{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T11:41:12Z","timestamp":1769168472188,"version":"3.49.0"},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2020,3,23]],"date-time":"2020-03-23T00:00:00Z","timestamp":1584921600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,3,23]],"date-time":"2020-03-23T00:00:00Z","timestamp":1584921600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100004663","name":"Ministry of Science and Technology, Taiwan","doi-asserted-by":"publisher","award":["MOST 108-2218-E-025-003-"],"award-info":[{"award-number":["MOST 108-2218-E-025-003-"]}],"id":[{"id":"10.13039\/501100004663","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2022,5]]},"DOI":"10.1007\/s10479-020-03578-9","type":"journal-article","created":{"date-parts":[[2020,3,23]],"date-time":"2020-03-23T07:02:28Z","timestamp":1584946948000},"page":"87-98","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Fuzzy testing model for the lifetime performance of products under consideration with exponential distribution"],"prefix":"10.1007","volume":"312","author":[{"given":"Kuen-Suan","family":"Chen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8159-3538","authenticated-orcid":false,"given":"Tsang-Chuan","family":"Chang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,3,23]]},"reference":[{"key":"3578_CR1","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1016\/j.cie.2018.12.037","volume":"128","author":"GJ Besseris","year":"2019","unstructured":"Besseris, G. J. (2019). Evaluation of robust scale estimators for modified Weibull process capability indices and their bootstrap confidence intervals. Computers & Industrial Engineering, 128, 135\u2013149.","journal-title":"Computers & Industrial Engineering"},{"issue":"7","key":"3578_CR2","doi-asserted-by":"publisher","first-page":"512","DOI":"10.1007\/s00500-004-0368-5","volume":"9","author":"JJ Buckley","year":"2005","unstructured":"Buckley, J. J. (2005). Fuzzy statistics: hypothesis testing. Soft Computing, 9(7), 512\u2013518.","journal-title":"Soft Computing"},{"issue":"1","key":"3578_CR3","doi-asserted-by":"publisher","first-page":"196","DOI":"10.1520\/JTE20130054","volume":"42","author":"TC Chang","year":"2014","unstructured":"Chang, T. C., Wang, K. J., & Chen, K. S. (2014). Sputtering process assessment of ITO film for multiple quality characteristics with one-sided and two-sided specifications. Journal of Testing and Evaluation, 42(1), 196\u2013203.","journal-title":"Journal of Testing and Evaluation"},{"key":"3578_CR4","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-019-03242-x","author":"KS Chen","year":"2019","unstructured":"Chen, K. S. (2019). Fuzzy testing of operating performance index based on confidence intervals. Annals of Operations Research. https:\/\/doi.org\/10.1007\/s10479-019-03242-x.","journal-title":"Annals of Operations Research"},{"issue":"3","key":"3578_CR5","doi-asserted-by":"publisher","first-page":"1950015","DOI":"10.1142\/S0218539319500153","volume":"26","author":"KS Chen","year":"2019","unstructured":"Chen, K. S., Chang, T. C., & Lin, Y. T. (2019). Developing an outsourcing partner selection model for process with two-sided specification using capability index and manufacturing time performance index. International Journal of Reliability, Quality and Safety Engineering, 26(3), 1950015.","journal-title":"International Journal of Reliability, Quality and Safety Engineering"},{"issue":"8","key":"3578_CR6","doi-asserted-by":"publisher","first-page":"623","DOI":"10.1007\/s001700200068","volume":"19","author":"KS Chen","year":"2002","unstructured":"Chen, K. S., Chen, S. C., & Li, R. K. (2002). Process quality analysis of products. International Journal of Advanced Manufacturing Technology, 19(8), 623\u2013628.","journal-title":"International Journal of Advanced Manufacturing Technology"},{"issue":"17","key":"3578_CR7","doi-asserted-by":"publisher","first-page":"4963","DOI":"10.1080\/00207543.2017.1282644","volume":"55","author":"KS Chen","year":"2017","unstructured":"Chen, K. S., Wang, K. J., & Chang, T. C. (2017). A novel approach to deriving the lower confidence limit of indices Cpu, Cpl, and Cpk in assessing process capability. International Journal of Production Research, 55(17), 4963\u20134981.","journal-title":"International Journal of Production Research"},{"key":"3578_CR8","doi-asserted-by":"publisher","first-page":"737","DOI":"10.1016\/j.cam.2018.03.034","volume":"343","author":"KS Chen","year":"2018","unstructured":"Chen, K. S., & Yang, C. M. (2018). Developing a performance index with a Poisson process and an exponential distribution for operations management and continuous improvement. Journal of Computational and Applied Mathematics, 343, 737\u2013747.","journal-title":"Journal of Computational and Applied Mathematics"},{"issue":"3","key":"3578_CR9","doi-asserted-by":"publisher","first-page":"162","DOI":"10.1080\/00224065.1988.11979102","volume":"20","author":"LK Chan","year":"1988","unstructured":"Chan, L. K., Cheng, S. W., & Spiring, F. A. (1988). A new measure of process capability Cpm. Journal of Quality Technology, 20(3), 162\u2013175.","journal-title":"Journal of Quality Technology"},{"issue":"1\u20134","key":"3578_CR10","doi-asserted-by":"publisher","first-page":"1257","DOI":"10.1007\/s00170-017-0591-8","volume":"93","author":"D de Felipe","year":"2017","unstructured":"de Felipe, D., & Benedito, E. (2017). Monitoring high complex production processes using process capability indices. International Journal of Advanced Manufacturing Technology, 93(1\u20134), 1257\u20131267.","journal-title":"International Journal of Advanced Manufacturing Technology"},{"issue":"6","key":"3578_CR11","doi-asserted-by":"publisher","first-page":"2535","DOI":"10.1007\/s10845-018-1418-7","volume":"30","author":"V Garc\u00eda","year":"2019","unstructured":"Garc\u00eda, V., S\u00e1nchez, J. S., Rodr\u00edguez-Pic\u00f3n, L. A., M\u00e9ndez-Gonz\u00e1lez, L. C., & Ochoa-Dom\u00ednguez, H. J. (2019). Using regression models for predicting the product quality in a tubing extrusion process. Journal of Intelligent Manufacturing, 30(6), 2535\u20132544.","journal-title":"Journal of Intelligent Manufacturing"},{"issue":"3","key":"3578_CR12","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1002\/qre.1602","volume":"31","author":"K Gu","year":"2015","unstructured":"Gu, K., Jia, X., Liu, H., & You, H. (2015). Yield-based capability index for evaluating the performance of multivariate manufacturing process. Quality and Reliability Engineering International, 31(3), 419\u2013430.","journal-title":"Quality and Reliability Engineering International"},{"key":"3578_CR13","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-019-03447-0","author":"J Huang","year":"2019","unstructured":"Huang, J., Liu, H. C., Duan, C. Y., & Song, M. S. (2019). An improved reliability model for FMEA using probabilistic linguistic term sets and TODIM method. Annals of Operations Research.  https:\/\/doi.org\/10.1007\/s10479-019-03447-0.","journal-title":"Annals of Operations Research"},{"issue":"1","key":"3578_CR14","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1080\/00224065.1986.11978984","volume":"18","author":"VE Kane","year":"1986","unstructured":"Kane, V. E. (1986). Process capability indices. Journal of Quality Technology, 18(1), 41\u201352.","journal-title":"Journal of Quality Technology"},{"key":"3578_CR15","volume-title":"Statistical models and methods for lifetime data","author":"JF Lawless","year":"2003","unstructured":"Lawless, J. F. (2003). Statistical models and methods for lifetime data (2nd ed.). New York: Wiley.","edition":"2"},{"issue":"5","key":"3578_CR16","doi-asserted-by":"publisher","first-page":"637","DOI":"10.1057\/palgrave.jors.2602601","volume":"60","author":"L Lakhal","year":"2009","unstructured":"Lakhal, L. (2009). Impact of quality on competitive advantage and organizational performance. Journal of the Operational Research Society, 60(5), 637\u2013645.","journal-title":"Journal of the Operational Research Society"},{"issue":"1\u20132","key":"3578_CR17","doi-asserted-by":"publisher","first-page":"355","DOI":"10.1007\/s10479-015-2064-5","volume":"238","author":"AHI Lee","year":"2016","unstructured":"Lee, A. H. I., Wu, C. W., & Chen, Y. W. (2016). A modified variables repetitive group sampling plan with the consideration of preceding lots information. Annals of Operations Research, 238(1\u20132), 355\u2013373.","journal-title":"Annals of Operations Research"},{"issue":"1","key":"3578_CR18","doi-asserted-by":"publisher","first-page":"296","DOI":"10.1109\/TR.2013.2241197","volume":"62","author":"HM Lee","year":"2013","unstructured":"Lee, H. M., Wu, J. W., & Lei, C. L. (2013a). Assessing the lifetime performance index of exponential products with step-stress accelerated life-testing data. IEEE Transactions on Reliability, 62(1), 296\u2013304.","journal-title":"IEEE Transactions on Reliability"},{"issue":"4","key":"3578_CR19","doi-asserted-by":"publisher","first-page":"1755","DOI":"10.3233\/IFS-141463","volume":"28","author":"WC Lee","year":"2015","unstructured":"Lee, W. C., Hong, C. W., & Wu, J. W. (2015). Computational procedure of performance assessment of lifetime index of normal products with fuzzy data under the type II right censored sampling plan. Journal of Intelligent and Fuzzy Systems, 28(4), 1755\u20131773.","journal-title":"Journal of Intelligent and Fuzzy Systems"},{"issue":"3","key":"3578_CR20","first-page":"275","volume":"20","author":"WC Lee","year":"2013","unstructured":"Lee, W. C., Wu, J. W., Hong, C. W., Ho, K. C., & Lin, Y. C. (2013b). Performance evaluation for lifetime performance index of products for the generalized exponential distribution with upper record values. Journal of Quality, 20(3), 275\u2013304.","journal-title":"Journal of Quality"},{"issue":"1","key":"3578_CR21","doi-asserted-by":"publisher","first-page":"393","DOI":"10.1016\/j.ejor.2017.12.032","volume":"267","author":"A Lepore","year":"2018","unstructured":"Lepore, A., Palumbo, B., & Castagliola, P. (2018). A note on decision making method for product acceptance based on process capability indices Cpk and Cpmk. European Journal of Operational Research, 267(1), 393\u2013398.","journal-title":"European Journal of Operational Research"},{"key":"3578_CR22","volume-title":"Introduction to statistical quality control","author":"DC Montgomery","year":"1985","unstructured":"Montgomery, D. C. (1985). Introduction to statistical quality control. New York: Wiley."},{"key":"3578_CR23","doi-asserted-by":"publisher","first-page":"58","DOI":"10.1016\/j.future.2018.10.011","volume":"93","author":"Y Pan","year":"2019","unstructured":"Pan, Y., Li, Y., Zhang, H., & Xu, Y. (2019). Lifetime-aware FTL to improve the lifetime and performance of solid-state drives. Future Generation Computer Systems, 93, 58\u201367.","journal-title":"Future Generation Computer Systems"},{"issue":"4","key":"3578_CR24","doi-asserted-by":"publisher","first-page":"216","DOI":"10.1080\/00224065.1992.11979403","volume":"24","author":"WL Pearn","year":"1992","unstructured":"Pearn, W. L., Kotz, S., & Johnson, N. L. (1992). Distributional and inferential properties of process capability indices. Journal of Quality Technology, 24(4), 216\u2013231.","journal-title":"Journal of Quality Technology"},{"issue":"3","key":"3578_CR25","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1080\/00401706.1963.10490105","volume":"15","author":"F Proschan","year":"1963","unstructured":"Proschan, F. (1963). Theoretical explanation of observed decreasing failure rate. Technometrics, 15(3), 375\u2013383.","journal-title":"Technometrics"},{"issue":"7","key":"3578_CR26","doi-asserted-by":"publisher","first-page":"812","DOI":"10.1108\/02656710210434757","volume":"19","author":"LI Tong","year":"2002","unstructured":"Tong, L. I., Chen, K. S., & Chen, H. T. (2002). Statistical testing for assessing the performance of lifetime index of electronic components with exponential distribution. International Journal of Quality & Reliability Management, 19(7), 812\u2013824.","journal-title":"International Journal of Quality & Reliability Management"},{"issue":"4","key":"3578_CR27","doi-asserted-by":"publisher","first-page":"1318","DOI":"10.1080\/03610918.2013.827710","volume":"45","author":"CC Wu","year":"2016","unstructured":"Wu, C. C., Chen, L. C., & Chen, Y. J. (2016). Statistical inferences for the lifetime performance index of the products with the Gompertz distribution under censored samples. Communications in Statistics: Simulation and Computation, 45(4), 1318\u20131336.","journal-title":"Communications in Statistics: Simulation and Computation"},{"key":"3578_CR28","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1016\/j.apm.2017.10.027","volume":"55","author":"CW Wu","year":"2018","unstructured":"Wu, C. W., Shu, M. H., & Chang, Y. N. (2018). Variable-sampling plans based on lifetime-performance index under exponential distribution with censoring and its extensions. Applied Mathematical Modelling, 55, 81\u201393.","journal-title":"Applied Mathematical Modelling"},{"issue":"21","key":"3578_CR29","doi-asserted-by":"publisher","first-page":"6687","DOI":"10.1080\/00207543.2019.1567951","volume":"57","author":"MF Wu","year":"2019","unstructured":"Wu, M. F., Chen, H. Y., Chang, T. C., & Wu, C. F. (2019). Quality evaluation of internal cylindrical grinding process with multiple quality characteristics for gear products. International Journal of Production Research, 57(21), 6687\u20136701.","journal-title":"International Journal of Production Research"},{"issue":"10","key":"3578_CR30","doi-asserted-by":"publisher","first-page":"2106","DOI":"10.1080\/00949655.2013.783581","volume":"84","author":"SF Wu","year":"2014","unstructured":"Wu, S. F., & Chiu, C. J. (2014). Computational testing algorithmic procedure of assessment for lifetime performance index of products with two-parameter exponential distribution based on the multiply type II censored sample. Journal of Statistical Computation and Simulation, 84(10), 2106\u20132122.","journal-title":"Journal of Statistical Computation and Simulation"},{"key":"3578_CR31","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1016\/j.cam.2018.10.044","volume":"351","author":"SF Wu","year":"2019","unstructured":"Wu, S. F., & Hsieh, Y. T. (2019). The assessment on the lifetime performance index of products with Gompertz distribution based on the progressive type I interval censored sample. Journal of Computational and Applied Mathematics, 351, 66\u201376.","journal-title":"Journal of Computational and Applied Mathematics"},{"key":"3578_CR32","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1016\/j.matcom.2015.06.013","volume":"120","author":"SF Wu","year":"2016","unstructured":"Wu, S. F., & Lin, Y. P. (2016). Computational testing algorithmic procedure of assessment for lifetime performance index of products with one-parameter exponential distribution under progressive type I interval censoring. Mathematics and Computers in Simulation, 120, 79\u201390.","journal-title":"Mathematics and Computers in Simulation"},{"key":"3578_CR33","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-019-03203-4","author":"J Zhou","year":"2019","unstructured":"Zhou, J., Huang, H. Z., Li, Y. F., & Guo, J. (2019). A framework for fatigue reliability analysis of high-pressure turbine blades. Annals of Operations Research. https:\/\/doi.org\/10.1007\/s10479-019-03203-4.","journal-title":"Annals of Operations Research"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-020-03578-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10479-020-03578-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-020-03578-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,11]],"date-time":"2022-05-11T17:21:29Z","timestamp":1652289689000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10479-020-03578-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,3,23]]},"references-count":33,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,5]]}},"alternative-id":["3578"],"URL":"https:\/\/doi.org\/10.1007\/s10479-020-03578-9","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,3,23]]},"assertion":[{"value":"23 March 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}