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带有优惠券销售的商品利润模型及其求解
引用本文:李金秋,于晶贤.带有优惠券销售的商品利润模型及其求解[J].数学的实践与认识,2012,42(9):6-11.
作者姓名:李金秋  于晶贤
作者单位:辽宁石油化工大学理学院,辽宁抚顺,113001
摘    要:根据"满100元返x元"的优惠券的特点,建立了商场商品在保持原来定价的基础上、以商家利润最大化为目的的数学模型;同时,利用遗传算法对此模型优化求解,仿真结果说明该模型及其解法具有一定的实用价值.

关 键 词:优惠券  利润最大化  销售量模型  遗传算法

Commodity Profit Model with Coupon Selling and its Solution
LI Jin-qiu , YU Jing-xian.Commodity Profit Model with Coupon Selling and its Solution[J].Mathematics in Practice and Theory,2012,42(9):6-11.
Authors:LI Jin-qiu  YU Jing-xian
Institution:(School of Science,Liaoning University of Petroleum & Chemical Technology,Pushun 113001,China)
Abstract:According to the characteristic of "spend 100 yuan and get x yuan coupon back",which is a kind of sale promotions,profit model was established.The original price of commodities was kept and the sellers’ maximum profit was chosen as the objective function in the model.As well,genetic algorithm was adopted to optimize the pricing model.The simulation result showed that the model and its solution were valuable.
Keywords:coupon  profit maximization  sales volume model  genetic algorithm
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