Recent Results in Disjunctive Linear Fractional Programming
作者： V. Patkar , I. M. Stancu-Minasian
DOI: 10.1007/978-3-642-46709-7_8
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摘要: A short review of the recent results pertaining to linear fractional Programming problems under disjunctive constraints is presented in this paper. few areas for further research are outlined.
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sci-hub.st 参考文章(9)
Seiji Nabeya, On Linear Fractional Programming Hitotsubashi journal of arts and sciences. ,vol. 5, pp. 58- 64 ,(1965) , 10.15057/4516
R.G. Jeroslow, Cutting-Plane Theory: Disjunctive Methods Studies in Integer Programming. ,vol. 1, pp. 293- 330 ,(1977) , 10.1016/S0167-5060(08)70741-6
Egon Balas, DISJUNCTIVE PROGRAMMING: CUTTING PLANES FROM LOGICAL CONDITIONS Nonlinear Programming 2#R##N#Proceedings of the Special Interest Group on Mathematical Programming Symposium Conducted by the Computer Sciences Department at the University of Wisconsin–Madison, April 15–17, 1974. pp. 279- 312 ,(1975) , 10.1016/B978-0-12-468650-2.50015-8
Vivek Patkar, I.M. Stancu-Minasian, Duality in disjunctive linear fractional programming European Journal of Operational Research. ,vol. 21, pp. 101- 105 ,(1985) , 10.1016/0377-2217(85)90093-1
R. Jagannathan, On Some Properties of Programming Problems in Parametric form Pertaining to Fractional Programming Management Science. ,vol. 12, pp. 609- 615 ,(1966) , 10.1287/MNSC.12.7.609
Egon Balas, Robert G. Jeroslow, Strengthening cuts for mixed integer programs European Journal of Operational Research. ,vol. 4, pp. 224- 234 ,(1980) , 10.1016/0377-2217(80)90106-X
E. Balas, A Note on Duality in Disjunctive Programming. Journal of Optimization Theory and Applications. ,vol. 21, pp. 523- 528 ,(1977) , 10.1007/BF00933095
R. G. Jeroslow, Cutting-Planes for Complementarity Constraints SIAM Journal on Control and Optimization. ,vol. 16, pp. 56- 62 ,(1978) , 10.1137/0316005
G. Owen, Cutting planes for programs with disjunctive constraints Journal of Optimization Theory and Applications. ,vol. 11, pp. 49- 55 ,(1973) , 10.1007/BF00934290