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人们在解决带有价格折扣的库存问题时,通常把费用函数用一个分段函数表示,先求出函数在每段上的最优值和最优订货量,最后通过比较找出该问题的最优解。文章通过引入二进制变量,把该问题变成一个混合整数型非线性规划问题,给出了求解方法和算法。这使得借助计算机处理这类问题变得非常简单。通过数值试验,比较和分析了不同情况下不同折扣类型对最优订货量的影响。
When people solve the inventory problem with price discount, the cost function is usually expressed by a piecewise function. First, the optimal value and optimal order of the function on each segment are obtained. Finally, Excellent solution. By introducing binary variables, the paper turns the problem into a mixed integer type nonlinear programming problem, and gives the solution method and algorithm. This makes it very easy to deal with such problems with computers. Through numerical experiments, the influence of different discount types on the optimal order quantity under different situations is compared and analyzed.