In this paper, we consider the pricing and lot-sizing problem for a product subject to general rate of deterioration and partial backordering. We use impatience functions to model backlogging of demand. We show that even when lost sale and backorder costs are present, the problem is well posed in the reduced space. We provide an iterative procedure for solving the overall problem. We describe s...

ABSTRACT In this paper, we study a deterministic inventory model for deteriorating items under time-dependent partial backlogging. Though lot of factors involving inventory affect the demand, among them time and stock are the most important factors. Therefore, we consider here the combined stock and time varying demand to make the theory more applicable in practice. We study the effects time de...