Modeling and Analysis of Perishable Inventory System with Retrial demands in Supply Chain
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 1
Abstract
In this article, we consider a continuous review perishable inventory system with poisson demands. The maximum storage capacity at lower echelon (retailer) is S and the upper Echelon (Distribution Center) is M (= nQ). The life time of each item is assumed to be exponential. The operating policy is (s, S) policy, that is, whenever the inventory level drops to s, an order for Q = (S - s > s) item is placed. The ordered items are received after a random time which is distributed as exponential. We assume that demands occurring during the stock-out period enter into the orbit. These orbiting demands send out signal to complete for their demand which is distributed as exponential. The joint probability distribution of the inventory level at retailer, inventory level at DC and the number of demands in the orbit are obtained in the steady state case. Various system performance measures are derived and the results are illustrated numerically.
Authors and Affiliations
K. Krishnan, M. Rameshpandi, C. Periyasamy
Keywords
Related Articles
- EP ID EP651321
- DOI 10.24297/jam.v9i1.2524
- Views 153
- Downloads 0
Prime ideals and Godel ideals of BL-algebras
In this paper we give further properties of ideals of a BL-algebra. The concepts of prime ideals, irreducible ideals and Godel ideals are introduced. We prove that the concept of prime ideals coincides with one of irredu...
Spherical f-Tilings by Two Noncongruent Classes of Isosceles Triangles
The study of spherical dihedral f-tilings when the prototiles are twononcongruent isosceles triangles was started in two previous papers. Here,we complete the classication, characterizing the f-tilings that satisfy there...
Stability Analysis of Gompertz tumour growth model Parameters
The stability analysis of Gompertz tumour growth model Parameter with respect to the tumour volume size leads us to conclude the constancy of Gompertz tumour growth parameter.
On the Lyapunov function for the rotating Benard problem
In this paper we study the nonlinear Lyapunov stability of the conduction-diusion solution in a layer of a rotating Newtonian uid, heated and salted from below.If we reformulate the nonlinear stability problem, projectin...
On Totally (p,k) Quasiposinormal Operator
In this paper we study some properties of totally (p,k) - quasiposinormal operator. And also we show that Weyl's theorem and algebraically Weyl's theorem holds for totally (p,k) -quasiposinormal operator.