一、数学模型就一个喷灌工程来说,投资分配与效益之间有一定的关系。一般来说,投资增加时,得到的效益也有所增加。设第j个企业分得的投资量为X_j,相应的效益为γ_i(X_j)。此处效益γ_j(X_i)与投资X_j的关系可能是线性的,大多数情况下是非线性的;有时是连续的函数关系,有时则是离散的数值对应关系。设总投资量为D,要在n个工程之 First, the mathematical model As a sprinkler irrigation project, there is a certain relationship between investment allocation and benefits. In general, when the investment increases, the benefits gained also increase. Suppose the investment amount of the jth enterprise is X_j, and the corresponding benefit is γ_i (X_j). Here, the relationship between the benefit γ_j (X_i) and the investment X_j may be linear, and in most cases it is non-linear; sometimes it is a continuous function relationship and sometimes a discrete numerical correspondence relationship. Suppose the total investment is D, in n projects