Mathematical Model And Research On The Solution Of The Sales Promotion Pricing With Coupon Selling

With the development of market economy in our country, the profits competition during sellers is more and more serious. The traditional way to sell is no more competitive. Instead of it is a great many way of sales promotion. During discount sales promotion, anti-season sales promotion and so on, coupon sales promotion is more and more popular than others. Pricing research of commodity sale with coupon has become the focus that every seller thinks much of. However, corresponding pricing theory is far less than practice. Facing this condition, coupon sales promotion was analyzed in this text, and the corresponding pricing models were established according to its characteristic.Firstly, advantages and strategies of coupon sales promotion, problems during promotion and the knowledge relative to pricing theory foundation were introduced. Secondly, basic theory of pricing models with coupon promotion was formulated according to its characteristic. And sale volume model was established according to the specific way of coupon sale. Thirdly, the characteristic of original model was analyzed. Then, pricing model was improved aiming at both of pricing method and sales volume model. Keeping the original price of commodities, the mathematical model, which the sellers'maximum profit was chosen as the objective function, was established. Finally, genetic algorithm was adopted to optimize the pricing model.Simulation result showed that the model and its solution were valuable. The sellers not only get their maximum profit, but also not lose their customers. Therefore, the pricing model can be used for the coupon sale strategy.