic replacement with increasing minimal repair costs at failure.Operations Research.30,1183-1189.
Chang, C. C.,Sheu, S. H.,Chen, Y. L.(2013).Optimal replacement model with age-dependent failure type based on a cumulative repair-cost limit policy.Applied Mathematical Modelling.37(1-2),308-317.
Chien, Y. H.(2008).A general age-replacement model with minimal repair under renewing free-replacement warranty.European Journal of Operational Research.186(3),1043-1058.
Chien, Y. H.,Chen, J. A.(2007).Optimal age-replacement policy for repairable products under renewing free-replacement warranty.International Journal of Systems Science.38(9),759-769.
Chukova, S.,Johnston, M. R.(2006).Two-dimensional warranty repair strategy based on minimal and complete repairs.Mathematical and Computer Modelling.44(11-12),1133-1143.

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