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Article from the perspective of inventory cost control, the optimal strategy for competitive advantage retailers in concentrated quantities and small quantities of fast delivery of two different modes of supply. Under stochastic demand order in advance to a fixed value, the optimal strategy of competitive advantage retailers under the two modes of supply, and the model sensitivity analysis; Finally, the numerical analysis of the cases of the model The results were verified. And further study of the controlled order lead time compression of the optimal strategy of competitive advantage retailers. First, the article by the introduction explains the advantages and disadvantages of two different modes of delivery and the concept of competitive advantage retailers; same time, describes the research background and significance of the article. Secondly, through a literature review and research, the necessity and importance of the presence of inventory; summarizes the evolution of the Inventory Control; most of the past association between the inventory control literature research questions and research issues; and QR (Quick Response) and the competitive position of competitive advantage retailers are described. In view of the existing problems and shortcomings of the previous Inventory Control article, the significance of the study, the association between the article and the previous studies. Fourth, the paper studies the optimal strategy of the controllable order of pre-set value, the two modes of supply retailers competitive advantage; analysis of the competitive dominant retailer's optimal order quantity, the optimal inventory cost of the existence and uniqueness; and further analysis the competitive dominant retailer's optimal order quantity, the optimal inventory costs on the sensitivity of the delayed delivery scale factor and other parameters; identified most of the retailer's competitive advantage excellent strategy. And model analysis and numerical experiments illustrate their own conclusions. Fifth, the paper studies controllable order lead time compression on the optimal strategy of competitive advantage retailers in two different mode of supply; simplifies inventory model case there is order lead time compression; analysis of competition the existence of dominant retailers on the the order lead compression sensitivity and optimal strategy. This paper studies the innovations are as follows: First, the article established inventory model considering the competitive position of the retailers, random demand, order lead time of impact, small batch fast delivery, two different modes of delivery, different modes of transport the cost differences and other factors, the article established inventory model is more realistic. Second, the article simplifies inventory model under the presence of order lead compression. Controllable order lead time compression costs reflected in increased transportation costs; same time, increased transportation costs reflect the characteristics of controllable lead time unit of compression increasing costs, simplify the complexity of the analysis model, to improve the model operability. Third, taking into account the uncertainties, the article uses a MinMax method to build a competitive advantage retailer's inventory model. To consider transportation costs, reduce costs order lead by competition dominant retailer to bear, the competition dominant retailer inventory control and optimal strategy.
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