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| Title: | 生產者與中間商利潤模式有量測誤差下規格之最適設計
Optimal Design of Specification Limits under Profit Models with Measurement Errors |
| Authors: | 林裕景 |
| Contributors: | 楊素芬
林裕景 |
| Keywords: | 量測誤差
完美的維修方案
低價格銷售方案
中間商
Measurement error
Perfect repair action
Sell low price action
Middleman |
| Date: | 2012 |
| Issue Date: | 2013-07-01 17:01:20 (UTC+8) |
| Abstract: | 測量誤差在品質控制中是一個重要的議題，所以在本研究中考慮生產者的儀器具有測量誤差。當生產者的儀器具測量誤差被考慮時，我們假設生產者可採取完全的檢驗計畫或製成的控管，以保持產品的質量。我們透過比較各自的利潤選擇一個較好的品質控制政策。在完整的檢查計劃，對於不合格品我們考慮兩種方案，分別為完美的維修與以較低的價格銷售。於最大化利潤下，我們比較這兩種方案的利潤，以確定採取何種方案對生產者而言利潤會較大。
在本文中，我們也考慮一個中間商的角色。我們假定中間商與生產者的規格界限是相同的；而中間人購買的產品可能來自於生產者採取完美的維修或生產者採取以較低的價格銷售。在最大化中間商的利潤下，我們決定了中間商的規格界限，買入和賣出的價格。我們也比較這兩種方案下中間商的利潤以找出中間商應購買何種方案的商品能使其利潤最大。
在我們的分析中，我們發現，在製程中符合單位時間小生產量、高維修成本，高的不合格品成本，及高的售價時，那麼生產者應採取製程管制，否則生產者應採取完整檢驗才會使生產者具有較大的利潤。當中間商的儀器包含測量誤差時，中間商應購買的產品為來自於生產者採取完美的維修。
Measurement error is an important issue in quality control, so in this study a producer instrument with measurement error is considered. When its instrument contains measurement error, we assume that a producer takes either complete inspection or on-line process control to maintain products quality. We then compare their respective profits to choose a better quality control policy. Also in the complete inspection plan we consider perfect repair and selling at a lower price are two actions for a producer to deal with nonconforming items. Under the maximizing profit model, we determine the optimal specification limits for the producer, and then compare the profit of these two actions to determine which action is better for producer to take.
In this article we also consider the act of a middleman. We assume that the specification limits of the middleman and producer are the same and the product that middleman bought may come from perfect repair action or selling at a lower price action. When maximizing the middleman’s profit, we determine the specification limits, buying and selling price of middleman, and we also compare the profit from these two actions to find out which action is better for the middleman.
In our analysis, we found that when process has a small production per unit time, a high repair cost, a high cost of nonconforming item, and a high sell price, then process control should be preferred by producer; otherwise the producer should take complete inspection. And to have a larger profit, middleman should buy products from producer who took the action of perfect repair when middleman’s instrument contains measurement error or middleman’s instrument contains no measurement error but producer’s instrument contains a small measurement error. |
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| Description: | 碩士
國立政治大學
統計研究所
100354014
101 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#G0100354014 |
| Data Type: | thesis |
| Appears in Collections: | [統計學系] 學位論文
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