A Multi-item Deteriorating Inventory Model Under Stock Level-Dependent, Time-Varying, and Price-Sensitive Demand

2021 ◽  
pp. 1-12
Author(s):  
Abhijit Barman ◽  
P. K. De
Keyword(s):  
Inventory Model ◽  
Time Varying ◽  
Stock Level

scholarly journals An inventory model for deteriorating items under time varying demand condition

2013 ◽  
Vol 8 (1) ◽  
pp. 1273-1278
Author(s):  
Srichandan Mishra ◽  
S.P. Mishra ◽  
N. Mishra ◽  
J. Panda
Keyword(s):  
Time Horizon ◽  
Cost Minimization ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Time Varying ◽  
Infinite Time ◽  
Infinite Time Horizon ◽  
Demand Rate ◽  
Demand Condition ◽  
Varying Demand

In this paper we discuss the development of an inventory model for deteriorating items which investigates an instantaneous replenishment model for the items under cost minimization. A time varying type of demand rate with infinite time horizon, exponential deterioration and with shortage in considered. The result is illustrated with numerical example.

scholarly journals Neimark-Sacker Bifurcation in Demand-Inventory Model with Stock-Level-Dependent Demand

2017 ◽  
Vol 2017 ◽  
pp. 1-10
Author(s):  
Piotr Hachuła ◽  
Magdalena Nockowska-Rosiak ◽  
Ewa Schmeidel
Keyword(s):  
Equilibrium Points ◽  
Three Dimensional ◽  
Inventory Model ◽  
Phase Portraits ◽  
Dimensional System ◽  
Planar System ◽  
Stock Level ◽  
Lyapunov Coefficient ◽  
Analysis Of Dynamics ◽  
Dependent Demand

An analysis of dynamics of demand-inventory model with stock-level-dependent demand formulated as a three-dimensional system of difference equations with four parameters is considered. By reducing the model to the planar system with five parameters, an analysis of one-parameter bifurcation of equilibrium points is presented. By the analytical method, we prove that nondegeneracy conditions for the existence of Neimark-Sacker bifurcation for the planar system are fulfilled. To check the sign of the first Lyapunov coefficient of Neimark-Sacker bifurcation, we use numerical simulations. We give phase portraits of the planar system to confirm the previous analytical results and show new interesting complex dynamical behaviours emerging in it. Finally, the economical interpretation of the system is given.

A note on the inventory model with time-varying demand and shortages

2003 ◽  
Vol 6 (2) ◽  
pp. 253-261 ◽  
Author(s):  
Kuo-Lung Yang ◽  
Shing-Ko Liang ◽  
Peter Chu
Keyword(s):  
Inventory Model ◽  
Time Varying ◽  
Varying Demand

scholarly journals A two-warehouse inventory model with increasing demand and time varying deterioration

2012 ◽  
Vol 19 (6) ◽  
pp. 1969-1977 ◽  
Author(s):  
B. Kumar Sett ◽  
Biswajit Sarkar ◽  
A. Goswami
Keyword(s):  
Inventory Model ◽  
Time Varying ◽  
Increasing Demand
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