A Perishable Inventory System with Postponed Demands and Finite
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 8
Abstract
In this article, we consider a continuous review perishable inventory system with a finite number of homogeneous sources generating demands. The demand time points form quasi random process and demand is for single item. The maximum storage capacity is assumed to be The life time of each item is assumed to have exponential distribution. The order policy is policy, that is, whenever the inventory level drops to a prefixed level an order for items is placed. The ordered items are received after a random time which is distributed as exponential. We assume that the demands that occur during the stock out periods either enter a pool or leave the system which is according to a Bernoulli trial. The demands in the pool are selected one by one, while the stock is above the level with interval time between any two successive selections is distributed as exponential. The joint probability distribution of the number of customers in the pool and the inventory level is obtained in the steady state case. Various system performance measures are derived to compute the total expected cost per unit time in the steady state. The optimal cost function and the optimal are studied numerically.
Authors and Affiliations
R Jayaraman
Keywords
Related Articles
- EP ID EP651692
- DOI 10.24297/jam.v12i8.5070
- Views 169
- Downloads 0
SEMIGROUP ACTION FOR HUTCHITSON OPERATOR OF ITERATED FUNCTION SYSTEM
In this article, we are trying to see the Iterated function system or more generally a skew product as formation a semigroup action system. We will try to implement more semigroup action properties on itself. For this pu...
Model Higgs Bundles in Exceptional Components of the Sp(4,R)-Character Variety
We establish a gluing construction for Higgs bundles over a connected sum of Riemann surfaces in terms of solutions to the Sp(4,R)-Hitchin equations using the linearization of a relevant elliptic operato...
Oscillation Criteria For Even Order Nonlinear Neutral Differential Equations With Mixed Arguments
This paper deals with the oscillation criteria for nth order nonlinear neutral mixed type dierential equations.
On Boundary Value Problems for Second-order Fuzzy Linear Differential Equations with Constant Coefficients
In this paper we investigate the solutions of boundary value problems for second-order fuzzy linear differential equations with constant coefficients. There are four different solutions for the problems by using a genera...
Estimates of Solutions to Nonlinear Evolution Equations
Consider the equation u’(t) = A (t, u (t)), u(0)= U0 ; u' := du/dt (1). Under some assumptions o...