Fixed charge solid transportation problem in uncertain environment and its algorithm
•Three models are proposed for uncertain fixed charge solid transportation problem.•The crisp equivalences of the models are discussed.•An algorithm is designed based on uncertainty theory and tabu search algorithm. In this paper, the fixed charge solid transportation problem under uncertainty is in...
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| Vydané v: | Computers & industrial engineering Ročník 102; s. 186 - 197 |
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| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier Ltd
01.12.2016
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| ISSN: | 0360-8352 |
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| Abstract | •Three models are proposed for uncertain fixed charge solid transportation problem.•The crisp equivalences of the models are discussed.•An algorithm is designed based on uncertainty theory and tabu search algorithm.
In this paper, the fixed charge solid transportation problem under uncertainty is investigated. As a result, three mathematical models are constructed for the problem, i.e., expected value model, chance-constrained programming model and measure-chance programming model, where the supplies, demands, conveyance capacities, direct costs and fixed charges are regarded as uncertain variables. After that, the crisp equivalences of the models are discussed. What is more, a hybrid intelligent algorithm is designed based on the uncertainty theory and tabu search algorithm to solve the models. Compared with the existing work, the innovations of the proposed work are briefly illustrated. Finally, some numerical examples are given to show the applications of the models and the algorithm. |
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| AbstractList | In this paper, the fixed charge solid transportation problem under uncertainty is investigated. As a result, three mathematical models are constructed for the problem, i.e., expected value model, chance-constrained programming model and measure-chance programming model, where the supplies, demands, conveyance capacities, direct costs and fixed charges are regarded as uncertain variables. After that, the crisp equivalences of the models are discussed. What is more, a hybrid intelligent algorithm is designed based on the uncertainty theory and tabu search algorithm to solve the models. Compared with the existing work, the innovations of the proposed work are briefly illustrated. Finally, some numerical examples are given to show the applications of the models and the algorithm. •Three models are proposed for uncertain fixed charge solid transportation problem.•The crisp equivalences of the models are discussed.•An algorithm is designed based on uncertainty theory and tabu search algorithm. In this paper, the fixed charge solid transportation problem under uncertainty is investigated. As a result, three mathematical models are constructed for the problem, i.e., expected value model, chance-constrained programming model and measure-chance programming model, where the supplies, demands, conveyance capacities, direct costs and fixed charges are regarded as uncertain variables. After that, the crisp equivalences of the models are discussed. What is more, a hybrid intelligent algorithm is designed based on the uncertainty theory and tabu search algorithm to solve the models. Compared with the existing work, the innovations of the proposed work are briefly illustrated. Finally, some numerical examples are given to show the applications of the models and the algorithm. |
| Author | Li, Shengguo Peng, Jin Chen, Lin Zhang, Bo |
| Author_xml | – sequence: 1 givenname: Bo surname: Zhang fullname: Zhang, Bo organization: School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, China – sequence: 2 givenname: Jin surname: Peng fullname: Peng, Jin email: pengjin01@tsinghua.org.cn organization: Institute of Uncertain Systems, Huanggang Normal University, Huanggang 438000, China – sequence: 3 givenname: Shengguo surname: Li fullname: Li, Shengguo organization: Institute of Uncertain Systems, Huanggang Normal University, Huanggang 438000, China – sequence: 4 givenname: Lin surname: Chen fullname: Chen, Lin organization: Institute of Systems Engineering, Tianjin University, Tianjin 300072, China |
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| Cites_doi | 10.1016/j.cie.2015.01.018 10.1016/j.ins.2013.11.029 10.1007/s12198-013-0108-0 10.1016/j.asoc.2012.11.016 10.1016/j.asoc.2009.12.039 10.1287/opre.11.5.759 10.12785/amis/080235 10.1287/ijoc.2.1.4 10.1080/02522667.1981.10698711 10.1016/j.asoc.2005.11.011 10.1002/nav.3800150306 10.1016/S0305-0548(99)00007-6 10.1080/01966324.2014.942474 10.1002/nav.3800190202 10.1002/nav.3800220115 10.1016/0360-8352(95)00130-S 10.1142/S0217595908001602 10.7232/iems.2012.11.2.183 10.1016/j.ejor.2011.04.040 10.1016/j.apm.2013.01.032 10.7232/iems.2013.12.1.030 10.1142/S021759591000279X 10.1287/opre.10.4.448 10.1016/j.omega.2013.06.005 10.2307/1914185 10.1016/j.camwa.2011.07.058 10.1016/j.enavi.2015.06.001 10.7232/iems.2012.11.1.018 10.1016/0305-0548(86)90048-1 10.1016/j.ins.2014.08.044 10.1016/j.apm.2011.09.042 10.1016/j.apm.2006.10.011 10.1287/opre.2014.1288 10.1287/ijoc.1.3.190 |
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| References | Haley (b0065) 1962; 10 Zhang, Peng (b0220) 2012; 11 Glover (b0050) 1989; 1 Liu (b0100) 2009; 3 Mou, Zhou, Chang (b0135) 2013; 12 Kahneman, Tversky (b0080) 1979; 47 Adlakha, Kowalski, Wang, Lev, Shen (b0005) 2014; 43 Pandian, Anuradha (b0140) 2010; 4 Han, Peng, Wang (b0070) 2014; 265 Pramanik, Jana, Maiti (b0150) 2013; 6 Liu (b0095) 2007 Sharma, Dahiya, Verma (b0165) 2010; 27 Mahapatra, Roy, Biswal (b0125) 2010; 14 Midya, Roy (b0130) 2014; 33 Gao (b0035) 2012; 36 Yang, Gao, Li (b0200) 2011; 11 Wilson (b0190) 1975; 22 Romeijn, Sargut (b0155) 2011; 214 Sabbagh, Ghafari, Mousavi (b0160) 2015; 82 Altassan, EI-Sherbiny, Abid (b0010) 2014; 8 Srinivasan, Thompson (b0180) 1972; 19 Glover (b0055) 1990; 2 Zhang, Peng (b0225) 2013; 37 Gen, Ida, Li, Kubota (b0040) 1995; 29 Gao (b0030) 2011; 62 Williams (b0185) 1963; 11 Liang (b0085) 2008; 25 Guo, Wang, Zhou (b0060) 2015; 2 Cui, Sheng (b0025) 2013; 16 Yang, Liu (b0205) 2007; 7 Liu (b0105) 2009 Bhatia (b0015) 1981; 2 Pandian, Natarajan (b0145) 2010; 4 Glover (b0045) 1986; 13 Hirsch, Dantzig (b0075) 1968; 15 Buson, Roberti, Toth (b0020) 2014; 62 Li, Lai (b0090) 2000; 27 Liu (b0110) 2010 Yang, Feng (b0195) 2007; 31 Yang, Liu, Li, Gao, Ralescu (b0210) 2015; 291 Liu (b0115) 2012; 6 Lotfi, Tavakkoli-Moghaddam (b0120) 2013; 13 Sheng, Yao (b0170) 2012; 11 Sheng, Yao (b0175) 2012; 15 Zhang, Chen (b0215) 2012; 15 Buson (10.1016/j.cie.2016.10.030_b0020) 2014; 62 Sabbagh (10.1016/j.cie.2016.10.030_b0160) 2015; 82 Liang (10.1016/j.cie.2016.10.030_b0085) 2008; 25 Sharma (10.1016/j.cie.2016.10.030_b0165) 2010; 27 Srinivasan (10.1016/j.cie.2016.10.030_b0180) 1972; 19 Sheng (10.1016/j.cie.2016.10.030_b0170) 2012; 11 Zhang (10.1016/j.cie.2016.10.030_b0225) 2013; 37 Adlakha (10.1016/j.cie.2016.10.030_b0005) 2014; 43 Altassan (10.1016/j.cie.2016.10.030_b0010) 2014; 8 Liu (10.1016/j.cie.2016.10.030_b0110) 2010 Liu (10.1016/j.cie.2016.10.030_b0115) 2012; 6 Kahneman (10.1016/j.cie.2016.10.030_b0080) 1979; 47 Yang (10.1016/j.cie.2016.10.030_b0210) 2015; 291 Hirsch (10.1016/j.cie.2016.10.030_b0075) 1968; 15 Wilson (10.1016/j.cie.2016.10.030_b0190) 1975; 22 Gen (10.1016/j.cie.2016.10.030_b0040) 1995; 29 Mahapatra (10.1016/j.cie.2016.10.030_b0125) 2010; 14 Pramanik (10.1016/j.cie.2016.10.030_b0150) 2013; 6 Lotfi (10.1016/j.cie.2016.10.030_b0120) 2013; 13 Han (10.1016/j.cie.2016.10.030_b0070) 2014; 265 Glover (10.1016/j.cie.2016.10.030_b0045) 1986; 13 Glover (10.1016/j.cie.2016.10.030_b0050) 1989; 1 Williams (10.1016/j.cie.2016.10.030_b0185) 1963; 11 Gao (10.1016/j.cie.2016.10.030_b0030) 2011; 62 Pandian (10.1016/j.cie.2016.10.030_b0145) 2010; 4 Yang (10.1016/j.cie.2016.10.030_b0205) 2007; 7 Yang (10.1016/j.cie.2016.10.030_b0195) 2007; 31 Zhang (10.1016/j.cie.2016.10.030_b0215) 2012; 15 Mou (10.1016/j.cie.2016.10.030_b0135) 2013; 12 Guo (10.1016/j.cie.2016.10.030_b0060) 2015; 2 Glover (10.1016/j.cie.2016.10.030_b0055) 1990; 2 Liu (10.1016/j.cie.2016.10.030_b0095) 2007 Bhatia (10.1016/j.cie.2016.10.030_b0015) 1981; 2 Sheng (10.1016/j.cie.2016.10.030_b0175) 2012; 15 Haley (10.1016/j.cie.2016.10.030_b0065) 1962; 10 Li (10.1016/j.cie.2016.10.030_b0090) 2000; 27 Yang (10.1016/j.cie.2016.10.030_b0200) 2011; 11 Romeijn (10.1016/j.cie.2016.10.030_b0155) 2011; 214 Gao (10.1016/j.cie.2016.10.030_b0035) 2012; 36 Liu (10.1016/j.cie.2016.10.030_b0100) 2009; 3 Zhang (10.1016/j.cie.2016.10.030_b0220) 2012; 11 Midya (10.1016/j.cie.2016.10.030_b0130) 2014; 33 Pandian (10.1016/j.cie.2016.10.030_b0140) 2010; 4 Cui (10.1016/j.cie.2016.10.030_b0025) 2013; 16 Liu (10.1016/j.cie.2016.10.030_b0105) 2009 |
| References_xml | – volume: 15 start-page: 3901 year: 2012 end-page: 3910 ident: b0215 article-title: A new uncertain programming model for project scheduling problem publication-title: Information: An International Interdisciplinary Journal – volume: 10 start-page: 448 year: 1962 end-page: 463 ident: b0065 article-title: The solid transportation problem publication-title: Operational Research – year: 2007 ident: b0095 article-title: Uncertainty theory – year: 2009 ident: b0105 article-title: Theory and practice of uncertain programming – volume: 13 start-page: 533 year: 1986 end-page: 549 ident: b0045 article-title: Future paths for integer programming and links to artificial intelligence publication-title: Computers Operations Research – volume: 15 start-page: 3179 year: 2012 end-page: 3186 ident: b0175 article-title: A transportation model with uncertain costs and demands publication-title: Information: An International Interdisciplinary Journal – volume: 15 start-page: 413 year: 1968 end-page: 424 ident: b0075 article-title: The fixed charge problem publication-title: Naval Research Logistics Quarterly – volume: 4 start-page: 3603 year: 2010 end-page: 3610 ident: b0140 article-title: A new approach for solving solid transportation problems publication-title: Applied Mathematical Sciences – volume: 265 start-page: 167 year: 2014 end-page: 175 ident: b0070 article-title: The maximum flow problem of uncertain network publication-title: Information Sciences – volume: 13 start-page: 2711 year: 2013 end-page: 2726 ident: b0120 article-title: A genetic algorithm using priority-based encoding with new operators for fixed charge transportation problems publication-title: Applied Soft Computing – volume: 27 start-page: 457 year: 2010 end-page: 476 ident: b0165 article-title: Capacitated two-stage time minimization transportation problem publication-title: Asia-Pacific Journal of Operational Research – volume: 62 start-page: 1095 year: 2014 end-page: 1106 ident: b0020 article-title: A reduced-cost iterated local search heuristic for the fixed-charge transportation problem publication-title: Operations Research – volume: 29 start-page: 537 year: 1995 end-page: 541 ident: b0040 article-title: Solving bicriteria solid transportation problem with fuzzy numbers by a genetic algorithm publication-title: Computers Industrial Engineering – volume: 31 start-page: 2668 year: 2007 end-page: 2683 ident: b0195 article-title: A bicriteria solid transportation problem with fixed charge under stochastic environment publication-title: Applied Mathematical Modelling – volume: 3 start-page: 3 year: 2009 end-page: 10 ident: b0100 article-title: Some research problems in uncertainty theory publication-title: Journal of Uncertain Systems – volume: 22 start-page: 181 year: 1975 end-page: 187 ident: b0190 article-title: A mean cost approximation for transportation problems with stochastic demand publication-title: Naval Research Logistics Quarterly – volume: 291 start-page: 204 year: 2015 end-page: 237 ident: b0210 article-title: Reduction methods of type-2 uncertain variables and their applications to solid transportation problem publication-title: Information Science – volume: 6 start-page: 131 year: 2013 end-page: 150 ident: b0150 article-title: Multi-objective solid transportation problem in imprecise environments publication-title: Journal of Transportation Security – volume: 11 start-page: 18 year: 2012 end-page: 25 ident: b0220 article-title: Uncertain programming model for Chinese postman problem with uncertain weights publication-title: Industrial Engineering Management Systems – volume: 6 start-page: 3 year: 2012 end-page: 10 ident: b0115 article-title: Why is there a need for uncertainty theory? publication-title: Journal of Uncertain Systems – volume: 7 start-page: 879 year: 2007 end-page: 889 ident: b0205 article-title: Fuzzy fixed charge solid transportation problem and algorithm publication-title: Applied Soft Computing – volume: 37 start-page: 6458 year: 2013 end-page: 6468 ident: b0225 article-title: Uncertain programming model for uncertain optimal assignment problem publication-title: Applied Mathematical Modelling – volume: 33 start-page: 300 year: 2014 end-page: 314 ident: b0130 article-title: Solving single-sink, fixed-charge, multi-objective, multi-index stochastic transportation problem publication-title: American Journal of Mathematical and Management Sciences – volume: 27 start-page: 43 year: 2000 end-page: 57 ident: b0090 article-title: A fuzzy approach to the multiobjective transportation problem publication-title: Computers Operations Research – volume: 36 start-page: 2592 year: 2012 end-page: 2599 ident: b0035 article-title: Uncertain models for single facility location problems on networks publication-title: Applied Mathematical Modelling – volume: 82 start-page: 115 year: 2015 end-page: 126 ident: b0160 article-title: A new hybrid algorithm for the balanced transportation problem publication-title: Computers Industrial Engineering – volume: 62 start-page: 2591 year: 2011 end-page: 2600 ident: b0030 article-title: Shortest path problem with uncertain arc lengths publication-title: Computers and Mathematics with Applications – volume: 1 start-page: 190 year: 1989 end-page: 206 ident: b0050 article-title: Tabu search: Part I publication-title: ORSA Journal on Computing – volume: 11 start-page: 778 year: 2011 end-page: 792 ident: b0200 article-title: Railway freight transportation planning with mixed uncertainty of randomness and fuzziness publication-title: Applied Soft Computing – volume: 16 start-page: 1207 year: 2013 end-page: 1214 ident: b0025 article-title: Uncertain programming model for solid transportation problem publication-title: Information: An International Interdisciplinary Journal – volume: 11 start-page: 759 year: 1963 end-page: 770 ident: b0185 article-title: A stochastic transportation problem publication-title: Operations Research – volume: 2 start-page: 297 year: 1981 end-page: 303 ident: b0015 article-title: Indefinite quadratic solid transportation problem publication-title: Journal of Information Optimization Sciences – volume: 2 start-page: 4 year: 1990 end-page: 32 ident: b0055 article-title: Tabu search: Part II publication-title: ORSA Journal on Computing – volume: 12 start-page: 30 year: 2013 end-page: 35 ident: b0135 article-title: A transportation problem with uncertain truck times and unit costs publication-title: Industrial Engineering Management Systems – volume: 19 start-page: 205 year: 1972 end-page: 225 ident: b0180 article-title: An operator theory of parametric programming for the transportation problem-I publication-title: Naval Research Logistics Quarterly – volume: 8 start-page: 751 year: 2014 end-page: 759 ident: b0010 article-title: Artificial immune algorithm for solving fixed charge transportation problem publication-title: Applied Mathematics Information Sciences – volume: 14 start-page: 63 year: 2010 end-page: 76 ident: b0125 article-title: Multi-objective stochastic transportation problem involving log-normal publication-title: Journal of Physical Science – volume: 2 start-page: 1 year: 2015 end-page: 11 ident: b0060 article-title: A transportation problem with uncertain costs and random supplies publication-title: International Journal of e-Navigation and Maritime Economy – volume: 214 start-page: 262 year: 2011 end-page: 272 ident: b0155 article-title: The stochastic transportation problem with single sourcing publication-title: European Journal of Operation Research – year: 2010 ident: b0110 article-title: Uncertainty theory: A branch of mathematics for modeling human uncertainty – volume: 4 start-page: 59 year: 2010 end-page: 65 ident: b0145 article-title: A new method for finding an optimal solution for transportation problems publication-title: International Journal of Mathematical Sciences and Engineering Applications – volume: 47 start-page: 263 year: 1979 end-page: 292 ident: b0080 article-title: Prospect theory: An analysis of decision under risk publication-title: Econometrica – volume: 11 start-page: 183 year: 2012 end-page: 187 ident: b0170 article-title: Fixed charge transportation problem in uncertain environment publication-title: Industrial Engineering and Management Systems – volume: 43 start-page: 64 year: 2014 end-page: 70 ident: b0005 article-title: On approximation of the fixed charge transportation problem publication-title: Omega – volume: 25 start-page: 11 year: 2008 end-page: 31 ident: b0085 article-title: Interactive multi-objective transportation planning decisions using fuzzy, linear programming publication-title: Asia-Pacific Journal of Operational Research – volume: 82 start-page: 115 year: 2015 ident: 10.1016/j.cie.2016.10.030_b0160 article-title: A new hybrid algorithm for the balanced transportation problem publication-title: Computers Industrial Engineering doi: 10.1016/j.cie.2015.01.018 – volume: 265 start-page: 167 issue: 5 year: 2014 ident: 10.1016/j.cie.2016.10.030_b0070 article-title: The maximum flow problem of uncertain network publication-title: Information Sciences doi: 10.1016/j.ins.2013.11.029 – volume: 6 start-page: 131 issue: 2 year: 2013 ident: 10.1016/j.cie.2016.10.030_b0150 article-title: Multi-objective solid transportation problem in imprecise environments publication-title: Journal of Transportation Security doi: 10.1007/s12198-013-0108-0 – volume: 14 start-page: 63 year: 2010 ident: 10.1016/j.cie.2016.10.030_b0125 article-title: Multi-objective stochastic transportation problem involving log-normal publication-title: Journal of Physical Science – volume: 13 start-page: 2711 issue: 5 year: 2013 ident: 10.1016/j.cie.2016.10.030_b0120 article-title: A genetic algorithm using priority-based encoding with new operators for fixed charge transportation problems publication-title: Applied Soft Computing doi: 10.1016/j.asoc.2012.11.016 – volume: 11 start-page: 778 issue: 1 year: 2011 ident: 10.1016/j.cie.2016.10.030_b0200 article-title: Railway freight transportation planning with mixed uncertainty of randomness and fuzziness publication-title: Applied Soft Computing doi: 10.1016/j.asoc.2009.12.039 – volume: 11 start-page: 759 issue: 5 year: 1963 ident: 10.1016/j.cie.2016.10.030_b0185 article-title: A stochastic transportation problem publication-title: Operations Research doi: 10.1287/opre.11.5.759 – volume: 8 start-page: 751 issue: 2 year: 2014 ident: 10.1016/j.cie.2016.10.030_b0010 article-title: Artificial immune algorithm for solving fixed charge transportation problem publication-title: Applied Mathematics Information Sciences doi: 10.12785/amis/080235 – year: 2009 ident: 10.1016/j.cie.2016.10.030_b0105 – volume: 2 start-page: 4 year: 1990 ident: 10.1016/j.cie.2016.10.030_b0055 article-title: Tabu search: Part II publication-title: ORSA Journal on Computing doi: 10.1287/ijoc.2.1.4 – volume: 6 start-page: 3 issue: 1 year: 2012 ident: 10.1016/j.cie.2016.10.030_b0115 article-title: Why is there a need for uncertainty theory? publication-title: Journal of Uncertain Systems – volume: 2 start-page: 297 issue: 3 year: 1981 ident: 10.1016/j.cie.2016.10.030_b0015 article-title: Indefinite quadratic solid transportation problem publication-title: Journal of Information Optimization Sciences doi: 10.1080/02522667.1981.10698711 – volume: 4 start-page: 3603 year: 2010 ident: 10.1016/j.cie.2016.10.030_b0140 article-title: A new approach for solving solid transportation problems publication-title: Applied Mathematical Sciences – volume: 7 start-page: 879 issue: 3 year: 2007 ident: 10.1016/j.cie.2016.10.030_b0205 article-title: Fuzzy fixed charge solid transportation problem and algorithm publication-title: Applied Soft Computing doi: 10.1016/j.asoc.2005.11.011 – volume: 15 start-page: 413 issue: 3 year: 1968 ident: 10.1016/j.cie.2016.10.030_b0075 article-title: The fixed charge problem publication-title: Naval Research Logistics Quarterly doi: 10.1002/nav.3800150306 – volume: 27 start-page: 43 issue: 1 year: 2000 ident: 10.1016/j.cie.2016.10.030_b0090 article-title: A fuzzy approach to the multiobjective transportation problem publication-title: Computers Operations Research doi: 10.1016/S0305-0548(99)00007-6 – volume: 3 start-page: 3 issue: 1 year: 2009 ident: 10.1016/j.cie.2016.10.030_b0100 article-title: Some research problems in uncertainty theory publication-title: Journal of Uncertain Systems – volume: 33 start-page: 300 issue: 4 year: 2014 ident: 10.1016/j.cie.2016.10.030_b0130 article-title: Solving single-sink, fixed-charge, multi-objective, multi-index stochastic transportation problem publication-title: American Journal of Mathematical and Management Sciences doi: 10.1080/01966324.2014.942474 – volume: 19 start-page: 205 issue: 2 year: 1972 ident: 10.1016/j.cie.2016.10.030_b0180 article-title: An operator theory of parametric programming for the transportation problem-I publication-title: Naval Research Logistics Quarterly doi: 10.1002/nav.3800190202 – volume: 22 start-page: 181 issue: 1 year: 1975 ident: 10.1016/j.cie.2016.10.030_b0190 article-title: A mean cost approximation for transportation problems with stochastic demand publication-title: Naval Research Logistics Quarterly doi: 10.1002/nav.3800220115 – volume: 29 start-page: 537 issue: 1-4 year: 1995 ident: 10.1016/j.cie.2016.10.030_b0040 article-title: Solving bicriteria solid transportation problem with fuzzy numbers by a genetic algorithm publication-title: Computers Industrial Engineering doi: 10.1016/0360-8352(95)00130-S – volume: 4 start-page: 59 issue: 2 year: 2010 ident: 10.1016/j.cie.2016.10.030_b0145 article-title: A new method for finding an optimal solution for transportation problems publication-title: International Journal of Mathematical Sciences and Engineering Applications – volume: 25 start-page: 11 issue: 1 year: 2008 ident: 10.1016/j.cie.2016.10.030_b0085 article-title: Interactive multi-objective transportation planning decisions using fuzzy, linear programming publication-title: Asia-Pacific Journal of Operational Research doi: 10.1142/S0217595908001602 – volume: 11 start-page: 183 issue: 2 year: 2012 ident: 10.1016/j.cie.2016.10.030_b0170 article-title: Fixed charge transportation problem in uncertain environment publication-title: Industrial Engineering and Management Systems doi: 10.7232/iems.2012.11.2.183 – volume: 15 start-page: 3901 issue: 10 year: 2012 ident: 10.1016/j.cie.2016.10.030_b0215 article-title: A new uncertain programming model for project scheduling problem publication-title: Information: An International Interdisciplinary Journal – volume: 214 start-page: 262 issue: 2 year: 2011 ident: 10.1016/j.cie.2016.10.030_b0155 article-title: The stochastic transportation problem with single sourcing publication-title: European Journal of Operation Research doi: 10.1016/j.ejor.2011.04.040 – volume: 15 start-page: 3179 issue: 8 year: 2012 ident: 10.1016/j.cie.2016.10.030_b0175 article-title: A transportation model with uncertain costs and demands publication-title: Information: An International Interdisciplinary Journal – volume: 16 start-page: 1207 issue: 2A year: 2013 ident: 10.1016/j.cie.2016.10.030_b0025 article-title: Uncertain programming model for solid transportation problem publication-title: Information: An International Interdisciplinary Journal – volume: 37 start-page: 6458 issue: 9 year: 2013 ident: 10.1016/j.cie.2016.10.030_b0225 article-title: Uncertain programming model for uncertain optimal assignment problem publication-title: Applied Mathematical Modelling doi: 10.1016/j.apm.2013.01.032 – volume: 12 start-page: 30 issue: 1 year: 2013 ident: 10.1016/j.cie.2016.10.030_b0135 article-title: A transportation problem with uncertain truck times and unit costs publication-title: Industrial Engineering Management Systems doi: 10.7232/iems.2013.12.1.030 – volume: 27 start-page: 457 issue: 4 year: 2010 ident: 10.1016/j.cie.2016.10.030_b0165 article-title: Capacitated two-stage time minimization transportation problem publication-title: Asia-Pacific Journal of Operational Research doi: 10.1142/S021759591000279X – volume: 10 start-page: 448 issue: 4 year: 1962 ident: 10.1016/j.cie.2016.10.030_b0065 article-title: The solid transportation problem publication-title: Operational Research doi: 10.1287/opre.10.4.448 – volume: 43 start-page: 64 issue: 2 year: 2014 ident: 10.1016/j.cie.2016.10.030_b0005 article-title: On approximation of the fixed charge transportation problem publication-title: Omega doi: 10.1016/j.omega.2013.06.005 – volume: 47 start-page: 263 issue: 2 year: 1979 ident: 10.1016/j.cie.2016.10.030_b0080 article-title: Prospect theory: An analysis of decision under risk publication-title: Econometrica doi: 10.2307/1914185 – volume: 62 start-page: 2591 issue: 6 year: 2011 ident: 10.1016/j.cie.2016.10.030_b0030 article-title: Shortest path problem with uncertain arc lengths publication-title: Computers and Mathematics with Applications doi: 10.1016/j.camwa.2011.07.058 – volume: 2 start-page: 1 year: 2015 ident: 10.1016/j.cie.2016.10.030_b0060 article-title: A transportation problem with uncertain costs and random supplies publication-title: International Journal of e-Navigation and Maritime Economy doi: 10.1016/j.enavi.2015.06.001 – volume: 11 start-page: 18 issue: 1 year: 2012 ident: 10.1016/j.cie.2016.10.030_b0220 article-title: Uncertain programming model for Chinese postman problem with uncertain weights publication-title: Industrial Engineering Management Systems doi: 10.7232/iems.2012.11.1.018 – volume: 13 start-page: 533 issue: 5 year: 1986 ident: 10.1016/j.cie.2016.10.030_b0045 article-title: Future paths for integer programming and links to artificial intelligence publication-title: Computers Operations Research doi: 10.1016/0305-0548(86)90048-1 – year: 2007 ident: 10.1016/j.cie.2016.10.030_b0095 – volume: 291 start-page: 204 year: 2015 ident: 10.1016/j.cie.2016.10.030_b0210 article-title: Reduction methods of type-2 uncertain variables and their applications to solid transportation problem publication-title: Information Science doi: 10.1016/j.ins.2014.08.044 – year: 2010 ident: 10.1016/j.cie.2016.10.030_b0110 – volume: 36 start-page: 2592 issue: 6 year: 2012 ident: 10.1016/j.cie.2016.10.030_b0035 article-title: Uncertain models for single facility location problems on networks publication-title: Applied Mathematical Modelling doi: 10.1016/j.apm.2011.09.042 – volume: 31 start-page: 2668 issue: 12 year: 2007 ident: 10.1016/j.cie.2016.10.030_b0195 article-title: A bicriteria solid transportation problem with fixed charge under stochastic environment publication-title: Applied Mathematical Modelling doi: 10.1016/j.apm.2006.10.011 – volume: 62 start-page: 1095 issue: 5 year: 2014 ident: 10.1016/j.cie.2016.10.030_b0020 article-title: A reduced-cost iterated local search heuristic for the fixed-charge transportation problem publication-title: Operations Research doi: 10.1287/opre.2014.1288 – volume: 1 start-page: 190 year: 1989 ident: 10.1016/j.cie.2016.10.030_b0050 article-title: Tabu search: Part I publication-title: ORSA Journal on Computing doi: 10.1287/ijoc.1.3.190 |
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| Snippet | •Three models are proposed for uncertain fixed charge solid transportation problem.•The crisp equivalences of the models are discussed.•An algorithm is... In this paper, the fixed charge solid transportation problem under uncertainty is investigated. As a result, three mathematical models are constructed for the... |
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| SubjectTerms | Algorithms Chance-constrained programming Crisps Equivalence Hybrid systems Mathematical models Measure-chance programming Programming Tabu search algorithm Transportation problem Uncertainty Uncertainty theory |
| Title | Fixed charge solid transportation problem in uncertain environment and its algorithm |
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