说明：  线性规划（Linear programming,简称LP），是运筹学中研究较早、发展较快、应用广泛、方法较成熟的一个重要分支，是辅助人们进行科学管理的一种数学方法，是研究线性约束条件下线性目标函数的极值问题的数学理论和方法。 线性规划是运筹学的一个重要分支，广泛应用于军事作战、经济分析、经营管理和工程技术等方面。为合理地利用有限的人力、物力、财力等资源作出的最优决策，提供科学的依据。
(Linear programming (LP) is an important branch of operations research that has been studied earlier, developed faster, widely applied, and has mature methods. It is a mathematical method that assists people in scientific management and is a mathematical theory and method for studying the extremum problem of linear objective functions under linear constraints. Linear programming is an important branch of operations research, widely used in military operations, economic analysis, business management, and engineering technology. To provide scientific basis for making optimal decisions based on the rational utilization of limited human, material, financial and other resources.)