Probabilistic linear programming problems with exponential random variables: A technical note

European Journal of Operational Research

Volumn 111, Issue 3, 1998, Pages 589-597

  Biswal, M P ^a   Biswal, N P ^a   Li, Duan ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

^b CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Exponential random variable; Non linear programming; Probabilistic linear programming; Probability density function

Indexed keywords

ALGORITHMS; DECISION THEORY; MATHEMATICAL TRANSFORMATIONS; NONLINEAR PROGRAMMING; PROBABILITY DENSITY FUNCTION; PROBLEM SOLVING; RANDOM PROCESSES;

EXPONENTIAL RANDOM VARIABLE;

LINEAR PROGRAMMING;

EID: 0348199835     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(97)90319-2     Document Type: Article

References (12)

1. A. Charnes, W. W Cooper, Chance constrained programming, Management Science 6 (1959) 227-243.
2. A. Charnes, W.W. Cooper, Deterministic equivalents for optimizing and satisficing under chance constraints, Operations Research 11 (1963) 18-39.
3. G. Infanger, Planning Under Uncertainty: Solving Large-Scale Stochastic Linear Programs, Boyd and Fraser Publishing Company, Massachusetts, 1993.
4. P. Kail, S.W. Wallace, Stochastic Programming, Wiley New York, 1994.
5. I.M. Stancu-Minasian, M.J. Wets, A research bibliography in stochastic programming, 1955-1975, Operations Research 24 (1976) 1078-1119.
6. A. Goicoechea, L. Duckstein, Non-normal deterministic equivalents and a transformation in stochastic programming, Applied Mathematics and Computation 21 (1987) 51-72.
7. R. Verma, M.P. Biswal, A. Biswas, Fuzzy programming approach to probabilistic multi-objective transportation problems with Pareto optimum solutions, The Journal of fuzzy Mathematics 4 (1996) 301-314.
8. A. Goicoechea, D.R. Hansen, L. Duckstein, Multi-objective Decision Analysis with Engineering and Business Applications, Wiley, New York, 1982.
9. W.L. Winston, Introduction Mathematical Programming Applications and Algorithms, 2nd ed., Duxbury Press, Belmont, California, 1995.
10. V. Chankong, Y.Y. Haimes, Multi-objective Decision Making Theory and Methodology, North-Hollands, Amsterdam, 1983.
11. H.-J. Zimmermann, Fuzzy linear programming and linear programming with several objective functions, Fuzzy Sets and Systems 1 (1978) 45-55.
12. H.-J. Zimmermann, Fuzzy Sets Theory and its Applications, Kluwer Academic Publishers, Dordrecht, 1991.