基于区间数的线性规划模型在运输问题的应用

Application of Linear Programming Model Based on Interval Number in Transportation Problem

线性规划模型及其应用学者们常常用模糊集理论或概率论来处理这种不确定信息。为了寻求一种简单而准确地刻画方式,本文考虑用区间数描述这些系统的影响指标,建立基于区间数的线性规划模型。针对运输系统优化决策问题,本文将系统运费、供给量、需求量和预算费用描述为区间数,建立基于区间数的运输优化多目标线性规划模型,给出算法步骤,通过实例分析来验证该模型的可行性和准确性。

Linear programming model and its application scholars often use fuzzy set theory or probability theory to deal with suchuncertain information. In order to find a simple and accurate way of depicting, this paper considers the use of interval numbers to describethe impact indicators of these systems and establish a linear programming model based on interval numbers. For the transportation systemoptimization decision problem, this paper describes the system freight, supply amount, demand amount and budget expenses as intervalnumbers, establishes a multi-objective linear programming model based on interval number for transportation optimization, gives thealgorithm steps, and verifies the feasibility and accuracy of model through case analysis.