农业灌溉系统的随机一区间规划模型

摘要

The problem of water-allocation for agricultural irrigation system under uncertainty is studied in this paper. Take the quantity of a-vailable water as random variable and other parameters as interval numbers, we get a stochastic-interval parameter programming model for this problem. Firstly,the satisfaction method is used to deal with random variables in the model. Then the interval linear programming approach is used to turn the equivalent model we get before into two submodels which can obtain the best and worst optimal value of objective function. Those two optimal values form the optimal value interval. Finally, a case study illustrates the practicality and effectiveness of this model. Compared with the existing methods, the one we used is simple and clear. And its interval of optimized objective-function value is narrow.%研究了不确定性环境下农业灌溉系统的水资源分配问题.视水资源可利用量为随机变量,其他参数均为区间数,建立了其随机-区间规划模型.用满意度方法首先把含随机变量的不等式转化为其等价类,再用区间线性规划方法将其转化为求目标函数最好最优值与最差最优值的两个子模型.两个子模型解的组合即为原模型目标函数的最优取值区间.最后用实例说明该模型的实用性与有效性.与已有方法相比,此方法更简单明了,计算结果的区间长度更小.