Symmetric duality for multiplicatively separable fractional mixed integer programming problem

Optimization

Volumn 37, Issue 1, 1996, Pages 51-57

  Chandra, S ^a   Kumar, V ^a   Husain, I ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

^b NATIONAL INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Fractional programming; Integer programming; Symmetric duality

Indexed keywords

EID: 0030461268     PISSN: 02331934     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331939608844196     Document Type: Article

References (8)

1. Balas, E. (1970) "Minimax and duality for linear and nonlinear mixed integer programming", in J. Abadie (ed.), Integer and Nonlinear Programming, North-Holland, Amsterdam
2. Bazaraa, M. S. and Goode, J. J. (1973) "On Symmetric Duality in Nonlinear Programming", Operations Research, 21(1) 1, 1-9
3. Chandra, S. Craven, B. D. and Mond, B. (1985) "Symmetric Dual Fractional Programming", Zeitschrift für Operations Research, 29, 59-64
4. Dantzig, G. B. Eisenberg, E. and Cottle, R. W. (1965) "Symmetric dual nonlinear programming". Pacific Journal of Mathematics, 15, 809-812
5. Dorn, W. S. (1966) "Self dual quadratic programs," SIAM Journal of Applied Mathematics, 14(3), 420-423.
6. Kumar, V. Hussain, I. and Chandra, S. (1995) "Symmetric Duality for Minimax Nonlinear Mixed Integer Programming," European Journal of Operations Research, 80, 425-430
7. Mond, B. (1965) "A Symmetric Dual Theorem for Non-Linear Programs", Quarterly Journal of Applied Mathematics, 23, 265-269
8. Mond, B. and Weir, T. (1981) Generalized concavity and duality in: Generalized Concavity in Optimization and Economics, (eds) S. Schaible and W. T. Ziemba, Academic Press, New York