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題 名 | 生產率與存貨水準有關且需求率為價格的函數之退化性產品的生產存貨模式=An Economic Production Lot Size Inventory Model Deterioration Items with Stock-dependent Production and Price-dependent Demand |
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作 者 | 歐陽良裕; 楊志德; | 書刊名 | 管理研究學報 |
卷 期 | 4:2 2004.07[民93.07] |
頁 次 | 頁311-335 |
分類號 | 494.578 |
關鍵詞 | 退化性產品; 經濟生產批量存貨模式; 需求與價格有關; 部分欠撥; Deteriorating items; EPLS model; Price-dependent demand rate; Partial backordering; |
語 文 | 中文(Chinese) |
中文摘要 | 在存貨系統中,產品退化是很普遍的現象,因此銷售商通常會儲存較少數量的產品,如此,便容易造成缺貨。當缺貨發生時,可能有部分顧客願意等候欠撥,而部分會轉向其他銷售商購買,時便造成銷售損失,而存貨模式中,一面生產一面銷售的模式稱之為經濟生產批量存貨模式(economic production lost size model,EPLS model)。傳統的EPLS模式中所考慮的假設情況為固定需求率及固定生產率。但商口的需求並非是固定不變的,大多數的商品,需求率與產品的價格關係密切。另一方面,生產率也可能會因現有存貨水準的增減而變化或受到市場的需求影響而改變。 本文考慮一個生產率與存貨水準有關,且需求率與銷售價格有關、允許缺貨(假設缺貨期間發生在訂購週期之前段,且缺貨數量為部分欠撥)之退化性產品的生產存貨模型。其目的在決定一個生產週期內不同階段的期間長度以及產品的銷售價格,使得單位時間銷售淨收益為極大,以提供決策者擬定生產週期及定價策略的參考。首先,我們用數理方法建立以單位時間銷售淨收益為目標函數的數學模式,並利用傳統的擇優法去尋求最佳解,接著舉出一個數值範例來說此模型之求解過程,最後再對此模型作敏感度分析。 |
英文摘要 | Perishability is a common phenomenon in the inventory systems. The sellers usually keep fewer capacities so that it causes the stock shortage easily. When the shortages occur, some customers are willing to wait for backorder and others would turn to buy from other sellers. At this time, it will bring that loss of sales for sellers. Manufacturing and selling products simultaneously is called the economic production lot size model (EPLS model) in the inventory model. In the traditional EPLS model, it is often assumed that the demand and production rate are constants. In practice, demand rate always varies linearly with price. In the other hand, the production rate may be influenced by the on-hand inventory or the demand. In this study, inventory models are developed for deteriorating items with stock-dependent production, price-dependent demand rate and partial backordering, in which the rate of deterioration is assumed to be constant. In addition, the shortages are partial backordering, and assuming the backordering rate to be constant. Our purpose is to determinate the different time period of the inventory cycle and the selling price of product that maximize net selling revenue in order to provide the decision-maker to make production cycle and pricing strategy. The optimal solution procedures for the present problems are provided. Numerical examples are added to illustrate the results, and the sensitivity analysis of the optimal solution with respect with respect to parameters of the systems is also carried out for understanding how parameters changes influence the optimal solution. |
本系統中英文摘要資訊取自各篇刊載內容。