Uncertain Programming in Preliminary Design of Technical Systems with Uncertain Parameters
The work is devoted to preliminary design of technical systems with uncertain parameters in absence of statistic. Optimization models with uncertain variables as the uncertain multiobjective programming models of B. Liu are considered. We offer the uncertain programming models with different ranking...
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| Veröffentlicht in: | Procedia computer science Jg. 103; S. 36 - 43 |
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| Sprache: | Englisch |
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2017
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| Abstract | The work is devoted to preliminary design of technical systems with uncertain parameters in absence of statistic. Optimization models with uncertain variables as the uncertain multiobjective programming models of B. Liu are considered. We offer the uncertain programming models with different ranking criteria and present technique of solving problems of uncertain programming. Decision of the preliminary aerodynamic design problem as the problem of uncertain programming are described. |
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| AbstractList | The work is devoted to preliminary design of technical systems with uncertain parameters in absence of statistic. Optimization models with uncertain variables as the uncertain multiobjective programming models of B. Liu are considered. We offer the uncertain programming models with different ranking criteria and present technique of solving problems of uncertain programming. Decision of the preliminary aerodynamic design problem as the problem of uncertain programming are described. |
| Author | Pankova, L.A. Veresnikov, G.S. Pronina, V.A. |
| Author_xml | – sequence: 1 givenname: G.S. surname: Veresnikov fullname: Veresnikov, G.S. email: veresnikov@mail.ru – sequence: 2 givenname: L.A. surname: Pankova fullname: Pankova, L.A. – sequence: 3 givenname: V.A. surname: Pronina fullname: Pronina, V.A. |
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| Cites_doi | 10.1007/978-94-010-0646-0 10.1007/978-3-540-89484-1 10.1109/IRI.2008.4582989 10.1007/978-3-662-44354-5 10.4236/am.2010.13023 10.1002/wics.82 |
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| Keywords | optimization model uncertain parameter preliminary design uncertain programming |
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| References | (A), 1069-1076. Belotserkovskiy, Khlopkov (bib0090) 2006; 46 317-332. Bruns, M., Paredisa C., Ferson S. 2006. Computational Methods for Decision Making based on Imprecise Information. Proceedings of the Reliable Engineering Computing Workshop (REC’06), Savannah, GA, February 22-24. Zimmermann H-J. 2010. Fuzzy set theory. Inc.WIREs Comp Stat, John Wiley&Sons , Egorov I., Leshchenko I. Kretinin G. 2010. Avtomatizirovannaya sistema «KOMPEKS» dlya resheniya zadach optimalnogo soglasovaniya sistemy “samolet - dvigatel” po veroyatnostnym kriteriyam. Sbornik tezisov 3 Mezhdunarodnoy NTK TsIAM, Moskva. Liu B. 2009. Theory and Practice of Uncertain Programming, 2nd ed., Springer-Verlag, Berlin. Ding S. 2013. A New Uncertain Programming Model for Grain Supply Chain Design. An International Interdisciplinary Journal Veresnikov G., Pankova L., Pronina V. 2015. Reshenie zadachi predvaritel’nogo aèrodinamicheskogo proektirovanija letatel’nyh apparatov v uslovijah neopredelënnosti vhodnyh dannyh, 70. Liu B. 2007. Uncertainty Theory, Berlin: Springer-Verlag. Rong (bib0045) 2011; 8 Liu B. 2015. Uncertainty Theory (5th edition): http://orsc.edu.cn/liu/ut.pdf. Yugov A., Selivanov O. 1989. Osnovy integratsii samoleta i dvigatelya, M., Mashinostroyeniye, 302. Kolokolova L. 1995. Metod obobshchennykh modeley svoystv samoleta dlya etapa rannego proyektirovaniya. TVF, 5-6. Bhattacharyya, Chatterjee, Kar (bib0050) 2010; 1 Zimmermann H-J. 2001. Fuzzy Set Theory and Applications, 4th Rev. ed. Boston: Kluwer Academic Publishers. Zhu (bib0075) 2012; 6 Nemirovski A. 2012. Lectures on Robust Convex Optimization http://www2.isye.gatech.edu/∼nemirovs/RO_LN.pdf. Wagenknecht M., Yazenin A. 2012. Possibilistic optimization, Tver, TvGU. Zadeh L. 2008. Computation with imprecise probabilities. Proceeding of 7-th Inernetional Conference on Application of Fuzzy System and Soft Computing (ICAFS 2008), 1-3. Yang Z. 2010. Critical Values of Function of Uncertain Variables. Proc. First International Conference on Uncertainty Theory, Urumchi, China, 256-258. 10.1016/j.procs.2017.01.007_bib0005 10.1016/j.procs.2017.01.007_bib0025 10.1016/j.procs.2017.01.007_bib0015 10.1016/j.procs.2017.01.007_bib0035 10.1016/j.procs.2017.01.007_bib0080 Zhu (10.1016/j.procs.2017.01.007_bib0075) 2012; 6 10.1016/j.procs.2017.01.007_bib0010 10.1016/j.procs.2017.01.007_bib0065 Bhattacharyya (10.1016/j.procs.2017.01.007_bib0050) 2010; 1 10.1016/j.procs.2017.01.007_bib0055 10.1016/j.procs.2017.01.007_bib0030 10.1016/j.procs.2017.01.007_bib0085 10.1016/j.procs.2017.01.007_bib0020 Belotserkovskiy (10.1016/j.procs.2017.01.007_bib0090) 2006; 46 10.1016/j.procs.2017.01.007_bib0040 10.1016/j.procs.2017.01.007_bib0095 Rong (10.1016/j.procs.2017.01.007_bib0045) 2011; 8 10.1016/j.procs.2017.01.007_bib0070 10.1016/j.procs.2017.01.007_bib0060 |
| References_xml | – reference: Yang Z. 2010. Critical Values of Function of Uncertain Variables. Proc. First International Conference on Uncertainty Theory, Urumchi, China, 256-258. – reference: Liu B. 2009. Theory and Practice of Uncertain Programming, 2nd ed., Springer-Verlag, Berlin. – reference: Liu B. 2015. Uncertainty Theory (5th edition): http://orsc.edu.cn/liu/ut.pdf. – volume: 1 start-page: 189 year: 2010 end-page: 199 ident: bib0050 article-title: Uncertainty Theory Based Novel Multi-Objective Optimization Technique Using Embedding Theorem with Application to R & D Project Portfolio Selection publication-title: Applied Mathematics – reference: , – reference: , 317-332. – reference: (A), 1069-1076. – volume: 46 start-page: 1494 year: 2006 end-page: 1518 ident: bib0090 article-title: Metody Monte-Karlo v prikladnoy matematike i vychislitelnoy aerodinamike publication-title: Zh. vychisl. matem. i matem. fiz. – reference: Nemirovski A. 2012. Lectures on Robust Convex Optimization http://www2.isye.gatech.edu/∼nemirovs/RO_LN.pdf. – reference: Ding S. 2013. A New Uncertain Programming Model for Grain Supply Chain Design. An International Interdisciplinary Journal, – reference: Veresnikov G., Pankova L., Pronina V. 2015. Reshenie zadachi predvaritel’nogo aèrodinamicheskogo proektirovanija letatel’nyh apparatov v uslovijah neopredelënnosti vhodnyh dannyh, 70. – reference: Yugov A., Selivanov O. 1989. Osnovy integratsii samoleta i dvigatelya, M., Mashinostroyeniye, 302. – reference: Zimmermann H-J. 2010. Fuzzy set theory. Inc.WIREs Comp Stat, John Wiley&Sons, – reference: Bruns, M., Paredisa C., Ferson S. 2006. Computational Methods for Decision Making based on Imprecise Information. Proceedings of the Reliable Engineering Computing Workshop (REC’06), Savannah, GA, February 22-24. – volume: 8 start-page: 280 year: 2011 end-page: 288 ident: bib0045 article-title: Two New Uncertainty Programming Models of Inventory with Uncertain Costs publication-title: J Inf Comp Sci – reference: Zadeh L. 2008. Computation with imprecise probabilities. Proceeding of 7-th Inernetional Conference on Application of Fuzzy System and Soft Computing (ICAFS 2008), 1-3. – reference: Zimmermann H-J. 2001. Fuzzy Set Theory and Applications, 4th Rev. ed. Boston: Kluwer Academic Publishers. – reference: Liu B. 2007. Uncertainty Theory, Berlin: Springer-Verlag. – reference: Wagenknecht M., Yazenin A. 2012. Possibilistic optimization, Tver, TvGU. – volume: 6 start-page: 278 year: 2012 end-page: 288 ident: bib0075 article-title: Functions of Uncertain Variables and Uncertain Programming publication-title: Journal of Uncertain Systems – reference: Egorov I., Leshchenko I. Kretinin G. 2010. Avtomatizirovannaya sistema «KOMPEKS» dlya resheniya zadach optimalnogo soglasovaniya sistemy “samolet - dvigatel” po veroyatnostnym kriteriyam. Sbornik tezisov 3 Mezhdunarodnoy NTK TsIAM, Moskva. – reference: Kolokolova L. 1995. Metod obobshchennykh modeley svoystv samoleta dlya etapa rannego proyektirovaniya. TVF, 5-6. – ident: 10.1016/j.procs.2017.01.007_bib0020 doi: 10.1007/978-94-010-0646-0 – ident: 10.1016/j.procs.2017.01.007_bib0035 – ident: 10.1016/j.procs.2017.01.007_bib0060 – volume: 46 start-page: 1494 issue: 8 year: 2006 ident: 10.1016/j.procs.2017.01.007_bib0090 article-title: Metody Monte-Karlo v prikladnoy matematike i vychislitelnoy aerodinamike publication-title: Zh. vychisl. matem. i matem. fiz. – ident: 10.1016/j.procs.2017.01.007_bib0055 – ident: 10.1016/j.procs.2017.01.007_bib0080 – ident: 10.1016/j.procs.2017.01.007_bib0085 – ident: 10.1016/j.procs.2017.01.007_bib0040 doi: 10.1007/978-3-540-89484-1 – ident: 10.1016/j.procs.2017.01.007_bib0015 doi: 10.1109/IRI.2008.4582989 – ident: 10.1016/j.procs.2017.01.007_bib0065 doi: 10.1007/978-3-662-44354-5 – ident: 10.1016/j.procs.2017.01.007_bib0030 – ident: 10.1016/j.procs.2017.01.007_bib0070 – ident: 10.1016/j.procs.2017.01.007_bib0095 – volume: 1 start-page: 189 year: 2010 ident: 10.1016/j.procs.2017.01.007_bib0050 article-title: Uncertainty Theory Based Novel Multi-Objective Optimization Technique Using Embedding Theorem with Application to R & D Project Portfolio Selection publication-title: Applied Mathematics doi: 10.4236/am.2010.13023 – volume: 8 start-page: 280 issue: 2 year: 2011 ident: 10.1016/j.procs.2017.01.007_bib0045 article-title: Two New Uncertainty Programming Models of Inventory with Uncertain Costs publication-title: J Inf Comp Sci – volume: 6 start-page: 278 issue: 4 year: 2012 ident: 10.1016/j.procs.2017.01.007_bib0075 article-title: Functions of Uncertain Variables and Uncertain Programming publication-title: Journal of Uncertain Systems – ident: 10.1016/j.procs.2017.01.007_bib0025 – ident: 10.1016/j.procs.2017.01.007_bib0005 – ident: 10.1016/j.procs.2017.01.007_bib0010 doi: 10.1002/wics.82 |
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| Title | Uncertain Programming in Preliminary Design of Technical Systems with Uncertain Parameters |
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