This paper develops a single-vendor single-retailer supply chain for multi-product. The proposed model is based on Vendor Managed Inventory (VMI) approach and vendor uses the retailer's data for better decision making. Number of orders and available capital are the constraints of the model. In this system, shortages are backordered; therefore, the vendor’s warehouse capacity is another limitati...

In the context of a variation of the standard UFL (Uncapacitated Facility Location) problem, but with an objective function that is a separable convex quadratic function of the transportation costs, we present some techniques for improving relaxations of MINLP formulations. We use a disaggregation principal and a strategy of developing model-specific valid inequalities (some nonlinear), which e...

the concepts of structural optimization was introduced about sixty years ago. smiths from the university of los angeles (california) for the first time has offered the combination of finite element method and optimization techniques to design optimum structures (1960). at present time, this techniques are generally understood and many softwares for this perpose have been developed. in this pape...