-
1
-
-
0001461528
-
On the Stackelberg strategy in nonzero-sum games
-
Simaan M, Cruz JB Jr (1973) On the Stackelberg strategy in nonzero-sum games. J Optim Theory Appl 11: 533-555.
-
(1973)
J Optim Theory Appl
, vol.11
, pp. 533-555
-
-
Simaan, M.1
Cruz Jr., J.B.2
-
4
-
-
0021479189
-
Two-level linear programming
-
Bialas WF, Karwan MH (1984) Two-level linear programming. Manag Sci 30: 1004-1020.
-
(1984)
Manag Sci
, vol.30
, pp. 1004-1020
-
-
Bialas, W.F.1
Karwan, M.H.2
-
5
-
-
0019937742
-
An explicit solution to the multi-level programming problem
-
Bard JF, Falk JE (1982) An explicit solution to the multi-level programming problem. Comput Oper Res 9: 77-100.
-
(1982)
Comput Oper Res
, vol.9
, pp. 77-100
-
-
Bard, J.F.1
Falk, J.E.2
-
6
-
-
0001454730
-
A branch and bound algorithm for the bilevel programming problem
-
Bard JF, Falk JE (1990) A branch and bound algorithm for the bilevel programming problem. SIAM J Sci Stat Comput 11: 281-292.
-
(1990)
SIAM J Sci Stat Comput
, vol.11
, pp. 281-292
-
-
Bard, J.F.1
Falk, J.E.2
-
7
-
-
0000367326
-
New branch-and-bound rules for liner bilevel programming
-
Hansen P, Jaumard B, Savard G (1992) New branch-and-bound rules for liner bilevel programming. SIAM J Sci Stat Comput 13: 1194-1217.
-
(1992)
SIAM J Sci Stat Comput
, vol.13
, pp. 1194-1217
-
-
Hansen, P.1
Jaumard, B.2
Savard, G.3
-
8
-
-
0000138482
-
A penalty function approach for solving bi-level linear programs
-
White DJ, Anandalingam G (1993) A penalty function approach for solving bi-level linear programs. J Glob Optim 3: 397-419.
-
(1993)
J Glob Optim
, vol.3
, pp. 397-419
-
-
White, D.J.1
Anandalingam, G.2
-
9
-
-
0033246206
-
Stackelberg solutions to multiobjective two-level linear programming problems
-
Nishizaki I, Sakawa M (1999) Stackelberg solutions to multiobjective two-level linear programming problems. J Optim Theory Appl 103: 161-182.
-
(1999)
J Optim Theory Appl
, vol.103
, pp. 161-182
-
-
Nishizaki, I.1
Sakawa, M.2
-
10
-
-
0034161058
-
Computational methods through genetic algorithms for obtaining Stackelberg solutions to two-level mixed zero-one programming problems
-
Nishizaki I, Sakawa M (2000) Computational methods through genetic algorithms for obtaining Stackelberg solutions to two-level mixed zero-one programming problems. Cybern Syst 31: 203-221.
-
(2000)
Cybern Syst
, vol.31
, pp. 203-221
-
-
Nishizaki, I.1
Sakawa, M.2
-
11
-
-
0035332163
-
Global optimization of nonlinear bilevel programming problems
-
Gümüs ZH, Floudas CA (2001) Global optimization of nonlinear bilevel programming problems. J Glob Optim 20: 1-31.
-
(2001)
J Glob Optim
, vol.20
, pp. 1-31
-
-
Gümüs, Z.H.1
Floudas, C.A.2
-
12
-
-
79952373136
-
Stackelberg solutions to multiobjective two-level linear programming problems with random variable coefficients
-
Nishizaki I, Sakawa M, Katagiri H (2003) Stackelberg solutions to multiobjective two-level linear programming problems with random variable coefficients. Central Eur J Oper Res 11: 281-296.
-
(2003)
Central Eur J Oper Res
, vol.11
, pp. 281-296
-
-
Nishizaki, I.1
Sakawa, M.2
Katagiri, H.3
-
13
-
-
24044516145
-
A trust-region method for nonlinear bilevel programming: algorithm and computational experience
-
Colson B, Marcotte P, Savard G (2005) A trust-region method for nonlinear bilevel programming: algorithm and computational experience. Comput Optim Appl 30: 211-227.
-
(2005)
Comput Optim Appl
, vol.30
, pp. 211-227
-
-
Colson, B.1
Marcotte, P.2
Savard, G.3
-
14
-
-
34250821129
-
Parametric global optimisation for bilevel programming
-
Faisca NP, Dua V, Rustem B, Saraiva PM, Pistikopoulos EN (2007) Parametric global optimisation for bilevel programming. J Glob Optim 38: 609-623.
-
(2007)
J Glob Optim
, vol.38
, pp. 609-623
-
-
Faisca, N.P.1
Dua, V.2
Rustem, B.3
Saraiva, P.M.4
Pistikopoulos, E.N.5
-
15
-
-
0042637150
-
The applications of non-linear bi-level programming to the aluminium industry
-
Nicholls MG (1996) The applications of non-linear bi-level programming to the aluminium industry. J Glob Optim 8: 245-261.
-
(1996)
J Glob Optim
, vol.8
, pp. 245-261
-
-
Nicholls, M.G.1
-
16
-
-
0033354218
-
Determining optimal pollution control policies: an application of bilevel programming
-
Amouzegar MA, Moshirvaziri K (1999) Determining optimal pollution control policies: an application of bilevel programming. Eur J Oper Res 119: 100-120.
-
(1999)
Eur J Oper Res
, vol.119
, pp. 100-120
-
-
Amouzegar, M.A.1
Moshirvaziri, K.2
-
17
-
-
0035536768
-
Bundle trust-region algorithm for bilinear bilevel programming
-
Dempe S, Bard JF (2001) Bundle trust-region algorithm for bilinear bilevel programming. J Optim Theory Appl 110: 265-268.
-
(2001)
J Optim Theory Appl
, vol.110
, pp. 265-268
-
-
Dempe, S.1
Bard, J.F.2
-
18
-
-
38949197077
-
Bilevel optimization applied to strategic pricing in competitive electricity markets
-
Fampa M, Barroso LA, Candal D, Simonetti L (2008) Bilevel optimization applied to strategic pricing in competitive electricity markets. Comput Optim Appl 39: 121-142.
-
(2008)
Comput Optim Appl
, vol.39
, pp. 121-142
-
-
Fampa, M.1
Barroso, L.A.2
Candal, D.3
Simonetti, L.4
-
19
-
-
34248155868
-
A probabilistic bi-level linear multi-objective programming problem to supply chain planning
-
Roghanian E, Sadjadi SJ, Aryanezhad MB (2007) A probabilistic bi-level linear multi-objective programming problem to supply chain planning. Appl Math Comput 188: 786-800.
-
(2007)
Appl Math Comput
, vol.188
, pp. 786-800
-
-
Roghanian, E.1
Sadjadi, S.J.2
Aryanezhad, M.B.3
-
26
-
-
84865791227
-
Interactive fuzzy programming for stochastic two-level linear programming problems through probability maximization
-
Interim Report IR-09-013
-
Sakawa M, Kato K (2009) Interactive fuzzy programming for stochastic two-level linear programming problems through probability maximization. International Institute for Applied Systems Analysis (IIASA), Interim Report IR-09-013.
-
(2009)
International Institute for Applied Systems Analysis (IIASA),
-
-
Sakawa, M.1
Kato, K.2
-
27
-
-
6344232554
-
Fuzzy random variables-I. Definitions and theorems
-
Kwakernaak H (1978) Fuzzy random variables-I. Definitions and theorems. Inf Sci 15: 1-29.
-
(1978)
Inf Sci
, vol.15
, pp. 1-29
-
-
Kwakernaak, H.1
-
30
-
-
0042003111
-
Fuzzy random variables: a scalar expected value operator
-
Liu Y-K, Liu B (2003) Fuzzy random variables: a scalar expected value operator. Fuzzy Optim Decis Making 2: 143-160.
-
(2003)
Fuzzy Optim Decis Making
, vol.2
, pp. 143-160
-
-
Liu, Y.-K.1
Liu, B.2
-
31
-
-
33748062355
-
Overview on the development of fuzzy random variables
-
Gil MA, Lopez-Diaz M, Ralescu DA (2006) Overview on the development of fuzzy random variables. Fuzzy Sets Syst 157: 2546-2557.
-
(2006)
Fuzzy Sets Syst
, vol.157
, pp. 2546-2557
-
-
Gil, M.A.1
Lopez-Diaz, M.2
Ralescu, D.A.3
-
32
-
-
43949163813
-
Linear programming with fuzzy random variable coefficients
-
Wang G-Y, Qiao Z (1993) Linear programming with fuzzy random variable coefficients. Fuzzy Sets Syst 57: 295-311.
-
(1993)
Fuzzy Sets Syst
, vol.57
, pp. 295-311
-
-
Wang, G.-Y.1
Qiao, Z.2
-
34
-
-
0002977423
-
Fuzziness and randomness in an optimization framework
-
Luhandjula MK (1996) Fuzziness and randomness in an optimization framework. Fuzzy Sets and Syst 77: 291-297.
-
(1996)
Fuzzy Sets and Syst
, vol.77
, pp. 291-297
-
-
Luhandjula, M.K.1
-
36
-
-
0035483231
-
Fuzzy random chance-constrained programming
-
Liu B (2001) Fuzzy random chance-constrained programming. IEEE Trans Fuzzy Syst 9: 713-720.
-
(2001)
IEEE Trans Fuzzy Syst
, vol.9
, pp. 713-720
-
-
Liu, B.1
-
37
-
-
0035483856
-
Fuzzy random dependent-chance programming
-
Liu B (2001) Fuzzy random dependent-chance programming. IEEE Trans Fuzzy Syst 9: 721-726.
-
(2001)
IEEE Trans Fuzzy Syst
, vol.9
, pp. 721-726
-
-
Liu, B.1
-
38
-
-
34347246993
-
A general concept for solving linear multicriteria programming problems with crisp, fuzzy or stochastic values
-
Rommelfanger H (2007) A general concept for solving linear multicriteria programming problems with crisp, fuzzy or stochastic values. Fuzzy Sets Syst 156: 1892-1904.
-
(2007)
Fuzzy Sets Syst
, vol.156
, pp. 1892-1904
-
-
Rommelfanger, H.1
-
39
-
-
33746815648
-
Fuzzy stochastic linear programming: survey and future research directions
-
Luhandjula MK (2006) Fuzzy stochastic linear programming: survey and future research directions. Eur J Oper Res 174: 1353-1367.
-
(2006)
Eur J Oper Res
, vol.174
, pp. 1353-1367
-
-
Luhandjula, M.K.1
-
41
-
-
0141859884
-
Fuzzy random bottleneck spanning tree problems using possibility and necessity measures
-
Katagiri H, Sakawa M, Ishii H (2004) Fuzzy random bottleneck spanning tree problems using possibility and necessity measures. Eur J Oper Res 152: 88-95.
-
(2004)
Eur J Oper Res
, vol.152
, pp. 88-95
-
-
Katagiri, H.1
Sakawa, M.2
Ishii, H.3
-
42
-
-
9644302609
-
A fuzzy random multiobjective 0-1 programming based on the expectation optimization model using possibility and necessity measures
-
Katagiri H, Sakawa M, Kato K, Nishizaki I (2004) A fuzzy random multiobjective 0-1 programming based on the expectation optimization model using possibility and necessity measures. Math Comput Model 40: 411-421.
-
(2004)
Math Comput Model
, vol.40
, pp. 411-421
-
-
Katagiri, H.1
Sakawa, M.2
Kato, K.3
Nishizaki, I.4
-
43
-
-
26044446737
-
A possibilistic and stochastic programming approach to fuzzy random MST problems
-
Katagiri H, Mermri EB, Sakawa M, Kato K, Nishizaki I (2005) A possibilistic and stochastic programming approach to fuzzy random MST problems. IEICE Trans Inf Syst E88-D: 1912-1919.
-
(2005)
IEICE Trans Inf Syst
, vol.E88-D
, pp. 1912-1919
-
-
Katagiri, H.1
Mermri, E.B.2
Sakawa, M.3
Kato, K.4
Nishizaki, I.5
-
44
-
-
39049138321
-
A study on fuzzy random portfolio selection problems using possibility and necessity measures
-
Katagiri H, Sakawa M, Ishii H (2005) A study on fuzzy random portfolio selection problems using possibility and necessity measures. Sci Math Jpn 61: 361-369.
-
(2005)
Sci Math Jpn
, vol.61
, pp. 361-369
-
-
Katagiri, H.1
Sakawa, M.2
Ishii, H.3
-
45
-
-
29044433092
-
Interactive decision making using possibility and necessity measures for a fuzzy random multiobjective 0-1 programming problem
-
Katagiri H, Sakawa M, Nishizaki I (2006) Interactive decision making using possibility and necessity measures for a fuzzy random multiobjective 0-1 programming problem. Cybern Syst 37: 59-74.
-
(2006)
Cybern Syst
, vol.37
, pp. 59-74
-
-
Katagiri, H.1
Sakawa, M.2
Nishizaki, I.3
-
46
-
-
38149076033
-
Interactive multiobjective fuzzy random linear programming: maximization of possibility and probability
-
Katagiri H, Sakawa M, Kato K, Nishizaki I (2008) Interactive multiobjective fuzzy random linear programming: maximization of possibility and probability. Eur J Oper Res 188: 530-539.
-
(2008)
Eur J Oper Res
, vol.188
, pp. 530-539
-
-
Katagiri, H.1
Sakawa, M.2
Kato, K.3
Nishizaki, I.4
-
47
-
-
79952314293
-
Interactive multiobjective fuzzy random linear programming through the level set-based probability model
-
Katagiri H, Sakawa M (2011) Interactive multiobjective fuzzy random linear programming through the level set-based probability model. Inf Sci 181: 1641-1650.
-
(2011)
Inf Sci
, vol.181
, pp. 1641-1650
-
-
Katagiri, H.1
Sakawa, M.2
-
48
-
-
35349024226
-
On solutions of fuzzy random multiobjective quadratic programming with applications in portfolio problem
-
Ammar EE (2008) On solutions of fuzzy random multiobjective quadratic programming with applications in portfolio problem. Inf Sci 178: 468-484.
-
(2008)
Inf Sci
, vol.178
, pp. 468-484
-
-
Ammar, E.E.1
-
49
-
-
43849106075
-
Multi-objective decision making model under fuzzy random environment and its application to inventory problems
-
Xu J, Liu Y (2008) Multi-objective decision making model under fuzzy random environment and its application to inventory problems. Inf Sci 178: 2899-2914.
-
(2008)
Inf Sci
, vol.178
, pp. 2899-2914
-
-
Xu, J.1
Liu, Y.2
-
50
-
-
84864487301
-
Interactive fuzzy random two-level linear programming through fractile criterion optimization
-
Interim Report IR-09-020
-
Sakawa M, Kato K (2009) Interactive fuzzy random two-level linear programming through fractile criterion optimization. International Institute for Applied Systems Analysis (IIASA), Interim Report IR-09-020.
-
(2009)
International Institute for Applied Systems Analysis (IIASA)
-
-
Sakawa, M.1
Kato, K.2
-
51
-
-
84861182538
-
Fuzzy random noncooperative two-level linear programming through absolute deviation minimization using possibility and necessity
-
Interim Report IR-09-021
-
Sakawa M, Kato K (2009) Fuzzy random noncooperative two-level linear programming through absolute deviation minimization using possibility and necessity. International Institute for Applied Systems Analysis (IIASA), Interim Report IR-09-021.
-
(2009)
International Institute for Applied Systems Analysis (IIASA)
-
-
Sakawa, M.1
Kato, K.2
-
52
-
-
0000261286
-
Programming with linear fractional functionals
-
Charnes A, Cooper WW (1962) Programming with linear fractional functionals. Nav Res Logist Q 9: 181-186.
-
(1962)
Nav Res Logist Q
, vol.9
, pp. 181-186
-
-
Charnes, A.1
Cooper, W.W.2
-
53
-
-
0141748236
-
A note on bilevel linear fractional programming problem
-
Calvete HI, Gale C (2004) A note on bilevel linear fractional programming problem. Eur J Oper Res 152: 296-299.
-
(2004)
Eur J Oper Res
, vol.152
, pp. 296-299
-
-
Calvete, H.I.1
Gale, C.2
|