The economic order quantity (EOQ) model is the simplest and earliest inventory model in the literature. Its simple mathematics is attributed to its assumptions, which are rarely met. Salameh and Jaber [2000. Economic production quantity model for items with imperfect quality. Int. J. Prod. Econ. 64, 59–64] addressed one of these assumptions that items received or produced are not of perfect qua...

Trade credit is a well established promotional tool in the present competitive world and its impact on demand cannot be ignored. Businesses often use trade credit to increase their market share and, in turn, the profit. Undoubtedly, trade credit plays a great role in increasing the demand but it also involves a great risk of nonpayment. In order to reduce the risk of non-payment, businessman at...

In general, traditional production-inventory systems are based on a number of simplifying – but somewhat unrealistic – assumptions, including constant demand rate, constant holding cost, and instantaneous order replenishment. These assumptions have been individually challenged in numerous variations of production-inventory models. Finite production rate models, such as economic production quant...

A production planning approach is addressed in this paper for multi-period, multi-product and multi-route production environment considering backlogs and lost sales. When the production capacity or order demand fluctuates, it could lead to a low utilization of the production resource if considering the production system as a whole. Hence, each production stage and inventory is depicted separate...

Generally, the inventory routing problem occurs in a supply chain where customers consider the supplier responsible for inventory replenishment. In this situation, the supplier finds the answer to questions regarding the time and quantity of delivery to the customer as well as the sequence of customers in the routes. Considering the effect of production decisions on answering these questions, t...

Roughly speaking, Large Deviations is a theory of rare events. It is probably the most active field in probability theory at present, one which has many surprising ramifications. One of its applications is to the analysis of the tails of probability distributions and, in recent years, this aspect of the theory has been widely used in queuing theory. The aim of this tutorial is to introduce the ...

We study multi-product and multi-item assemble-to-order systems under general assumptions on demand patterns and replenish leadtime distributions. We only assume that the demand process of each product being a renewal process, and the replenish leadtimes follow general distributions. Based upon techniques from renewal theory, we developed procedures for approximating key performance measures of...