{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T15:53:03Z","timestamp":1772553183442,"version":"3.50.1"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2015,5,3]],"date-time":"2015-05-03T00:00:00Z","timestamp":1430611200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2016,5]]},"DOI":"10.1007\/s00521-015-1910-3","type":"journal-article","created":{"date-parts":[[2015,5,2]],"date-time":"2015-05-02T00:57:06Z","timestamp":1430528226000},"page":"937-943","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":29,"title":["Single-machine scheduling with truncated sum-of-processing-times-based learning effect including proportional delivery times"],"prefix":"10.1007","volume":"27","author":[{"given":"Yu-Bin","family":"Wu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jian-Jun","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,5,3]]},"reference":[{"key":"1910_CR1","doi-asserted-by":"crossref","first-page":"176","DOI":"10.1109\/17.141275","volume":"39","author":"AB Badiru","year":"1992","unstructured":"Badiru AB (1992) Computational survey of univariate and multivariate learning curve models. IEEE Trans Eng Manag 39:176\u2013188","journal-title":"IEEE Trans Eng Manag"},{"key":"1910_CR2","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/j.ejor.2007.05.040","volume":"188","author":"D Biskup","year":"2008","unstructured":"Biskup D (2008) A state-of-the-art review on scheduling with learning effects. Eur J Oper Res 188:315\u2013329","journal-title":"Eur J Oper Res"},{"key":"1910_CR3","doi-asserted-by":"crossref","first-page":"326","DOI":"10.1016\/j.cie.2009.11.008","volume":"58","author":"TCE Cheng","year":"2010","unstructured":"Cheng TCE, Wu C-C, Lee W-C (2010) Scheduling problems with deteriorating jobs and learning effects including proportional setup times. Comput Ind Eng 58:326\u2013331","journal-title":"Comput Ind Eng"},{"key":"1910_CR4","doi-asserted-by":"crossref","first-page":"534","DOI":"10.1016\/j.cie.2010.12.008","volume":"60","author":"TCE Cheng","year":"2011","unstructured":"Cheng TCE, Cheng S-R, Wu W-H, Hsu P-H, Wu C-C (2011) A two-agent single-machine scheduling problem with truncated sum-of-processing-times-based learning considerations. Comput Ind Eng 60:534\u2013541","journal-title":"Comput Ind Eng"},{"key":"1910_CR5","doi-asserted-by":"crossref","first-page":"490","DOI":"10.1016\/j.ins.2012.09.001","volume":"221","author":"TCE Cheng","year":"2013","unstructured":"Cheng TCE, Kuo W-H, Yang D-L (2013) Scheduling with a position-weighted learning effect based on sum-of-logarithm-processing-times and job position. Inf Sci 221:490\u2013500","journal-title":"Inf Sci"},{"key":"1910_CR6","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1007\/s11590-012-0574-5","volume":"8","author":"TCE Cheng","year":"2014","unstructured":"Cheng TCE, Kuo W-H, Yang D-L (2014) Scheduling with a position-weighted learning effect. Optim Lett 8:293\u2013306","journal-title":"Optim Lett"},{"key":"1910_CR7","doi-asserted-by":"crossref","first-page":"1631","DOI":"10.1007\/s00521-012-1119-7","volume":"23","author":"F Geyik","year":"2013","unstructured":"Geyik F, Dosdo\u01e7ru AT (2013) Process plan and part routing optimization in a dynamic flexible job shop scheduling environment: an optimization via simulation approach. Neural Comput Appl 23:1631\u20131641","journal-title":"Neural Comput Appl"},{"key":"1910_CR8","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1016\/S0167-5060(08)70356-X","volume":"5","author":"RL Graham","year":"1979","unstructured":"Graham RL, Lawler EL, Lenstra JK, Rinnooy Kan AHG (1979) Optimization and approximation in deterministic sequencing and scheduling: a survey. Ann Discret Math 5:287\u2013326","journal-title":"Ann Discret Math"},{"key":"1910_CR9","doi-asserted-by":"crossref","first-page":"264","DOI":"10.1016\/j.ijpe.2010.03.016","volume":"126","author":"C Koulamas","year":"2010","unstructured":"Koulamas C, Kyparisis GJ (2010) Single-machine scheduling problems with past-sequence-dependent delivery times. Int J Prod Econ 126:264\u2013266","journal-title":"Int J Prod Econ"},{"issue":"4","key":"1910_CR10","doi-asserted-by":"crossref","first-page":"1228","DOI":"10.1080\/00207543.2014.954057","volume":"53","author":"G Li","year":"2015","unstructured":"Li G, Luo M-L, Zhang W-J, Wang X-Y (2015) Single-machine due-window assignment scheduling based on common flow allowance, learning effect and resource allocation. Int J Prod Res 53(4):1228\u20131241","journal-title":"Int J Prod Res"},{"key":"1910_CR11","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1007\/s00170-013-4772-9","volume":"67","author":"L Li","year":"2013","unstructured":"Li L, Yang S-W, Wu Y-B, Huo Y, Ji P (2013) Single machine scheduling jobs with a truncated sum-of-processing-times-based learning effect. Int J Adv Manuf Technol 67:261\u2013267","journal-title":"Int J Adv Manuf Technol"},{"key":"1910_CR12","doi-asserted-by":"crossref","first-page":"9630","DOI":"10.1016\/j.apm.2013.05.025","volume":"37","author":"M Liu","year":"2013","unstructured":"Liu M (2013) Parallel-machine scheduling with past-sequence-dependent delivery times and learning effect. Appl Math Model 37:9630\u20139633","journal-title":"Appl Math Model"},{"key":"1910_CR13","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1016\/j.ijpe.2013.03.009","volume":"144","author":"M Liu","year":"2013","unstructured":"Liu M, Wang S, Chu C (2013) Scheduling deteriorating jobs with past-sequence-dependent delivery times. Int J Prod Econ 144:418\u2013421","journal-title":"Int J Prod Econ"},{"key":"1910_CR14","doi-asserted-by":"crossref","first-page":"835","DOI":"10.1016\/j.ipl.2012.07.002","volume":"112","author":"M Liu","year":"2012","unstructured":"Liu M, Zheng FF, Chu CB, Yf Xu (2012) Single-machine scheduling with past-sequence-dependent delivery times and release times. Inf Process Lett 112:835\u2013838","journal-title":"Inf Process Lett"},{"key":"1910_CR15","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/j.tcs.2012.03.009","volume":"438","author":"M Liu","year":"2012","unstructured":"Liu M, Zheng FF, Chu CB, Yf Xu (2012) New results on single-machine scheduling with past-sequence-dependent delivery times. Theor Comput Sci 438:55\u201361","journal-title":"Theor Comput Sci"},{"key":"1910_CR16","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/s11590-012-0467-7","volume":"8","author":"Y-Y Lu","year":"2014","unstructured":"Lu Y-Y, Li G, Wu Y-B, Ji P (2014) Optimal due-date assignment problem with learning effect and resource-dependent processing times. Optim Lett 8:113\u2013127","journal-title":"Optim Lett"},{"issue":"2","key":"1910_CR17","doi-asserted-by":"crossref","first-page":"1550001","DOI":"10.1142\/S0217595915500013","volume":"32","author":"Y-P Niu","year":"2015","unstructured":"Niu Y-P, Wan L, Wang J-B (2015) A note on scheduling jobs with extended sum-of-processing-times-based and position-based learning effect. Asia Pac J Oper Res 32(2):1550001 (12 pages)","journal-title":"Asia Pac J Oper Res"},{"key":"1910_CR18","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1016\/j.ins.2012.02.043","volume":"199","author":"R Rudek","year":"2012","unstructured":"Rudek R (2012) The single processor total weighted completion time scheduling problem with the sum-of-processing-time based learning model. Inf Sci 199:216\u2013229","journal-title":"Inf Sci"},{"key":"1910_CR19","doi-asserted-by":"crossref","first-page":"1523","DOI":"10.1016\/j.apm.2012.04.019","volume":"37","author":"R Rudek","year":"2013","unstructured":"Rudek R (2013) On single processor scheduling problems with learning dependent on the number of processed jobs. Appl Math Model 37:1523\u20131536","journal-title":"Appl Math Model"},{"key":"1910_CR20","doi-asserted-by":"crossref","first-page":"5444","DOI":"10.1016\/j.apm.2012.11.001","volume":"37","author":"L Shen","year":"2013","unstructured":"Shen L, Wu Y-B (2013) Single machine past-sequence-dependent delivery times scheduling with general position-dependent and time-dependent learning effects. Appl Math Model 37:5444\u20135451","journal-title":"Appl Math Model"},{"key":"1910_CR21","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1007\/s10479-013-1368-6","volume":"211","author":"L-H Sun","year":"2013","unstructured":"Sun L-H, Cui K, Chen J-H, Wang J, He X-C (2013) Some results of the worst-case analysis for flow shop scheduling with a learning effect. Ann Oper Res 211:481\u2013490","journal-title":"Ann Oper Res"},{"key":"1910_CR22","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1007\/s10479-013-1481-6","volume":"211","author":"L-H Sun","year":"2013","unstructured":"Sun L-H, Cui K, Chen J-H, Wang J, He X-C (2013) Research on permutation flow shop scheduling problems with general position-dependent learning effects. Ann Oper Res 211:473\u2013480","journal-title":"Ann Oper Res"},{"key":"1910_CR23","doi-asserted-by":"crossref","first-page":"1393","DOI":"10.1007\/s11590-011-0334-y","volume":"6","author":"J-B Wang","year":"2012","unstructured":"Wang J-B, Ji P, Cheng TCE, Wang D (2012) Minimizing makespan in a two-machine flow shop with effects of deterioration and learning. Optim Lett 6:1393\u20131409","journal-title":"Optim Lett"},{"key":"1910_CR24","doi-asserted-by":"crossref","first-page":"669","DOI":"10.1007\/s11590-012-0579-0","volume":"8","author":"X-R Wang","year":"2014","unstructured":"Wang X-R, Jin J, Wang J-B, Ji P (2014) Single machine scheduling with truncated job-dependent learning effect. Optim Lett 8:669\u2013677","journal-title":"Optim Lett"},{"key":"1910_CR25","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1007\/s10479-011-0923-2","volume":"191","author":"J-B Wang","year":"2011","unstructured":"Wang J-B, Wang M-Z (2011) Worst-case behavior of simple sequencing rules in flow shop scheduling with general position-dependent learning effects. Ann Oper Res 191:155\u2013169","journal-title":"Ann Oper Res"},{"key":"1910_CR26","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1057\/jors.2011.40","volume":"63","author":"J-B Wang","year":"2012","unstructured":"Wang J-B, Wang M-Z (2012) Worst-case analysis for flow shop scheduling problems with an exponential learning effect. J Oper Res Soc 63:130\u2013137","journal-title":"J Oper Res Soc"},{"issue":"5","key":"1910_CR27","doi-asserted-by":"crossref","first-page":"1450036","DOI":"10.1142\/S0217595914500365","volume":"31","author":"J-B Wang","year":"2014","unstructured":"Wang J-B, Wang M-Z (2014) Single-machine due-window assignment and scheduling with learning effect and resource-dependent processing times. Asia Pac J Oper Res 31(5):1450036 (15 pages)","journal-title":"Asia Pac J Oper Res"},{"key":"1910_CR28","doi-asserted-by":"crossref","first-page":"971","DOI":"10.1007\/s11590-012-0494-4","volume":"8","author":"J-B Wang","year":"2014","unstructured":"Wang J-B, Wang J-J (2014) Single machine scheduling with sum-of-logarithm-processing-times based and position based learning effects. Optim Lett 8:971\u2013982","journal-title":"Optim Lett"},{"key":"1910_CR29","doi-asserted-by":"crossref","first-page":"292","DOI":"10.1016\/j.cor.2013.09.001","volume":"43","author":"J-B Wang","year":"2014","unstructured":"Wang J-B, Wang J-J (2014) Flowshop scheduling with a general exponential learning effect. Comput Oper Res 43:292\u2013308","journal-title":"Comput Oper Res"},{"key":"1910_CR30","doi-asserted-by":"crossref","first-page":"5231","DOI":"10.1016\/j.apm.2014.04.002","volume":"38","author":"X-Y Wang","year":"2014","unstructured":"Wang X-Y, Wang J-J (2014) Scheduling deteriorating jobs with a learning effect on unrelated parallel-machines. Appl Math Model 38:5231\u20135238","journal-title":"Appl Math Model"},{"key":"1910_CR31","doi-asserted-by":"crossref","first-page":"861","DOI":"10.1080\/00207721.2010.542837","volume":"43","author":"J-B Wang","year":"2012","unstructured":"Wang J-B, Wang M-Z, Ji P (2012) Single machine total completion time minimization scheduling with a time-dependent learning effect and deteriorating jobs. Int J Syst Sci 43:861\u2013868","journal-title":"Int J Syst Sci"},{"key":"1910_CR32","doi-asserted-by":"crossref","first-page":"1857","DOI":"10.1007\/s11590-011-0433-9","volume":"7","author":"J-B Wang","year":"2013","unstructured":"Wang J-B, Wang X-Y, Sun L-H, Sun L-Y (2013) Scheduling jobs with truncated exponential learning functions. Optim Lett 7:1857\u20131873","journal-title":"Optim Lett"},{"key":"1910_CR33","doi-asserted-by":"crossref","first-page":"2906","DOI":"10.1016\/j.cor.2013.07.001","volume":"40","author":"X-Y Wang","year":"2013","unstructured":"Wang X-Y, Zhou Z, Zhang X, Ji P, Wang J-B (2013) Several flow shop scheduling problems with truncated position-based learning effect. Comput Oper Res 40:2906\u20132929","journal-title":"Comput Oper Res"},{"key":"1910_CR34","doi-asserted-by":"crossref","first-page":"1465","DOI":"10.1007\/s00521-012-0852-2","volume":"21","author":"G Weckman","year":"2012","unstructured":"Weckman G, Bondal AA, Rinder MM, Young WA II (2012) Applying a hybrid artificial immune systems to the job shop scheduling problem. Neural Comput Appl 21:1465\u20131475","journal-title":"Neural Comput Appl"},{"key":"1910_CR35","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1504\/EJIE.2012.047665","volume":"6","author":"C-C Wu","year":"2012","unstructured":"Wu C-C, Yin Y, Wu W-H, Cheng S-R (2012) Some polynomial solvable single-machine scheduling problems with a truncation sum-of-processing-times based learning effect. Eur J Ind Eng 6:441\u2013453","journal-title":"Eur J Ind Eng"},{"key":"1910_CR36","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1057\/jors.2012.46","volume":"64","author":"C-C Wu","year":"2013","unstructured":"Wu C-C, Yin Y, Cheng S-R (2013) Single-machine and two-machine flowshop scheduling problems with truncated position-based learning functions. J Oper Res Soc 64:147\u2013156","journal-title":"J Oper Res Soc"},{"key":"1910_CR37","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1007\/s00170-013-4768-5","volume":"67","author":"D-L Yang","year":"2013","unstructured":"Yang D-L, Cheng TCE, Kuo W-H (2013) Scheduling with a general learning effect. Int J Adv Manuf Technol 67:217\u2013229","journal-title":"Int J Adv Manuf Technol"},{"key":"1910_CR38","first-page":"247","volume":"28","author":"S-J Yang","year":"2011","unstructured":"Yang S-J, Hsu C-J, Chang T-R, Yang D-L (2011) Single-machine scheduling with past-sequence-dependent delivery times and learning effect. J Chin Inst Ind Eng 28:247\u2013255","journal-title":"J Chin Inst Ind Eng"},{"key":"1910_CR39","doi-asserted-by":"crossref","first-page":"1508","DOI":"10.1057\/jors.2011.155","volume":"63","author":"S-J Yang","year":"2012","unstructured":"Yang S-J, Yang D-L (2012) Single-machine scheduling problems with past-sequence-dependent delivery times and position-dependent processing times. J Oper Res Soc 63:1508\u20131515","journal-title":"J Oper Res Soc"},{"key":"1910_CR40","first-page":"3981","volume":"9","author":"S-J Yang","year":"2013","unstructured":"Yang S-J, Guo J-Y, Lee H-T, Yang D-L (2013) Single-machine scheduling problems with past-sequence-dependent delivery times and deterioration and learning effects simultaneously. Int J Innov Comput Inf Control 9:3981\u20133989","journal-title":"Int J Innov Comput Inf Control"},{"key":"1910_CR41","doi-asserted-by":"crossref","first-page":"323","DOI":"10.3934\/jimo.2013.9.323","volume":"9","author":"Y Yin","year":"2013","unstructured":"Yin Y, Cheng TCE, Xu J, Cheng S-R, Wu C-C (2013) Single-machine scheduling with past-sequence-dependent delivery times and a linear deterioration. J Ind Manag Optim 9:323\u2013339","journal-title":"J Ind Manag Optim"},{"key":"1910_CR42","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1016\/j.ins.2013.06.035","volume":"251","author":"Y Yin","year":"2013","unstructured":"Yin Y, Liu M, Cheng TCE, Wu C-C, Cheng S-R (2013) Four single-machine scheduling problems involving due date determination decisions. Inf Sci 251:164\u2013181","journal-title":"Inf Sci"},{"key":"1910_CR43","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1007\/s12190-013-0722-9","volume":"45","author":"C Zhao","year":"2014","unstructured":"Zhao C, Tang H (2014) Single machine scheduling problems with general position-dependent processing times and past-sequence-dependent delivery times. J Appl Math Comput 45:259\u2013274","journal-title":"J Appl Math Comput"},{"key":"1910_CR44","doi-asserted-by":"crossref","first-page":"298","DOI":"10.1016\/j.ins.2011.11.001","volume":"187","author":"X Zhang","year":"2012","unstructured":"Zhang X, Yan G, Huang W, Tang G (2012) A note on machine scheduling with sum-of-logarithm-processing-time-based and position-based learning effects. Inf Sci 187:298\u2013304","journal-title":"Inf Sci"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-015-1910-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-015-1910-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-015-1910-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T22:21:20Z","timestamp":1559082080000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-015-1910-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,5,3]]},"references-count":44,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2016,5]]}},"alternative-id":["1910"],"URL":"https:\/\/doi.org\/10.1007\/s00521-015-1910-3","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,5,3]]}}}