Time Quadratic Demand Research Articles

Fuzzyfication of supplier–retailer inventory coordination with credit term for deteriorating item with time-quadratic demand and partial backlogging in all cycles

A finite planning horizon supply chain model is discussed for materials substances such as metals, ceramics, or plastics manufactured which is deteriorating in nature. Parameter such as holding cost and all the other cost are fuzzyfied. Triangular fuzzy numbers are used for the fuzzyfication of parameters. Defuzzyfication of the model is done using total -integral value. We also have used Graded Mean Representation method to defuzzify the model. Later the comparison between the two defuzzyfied model is presented and conclusion is drawn.

An Optimal Inventory Replenishment Policy for a Perishable Item with Time Quadratic Demand and Partial Backlogging with Shortages in All Cycles

The paper deals with an optimal inventory replenishment policy for a deteriorating item with the demand rate being a continuous quadratic function of time. It is assumed that the deterioration rate of the items in the inventory is directly proportional to time. Shortages in inventory are allowed and are partially backlogged which depends on the length of the waiting time for the next replenishment over a finite time horizon and variable replenishment cycle. The effect of inflation and time value of money are taken into account. A numerical example is shown to illustrate the model.

An Order-Level Inventory Model for a Deteriorating Item with Time-Quadratic Demand and Time-Dependent Partial Backlogging with Shortages in All Cycles

SYNOPTIC ABSTRACTThe purpose of this work is to study an inventory model for a deteriorating item considering time-quadratic demand and time-dependent partial backlogging, which depends on the length of the waiting time for the next replenishment over a finite time horizon and variable replenishment cycle. The model is solved analytically to obtain the optimal solution of the problem. The sufficient condition of the optimal solution is also studied. It is then illustrated with the help of numerical examples.

An optimal inventory replenishment policy for a deteriorating item with time-quadratic demand and time-dependent partial backlogging with shortages in all cycles

The paper deals with an optimal inventory replenishment policy for a deteriorating item considering time-quadratic demand and time-dependent partial backlogging which depends on the length of the waiting time for the next replenishment over a finite time horizon and variable replenishment cycle. The model is solved analytically to obtain the optimal solution of the problem. It is then illustrated with the help of numerical examples.

An Inventory Model for Deteriorating Items with Quadratic Demand and Partial Backlogging

Aims: The scope of the model lies in its applicability in the management inventories of time-quadratic demand. It is also seen that large pile of goods displayed in a supermarket will motivate the customer to buy more. So the presence of inventory has a motivational effect on the people around it. Also there may be occasional shortages in inventory due to many reasons. Therefore, we develop an EOQ model for the inventory of a deteriorating item, taking demand rate and allowing shortages in inventory. Study Design: This paper presents an inventory model for deteriorating items with quadratic demand. In the model, shortages are allowed and partially backordered. The backlogging rate is a variable and dependent on the waiting time for the next replenishment. A numerical example is taken to illustrate the model and the sensitivity analysis is also studied. Methodology: Our purpose is to devise a mathematical model on inventory management taking all these factors into consideration. Results: Convexity condition of the cost function is established to ensure the existence of unique point of minimum. Conclusion: The proposed model can be extended in several ways. For instance, we may extend the demand function to stochastic fluctuating demand patterns or stock-dependent demand rate. Finally, we could extend the model to incorporate some more realistic features such as quantity discounts, permissible delay in payments, time value of money and inflation etc.

An EOQ model for a deteriorating item with time dependent quadratic demand under permissible delay in payment

Abstract In this paper, an EOQ (Economic Order Quantity) model is developed for a deteriorating item having time dependent demand when delay in payment is permissible. The deterioration rate is assumed to be constant and the time varying demand rate is taken to be a quadratic function of time. Mathematical models are also derived under two different circumstances, i.e. Case I: The credit period is less than or equal to the cycle time for settling the account and Case II: The credit period is greater than the cycle time for settling the account. The results are illustrated with numerical examples. Justification for considering a time quadratic demand and permissible delay in payment are discussed.

On an EOQ model with SFI policy for a time quadratic demand

In this paper, an order level inventory model is discussed with the demand rate that is a continuous quadratic function of time. It is assumed that a constant fraction of the inventory deteriorates per unit time and shortages in inventory are allowed and completely backlogged. The effect of inflation and time value of money are taken into account, considering both internal and external inflation rates. A numerical example is shown to illustrate the model and sensitivity analysis of the optimal solution with respect to the parameters of the system is carried out.