Abstract In this paper, an inventory problem where the cycle must be integer multiple of a known basic period is considered. Furthermore, demand rate in each power time-dependent function. Shortages are allowed but, taking necessities or interests customers into account, only fixed proportion during stock-out satisfied with arrival next replenishment. The costs related to management system orde...

a new mathematical model for the optimal production isformulated for the inventory management system under time-varyingand stochastic inflation environment for deteriorating items. the timehorizon is finite and demand rate is dependent to the inflation. in thereal situation, some but not all customers will wait for backlogged itemsduring a shortage period, such as for fashionable commodities or...

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...

In a perfectly transparent and competitive market, suppliers must provide pricing service for their customers. The aim of this study is to an insight into how preservation technology credit financing could be used both reduce the deterioration rate as well flexible retailers. methodology optimize cycle length, selling price, amount using inventory theory. result derived optimal total profit per...

In today’s digital age, industrial methods are shifting away from humans and toward machines. We choose automated systems for various jobs related to production systems, such as screening, manufacturing. A smart manufacturing system is one in which machines take the place of humans. Under influence inflation, this study proposes a production-inventory model with partial backlogging, an imperfec...

In this article, we study an inventory system for items that have a power demand pattern and where shortages are allowed. We suppose only fixed proportion of during the stock-out period is backordered. The decision variables cycle ratio between initial stock total quantity demanded throughout cycle. objective to maximize Return on Inventory Investment (ROII) defined as profit per unit time over...

Abstract: This paper presents a new multiple objectives model for the optimal production for an inventory control system. The stocked items may be deteriorates and the systems costs will be change over the time. In the real situation, some but not all customers will wait for backlogged items during a shortage period and therefore, the model incorporates partial backlogging. The demand rate can ...