A Novel Algorithm of Stochastic Chance-Constrained Linear Programming and Its Application
The computation problem is discussed for the stochastic chance-constrained linear programming, and a novel direct algorithm, that is, simplex algorithm based on stochastic simulation, is proposed. The considered programming problem in this paper is linear programming with chance constraints and rand...
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| Published in: | Mathematical Problems in Engineering Vol. 2012; no. 2012; pp. 324 - 340-023 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Cairo, Egypt
Hindawi Limiteds
01.01.2012
Hindawi Publishing Corporation |
| ISSN: | 1024-123X, 1563-5147 |
| Online Access: | Get full text |
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| Summary: | The computation problem is discussed for the stochastic chance-constrained linear programming, and a novel direct algorithm, that is, simplex algorithm based on stochastic simulation, is proposed. The considered programming problem in this paper is linear programming with chance constraints and random coefficients, and therefore the stochastic simulation is an important implement of the proposed algorithm. By theoretical analysis, the theory basis of the proposed algorithm is obtained and, by numerical examples, the feasibility and validness of this algorithm are illustrated. The detailed algorithm procedure is given, which is easily converted into the executable codes of software tools. Then, we compare it with some algorithms to verify its superiority. Finally, a practical example is presented to show its practicability. |
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| ISSN: | 1024-123X 1563-5147 |
| DOI: | 10.1155/2012/139271 |