In this study, we consider a problem of determining the optimal replenishment policy for non-
instantaneous deteriorating items with stock-dependent demand. In the model, shortages
are allowed and the backlogging rate is variable and dependent on the waiting time for the
next replenishment. The necessary and sufficient conditions of the existence and
uniqueness of the optimal solution are shown. As the special cases, the results for the
models with instantaneous or non-instantaneous deterioration rate and with or without …

Percentage of capital invested for holding the inventory of decaying item is more than that of
non-decaying item. Unfortunately, most of the works done in the era of inventory controlling
were and are putting forward without taking into account the aspect of variable holding cost
of the deteriorating item. To bring concentrations of inventory practitioners, we present an
inventory model for deteriorating item with stock-dependent demand and variable holding
cost. Furthermore, non-instantaneous deteriorating approach is considered in this work. In …