由於現今是一個充分講求生產效率的工業社會，因此廠商為了能在第一時間搶得商機，大都會藉由開發自動化生產系統以提升本身在市場上的競爭力。然而，要讓自動化製程產生效益，就得從提升生產系統可靠度與訂定完善產品檢測計畫兩方面著手。在生產的過程中，生產系統會隨著使用方式與使用年限等因素而產生退化，並使得產品瑕疵率提高，倘若此時又沒有一套完善的產品檢測計畫來為產品品質把關，將會使得製造商的生產成本與售後保固成本增加。此外，產品的高瑕疵率也將會影響消費者的購買意願，進而損及廠商的商譽與生機。因此，本研究在假設生產系統的衰退情形服從較符合實際現況之雙參數韋伯分配，並運用負二項分配的性質，訂定出一個合理的產品檢測計畫。也就是在每個生產週期結束後，若系統檢查為不可控制狀態(out of control)就開始對產品進行檢測，檢測方式則是從該批量最後生產之產品依序逆向進行檢測，直到所設定之最適檢測良品數出現為止，這也就是本研究之決策變數。並在後續應用分析中，沿用相關專家數據進行數值分析與敏感度分析，以對模式進行探討。此方法不但可以使得製造商在成本的掌控上能更加準確，也可藉此提升廠商自身的信譽，進而讓消費者對商品感到有保障，以達到促銷產品的效果，最終使得製造商達到兼顧成本最小化與產品品質的最終目標。

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參考文獻

楊宗豫，民84，「保證策略之風險分析-不可維修產品的比較研究」，國立台灣工業技術學院管理技術研究所工業管理學程碩士論文。

Bulgren, W. and Hewette, J., (1973), “ Double sample test for hypotheses about the mean of an Exponential distribution,” Technometrics, 15, 187-190.

Blischke, W.R. and Scheuer, E.M., (1975), “ Calculation of the cost of warranty policies as a function of estimated life distribution,” Naval Research Logistics, 22, 681-696.

Blischke, W.R. and Scheuer, E.M., (1981), “ Application of renewal theory in analysis of free-replacement warranty,” Naval Research Logistics, 28, 193-205.

Braglia, M., (1995), “ Influence of the Limited Service Capacity of the Inspection Station on the Control Policy of an Automatized Production System,” International Transactions in Operational Research, 2(3),273-285.

Ben-Daya, M. and Hariga, M., (2000), “ Economic lot scheduling problem with imperfect production processes,” Journal of the Operational Research Society, 51, 875-881.

Ben-Daya, M., (2002), “ The economic production lot-sizing problem with imperfect production processes and imperfect maintenance,” International Journal of Production Economics, 76, 257-264.

Chen, J.C., Yao, C.C. and Zheng, S., (1998), “ Quality Control for Products Supplied with Warranty,” Operations Research, 46(1), 107-115.

Chung, K.J. and Hou, K.L., (2003), “ An optimal production run time with imperfect production processes and allowable shortages,” Computers & Operations Research, 30, 483-490.
Djamaludin, I., Wilson, R.J. and Murtyh, D.N.P., (1995), “ Lot Sizing and Testing for Items with Uncertain Quality,” Mathematical and Computer Modelling, 22, 35-44.

Eliashberg, J., Singpurwalla, N.D. and Wilson, S.P., (1997), “ Calculating the reserve for a time and usage indexed warranty,” Management Science, 43(7), 966-975.

Fairbanks, K., (1988), “ A two stage life test for the exponential parameter,” Technometrics, 30, 175-180.

Fertig, K.W. and Mann, N.R., (1980), “ Life-test sampling plans for two-parameter Weibull population,” Technometrics, 22, 165-177.

Frees, W.W. and Nam, S.H., (1988), “ Approximating expected warranty cost,” Management Science, 22, 1381-1390.

Harter, H.L. and Moore, A.H., (1976), “ An Evaluation of Exponential and Weibull Teat Plans,” IEEE Transactions on Reliability, 25(2), 100-104.

Hisada, K. and Arizino, I., (2002), “ Reliability Tests for Weibull Distribution With Varying Shape-Parameter, Based on Complete Data,” IEEE Transactions on Reliability, 51(3), 331-336.

Hong, J.D., (1997), “ Optimal production cycles, procurement schedules, and joint investment in an imperfect production system,” European Journal of Operational Research, 100, 413-428.

Hussain, A.Z.M.O. and Murthy, D.N.P., (2003), “ Warranty and Optimal Reliability Improvement through Product Development,” Mathematical and Computer Modelling, 38, 1211-1217.

Hsu, L.F. and Kuo, S., (1995), “ Design of optimal maintenance policies based on on-line sampling plans,” European Journal of Operational Research, 86, 345-357.

Iskandar, B.P. and Murthy, D.N.P., (2003), “Repair-Replace Strategies for Two-Dimensional Warranty Policies,” Mathematical and Computer Modelling, 38, 1233-1241.

Kar, T.R. and Nachlas, J.A., (1997), “ Coordinated warranty & burn-in strategies,” IEEE Transactions on Reliability, 46(4), 512-518.

Kim, B., (1998), “ Contingency rules to control a production process subject to a single assignable cause,” The International Journal of Quality & Reliability Management, 15( 7), 679-693 .

Kim, H.G. and Rao, B.M., (2000), “ Expected warranty cost of two-attribute free-replacement warranties based on a bivariate exponential distribution,” Computers & Industrial Engineering, 38, 425-434.

Lawless, J.F., (1982), Statistical Models and Methods for Life Time Data, John Wiley and Sons, New York

Lee, E.T., (1992), Statistical Methods for Survival Data Analysis , John Wiley and Sons, New York

Lin, C.S., (1999), “ Integrated Production-Inventory Models with Imperfect Production Processes and a Limited Capacity for Raw Materials,” Mathematical and Computer Modelling, 29, 81-89.

Lin, C.S., Chen, C.H. and Kroll, D.E., (2003), “ Integrated production-inventory models for imperfect production processes under inspection schedules,” Computers & Industrial Engineering, 44, 633-650.

Mamer, J.W., (1987), “ Discount and per unit costs of product warranty,” Management Science, 33(7), 916-930.

Menke, W.W., (1969), “ Determination of Warranty Reserves,” Management Science, 15, 542-549.
Moon, I., Giri, B.C. and Choi, K., (2002), “ Economic lot scheduling problem with imperfect production processes and setup time,” Journal of the Operational Research Society, 53, 620-629.

Murthy, D.N.P. and Blischke, W.R., (2000), “ Strategic warranty management: A life-cycle approach,” IEEE Transactions on Engineering Management, 47(1), 40-54.

Miller, R.G., (1981), Survival Analysis, John Wiley and Sons, New York

Mi, J., (1999), “ Comparisons of renewable warranties,” Naval Research Logistics, 46(1), 91-106.

Monga, A. and Zuo, M.J., (1998), “ Optimal system design considering maintenance and warranty,” Computers and Operations Research, 25(9), 691-705.

Murthy, D.N.P. and Kumar, K.R., (2000), “ Total product quality,” International Journal of Production Economics, 67, 253-267.

Nguyen, D.G. and Murthy, D.N.P., (1984), “ Cost analysis of warranty policies,” Naval Research Logistics, 31, 525-541.

Sung, C.S. and Ock, Y.S., (1992), “ Optimal Production Policy for a Single-Product Single-Machine Problem with Intermediate Machine Inspection Allowed,” International Journal of Production Economics, 28(1), 85-94.

Thomas, M.U. and Rao, S.S., (1999), “ Warranty Economic Decision Models: A Summary and Some Suggested Directions for Future research,” Operation Research, 47(6), 807-820.

Tseng, S.T., Yeh, R.H. and Ho, W.T., (1998), “Imperfect maintenance policies for deteriorating production systems,” International Journal of Production Economics, 55,191-201.

Vintr, Z., (1999), “ Optimization of reliability requirements from manufacturer's point of view,” Annual Reliability And Maintainability Symposium, 183-189.

Wang, C.H. and Sheu, S.H., (2000), “ Fast Approach to the Optimal Production/PM Policy,” Computers and Mathematics with Applications, 40, 1297-1314.

Wang, C.H. and Sheu, S.H., (2001) “ Simultaneous determination of the optimal production–inventory and product inspection policies for a deteriorating production system,” Computers & Operations Research, 28, 1093-1110.

Wang, C.H. and Sheu, S.H., (2003a), “ Optimal lot sizing for products sold under free-repair warranty,” European Journal of Operational Research, 149, 131-141.

Wang, C.H. and Sheu, S.H., (2003b), “ Determining the optimal production–maintenance policy with inspection errors using a Markov chain,” Computers & Operations Research, 30, 1-17.

Wang, C.H., (2004), “ The impact of a free-repair warranty policy on EMQ model for imperfect production systems,” Computers & Operations Research, 31, 2021-2035.

Yeh, R.H., Ho, W.T. and Tseng, S.T., (2000), “ Optimal production run length for products sold with warranty,” European Journal of Operational Research, 120,575-582.

Yeh, R.H. and Lo, H.C., (2001), “ Optimal preventive-maintenance warranty policy for repairable products,” European Journal of Operational Research, 134, 59-69.

Yun, W.Y., Lee, Y.W. and Ferreira, L., (2002), “ Optimal burn-in time under cumulative free replacement warranty,” Reliability Engineering and System Safety, 78, 93-100.

Zuo, M.J., Liu, B. and Murthy, D.N.P., (2000), “ Replacement-repair policy for multi-state deteriorating products under warranty,” European Journal of Operational Research, 123, 519-530.