Inventory control is considered one of the most widely documented topics in reality. Fractional derivatives and integration part fractional calculus. calculus generalized ordinary The memory physical phenomena a highly concerning topic but it neglected with describing terms integer-order differential equation. To discuss inventory model, derivative tools are considered. A at any point gives pre...

Inventory management is an important thing to be considered in order run the activities of a company smoothly. By considering deterioration factor, partial backlogging policy and different type demand functions, we develop mathematical model for multi-item inventory system. In this paper, three models with constant deterioration, backlogging, various functions are developed. We consider invento...

This paper presents a simple deterministic EOQ with time-dependent partial backlogging. The penalty during stockout arises from lost sales rather than from the usual shortage cost parameter. The model has a unique minimum for a broad class of lost-sales behavior during stockout. The main result is that a special case corresponds to the traditional full backlogging model and provides a means to ...

Abstract The model describes an EOQ model with time-varying deterioration, partial backlogging which depends on the length of the waiting time for the next replenishment, linearly time-varying demand function over a finite time horizon and variable replenishment cycle. The model is solved analytically to obtain the optimal solution of the problem. It is illustrated with the help of a numerical ...

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 this paper, the authors attempted to develop a deterministic inventory model for deteriorating item under a very realistic and practical demand rate which depends upon power of time (Power demand pattern). Also in this study we consider that the item deteriorate after a fixed time period called life time and taking incremental holding cost. Effect of partial backlogging also taken in account...

This article analyzes a supply chain management system (SCM), with two echelons. We consider a perishable inventory with Poisson demand, exponential life time and positive lead time at distribution center (DC) and retailer. Partial backlogging at retailer node is assumed with limited quantity. (s, S) policy at retailer and (M-1, M) policy at DC are assumed to get a tractable analytic solution. ...