In this paper, we address an inventory system where the demand rate multiplicatively combines effects of time and selling price. It is assumed that product two power functions, one depending on price other elapsed since last replenishment. Shortages are allowed fully backlogged. The aim to obtain lot sizing, cycle unit maximize profit per time. To achieve this, efficient algorithms proposed opt...

In today's competitive business situation, the supplier frequently offers his or her retailers a permissible delay period to stimulate sales. addition, capacity of any warehouse is limited in practice; thus, retailer needs an additional rented store excess units when order quantity exceeds own warehouse. Furthermore, with globalization marketing policy, may provide discounted price if purchase ...

Abstract Estimating the solution value of transportation problems can be useful to assign customers days for multi-period vehicle routing problems, or make customer selection decisions very fast (e.g., within an online environment). In this paper, we apply several regression methods predict total distance traveling salesman problem (TSP) and (VRP). We show that estimated fairly accurate using s...

In this paper the risk of supply chain disruptions is investigated in relations to different policies of inventory replenishment. The increasing attention to this issue in the academic and business, has strongly motivated the development of this work, above all to obtain analysis of costs in terms of distributions and variability. The goal is to enrich literature in constant growth and allow co...

In this study, we develop a collaborative inventory system consisting of one supplier and one buyer. The objective is to maximize the total profit of the whole system when shortage caused by the imperfect quality can be completely backordered. To ensure mutual benefits to every player, a negotiation mechanism is incorporated to share the profit between both players according to their contributi...

We develop a model to determine an integrated vendor-buyer inventory policy for items with imperfect quality and planned backorders. The production process is imperfect and produces a certain number of defective items with a known probability density function. The vendor delivers the items to the buyer in small lots of equally sized shipments. Upon receipt of the items, the buyer will conduct a...

We consider a three-level distribution network involving a raw material supplier with imperfect quality, a manufacturer and several retailers. A production-inventory model accompanied by a partial backlogging approach is developed by considering random disruptions. Any batch received from the supplier is inspected by the manufacturer and if any flaw is visited, all the goods in the inspected ba...