Nowadays, market globalization has been caused intense competition between many firms. Remaining a firm in this procedure and being successful against competitors' depends on quick respond to customer needs. Regarding to this, supply chain management proposed which implies to the management of material and information flows between facilities such as vendors, manufacturing and production factories and distribution centers.Supply chain management is divided to three levels including: strategic, tactical and operational. Considered models in operational level can be divided to three other groups itself: buyer-vendor coordination, production- distribution coordination and inventory- distribution coordination.In first group models, unlike to old inventory models, which optimality is considered respect to buyer opinion, problems modeling and analyzing are considered by both vendor and buyer view, and buyer-vendor profits simultaneously will be assumed.In this thesis, the model with one buyer and multi-vendors will be considered in which annually buyer's demand is constant. Two cases, finite and infinite production rate for vendors will be studied and in each cases, the amount of demand that should be provided by every vendor, will be computed. Buyer's lot size respect to every vendor, and suitable discounts for prices will be determined that consider simultaneous buyer-vendor profits.