In this article, an imperfect vendor–buyer inventory system with stochastic demand, process quality control and learning in production is investigated. It is assumed that there are learning in production and investment for process quality improvement at the vendor’s end, and lot-size dependent lead-time at the buyer’s end. The lead-time for the first batch and those for the rest of the batches ...

This paper presents a discounted cash-flow approach to an inventory model for deteriorating items with the &#10two-parameter Weibull distribution. According to our proposed model, two shortages are considered: back-orders and lost-sales, &#10in which the back-order rate is a varying function of the time when the shortage happens. In general, the demand rate is a linear function of the selling p...

  We discuss the effects of inflation and time discounting on an EOQ model for deteriorating items under stock-dependent demand and time-dependent partial backlogging. The inventory model is studied under the replenishment policy starting with no shortages. We then use MATLAB to find the optimal replenishment policies. The objective of this model is to maximize the total profit (TP) which inclu...