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Integrated Inventory Model with Fuzzy Interest Rate and Dependent Crashing Cost is Polynomial

模糊利率與相依多項式趕工成本下之整合存貨模式

摘要


近幾年,在供應鏈管理當中存貨策略是相當重要的一部分,聯合存貨成本對於供應鏈也有相當大的影響。因為高度競爭的環境,我們需要採取適當的存貨策略以提高供應鏈的收益。供應鏈中減少前置時間以及聯合存貨成本是關鍵的重要議題。再加上,之前大多數的研究並沒有考慮到時間價值的影響。因此,我們發展出一套考慮到了趕工成本以與時間價值之整合存貨模型,以解決現實存貨問題。為了滿足存貨模型中現實的問題,我們運用精簡距離法求解利率。本篇論文的目的是要最小化模糊利率下之整合存貨模型的總期望成本的現值。因此,我們建立了一套運算法則來決定在求解過程當中的最佳訂購量、前置時間長度、與賣方到買方的運送數量。在求解過程中我們也提供案例來做說明。

並列摘要


In the present day, inventory policy is an important part of the supply chain management, the associated inventory cost always has an influence on supply chain. due to the highly competitive environment, we need to adopt a suitable inventory policy to enhance the benefits of supply chain. Reducing lead time and the associated inventory cost is critically important issues in the supply chain. And, most previous studies did not consider that effect of time value. Hence, we develop an integrated inventory model with crashing cost and add the time value factor to solve real inventory problems, in order to meet the real situation in inventory problems, we also use the signed distance, a ranking approach for fuzzy numbers to estimate the interest rate. The purpose of this paper is to minimize the present value of the joint expected total cost on the fuzzy interest rate inventory model. Thus, we establish an algorithm to determine the optimal order quantity, the length of lead time and the number of lots which are delivered from the vendor to the buyer in the solution procedure. And a numerical example also provided here to illustrate the solution procedure.

參考文獻


J. Wikner, M. M.Naim, and M. Rudberg (2007), Exploiting the Order Book for Mass Customized Manufacturing Control Systems With Capacity Limitations, IEEE Transactions on Engineering Management, 54 (1) 145-155.
Banerjee (1986), A joint economic lot size model for purchaser and vendor, Decision Sciences, 17, 292-311.
Lu (1995), A one-vendor multi-buyer integrated inventory model, European Journal of Operational Research, 81, 312-323.
R.M. Hill (1997), The single-vendor single-buyer integrated production-inventory model with a generalized policy, European Journal of Operational Research, 97, 493-499.
J.C.H. Pan, J.S. Yang (2002), A study of an integrated inventory with controllable lead time, International Journal of Production Research, 40 (5) 1263-1273.

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