INTEREST: a reference-point-based interactive procedure for stochastic multiobjective programming problems
This paper presents a reference point-based interactive algorithm, which has been specifically designed to deal with stochastic multiobjective programming problems. This algorithm combines the classical information used in this kind of methods, i.e. values that the decision maker regards as desirabl...
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| Veröffentlicht in: | OR Spectrum Jg. 32; H. 1; S. 195 - 210 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Springer-Verlag
01.01.2010
Springer Nature B.V |
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| ISSN: | 0171-6468, 1436-6304 |
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| Abstract | This paper presents a reference point-based interactive algorithm, which has been specifically designed to deal with stochastic multiobjective programming problems. This algorithm combines the classical information used in this kind of methods, i.e. values that the decision maker regards as desirable for each objective, with information about the probabilities the decision maker wishes to accept. This novel aspect allows the method to fully take into account the randomness of the final outcome throughout the whole solution process. These two pieces of information have been introduced in an adapted achievement-scalarizing function, which assures each solution obtained to be probability efficient. |
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| AbstractList | This paper presents a reference point-based interactive algorithm, which has been specifically designed to deal with stochastic multiobjective programming problems. This algorithm combines the classical information used in this kind of methods, i.e. values that the decision maker regards as desirable for each objective, with information about the probabilities the decision maker wishes to accept. This novel aspect allows the method to fully take into account the randomness of the final outcome throughout the whole solution process. These two pieces of information have been introduced in an adapted achievement-scalarizing function, which assures each solution obtained to be probability efficient. [PUBLICATION ABSTRACT] This paper presents a reference point-based interactive algorithm, which has been specifically designed to deal with stochastic multiobjective programming problems. This algorithm combines the classical information used in this kind of methods, i.e. values that the decision maker regards as desirable for each objective, with information about the probabilities the decision maker wishes to accept. This novel aspect allows the method to fully take into account the randomness of the final outcome throughout the whole solution process. These two pieces of information have been introduced in an adapted achievement-scalarizing function, which assures each solution obtained to be probability efficient. |
| Author | Muñoz, María M. Luque, Mariano Ruiz, Francisco |
| Author_xml | – sequence: 1 givenname: María M. surname: Muñoz fullname: Muñoz, María M. email: mmartos@uma.es organization: Department of Applied Economics (Mathematics), University of Malaga – sequence: 2 givenname: Mariano surname: Luque fullname: Luque, Mariano organization: Department of Applied Economics (Mathematics), University of Malaga – sequence: 3 givenname: Francisco surname: Ruiz fullname: Ruiz, Francisco organization: Department of Applied Economics (Mathematics), University of Malaga |
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| CitedBy_id | crossref_primary_10_1007_s00291_011_0236_5 crossref_primary_10_1016_j_ssci_2022_105951 crossref_primary_10_1016_j_ejor_2011_03_033 crossref_primary_10_1002_mcda_460 crossref_primary_10_1007_s00158_007_0147_x crossref_primary_10_1016_j_ejor_2011_07_011 crossref_primary_10_1007_s12351_022_00713_1 crossref_primary_10_3390_math8112026 crossref_primary_10_1007_s10898_012_0019_9 |
| Cites_doi | 10.1016/S0377-2217(00)00303-9 10.1016/0377-2217(86)90160-8 10.1016/S0377-2217(02)00859-7 10.2307/1910956 10.1023/A:1017591412366 10.1007/BF01584098 10.1287/mnsc.1060.0595 10.1016/j.omega.2007.06.001 10.1007/s00291-001-0092-9 10.1016/S0377-2217(00)00084-9 10.1007/978-3-540-88908-3_15 10.1057/jors.1990.181 10.1007/978-3-642-48782-8_32 10.1007/978-94-017-3087-7 10.1016/0167-188X(85)90013-8 10.1007/978-3-642-57311-8_4 10.1080/02331937708842405 |
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| Keywords | Interactive methods Probability efficiency Reference point Multiobjective programming Stochastic programming |
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| References | Luque, Caballero, Molina, Ruiz (CR11) 2007; 53 Caballero, Cerda, Muñoz, Rey, Haimes, Steuer (CR6) 2000 Kataoka (CR9) 1963; 31 Belton, Greco, Eskelinen, Molina, Ruiz, Slowinski, Branke, Deb, Miettinen, Slowinski (CR3) 2008 Goicoechea, Hansen, Duckstein (CR8) 1982 CR16 Wierzbicki (CR24) 1977; 8 Prékopa (CR15) 1995 Caballero, Cerda, Muñoz, Rey, Stancu Minasian (CR7) 2001; 110 Benayoun, Montgolfier, Tergny, Laritchev (CR5) 1971; 1 Miettinen (CR13) 1999 Larsen, Mausser, Uryasev, Pardalos, Tsitsiringos (CR10) 2002 Urli, Nadeau (CR22) 1990; 41 Wierzbicki, Fandel, Gal (CR25) 1980 Ben Abdelaziz, Mejri (CR4) 2001; 133 Ballestero (CR1) 2001; 131 Urli, Nadeau (CR23) 2004; 155 Ruszczyński, Shapiro (CR17) 2003 Slowinski, Teghem (CR18) 1990 Teghem, Dufrane, Thauvoye, Kunsch (CR20) 1986; 26 Luque, Miettinen, Eskelinen, Ruiz (CR12) 2009; 37 Miettinen, Mäkelä (CR14) 2002; 24 CR21 Ballestero (CR2) 2005; 43 Stancu-Minasian (CR19) 1984 A Goicoechea (153_CR8) 1982 M Luque (153_CR11) 2007; 53 B Urli (153_CR22) 1990; 41 V Belton (153_CR3) 2008 E Ballestero (153_CR2) 2005; 43 (153_CR18) 1990 C Caballero (153_CR6) 2000 A Ruszczyński (153_CR17) 2003 M Luque (153_CR12) 2009; 37 AP Wierzbicki (153_CR24) 1977; 8 F Ben Abdelaziz (153_CR4) 2001; 133 A Prékopa (153_CR15) 1995 153_CR16 B Urli (153_CR23) 2004; 155 R Caballero (153_CR7) 2001; 110 E Ballestero (153_CR1) 2001; 131 R Benayoun (153_CR5) 1971; 1 J Teghem (153_CR20) 1986; 26 AP Wierzbicki (153_CR25) 1980 S Kataoka (153_CR9) 1963; 31 153_CR21 K Miettinen (153_CR13) 1999 N Larsen (153_CR10) 2002 K Miettinen (153_CR14) 2002; 24 IM Stancu-Minasian (153_CR19) 1984 |
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| Title | INTEREST: a reference-point-based interactive procedure for stochastic multiobjective programming problems |
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