A hierarchical multi-level model for compromise allocation in multivariate stratified sample surveys with non-response problem
Stratified sampling, a widely-applicable probabilistic technique, is especially suited for large and heterogeneously distributed populations. This paper studies optimal allocation of sampling units to minimize variances and cost. Given that not all strata hold equal importance in survey projects, we...
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| Published in: | Knowledge-based systems Vol. 278; p. 110839 |
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| Main Authors: | , , , , |
| Format: | Journal Article |
| Language: | English |
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Elsevier B.V
25.10.2023
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| ISSN: | 0950-7051, 1872-7409 |
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| Abstract | Stratified sampling, a widely-applicable probabilistic technique, is especially suited for large and heterogeneously distributed populations. This paper studies optimal allocation of sampling units to minimize variances and cost. Given that not all strata hold equal importance in survey projects, we propose a hierarchical multi-level programming model for compromise allocation in stratified sampling. The model considers multiple objectives across hierarchical levels and addresses the issue of non-response by dividing strata into respondent and non-respondent groups. The survey budget restriction is considered as a constraint in our model. We employ a fuzzy concept-based solution methodology to solve the multi-level allocation problem. A literature-based numerical example describes the model’s applicability and efficiency. Comparative analysis shows our model’s superior efficiency over existing models due to its optimization of allocation across varied strata, non-response consideration, and budget constraint integration. The proposed model promotes flexibility, enhancing representativeness and cost-effectiveness of large-scale surveys, thereby improving decision-making in research and industry settings. |
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| AbstractList | Stratified sampling, a widely-applicable probabilistic technique, is especially suited for large and heterogeneously distributed populations. This paper studies optimal allocation of sampling units to minimize variances and cost. Given that not all strata hold equal importance in survey projects, we propose a hierarchical multi-level programming model for compromise allocation in stratified sampling. The model considers multiple objectives across hierarchical levels and addresses the issue of non-response by dividing strata into respondent and non-respondent groups. The survey budget restriction is considered as a constraint in our model. We employ a fuzzy concept-based solution methodology to solve the multi-level allocation problem. A literature-based numerical example describes the model’s applicability and efficiency. Comparative analysis shows our model’s superior efficiency over existing models due to its optimization of allocation across varied strata, non-response consideration, and budget constraint integration. The proposed model promotes flexibility, enhancing representativeness and cost-effectiveness of large-scale surveys, thereby improving decision-making in research and industry settings. |
| ArticleNumber | 110839 |
| Author | Owad, Ali Al Haq, Ahteshamul Jalil, Syed Aqib Hashmi, Nausheen Adichwal, Nitesh Kumar |
| Author_xml | – sequence: 1 givenname: Syed Aqib orcidid: 0000-0002-0701-0354 surname: Jalil fullname: Jalil, Syed Aqib email: aqibjalil@gmail.com organization: Faculty of Business, Sohar University, Sohar, Oman – sequence: 2 givenname: Ahteshamul orcidid: 0000-0003-1004-3429 surname: Haq fullname: Haq, Ahteshamul organization: Department of Statistics & O.R., Aligarh Muslim University, Aligarh, India – sequence: 3 givenname: Ali Al orcidid: 0000-0002-6483-6283 surname: Owad fullname: Owad, Ali Al organization: Department of Industrial Engineering, Faculty of Engineering, Jazan University, Jazan, Saudi Arabia – sequence: 4 givenname: Nausheen surname: Hashmi fullname: Hashmi, Nausheen organization: Rajagiri Business School, Kochi, Kerala, India – sequence: 5 givenname: Nitesh Kumar surname: Adichwal fullname: Adichwal, Nitesh Kumar organization: School of Business, University of Petroleum & Energy Studies (UPES), Dehradun, India |
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| Cites_doi | 10.1016/j.swevo.2023.101243 10.1016/j.ijar.2019.12.015 10.1287/opre.38.3.556 10.1080/03610918.2014.926173 10.1007/s13198-018-0720-2 10.1016/j.csda.2006.01.016 10.1109/99.714603 10.2307/1240543 10.1080/00949655.2011.643890 10.1016/S1570-7946(05)80217-2 10.1108/JM2-07-2018-0107 10.1111/exsy.12364 10.1016/0166-3615(85)90069-7 10.1016/j.spc.2018.11.010 10.1007/BF03398652 10.1198/000313004X6328 10.18187/pjsor.v13i4.1834 10.1007/s11590-011-0329-8 10.1080/00949655.2011.595716 10.1016/0305-0548(94)P3670-7 10.1007/s00500-014-1361-2 10.1080/00949655.2012.692370 10.1080/00949655.2019.1620747 10.3390/sym14010106 10.1111/j.2517-6161.1967.tb00679.x 10.1080/00949655.2020.1734808 10.1016/j.spc.2018.05.009 10.1007/s10852-014-9270-z 10.1080/03610918.2010.551014 10.1080/01621459.1946.10501894 10.1016/j.ijar.2021.10.004 10.1007/s10852-011-9164-2 |
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| Keywords | Multi-level programming Multivariate stratified sample survey Compromise allocation |
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| References | Ali, Raghav, Bari (b32) 2013; 83 Fourer, Gay, Kernighan (b43) 1987 Majumder, Barma, Biswas, Banerjee, Mandal, Kar, Ziemba (b27) 2022; 14 Sukhatme, Sukhatme, Sukhatme, Asok (b3) 1984 Cochran (b2) 1977; 3 Haseen, Ali, Bari (b36) 2016; 45 Hansen, Hurwitz (b39) 1946; 41 Majumder, Kar, Pal (b26) 2019; 36 Muhammad, Shabbir, Husain, Abd-el Moemen (b35) 2015; 14 Díaz-García, Garay-Tápia (b28) 2007; 51 Asim, Jalil, Javaid, Muneeb (b19) 2021; 16 Freitag, Edler, Kremer, Meschke (b25) 2020; 119 Dıaz-Garcıa, Cortez (b5) 2006 Friede, Baldwin, Rhodes, Buehler, Strauss (b11) 1988; 72 Filip, Donciulescu, Gaşpar, Muratcea, Orǎşanu (b21) 1985; 6 Gropp, Moré (b44) 1997 Kokan, Khan (b1) 1967; 29 Varshney, Mradula (b37) 2019; 89 Qian, Tang, Yu, Yang, Gao (b23) 2022; 140 Haq, Ali, Varshney (b38) 2020; 90 Ben-Ayed, Blair (b40) 1990; 38 Osman, Abo-Sinna, Amer, Emam (b42) 2004; 153 Asim, Jalil, Javaid (b18) 2019; 17 Raghav, Ali, Bari (b33) 2014; 84 Hansen, Hurwitz (b4) 2004; 58 Jalil, Javaid, Muneeb (b14) 2018; 9 Khowaja, Ghufran, Ahsan (b6) 2011; 40 Önal, Darmawan, Johnson (b13) 1995; 22 Candler, Fortuny-Amat, McCarl (b12) 1981; 63 Ryu (b15) 2005 Dolan (b46) 2001 Ali, Haseen (b34) 2015; 8 Varshney, Gupta, Ali (b8) 2017 Muneeb, Adhami, Jalil, Asim (b16) 2018; 16 Varshney, Ahsan, Khan (b30) 2011; 10 An, Chen, Gao, Zhang, Li, Zhao (b20) 2023 Chacko, Mayer, Jacobsen (b24) 2023 Jalil, Hashmi, Asim, Javaid (b17) 2019; 14 Varshney, Ahsan (b31) 2012; 6 Gupta, Haq, Varshney (b10) 2022 Khowaja, Ghufran, Ahsan (b7) 2012; 82 Abo-Sinna (b41) 2001; 38 Czyzyk, Mesnier, Moré (b45) 1998; 5 Ghufran, Gupta, Ahmed (b9) 2020 Khan, Khan, Ahsan (b29) 2008; 62 Ke, Su, Ni (b22) 2015; 19 Candler (10.1016/j.knosys.2023.110839_b12) 1981; 63 Jalil (10.1016/j.knosys.2023.110839_b14) 2018; 9 Gupta (10.1016/j.knosys.2023.110839_b10) 2022 Varshney (10.1016/j.knosys.2023.110839_b30) 2011; 10 Asim (10.1016/j.knosys.2023.110839_b19) 2021; 16 Muneeb (10.1016/j.knosys.2023.110839_b16) 2018; 16 Khan (10.1016/j.knosys.2023.110839_b29) 2008; 62 Muhammad (10.1016/j.knosys.2023.110839_b35) 2015; 14 Önal (10.1016/j.knosys.2023.110839_b13) 1995; 22 An (10.1016/j.knosys.2023.110839_b20) 2023 Ryu (10.1016/j.knosys.2023.110839_b15) 2005 Díaz-García (10.1016/j.knosys.2023.110839_b28) 2007; 51 Friede (10.1016/j.knosys.2023.110839_b11) 1988; 72 Varshney (10.1016/j.knosys.2023.110839_b37) 2019; 89 Varshney (10.1016/j.knosys.2023.110839_b31) 2012; 6 Qian (10.1016/j.knosys.2023.110839_b23) 2022; 140 Dolan (10.1016/j.knosys.2023.110839_b46) 2001 Freitag (10.1016/j.knosys.2023.110839_b25) 2020; 119 Haq (10.1016/j.knosys.2023.110839_b38) 2020; 90 Hansen (10.1016/j.knosys.2023.110839_b4) 2004; 58 Abo-Sinna (10.1016/j.knosys.2023.110839_b41) 2001; 38 Filip (10.1016/j.knosys.2023.110839_b21) 1985; 6 Gropp (10.1016/j.knosys.2023.110839_b44) 1997 Khowaja (10.1016/j.knosys.2023.110839_b6) 2011; 40 Majumder (10.1016/j.knosys.2023.110839_b26) 2019; 36 Sukhatme (10.1016/j.knosys.2023.110839_b3) 1984 Asim (10.1016/j.knosys.2023.110839_b18) 2019; 17 Haseen (10.1016/j.knosys.2023.110839_b36) 2016; 45 Khowaja (10.1016/j.knosys.2023.110839_b7) 2012; 82 Raghav (10.1016/j.knosys.2023.110839_b33) 2014; 84 Ben-Ayed (10.1016/j.knosys.2023.110839_b40) 1990; 38 Czyzyk (10.1016/j.knosys.2023.110839_b45) 1998; 5 Fourer (10.1016/j.knosys.2023.110839_b43) 1987 Ghufran (10.1016/j.knosys.2023.110839_b9) 2020 Hansen (10.1016/j.knosys.2023.110839_b39) 1946; 41 Dıaz-Garcıa (10.1016/j.knosys.2023.110839_b5) 2006 Ali (10.1016/j.knosys.2023.110839_b34) 2015; 8 Jalil (10.1016/j.knosys.2023.110839_b17) 2019; 14 Varshney (10.1016/j.knosys.2023.110839_b8) 2017 Ke (10.1016/j.knosys.2023.110839_b22) 2015; 19 Kokan (10.1016/j.knosys.2023.110839_b1) 1967; 29 Majumder (10.1016/j.knosys.2023.110839_b27) 2022; 14 Cochran (10.1016/j.knosys.2023.110839_b2) 1977; 3 Osman (10.1016/j.knosys.2023.110839_b42) 2004; 153 Chacko (10.1016/j.knosys.2023.110839_b24) 2023 Ali (10.1016/j.knosys.2023.110839_b32) 2013; 83 |
| References_xml | – volume: 62 start-page: 42 year: 2008 end-page: 48 ident: b29 article-title: Optimum allocation in multivariate stratified sampling in presence of non-response publication-title: J. Indian Soc. Agricultural Statist. – year: 2023 ident: b20 article-title: Integrated optimization of real-time order acceptance and flexible job-shop rescheduling with multi-level imperfect maintenance constraints publication-title: Swarm Evol. Comput. – volume: 29 start-page: 115 year: 1967 end-page: 125 ident: b1 article-title: Optimum allocation in multivariate surveys: An analytical solution publication-title: J. R. Stat. Soc. Ser. B Stat. Methodol. – year: 2001 ident: b46 article-title: NEOS Server 4.0 administrative guide – volume: 36 year: 2019 ident: b26 article-title: Rough-fuzzy quadratic minimum spanning tree problem publication-title: Expert Syst. – volume: 41 start-page: 517 year: 1946 end-page: 529 ident: b39 article-title: The problem of non-response in sample surveys publication-title: J. Amer. Statist. Assoc. – volume: 38 start-page: 556 year: 1990 end-page: 560 ident: b40 article-title: Computational difficulties of bilevel linear programming publication-title: Oper. Res. – volume: 6 start-page: 47 year: 1985 end-page: 57 ident: b21 article-title: Multilevel optimization algorithms in computer aided production control in process industry publication-title: Comput. Ind. – start-page: 829 year: 2017 end-page: 855 ident: b8 article-title: An optimum multivariate-multiobjective stratified sampling design: Fuzzy programming approach publication-title: Pak. J. Stat. Oper. Res. – volume: 22 start-page: 227 year: 1995 end-page: 236 ident: b13 article-title: A multilevel analysis of agricultural credit distribution in East Java, Indonesia publication-title: Comput. Oper. Res. – volume: 45 start-page: 2810 year: 2016 end-page: 2826 ident: b36 article-title: Multiobjective stochastic multivariate stratified sampling in presence of nonresponse publication-title: Comm. Statist. Simulation Comput. – volume: 14 start-page: 106 year: 2022 ident: b27 article-title: On multi-objective minimum spanning tree problem under uncertain paradigm publication-title: Symmetry – volume: 90 start-page: 1557 year: 2020 end-page: 1569 ident: b38 article-title: Compromise allocation problem in multivariate stratified sampling with flexible fuzzy goals publication-title: J. Stat. Comput. Simul. – volume: 58 start-page: 292 year: 2004 end-page: 294 ident: b4 article-title: History corner-the problem of nonresponse in sample surveys publication-title: Amer. Statist. – volume: 140 start-page: 156 year: 2022 end-page: 172 ident: b23 article-title: Hierarchical sequential three-way decision model publication-title: Internat. J. Approx. Reason. – start-page: 1 year: 2022 end-page: 20 ident: b10 article-title: Problem of compromise allocation in multivariate stratified sampling using intuitionistic fuzzy programming publication-title: Ann. Data Sci. – volume: 6 start-page: 993 year: 2012 end-page: 1008 ident: b31 article-title: An optimum multivariate stratified double sampling design in presence of non-response publication-title: Optim. Lett. – volume: 19 start-page: 1739 year: 2015 end-page: 1746 ident: b22 article-title: Uncertain random multilevel programming with application to production control problem publication-title: Soft Comput. – year: 2023 ident: b24 article-title: How to optimize my blockchain? A multi-level recommendation approach – year: 1987 ident: b43 article-title: AMPL: A mathematical programming language – volume: 16 start-page: 765 year: 2021 end-page: 798 ident: b19 article-title: A bi-level multi objective programming approach to solve grey problems: an application to closed loop supply chain network publication-title: J. Model. Manag. – volume: 83 start-page: 962 year: 2013 end-page: 976 ident: b32 article-title: Compromise allocation in multivariate stratified surveys with stochastic quadratic cost function publication-title: J. Stat. Comput. Simul. – volume: 119 start-page: 81 year: 2020 end-page: 91 ident: b25 article-title: Multilevel surrogate modeling approach for optimization problems with polymorphic uncertain parameters publication-title: Internat. J. Approx. Reason. – volume: 3 start-page: 89 year: 1977 end-page: 110 ident: b2 article-title: Stratified random sampling publication-title: Sampl. Tech. – volume: 14 start-page: 255 year: 2015 end-page: 265 ident: b35 article-title: Multi-objective compromise allocation in multivariate stratified sampling using extended lexicographic goal programming with gamma cost function publication-title: J. Math. Model. Algorithms Oper. Res. – volume: 89 start-page: 2454 year: 2019 end-page: 2467 ident: b37 article-title: Optimum allocation in multivariate stratified sampling design in the presence of nonresponse with Gamma cost function publication-title: J. Stat. Comput. Simul. – year: 2006 ident: b5 article-title: Optimum allocation in multivariate stratified sampling: multi-objective programming publication-title: Comunicación Técnica No. I-06-07/28-03-206 (PE/CIMAT) – volume: 82 start-page: 1789 year: 2012 end-page: 1798 ident: b7 article-title: Multi-objective optimization for optimum allocation in multivariate stratified sampling with quadratic cost publication-title: J. Stat. Comput. Simul. – volume: 10 start-page: 393 year: 2011 end-page: 405 ident: b30 article-title: An optimum multivariate stratified sampling design with nonresponse: a lexicographic goal programming approach publication-title: J. Math. Model. Algorithms – start-page: 571 year: 2005 end-page: 576 ident: b15 article-title: A multi-level programming optimization approach to enterprise-wide supply chain planning publication-title: Computer Aided Chemical Engineering, Vol. 20 – volume: 14 start-page: 206 year: 2019 end-page: 217 ident: b17 article-title: A de-centralized bi-level multi-objective model for integrated production and transportation problems in closed-loop supply chain networks publication-title: Int. J. Manag. Sci. Eng. Manag. – volume: 51 start-page: 3016 year: 2007 end-page: 3026 ident: b28 article-title: Optimum allocation in stratified surveys: Stochastic programming publication-title: Comput. Statist. Data Anal. – volume: 8 start-page: 28 year: 2015 end-page: 43 ident: b34 article-title: Geometric programming approach in multivariate stratified sample surveys in case of non-response publication-title: Electron. J. Appl. Stat. Anal. – volume: 5 start-page: 68 year: 1998 end-page: 75 ident: b45 article-title: The NEOS server publication-title: IEEE Comput. Sci. Eng. – volume: 63 start-page: 521 year: 1981 end-page: 531 ident: b12 article-title: The potential role of multilevel programming in agricultural economics publication-title: Am. J. Agric. Econ. – year: 1997 ident: b44 article-title: Optimization Environments and the NEOS Server (No. ANL/MCS-P-654-0397; CONF-9607197-1) – volume: 38 start-page: 484 year: 2001 end-page: 495 ident: b41 article-title: A bi-level non-linear multi-objective decision making under fuzziness publication-title: Opsearch – volume: 40 start-page: 710 year: 2011 end-page: 718 ident: b6 article-title: Estimation of population means in multivariate stratified random sampling publication-title: Comm. Statist. Simulation Comput. – start-page: 1 year: 2020 end-page: 12 ident: b9 article-title: A fuzzy compromise approach for solving multi-objective stratified sampling design publication-title: Neural Comput. Appl. – volume: 153 start-page: 239 year: 2004 end-page: 252 ident: b42 article-title: A multi-level non-linear multi-objective decision-making under fuzziness publication-title: Appl. Math. Comput. – volume: 84 start-page: 22 year: 2014 end-page: 36 ident: b33 article-title: Multi-objective nonlinear programming problem approach in multivariate stratified sample surveys in the case of non-response publication-title: J. Stat. Comput. Simul. – volume: 16 start-page: 33 year: 2018 end-page: 44 ident: b16 article-title: Decentralized bi-level decision planning model for municipal solid waste recycling and management with cost reliability under uncertain environment publication-title: Sustain. Prod. Consum. – volume: 17 start-page: 298 year: 2019 end-page: 310 ident: b18 article-title: An uncertain model for integrated production-transportation closed-loop supply chain network with cost reliability publication-title: Sustain. Prod. Consum. – start-page: 21 year: 1984 end-page: 25 ident: b3 article-title: Sampling theory of surveys with applications – volume: 9 start-page: 1022 year: 2018 end-page: 1033 ident: b14 article-title: A decentralized multi-level decision making model for solid transportation problem with uncertainty publication-title: Int. J. Syst. Assur. Eng. Manag. – volume: 72 start-page: 152 year: 1988 end-page: 157 ident: b11 article-title: Older maternal age and infant mortality in the United States publication-title: Obstet. Gynecol. – year: 2023 ident: 10.1016/j.knosys.2023.110839_b20 article-title: Integrated optimization of real-time order acceptance and flexible job-shop rescheduling with multi-level imperfect maintenance constraints publication-title: Swarm Evol. Comput. doi: 10.1016/j.swevo.2023.101243 – volume: 119 start-page: 81 year: 2020 ident: 10.1016/j.knosys.2023.110839_b25 article-title: Multilevel surrogate modeling approach for optimization problems with polymorphic uncertain parameters publication-title: Internat. J. Approx. Reason. doi: 10.1016/j.ijar.2019.12.015 – year: 1987 ident: 10.1016/j.knosys.2023.110839_b43 – volume: 38 start-page: 556 issue: 3 year: 1990 ident: 10.1016/j.knosys.2023.110839_b40 article-title: Computational difficulties of bilevel linear programming publication-title: Oper. Res. doi: 10.1287/opre.38.3.556 – volume: 45 start-page: 2810 issue: 8 year: 2016 ident: 10.1016/j.knosys.2023.110839_b36 article-title: Multiobjective stochastic multivariate stratified sampling in presence of nonresponse publication-title: Comm. Statist. Simulation Comput. doi: 10.1080/03610918.2014.926173 – start-page: 1 year: 2022 ident: 10.1016/j.knosys.2023.110839_b10 article-title: Problem of compromise allocation in multivariate stratified sampling using intuitionistic fuzzy programming publication-title: Ann. Data Sci. – volume: 9 start-page: 1022 issue: 5 year: 2018 ident: 10.1016/j.knosys.2023.110839_b14 article-title: A decentralized multi-level decision making model for solid transportation problem with uncertainty publication-title: Int. J. Syst. Assur. Eng. Manag. doi: 10.1007/s13198-018-0720-2 – volume: 51 start-page: 3016 issue: 6 year: 2007 ident: 10.1016/j.knosys.2023.110839_b28 article-title: Optimum allocation in stratified surveys: Stochastic programming publication-title: Comput. Statist. Data Anal. doi: 10.1016/j.csda.2006.01.016 – volume: 5 start-page: 68 issue: 3 year: 1998 ident: 10.1016/j.knosys.2023.110839_b45 article-title: The NEOS server publication-title: IEEE Comput. Sci. Eng. doi: 10.1109/99.714603 – volume: 63 start-page: 521 issue: 3 year: 1981 ident: 10.1016/j.knosys.2023.110839_b12 article-title: The potential role of multilevel programming in agricultural economics publication-title: Am. J. Agric. Econ. doi: 10.2307/1240543 – volume: 83 start-page: 962 issue: 5 year: 2013 ident: 10.1016/j.knosys.2023.110839_b32 article-title: Compromise allocation in multivariate stratified surveys with stochastic quadratic cost function publication-title: J. Stat. Comput. Simul. doi: 10.1080/00949655.2011.643890 – start-page: 571 year: 2005 ident: 10.1016/j.knosys.2023.110839_b15 article-title: A multi-level programming optimization approach to enterprise-wide supply chain planning doi: 10.1016/S1570-7946(05)80217-2 – year: 2006 ident: 10.1016/j.knosys.2023.110839_b5 article-title: Optimum allocation in multivariate stratified sampling: multi-objective programming – volume: 16 start-page: 765 issue: 3 year: 2021 ident: 10.1016/j.knosys.2023.110839_b19 article-title: A bi-level multi objective programming approach to solve grey problems: an application to closed loop supply chain network publication-title: J. Model. Manag. doi: 10.1108/JM2-07-2018-0107 – volume: 36 issue: 2 year: 2019 ident: 10.1016/j.knosys.2023.110839_b26 article-title: Rough-fuzzy quadratic minimum spanning tree problem publication-title: Expert Syst. doi: 10.1111/exsy.12364 – volume: 6 start-page: 47 issue: 1 year: 1985 ident: 10.1016/j.knosys.2023.110839_b21 article-title: Multilevel optimization algorithms in computer aided production control in process industry publication-title: Comput. Ind. doi: 10.1016/0166-3615(85)90069-7 – volume: 8 start-page: 28 issue: 1 year: 2015 ident: 10.1016/j.knosys.2023.110839_b34 article-title: Geometric programming approach in multivariate stratified sample surveys in case of non-response publication-title: Electron. J. Appl. Stat. Anal. – volume: 17 start-page: 298 year: 2019 ident: 10.1016/j.knosys.2023.110839_b18 article-title: An uncertain model for integrated production-transportation closed-loop supply chain network with cost reliability publication-title: Sustain. Prod. Consum. doi: 10.1016/j.spc.2018.11.010 – volume: 38 start-page: 484 issue: 5 year: 2001 ident: 10.1016/j.knosys.2023.110839_b41 article-title: A bi-level non-linear multi-objective decision making under fuzziness publication-title: Opsearch doi: 10.1007/BF03398652 – volume: 153 start-page: 239 issue: 1 year: 2004 ident: 10.1016/j.knosys.2023.110839_b42 article-title: A multi-level non-linear multi-objective decision-making under fuzziness publication-title: Appl. Math. Comput. – volume: 3 start-page: 89 year: 1977 ident: 10.1016/j.knosys.2023.110839_b2 article-title: Stratified random sampling publication-title: Sampl. Tech. – volume: 58 start-page: 292 issue: 4 year: 2004 ident: 10.1016/j.knosys.2023.110839_b4 article-title: History corner-the problem of nonresponse in sample surveys publication-title: Amer. Statist. doi: 10.1198/000313004X6328 – start-page: 829 year: 2017 ident: 10.1016/j.knosys.2023.110839_b8 article-title: An optimum multivariate-multiobjective stratified sampling design: Fuzzy programming approach publication-title: Pak. J. Stat. Oper. Res. doi: 10.18187/pjsor.v13i4.1834 – volume: 6 start-page: 993 issue: 5 year: 2012 ident: 10.1016/j.knosys.2023.110839_b31 article-title: An optimum multivariate stratified double sampling design in presence of non-response publication-title: Optim. Lett. doi: 10.1007/s11590-011-0329-8 – year: 1997 ident: 10.1016/j.knosys.2023.110839_b44 – year: 2001 ident: 10.1016/j.knosys.2023.110839_b46 – volume: 82 start-page: 1789 issue: 12 year: 2012 ident: 10.1016/j.knosys.2023.110839_b7 article-title: Multi-objective optimization for optimum allocation in multivariate stratified sampling with quadratic cost publication-title: J. Stat. Comput. Simul. doi: 10.1080/00949655.2011.595716 – volume: 22 start-page: 227 issue: 2 year: 1995 ident: 10.1016/j.knosys.2023.110839_b13 article-title: A multilevel analysis of agricultural credit distribution in East Java, Indonesia publication-title: Comput. Oper. Res. doi: 10.1016/0305-0548(94)P3670-7 – year: 2023 ident: 10.1016/j.knosys.2023.110839_b24 – start-page: 1 year: 2020 ident: 10.1016/j.knosys.2023.110839_b9 article-title: A fuzzy compromise approach for solving multi-objective stratified sampling design publication-title: Neural Comput. Appl. – volume: 62 start-page: 42 issue: 1 year: 2008 ident: 10.1016/j.knosys.2023.110839_b29 article-title: Optimum allocation in multivariate stratified sampling in presence of non-response publication-title: J. Indian Soc. Agricultural Statist. – volume: 19 start-page: 1739 issue: 6 year: 2015 ident: 10.1016/j.knosys.2023.110839_b22 article-title: Uncertain random multilevel programming with application to production control problem publication-title: Soft Comput. doi: 10.1007/s00500-014-1361-2 – volume: 84 start-page: 22 issue: 1 year: 2014 ident: 10.1016/j.knosys.2023.110839_b33 article-title: Multi-objective nonlinear programming problem approach in multivariate stratified sample surveys in the case of non-response publication-title: J. Stat. Comput. Simul. doi: 10.1080/00949655.2012.692370 – volume: 89 start-page: 2454 issue: 13 year: 2019 ident: 10.1016/j.knosys.2023.110839_b37 article-title: Optimum allocation in multivariate stratified sampling design in the presence of nonresponse with Gamma cost function publication-title: J. Stat. Comput. Simul. doi: 10.1080/00949655.2019.1620747 – start-page: 21 year: 1984 ident: 10.1016/j.knosys.2023.110839_b3 – volume: 14 start-page: 106 issue: 1 year: 2022 ident: 10.1016/j.knosys.2023.110839_b27 article-title: On multi-objective minimum spanning tree problem under uncertain paradigm publication-title: Symmetry doi: 10.3390/sym14010106 – volume: 29 start-page: 115 issue: 1 year: 1967 ident: 10.1016/j.knosys.2023.110839_b1 article-title: Optimum allocation in multivariate surveys: An analytical solution publication-title: J. R. Stat. Soc. Ser. B Stat. Methodol. doi: 10.1111/j.2517-6161.1967.tb00679.x – volume: 90 start-page: 1557 issue: 9 year: 2020 ident: 10.1016/j.knosys.2023.110839_b38 article-title: Compromise allocation problem in multivariate stratified sampling with flexible fuzzy goals publication-title: J. Stat. Comput. Simul. doi: 10.1080/00949655.2020.1734808 – volume: 16 start-page: 33 year: 2018 ident: 10.1016/j.knosys.2023.110839_b16 article-title: Decentralized bi-level decision planning model for municipal solid waste recycling and management with cost reliability under uncertain environment publication-title: Sustain. Prod. Consum. doi: 10.1016/j.spc.2018.05.009 – volume: 14 start-page: 255 issue: 3 year: 2015 ident: 10.1016/j.knosys.2023.110839_b35 article-title: Multi-objective compromise allocation in multivariate stratified sampling using extended lexicographic goal programming with gamma cost function publication-title: J. Math. Model. Algorithms Oper. Res. doi: 10.1007/s10852-014-9270-z – volume: 40 start-page: 710 issue: 5 year: 2011 ident: 10.1016/j.knosys.2023.110839_b6 article-title: Estimation of population means in multivariate stratified random sampling publication-title: Comm. Statist. Simulation Comput. doi: 10.1080/03610918.2010.551014 – volume: 72 start-page: 152 issue: 2 year: 1988 ident: 10.1016/j.knosys.2023.110839_b11 article-title: Older maternal age and infant mortality in the United States publication-title: Obstet. Gynecol. – volume: 41 start-page: 517 issue: 236 year: 1946 ident: 10.1016/j.knosys.2023.110839_b39 article-title: The problem of non-response in sample surveys publication-title: J. Amer. Statist. Assoc. doi: 10.1080/01621459.1946.10501894 – volume: 140 start-page: 156 year: 2022 ident: 10.1016/j.knosys.2023.110839_b23 article-title: Hierarchical sequential three-way decision model publication-title: Internat. J. Approx. Reason. doi: 10.1016/j.ijar.2021.10.004 – volume: 14 start-page: 206 issue: 3 year: 2019 ident: 10.1016/j.knosys.2023.110839_b17 article-title: A de-centralized bi-level multi-objective model for integrated production and transportation problems in closed-loop supply chain networks publication-title: Int. J. Manag. Sci. Eng. Manag. – volume: 10 start-page: 393 issue: 4 year: 2011 ident: 10.1016/j.knosys.2023.110839_b30 article-title: An optimum multivariate stratified sampling design with nonresponse: a lexicographic goal programming approach publication-title: J. Math. Model. Algorithms doi: 10.1007/s10852-011-9164-2 |
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