{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T23:14:43Z","timestamp":1774566883761,"version":"3.50.1"},"reference-count":45,"publisher":"Springer Science and Business Media LLC","issue":"16","license":[{"start":{"date-parts":[[2021,6,1]],"date-time":"2021-06-01T00:00:00Z","timestamp":1622505600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,6,1]],"date-time":"2021-06-01T00:00:00Z","timestamp":1622505600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2021,8]]},"DOI":"10.1007\/s00500-021-05854-7","type":"journal-article","created":{"date-parts":[[2021,6,1]],"date-time":"2021-06-01T15:25:49Z","timestamp":1622561149000},"page":"11087-11100","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["An economic-statistical design of simple linear profiles with multiple assignable causes using a combination of MOPSO and RSM"],"prefix":"10.1007","volume":"25","author":[{"given":"M. J.","family":"Ershadi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. M.","family":"Ershadi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Haghighi Naeini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. T. A.","family":"Niaki","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,6,1]]},"reference":[{"issue":"1","key":"5854_CR1","doi-asserted-by":"publisher","first-page":"661","DOI":"10.1007\/s00180-020-01019-6","volume":"36","author":"A Ahmadi-Javid","year":"2021","unstructured":"Ahmadi-Javid A, Ebadi M (2021) Economic design of memory-type control charts: the fallacy of the formula proposed by Lorenzen and Vance (1986). Comput Stat 36(1):661\u2013690","journal-title":"Comput Stat"},{"issue":"9\u201312","key":"5854_CR2","doi-asserted-by":"publisher","first-page":"1889","DOI":"10.1007\/s00170-013-5412-0","volume":"70","author":"I Ahmed","year":"2014","unstructured":"Ahmed I, Sultana I, Paul SK, Azeem A (2014) Performance evaluation of control chart for multiple assignable causes using genetic algorithm. Int J Adv Manuf Technol 70(9\u201312):1889\u20131902","journal-title":"Int J Adv Manuf Technol"},{"issue":"4","key":"5854_CR3","doi-asserted-by":"publisher","first-page":"332","DOI":"10.1504\/IJMCDM.2014.066872","volume":"4","author":"A Amiri","year":"2014","unstructured":"Amiri A, Bashiri M, Maleki MR, Moghaddam AS (2014) Multi-objective Markov-based economic-statistical design of EWMA control chart using NSGA-II and MOGA algorithms. Int J Multicrit Decision Mak 4(4):332\u2013347","journal-title":"Int J Multicrit Decision Mak"},{"issue":"9\u201312","key":"5854_CR4","doi-asserted-by":"publisher","first-page":"1339","DOI":"10.1007\/s00170-012-4260-7","volume":"65","author":"F Barzinpour","year":"2013","unstructured":"Barzinpour F, Noorossana R, Niaki STA, Ershadi MJ (2013) A hybrid Nelder-Mead simplex and PSO approach on economic and economic-statistical designs of MEWMA control charts. Int J Adv Manuf Technol 65(9\u201312):1339\u20131348","journal-title":"Int J Adv Manuf Technol"},{"issue":"1","key":"5854_CR5","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1016\/S0925-5273(01)00196-7","volume":"77","author":"YS Chen","year":"2002","unstructured":"Chen YS, Yang YM (2002) Economic design of x-control charts with Weibull in-control times when there are multiple assignable causes. Int J Prod Econ 77(1):17\u201323","journal-title":"Int J Prod Econ"},{"issue":"2","key":"5854_CR6","doi-asserted-by":"publisher","first-page":"350","DOI":"10.1016\/0377-2217(94)90315-8","volume":"72","author":"KJ Chung","year":"1994","unstructured":"Chung KJ (1994) An algorithm for computing the economically optimal X-control chart for a process with multiple assignable causes. Eur J Oper Res 72(2):350\u2013363","journal-title":"Eur J Oper Res"},{"issue":"274","key":"5854_CR7","first-page":"228","volume":"51","author":"AJ Duncan","year":"1956","unstructured":"Duncan AJ (1956) The economic design of X charts used to maintain current control of a process. J Am Stat Assoc 51(274):228\u2013242","journal-title":"J Am Stat Assoc"},{"issue":"4","key":"5854_CR8","doi-asserted-by":"publisher","first-page":"537","DOI":"10.1504\/IJPQM.2016.077781","volume":"18","author":"MJ Ershadi","year":"2016","unstructured":"Ershadi MJ, Noorossana R, Niaki STA (2016) Economic design of phase II simple linear profiles with variable sample size. Int J Prod Quality Manag 18(4):537\u2013555. https:\/\/doi.org\/10.1504\/IJPQM.2016.077781","journal-title":"Int J Prod Quality Manag"},{"key":"5854_CR9","doi-asserted-by":"publisher","DOI":"10.1108\/F-08-2019-0083","author":"MM Ershadi","year":"2020","unstructured":"Ershadi MM, Shams Shemirani H (2020) Simulation and optimization for improving performance of maintenance. Facilities. https:\/\/doi.org\/10.1108\/F-08-2019-0083","journal-title":"Facilities"},{"issue":"1","key":"5854_CR10","doi-asserted-by":"publisher","first-page":"99","DOI":"10.22094\/joie.2019.580054.1607","volume":"13","author":"M Fazelimoghadam","year":"2020","unstructured":"Fazelimoghadam M, Ershadi M, Akhavan Niaki S (2020) An efficient economic-statistical design of simple linear profiles using a hybrid approach of data envelopment analysis, Taguchi loss function, and MOPSO. J Optim Ind Eng 13(1):99\u2013112. https:\/\/doi.org\/10.22094\/joie.2019.580054.1607","journal-title":"J Optim Ind Eng"},{"issue":"2","key":"5854_CR11","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1080\/00224065.1981.11980997","volume":"13","author":"IN Gibra","year":"1981","unstructured":"Gibra IN (1981) Economic design of attribute control charts for multiple assignable causes. J Qual Technol 13(2):93\u201399","journal-title":"J Qual Technol"},{"issue":"4","key":"5854_CR12","doi-asserted-by":"publisher","first-page":"418","DOI":"10.1080\/00224065.2000.11980027","volume":"32","author":"L Kang","year":"2000","unstructured":"Kang L, Albin SL (2000) On-line monitoring when the process yields a linear profile. J Qual Technol 32(4):418\u2013426","journal-title":"J Qual Technol"},{"issue":"2","key":"5854_CR13","doi-asserted-by":"publisher","first-page":"27","DOI":"10.22237\/jmasm\/1604189520","volume":"18","author":"MA Khanday","year":"2020","unstructured":"Khanday MA, Singh JR (2020) Economic design of x\u0304 control chart under double EWMA. J Mod Appl Stat Methods 18(2):27","journal-title":"J Mod Appl Stat Methods"},{"issue":"6","key":"5854_CR14","doi-asserted-by":"publisher","first-page":"1860","DOI":"10.1080\/03610918.2018.1425442","volume":"48","author":"P Khosravi","year":"2019","unstructured":"Khosravi P, Amiri A (2019) Self-Starting control charts for monitoring logistic regression profiles. Commun Stat Simul Comput 48(6):1860\u20131871","journal-title":"Commun Stat Simul Comput"},{"issue":"3","key":"5854_CR15","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1080\/00224065.2003.11980225","volume":"35","author":"K Kim","year":"2003","unstructured":"Kim K, Mahmoud MA, Woodall WH (2003) On the monitoring of linear profiles. J Qual Technol 35(3):317\u2013328","journal-title":"J Qual Technol"},{"key":"5854_CR16","doi-asserted-by":"publisher","unstructured":"Koohi I, Groza VZ (2014) Optimizing particle swarm optimization algorithm. In: 2014 IEEE 27th Canadian conference on electrical and computer engineering (CCECE). IEEE, pp 1\u20135. https:\/\/doi.org\/10.1109\/CCECE.2014.6901057.","DOI":"10.1109\/CCECE.2014.6901057"},{"key":"5854_CR17","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1016\/j.jmsy.2019.12.001","volume":"54","author":"S Kumar","year":"2020","unstructured":"Kumar S, Manjrekar V, Singh V, Lad BK (2020) Integrated yet distributed operations planning approach: a next generation manufacturing planning system. J Manuf Syst 54:103\u2013122","journal-title":"J Manuf Syst"},{"issue":"4","key":"5854_CR18","doi-asserted-by":"publisher","first-page":"630","DOI":"10.1016\/j.cie.2010.07.011","volume":"59","author":"Z Li","year":"2010","unstructured":"Li Z, Wang Z (2010) An exponentially weighted moving average scheme with variable sampling intervals for monitoring linear profiles. Comput Ind Eng 59(4):630\u2013637","journal-title":"Comput Ind Eng"},{"issue":"4","key":"5854_CR19","doi-asserted-by":"publisher","first-page":"410","DOI":"10.1080\/00224065.2000.11980026","volume":"32","author":"K Linderman","year":"2000","unstructured":"Linderman K, Love TE (2000) Economic and economic statistical designs for MEWMA control charts. J Qual Technol 32(4):410\u2013417","journal-title":"J Qual Technol"},{"key":"5854_CR20","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1080\/00401706.1986.10488092","volume":"28","author":"TJ Lorenzen","year":"1986","unstructured":"Lorenzen TJ, Vance LC (1986) The economic design of control charts: a unified approach. Technometrics 28:3\u201310","journal-title":"Technometrics"},{"key":"5854_CR21","unstructured":"Malaki M, Akhavan NST, Ershadi MJ (2011) A comparative study of four evolutionary algorithms for economic and economic-statistical designs of MEWMA control charts"},{"key":"5854_CR22","doi-asserted-by":"publisher","unstructured":"Mariel P, Hoyos D, Meyerhoff J, Czajkowski M, Dekker T, Glenk K et al (2021) Experimental design. In: Environmental valuation with discrete choice experiments. Springer, Cham, pp 37\u201349. https:\/\/doi.org\/10.1007\/978-3-030-62669-3_3.","DOI":"10.1007\/978-3-030-62669-3_3"},{"key":"5854_CR23","unstructured":"Montgomery DC (2017) Design and analysis of experiments. Wiley"},{"key":"5854_CR24","doi-asserted-by":"publisher","DOI":"10.1002\/qre.2829","author":"SH Nassar","year":"2021","unstructured":"Nassar SH, Abdel-Salam ASG (2021) Semiparametric MEWMA for Phase II profile monitoring. Qual Reliab Eng Int. https:\/\/doi.org\/10.1002\/qre.2829","journal-title":"Qual Reliab Eng Int"},{"issue":"7","key":"5854_CR25","doi-asserted-by":"publisher","first-page":"2146","DOI":"10.1080\/00207543.2014.974850","volume":"53","author":"G Nenes","year":"2015","unstructured":"Nenes G, Tasias KA, Celano G (2015) A general model for the economic-statistical design of adaptive control charts for processes subject to multiple assignable causes. Int J Prod Res 53(7):2146\u20132164","journal-title":"Int J Prod Res"},{"key":"5854_CR26","unstructured":"Noorossana R, Amiri A, Vaghefi A, Roghanian E (2004) Monitoring quality characteristics using linear profile. In: Proceedings of the 3rd international industrial engineering conference, pp 246\u2013255. https:\/\/www.civilica.com\/Paper-IIEC03-IIEC03_022.html"},{"issue":"5","key":"5854_CR27","doi-asserted-by":"publisher","first-page":"645","DOI":"10.1002\/qre.1516","volume":"30","author":"R Noorossana","year":"2014","unstructured":"Noorossana R, Niaki STA, Ershadi MJ (2014) Economic and economic-statistical designs of phase II profile monitoring. Qual Reliab Eng Int 30(5):645\u2013655","journal-title":"Qual Reliab Eng Int"},{"issue":"2","key":"5854_CR28","doi-asserted-by":"publisher","first-page":"525","DOI":"10.1080\/03610918.2018.1563151","volume":"50","author":"S Piri","year":"2021","unstructured":"Piri S, Abdel-Salam ASG, Boone EL (2021) A wavelet approach for profile monitoring of Poisson distribution with application. Commun Stat Simul Comput 50(2):525\u2013536","journal-title":"Commun Stat Simul Comput"},{"key":"5854_CR29","doi-asserted-by":"publisher","DOI":"10.1080\/03610918.2019.1680692","author":"N Roshanbin","year":"2019","unstructured":"Roshanbin N, Ershadi MJ, Niaki STA (2019) Multi-objective economic-statistical design of simple linear profiles using a combination of NSGA-II, RSM, and TOPSIS. Commun Stat Simul Comput. https:\/\/doi.org\/10.1080\/03610918.2019.1680692","journal-title":"Commun Stat Simul Comput"},{"key":"5854_CR30","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1016\/j.jmsy.2016.11.003","volume":"42","author":"A Salmasnia","year":"2017","unstructured":"Salmasnia A, Abdzadeh B, Namdar M (2017) A joint design of production run length, maintenance policy and control chart with multiple assignable causes. J Manuf Syst 42:44\u201356","journal-title":"J Manuf Syst"},{"issue":"1","key":"5854_CR31","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1016\/j.ejor.2020.07.016","volume":"289","author":"Z Song","year":"2021","unstructured":"Song Z, Mukherjee A, Zhang J (2021) Some robust approaches based on copula for monitoring bivariate processes and component-wise assessment. Eur J Oper Res 289(1):177\u2013196","journal-title":"Eur J Oper Res"},{"key":"5854_CR32","doi-asserted-by":"crossref","unstructured":"Tasias KA, Nenes G (2019) Monitoring location and scale of multivariate processes subject to a multiplicity of assignable causes. Quality Technol Quant Manag 1\u201317","DOI":"10.1080\/16843703.2019.1702753"},{"issue":"11","key":"5854_CR33","doi-asserted-by":"publisher","first-page":"2001","DOI":"10.1080\/00207549008942848","volume":"28","author":"T-Y Koo","year":"1990","unstructured":"Koo T-Y, Case KE (1990) Economic design of X-bar control charts for use in monitoring continuous flow processes. Int J Prod Res 28(11):2001\u20132011. https:\/\/doi.org\/10.1080\/00207549008942848","journal-title":"Int J Prod Res"},{"issue":"11","key":"5854_CR34","doi-asserted-by":"publisher","first-page":"1834","DOI":"10.1080\/03610920802468707","volume":"38","author":"A Vaghefi","year":"2009","unstructured":"Vaghefi A, Tajbakhsh SD, Noorossana R (2009) Phase II monitoring of nonlinear profiles. Commun Stat Theory Methods 38(11):1834\u20131851","journal-title":"Commun Stat Theory Methods"},{"issue":"1","key":"5854_CR35","doi-asserted-by":"publisher","first-page":"118","DOI":"10.1080\/00224065.2002.11980134","volume":"34","author":"E Walker","year":"2002","unstructured":"Walker E, Wright SP (2002) Comparing curves using additive models. J Qual Technol 34(1):118\u2013129","journal-title":"J Qual Technol"},{"key":"5854_CR36","doi-asserted-by":"publisher","first-page":"328","DOI":"10.1016\/j.ins.2020.12.005","volume":"552","author":"J Wang","year":"2021","unstructured":"Wang J, Ma X, Xu Z, Zhan J (2021) Three-way multi-attribute decision making under hesitant fuzzy environments. Inf Sci 552:328\u2013351","journal-title":"Inf Sci"},{"key":"5854_CR37","doi-asserted-by":"publisher","first-page":"106031","DOI":"10.1016\/j.asoc.2019.106031","volume":"88","author":"Y Xue","year":"2020","unstructured":"Xue Y, Tang T, Pang W, Liu AX (2020) Self-adaptive parameter and strategy based particle swarm optimization for large-scale feature selection problems with multiple classifiers. Appl Soft Comput 88:106031","journal-title":"Appl Soft Comput"},{"issue":"5","key":"5854_CR38","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/3340848","volume":"13","author":"Y Xue","year":"2019","unstructured":"Xue Y, Xue B, Zhang M (2019) Self-adaptive particle swarm optimization for large-scale feature selection in classification. ACM Trans Knowl Discov Data (TKDD) 13(5):1\u201327","journal-title":"ACM Trans Knowl Discov Data (TKDD)"},{"issue":"1","key":"5854_CR39","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1080\/00207543.2011.571448","volume":"50","author":"WA Yang","year":"2012","unstructured":"Yang WA, Guo Y, Liao W (2012) Economic and statistical design of X-bar and S control charts using an improved multi-objective particle swarm optimisation algorithm. Int J Prod Res 50(1):97\u2013117","journal-title":"Int J Prod Res"},{"issue":"1","key":"5854_CR40","doi-asserted-by":"publisher","first-page":"110","DOI":"10.1016\/j.ijpe.2010.04.048","volume":"128","author":"YM Yang","year":"2010","unstructured":"Yang YM, Su CY, Pearn WL (2010) Economic design of x\u00af-control charts for continuous flow process with multiple assignable causes. Int J Prod Econ 128(1):110\u2013117","journal-title":"Int J Prod Econ"},{"key":"5854_CR41","doi-asserted-by":"publisher","first-page":"266","DOI":"10.1016\/j.ins.2020.07.030","volume":"544","author":"J Ye","year":"2021","unstructured":"Ye J, Zhan J, Ding W, Fujita H (2021) A novel fuzzy rough set model with fuzzy neighborhood operators. Inf Sci 544:266\u2013297","journal-title":"Inf Sci"},{"key":"5854_CR42","doi-asserted-by":"publisher","first-page":"362","DOI":"10.1016\/j.ins.2020.06.050","volume":"541","author":"J Ye","year":"2020","unstructured":"Ye J, Zhan J, Xu Z (2020) A novel decision-making approach based on three-way decisions in fuzzy information systems. Inf Sci 541:362\u2013390","journal-title":"Inf Sci"},{"issue":"3","key":"5854_CR43","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1080\/02664760500445541","volume":"33","author":"FJ Yu","year":"2006","unstructured":"Yu FJ, Hou JL (2006) Optimization of design parameters for control charts with multiple assignable causes. J Appl Stat 33(3):279\u2013290","journal-title":"J Appl Stat"},{"key":"5854_CR44","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2020.3007423","author":"J Zhan","year":"2020","unstructured":"Zhan J, Jiang H, Yao Y (2020) Three-way multi-attribute decision-making based on outranking relations. IEEE Trans Fuzzy Syst. https:\/\/doi.org\/10.1109\/TFUZZ.2020.3007423","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"5854_CR45","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2020.3001670","author":"K Zhang","year":"2020","unstructured":"Zhang K, Zhan J, Wu WZ (2020) On multi-criteria decision-making method based on a fuzzy rough set model with fuzzy \u03b1-neighborhoods. IEEE Trans Fuzzy Syst. https:\/\/doi.org\/10.1109\/TFUZZ.2020.3001670","journal-title":"IEEE Trans Fuzzy Syst"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-021-05854-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-021-05854-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-021-05854-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,12,5]],"date-time":"2022-12-05T19:13:32Z","timestamp":1670267612000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-021-05854-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6,1]]},"references-count":45,"journal-issue":{"issue":"16","published-print":{"date-parts":[[2021,8]]}},"alternative-id":["5854"],"URL":"https:\/\/doi.org\/10.1007\/s00500-021-05854-7","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,6,1]]},"assertion":[{"value":"29 April 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 June 2021","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"There is not any conflict of interest to declare by the authors.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human or animals participants performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Human and animals rights"}},{"value":"Informed consent was obtained from all individual participants included in the study. This statement is to certify that all authors have seen and approved the manuscript being submitted in Soft Computing journal. We warrant that the article is the authors\u2019 original work. We warrant that the article has not received prior publication and is not under consideration for publication elsewhere. On behalf of all co-authors, the corresponding author shall bear full responsibility for the submission. This research has not been submitted for publication nor has it been published in whole or in part elsewhere. All authors agree that author list is correct in its content and order.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Informed consent"}}]}}