{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T22:21:28Z","timestamp":1772749288784,"version":"3.50.1"},"reference-count":58,"publisher":"Springer Science and Business Media LLC","issue":"21","license":[{"start":{"date-parts":[[2022,6,20]],"date-time":"2022-06-20T00:00:00Z","timestamp":1655683200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,6,20]],"date-time":"2022-06-20T00:00:00Z","timestamp":1655683200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2022,11]]},"DOI":"10.1007\/s00521-022-07459-z","type":"journal-article","created":{"date-parts":[[2022,6,20]],"date-time":"2022-06-20T07:05:38Z","timestamp":1655708738000},"page":"18595-18609","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Multi-objective evolutionary algorithm on reliability redundancy allocation with interval alternatives for system parameters"],"prefix":"10.1007","volume":"34","author":[{"given":"B.","family":"Maneckshaw","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5225-0445","authenticated-orcid":false,"given":"G. S.","family":"Mahapatra","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,6,20]]},"reference":[{"issue":"3","key":"7459_CR1","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1109\/TR.2004.833312","volume":"53","author":"D Coit","year":"2004","unstructured":"Coit D, Jin T, Wattanapongsakorn N (2004) System optimization with component reliability estimation uncertainty: a multi-criteria approach. IEEE Trans Reliab 53(3):369\u2013380","journal-title":"IEEE Trans Reliab"},{"key":"7459_CR2","doi-asserted-by":"publisher","first-page":"142","DOI":"10.1016\/j.ress.2015.11.004","volume":"147","author":"S Bosse","year":"2016","unstructured":"Bosse S, Splieth M, Turowski K (2016) Multi-objective optimization of it service availability and costs. Reliab Eng Syst Saf 147:142\u2013155","journal-title":"Reliab Eng Syst Saf"},{"issue":"11","key":"7459_CR3","doi-asserted-by":"publisher","first-page":"3445","DOI":"10.1007\/s11269-017-1678-6","volume":"31","author":"S Jamshid Mousavi","year":"2017","unstructured":"Jamshid Mousavi S, Anzab NR, Asl-Rousta B, Kim JH (2017) Multi-objective optimization-simulation for reliability-based inter-basin water allocation. Water Resour Manag 31(11):3445\u20133464","journal-title":"Water Resour Manag"},{"key":"7459_CR4","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1016\/j.ress.2016.09.006","volume":"157","author":"A Attar","year":"2017","unstructured":"Attar A, Raissi S, Khalili-Damghani K (2017) A simulation-based optimization approach for free distributed repairable multi-state availability-redundancy allocation problems. Reliab Eng Syst Saf 157:177\u2013191","journal-title":"Reliab Eng Syst Saf"},{"issue":"12","key":"7459_CR5","doi-asserted-by":"publisher","first-page":"1855","DOI":"10.1016\/j.cor.2011.02.024","volume":"38","author":"B Soylu","year":"2011","unstructured":"Soylu B, Kapan Ulusoy S (2011) A preference ordered classification for a multi-objective maxmin redundancy allocation problem. Comput Oper Res 38(12):1855\u20131866","journal-title":"Comput Oper Res"},{"key":"7459_CR6","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1016\/j.ress.2018.08.012","volume":"181","author":"CP de Paula","year":"2019","unstructured":"de Paula CP, Visnadi LB, de Castro HF (2019) Multi-objective optimization in redundant system considering load sharing. Reliab Eng Syst Saf 181:17\u201327","journal-title":"Reliab Eng Syst Saf"},{"issue":"1","key":"7459_CR7","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1007\/s13198-012-0080-2","volume":"3","author":"S Rane","year":"2012","unstructured":"Rane S, Srividya A, Verma A (2012) Multi-objective reliability based design optimization and risk analysis of motorcycle frame with strength based failure limit. Int J Syst Assur Eng Manag 3(1):33\u201339","journal-title":"Int J Syst Assur Eng Manag"},{"issue":"4","key":"7459_CR8","doi-asserted-by":"publisher","first-page":"819","DOI":"10.1016\/j.ress.2008.09.008","volume":"94","author":"K Barker","year":"2009","unstructured":"Barker K, Haimes YY (2009) Assessing uncertainty in extreme events: applications to risk-based decision making in interdependent infrastructure sectors. Reliab Eng Syst Saf 94(4):819\u2013829","journal-title":"Reliab Eng Syst Saf"},{"key":"7459_CR9","doi-asserted-by":"publisher","first-page":"10829","DOI":"10.1007\/s00521-020-05152-7","volume":"33","author":"S Ghufran","year":"2021","unstructured":"Ghufran S, Gupta S, Ahmed A (2021) A fuzzy compromise approach for solving multi-objective stratified sampling design. Neural Comput Appl 33:10829\u201310840","journal-title":"Neural Comput Appl"},{"issue":"3","key":"7459_CR10","doi-asserted-by":"publisher","first-page":"314","DOI":"10.1016\/j.ress.2006.04.014","volume":"92","author":"H Taboada","year":"2007","unstructured":"Taboada H, Baheranwala F, Coit D, Wattanapongsakorn N (2007) Practical solutions for multi-objective optimization: an application to system reliability design problems. Reliab Eng Syst Saf 92(3):314\u2013322","journal-title":"Reliab Eng Syst Saf"},{"issue":"2","key":"7459_CR11","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1109\/TR.2005.847279","volume":"54","author":"M Marseguerra","year":"2005","unstructured":"Marseguerra M, Zio E, Podofillini L, Coit D (2005) Optimal design of reliable network systems in presence of uncertainty. IEEE Trans Reliab 54(2):243\u2013253","journal-title":"IEEE Trans Reliab"},{"issue":"2","key":"7459_CR12","doi-asserted-by":"publisher","first-page":"743","DOI":"10.3233\/IFS-131032","volume":"27","author":"GS Mahapatra","year":"2014","unstructured":"Mahapatra GS, Mahapatra BS, Roy PK (2014) Network reliability evaluation for fuzzy components: an interval programming approach. J Intel Fuzzy Syst 27(2):743\u2013751","journal-title":"J Intel Fuzzy Syst"},{"key":"7459_CR13","doi-asserted-by":"publisher","first-page":"106681","DOI":"10.1016\/j.ress.2019.106681","volume":"193","author":"W Wang","year":"2020","unstructured":"Wang W, Lin M, Fu Y, Luo X, Chen H (2020) Multi-objective optimization of reliability-redundancy allocation problem for multi-type production systems considering redundancy strategies. Reliab Eng Syst Saf 193:106681","journal-title":"Reliab Eng Syst Saf"},{"issue":"6","key":"7459_CR14","doi-asserted-by":"publisher","first-page":"815","DOI":"10.1016\/j.ress.2007.03.032","volume":"93","author":"P Limbourg","year":"2008","unstructured":"Limbourg P, Kochs H-D (2008) Multi-objective optimization of generalized reliability design problems using feature models-a concept for early design stages. Reliab Eng Syst Saf 93(6):815\u2013828","journal-title":"Reliab Eng Syst Saf"},{"issue":"1","key":"7459_CR15","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1002\/qre.1027","volume":"26","author":"O Yadav","year":"2010","unstructured":"Yadav O, Bhamare S, Rathore A (2010) Reliability-based robust design optimization: a multi-objective framework using hybrid quality loss function. Qual Reliab Eng Int 26(1):27\u201341","journal-title":"Qual Reliab Eng Int"},{"key":"7459_CR16","doi-asserted-by":"publisher","first-page":"262","DOI":"10.1016\/j.eswa.2018.02.040","volume":"102","author":"V Ho-Huu","year":"2018","unstructured":"Ho-Huu V, Duong-Gia D, Vo-Duy T, Le-Duc T, Nguyen-Thoi T (2018) An efficient combination of multi-objective evolutionary optimization and reliability analysis for reliability-based design optimization of truss structures. Expert Syst Appl 102:262\u2013272","journal-title":"Expert Syst Appl"},{"key":"7459_CR17","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/j.ress.2013.03.012","volume":"117","author":"K Barker","year":"2013","unstructured":"Barker K, Ramirez-Marquez JE, Rocco CM (2013) Resilience-based network component importance measures. Reliab Eng Syst Saf 117:89\u201397","journal-title":"Reliab Eng Syst Saf"},{"issue":"3","key":"7459_CR18","first-page":"1585","volume":"24","author":"P Pourkarim Guilani","year":"2017","unstructured":"Pourkarim Guilani P, Zaretalab A, Niaki S (2017) A bi-objective model to optimize reliability and cost of k-out-of-n series-parallel systems with tri-state components. Sci Iran 24(3):1585\u20131602","journal-title":"Sci Iran"},{"issue":"23","key":"7459_CR19","doi-asserted-by":"publisher","first-page":"7000","DOI":"10.1080\/00207543.2017.1346319","volume":"55","author":"M Habib","year":"2017","unstructured":"Habib M, Yalaoui F, Chehade H, Jarkass I, Chebbo N (2017) Multi-objective design optimisation of repairable k-out-of-n subsystems in series with redundant dependency. Int J Prod Res 55(23):7000\u20137021","journal-title":"Int J Prod Res"},{"key":"7459_CR20","doi-asserted-by":"publisher","first-page":"106019","DOI":"10.1016\/j.ress.2017.11.025","volume":"192","author":"M-X Sun","year":"2019","unstructured":"Sun M-X, Li Y-F, Zio E (2019) On the optimal redundancy allocation for multi-state series\u2013parallel systems under epistemic uncertainty. Reliab Eng Syst Saf 192:106019","journal-title":"Reliab Eng Syst Saf"},{"issue":"5","key":"7459_CR21","first-page":"881","volume":"233","author":"J Zhao","year":"2019","unstructured":"Zhao J, Si S, Cai Z, Su M, Wang W (2019) Multiobjective optimization of reliability-redundancy allocation problems for serial parallel-series systems based on importance measure. Proc Inst Mech Eng Part O J Risk Reliab 233(5):881\u2013897","journal-title":"Proc Inst Mech Eng Part O J Risk Reliab"},{"issue":"1","key":"7459_CR22","doi-asserted-by":"publisher","first-page":"126","DOI":"10.25103\/jestr.121.15","volume":"12","author":"X Cheng","year":"2019","unstructured":"Cheng X, An L, Zhang Z (2019) Integer encoding genetic algorithm for optimizing redundancy allocation of series-parallel systems. J Eng Sci Technol Rev 12(1):126\u2013136","journal-title":"J Eng Sci Technol Rev"},{"key":"7459_CR23","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.ress.2016.10.023","volume":"160","author":"N Alikar","year":"2017","unstructured":"Alikar N, Mousavi S, Raja Ghazilla R, Tavana M, Olugu E (2017) Application of the nsga-ii algorithm to a multi-period inventory-redundancy allocation problem in a series-parallel system. Reliab Eng Syst Saf 160:1\u201310","journal-title":"Reliab Eng Syst Saf"},{"key":"7459_CR24","doi-asserted-by":"publisher","first-page":"154","DOI":"10.1016\/j.ress.2012.09.013","volume":"111","author":"D Cao","year":"2013","unstructured":"Cao D, Murat A, Chinnam R (2013) Efficient exact optimization of multi-objective redundancy allocation problems in series-parallel systems. Reliab Eng Syst Saf 111:154\u2013163","journal-title":"Reliab Eng Syst Saf"},{"key":"7459_CR25","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1016\/j.ress.2012.03.006","volume":"103","author":"K Khalili-Damghani","year":"2012","unstructured":"Khalili-Damghani K, Amiri M (2012) Solving binary-state multi-objective reliability redundancy allocation series-parallel problem using efficient epsilon-constraint, multi-start partial bound enumeration algorithm, and dea. Reliab Eng Syst Saf 103:35\u201344","journal-title":"Reliab Eng Syst Saf"},{"key":"7459_CR26","doi-asserted-by":"publisher","first-page":"116","DOI":"10.1016\/j.isatra.2014.10.002","volume":"55","author":"M Abouei Ardakan","year":"2015","unstructured":"Abouei Ardakan M, Zeinal Hamadani A, Alinaghian M (2015) Optimizing bi-objective redundancy allocation problem with a mixed redundancy strategy. ISA Trans 55:116\u2013128","journal-title":"ISA Trans"},{"key":"7459_CR27","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1016\/j.ress.2016.10.009","volume":"160","author":"F Kayedpour","year":"2017","unstructured":"Kayedpour F, Amiri M, Rafizadeh M, Shahryari Nia A (2017) Multi-objective redundancy allocation problem for a system with repairable components considering instantaneous availability and strategy selection. Reliab Eng Syst Saf 160:11\u201320","journal-title":"Reliab Eng Syst Saf"},{"issue":"3","key":"7459_CR28","doi-asserted-by":"publisher","first-page":"289","DOI":"10.5267\/j.dsl.2015.4.007","volume":"4","author":"H Zoulfaghari","year":"2015","unstructured":"Zoulfaghari H, Hamadani A, Ardakan M (2015) Multi-objective availability-redundancy allocation problem for a system with repairable and non-repairable components. Decis Sci Lett 4(3):289\u2013302","journal-title":"Decis Sci Lett"},{"key":"7459_CR29","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1016\/j.cie.2017.04.009","volume":"108","author":"A Eshraghniaye Jahromi","year":"2017","unstructured":"Eshraghniaye Jahromi A, Feizabadi M (2017) Optimization of multi-objective redundancy allocation problem with non-homogeneous components. Comput Ind Eng 108:111\u2013123","journal-title":"Comput Ind Eng"},{"key":"7459_CR30","doi-asserted-by":"publisher","first-page":"106932","DOI":"10.1016\/j.ress.2020.106932","volume":"199","author":"R Cao","year":"2020","unstructured":"Cao R, Coit D, Hou W, Yang Y (2020) Game theory based solution selection for multi-objective redundancy allocation in interval-valued problem parameters. Reliab Eng Syst Saf 199:106932","journal-title":"Reliab Eng Syst Saf"},{"issue":"4","key":"7459_CR31","doi-asserted-by":"publisher","first-page":"525","DOI":"10.1162\/EVCO_a_00034","volume":"19","author":"R Coelho","year":"2011","unstructured":"Coelho R, Bouillard P (2011) Multi-objective reliability-based optimization with stochastic metamodels. Evolut Comput 19(4):525\u2013560","journal-title":"Evolut Comput"},{"issue":"12","key":"7459_CR32","doi-asserted-by":"publisher","first-page":"4089","DOI":"10.1175\/2009MWR2835.1","volume":"137","author":"PJ Van Leeuwen","year":"2009","unstructured":"Van Leeuwen PJ (2009) Particle filtering in geophysical systems. Mon Weather Rev 137(12):4089\u20134114","journal-title":"Mon Weather Rev"},{"key":"7459_CR33","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1146\/annurev-statistics-031017-100232","volume":"5","author":"P Fearnhead","year":"2018","unstructured":"Fearnhead P, K\u00fcnsch HR (2018) Particle filters and data assimilation. Ann Rev Stat Appl 5:421\u2013449","journal-title":"Ann Rev Stat Appl"},{"issue":"1","key":"7459_CR34","first-page":"643","volume":"174","author":"GS Mahapatra","year":"2006","unstructured":"Mahapatra GS, Roy TK (2006) Fuzzy multi-objective mathematical programming on reliability optimization model. Appl Math Comput 174(1):643\u2013659","journal-title":"Appl Math Comput"},{"issue":"3","key":"7459_CR35","first-page":"1339","volume":"26","author":"P Muhuri","year":"2018","unstructured":"Muhuri P, Ashraf Z, Danish Lohani Q (2018) Multiobjective reliability redundancy allocation problem with interval type-2 fuzzy uncertainty. IEEE Trans Fuzzy Syst 26(3):1339\u20131355","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"3","key":"7459_CR36","first-page":"259","volume":"12","author":"GS Mahapatra","year":"2010","unstructured":"Mahapatra GS, Mitra M, Roy TK (2010) Intuitionistic fuzzy multi-objective mathematical programming on reliability optimization model. Int J Fuzzy Syst 12(3):259\u2013266","journal-title":"Int J Fuzzy Syst"},{"issue":"7","key":"7459_CR37","doi-asserted-by":"publisher","first-page":"3157","DOI":"10.1016\/j.eswa.2013.11.014","volume":"41","author":"H Garg","year":"2014","unstructured":"Garg H, Rani M, Sharma SP, Vishwakarma Y (2014) Intuitionistic fuzzy optimization technique for solving multi-objective reliability optimization problems in interval environment. Expert Syst Appl 41(7):3157\u20133167","journal-title":"Expert Syst Appl"},{"issue":"4","key":"7459_CR38","doi-asserted-by":"publisher","first-page":"1899","DOI":"10.3233\/IFS-141477","volume":"28","author":"GS Mahapatra","year":"2015","unstructured":"Mahapatra GS, Mahapatra BS, Roy PK (2015) Fuzzy variable based fuzzy non-linear programming approach for optimization of complex system reliability. J Intel Fuzzy Syst 28(4):1899\u20131908","journal-title":"J Intel Fuzzy Syst"},{"issue":"2","key":"7459_CR39","doi-asserted-by":"publisher","first-page":"853","DOI":"10.1007\/s10479-015-1863-z","volume":"247","author":"GS Mahapatra","year":"2016","unstructured":"Mahapatra GS, Mahapatra BS, Roy PK (2016) A new concept for fuzzy variable based non-linear programming problem with application on system reliability via genetic algorithm approach. Ann Oper Res 247(2):853\u2013866","journal-title":"Ann Oper Res"},{"key":"7459_CR40","doi-asserted-by":"crossref","unstructured":"Kennedy J, Eberhart R (1995) Particle swarm optimization. In: IEEE international conference on neural networks, pp 1942\u20131948","DOI":"10.1109\/ICNN.1995.488968"},{"issue":"14","key":"7459_CR41","doi-asserted-by":"publisher","first-page":"6147","DOI":"10.1016\/j.eswa.2014.04.016","volume":"41","author":"P Roy","year":"2014","unstructured":"Roy P, Mahapatra BS, Mahapatra GS, Roy PK (2014) Entropy based region reducing genetic algorithm for reliability redundancy allocation in interval environment. Expert Syst Appl 41(14):6147\u20136160","journal-title":"Expert Syst Appl"},{"issue":"1","key":"7459_CR42","doi-asserted-by":"publisher","first-page":"182","DOI":"10.1109\/TR.2008.916874","volume":"57","author":"H Taboada","year":"2008","unstructured":"Taboada H, Espiritu J, Coit D (2008) Moms-ga: a multi-objective multi-state genetic algorithm for system reliability optimization design problems. IEEE Trans Reliab 57(1):182\u2013191","journal-title":"IEEE Trans Reliab"},{"issue":"5","key":"7459_CR43","doi-asserted-by":"publisher","first-page":"1562","DOI":"10.1016\/j.cor.2008.02.017","volume":"36","author":"A Azaron","year":"2009","unstructured":"Azaron A, Perkgoz C, Katagiri H, Kato K, Sakawa M (2009) Multi-objective reliability optimization for dissimilar-unit cold-standby systems using a genetic algorithm. Comput Oper Res 36(5):1562\u20131571","journal-title":"Comput Oper Res"},{"issue":"4","key":"7459_CR44","doi-asserted-by":"publisher","first-page":"891","DOI":"10.1016\/j.ress.2008.10.002","volume":"94","author":"R Kumar","year":"2009","unstructured":"Kumar R, Izui K, Yoshimura M, Nishiwaki S (2009) Multi-objective hierarchical genetic algorithms for multilevel redundancy allocation optimization. Reliab Eng Syst Saf 94(4):891\u2013904","journal-title":"Reliab Eng Syst Saf"},{"issue":"5","key":"7459_CR45","doi-asserted-by":"publisher","first-page":"649","DOI":"10.1142\/S0217595908001936","volume":"25","author":"L-H Chen","year":"2008","unstructured":"Chen L-H, Chiang C-H (2008) Multi-objective optimization in reliability system using genetic algorithm and neural network. Asia-Pac J Oper Res 25(5):649\u2013672","journal-title":"Asia-Pac J Oper Res"},{"issue":"1","key":"7459_CR46","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1016\/j.cie.2012.08.008","volume":"64","author":"P He","year":"2013","unstructured":"He P, Wu K, Xu J, Wen J, Jiang Z (2013) Multilevel redundancy allocation using two dimensional arrays encoding and hybrid genetic algorithm. Comput Ind Eng 64(1):69\u201383","journal-title":"Comput Ind Eng"},{"issue":"2","key":"7459_CR47","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1243\/09544089JPME172","volume":"222","author":"E Zio","year":"2008","unstructured":"Zio E, Maio F, Martorell S (2008) Fusion of artificial neural networks and genetic algorithms for multi-objective system reliability design optimization. Proc Inst Mech Eng Part O J Risk Reliab 222(2):115\u2013126","journal-title":"Proc Inst Mech Eng Part O J Risk Reliab"},{"issue":"10","key":"7459_CR48","doi-asserted-by":"publisher","first-page":"1785","DOI":"10.1177\/0954410014560381","volume":"229","author":"N Raouf","year":"2015","unstructured":"Raouf N, Pourtakdoust S (2015) Launch vehicle multi-objective reliability-redundancy optimization using a hybrid genetic algorithm-particle swarm optimization. Proc Inst Mech Eng Part G J Aerosp Eng 229(10):1785\u20131797","journal-title":"Proc Inst Mech Eng Part G J Aerosp Eng"},{"issue":"8","key":"7459_CR49","first-page":"539","volume":"42","author":"J Ramirez-Marquez","year":"2010","unstructured":"Ramirez-Marquez J, Rocco C (2010) Evolutionary optimization technique for multi-state two-terminal reliability allocation in multi-objective problems. IIE Trans (Inst Ind Eng) 42(8):539\u2013552","journal-title":"IIE Trans (Inst Ind Eng)"},{"issue":"9","key":"7459_CR50","doi-asserted-by":"publisher","first-page":"1057","DOI":"10.1016\/j.ress.2005.11.040","volume":"91","author":"D Salazar","year":"2006","unstructured":"Salazar D, Rocco C, Galv\u00e1n B (2006) Optimization of constrained multiple-objective reliability problems using evolutionary algorithms. Reliab Eng Syst Saf 91(9):1057\u20131070","journal-title":"Reliab Eng Syst Saf"},{"issue":"4","key":"7459_CR51","doi-asserted-by":"publisher","first-page":"335","DOI":"10.1007\/s10732-007-9041-3","volume":"14","author":"S Kulturel-Konak","year":"2008","unstructured":"Kulturel-Konak S, Coit D, Baheranwala F (2008) Pruned pareto-optimal sets for the system redundancy allocation problem based on multiple prioritized objectives. J Heuristics 14(4):335\u2013357","journal-title":"J Heuristics"},{"issue":"5","key":"7459_CR52","doi-asserted-by":"publisher","first-page":"569","DOI":"10.1016\/j.ress.2010.12.016","volume":"96","author":"E Zio","year":"2011","unstructured":"Zio E, Bazzo R (2011) Level diagrams analysis of pareto front for multiobjective system redundancy allocation. Reliab Eng Syst Saf 96(5):569\u2013580","journal-title":"Reliab Eng Syst Saf"},{"key":"7459_CR53","doi-asserted-by":"publisher","first-page":"915","DOI":"10.1007\/s00521-017-3049-x","volume":"31","author":"MA Tawhid","year":"2019","unstructured":"Tawhid MA, Savsani V (2019) Multi-objective sine-cosine algorithm (mo-sca) for multi-objective engineering design problems. Neural Comput Appl 31:915\u2013929","journal-title":"Neural Comput Appl"},{"issue":"9","key":"7459_CR54","doi-asserted-by":"publisher","first-page":"1453","DOI":"10.1080\/0305215X.2017.1402014","volume":"50","author":"R Cao","year":"2018","unstructured":"Cao R, Hou W, Gao Y (2018) An entropy-based three-stage approach for multi-objective system reliability optimization considering uncertainty. Eng Optim 50(9):1453\u20131469","journal-title":"Eng Optim"},{"key":"7459_CR55","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1016\/j.ress.2015.09.008","volume":"145","author":"E Zhang","year":"2016","unstructured":"Zhang E, Chen Q (2016) Multi objective reliability redundancy allocation in an interval environment using particle swarm optimization. Reliab Eng Syst Saf 145:83\u201392","journal-title":"Reliab Eng Syst Saf"},{"issue":"6","key":"7459_CR56","first-page":"707","volume":"37","author":"B Zhang","year":"2015","unstructured":"Zhang B, Amir, Xiao S (2015) Multi-objective reliability optimization of front suspension based on interval uncertainty. Qiche Gongcheng\/Autom Eng 37(6):707\u2013713","journal-title":"Qiche Gongcheng\/Autom Eng"},{"key":"7459_CR57","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-85729-652-8_1","volume-title":"Multi-objective optimisation using evolutionary algorithms: an introduction","author":"K Deb","year":"2011","unstructured":"Deb K (2011) Multi-objective optimisation using evolutionary algorithms: an introduction. Springer, New York"},{"key":"7459_CR58","volume-title":"Nonlinear multiobjective optimization","author":"K Miettinen","year":"1999","unstructured":"Miettinen K (1999) Nonlinear multiobjective optimization. Kluwer, Boston"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-022-07459-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00521-022-07459-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-022-07459-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,10,21]],"date-time":"2022-10-21T02:10:04Z","timestamp":1666318204000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00521-022-07459-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6,20]]},"references-count":58,"journal-issue":{"issue":"21","published-print":{"date-parts":[[2022,11]]}},"alternative-id":["7459"],"URL":"https:\/\/doi.org\/10.1007\/s00521-022-07459-z","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,6,20]]},"assertion":[{"value":"31 March 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 May 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 June 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that we have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}}]}}