based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the korteweg-de vries (kdv) equation are first constructed by the known darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude de...

Efficiency in the supply chain can be established by integrating supplier-retailer inventory policy. This article proposes integrated model between under stochastic demand. aims to determine optimal review period and calculate total cost, including some defective items, backorder price discounts, losing flexibility costs. We assume that retailer order 'n' times for every 'm' shipment from suppl...

The study of differential equations is useful in to analyze the possible past or future with help of present information. In this paper, the behavior of solutions has been analyzed around the equilibrium points for Gause model. Finally, some results are worked out to exist the stable periodic orbit for mentioned predator-prey system.

In this paper we consider a periodic review order-up-to-level (or base stock) inventory control system under normally distributed demand. For such circumstances an expression for the exact fill rate (fraction of demand satisfied without backordering) has been available in the literature but has not been widely known, let alone used by practitioners. In this paper we redevelop the expression and...

Manufacturers often sell their products both to customers acquired over time and sustained through contractual agreements and to new businesses through electronic markets. These two sales channels (contract markets and exchanged based sales and procurement) coexist for several capitalintensive industries such as the semiconductor and chemical industries (Kleindorfer and Wu 2003). The two sales ...