Stochastic programming model based on synthesizing effect function

In this paper, based on the stochastic optimization theory, we add synthesizing effect constraint condition to stochastic programming model. Through synthesizing effect constraint of expectation and variance, we establish a kind of stochastic programming model which has guiding significance. We also show that under certain condition, this new model is a convex programming, and prove that if the independent random variables are the normal distribution, the stochastic programming model with synthesizing effect function constraints is equivalent to chance constrained programming model. Last, we get the algorithm of this model.

[1]  A. Charnes,et al.  Chance-Constrained Programming , 1959 .

[2]  Peter Kall,et al.  Stochastic Linear Programming , 1975 .

[3]  Arthur J. Keown,et al.  A Chance Constrained Goal Programming Model for Working Capital Management , 1977 .

[4]  Arthur J. Keown,et al.  A Chance-Constrained Integer Goal Programming Model for Capital Budgeting in the Production Area , 1980 .

[5]  D. Acharya,et al.  A Chance-Constrained Goal Programming Model for Capital Budgeting , 1982 .

[6]  Liu Baoding,et al.  Dependent-chance goal programming and an application , 1993 .

[7]  Liu Baoding,et al.  Dependent-chance goal programming and its genetic algorithm based approach , 1996 .

[8]  Baoding Liu,et al.  A genetic algorithm for chance constrained programming , 1996 .

[9]  Baoding Liu,et al.  Modelling stochastic decision systems using dependent-chance programming , 1997 .

[10]  Baoding Liu.  Dependent-Chance Programming: A Class of Stochastic Optimization , 1997 .

[11]  Baoding Liu,et al.  Fuzzy criterion dynamic programming and optimal control of multi-dimensional open inventory networks , 1997, Proceedings of 6th International Fuzzy Systems Conference.

[12]  Baoding Liu,et al.  A note on chance constrained programming with fuzzy coefficients , 1998, Fuzzy Sets Syst..

[13]  Baoding Liu,et al.  Chance constrained programming with fuzzy parameters , 1998, Fuzzy Sets Syst..

[14]  Baoding Liu,et al.  Fuzzy programming with fuzzy decisions and fuzzy simulation-based genetic algorithm , 2001, Fuzzy Sets Syst..

[15]  Baoding Liu.  Fuzzy Programming with Fuzzy Decisions , 2002 .

[16]  Fa-Chao Li,et al.  Compound dynamic constraint of stochastic optimization model and algorithm , 2008, 2008 International Conference on Wavelet Analysis and Pattern Recognition.