A production inventory model for deteriorating items with backlog-dependent demand

This paper investigates a production inventory model under classical EPQ framework with the assumption that customer demand during stock-out period is affected by accumulated back-orders. The backlog rate not fixed; instead, assumed to decrease proportionally existing which thereby approximated piecewise constant function. Deteriorating items are taken into consideration in this work. For better illustration of theoretical results and highlight managerial insights, numerical examples presented then compared obtained considering an exact (non-approximated) backlogging (from literature). comparisons indicate high quality for model.