analysis of the optimal solution with respect to the parameters of the backorder rate function is included. Finally, some … of shortage. Some general properties for the expected cost are derived under weak assumptions about the backorder rate … function. When the backorder rate is a linear function, some sufficient conditions for the global convexity of the expected …

for a certain fraction of shortage. This fraction is described by a general backorder rate function which is non … of the optimal policy with respect to the backorder rate function and the parameters of the inventory system is developed …. When the backorder rate function is described by some particular functions, its behavior is analyzed with respect to …