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
Probabilistic Inventory Model Multi-Source Backlogged Probabilistic Inventory Model for Crisp and Fuzzy Environment
This paper proposed a multi-item multi-source probabilistic periodic review inventory model under a varying holding cost constraint with zero lead time when: (1) the stock level decreases at a uniform rate over the cycle...
G-function Solutions for Diffusion and Laplace's equations
In this paper the Diffusion equation and Laplace's equation is solved by Modiffied separation of variables (MSV) method, suggested by Pishkoo and Darus . Using this method, Meijer's G-function solutions are derived in cy...
Median Double Ranked Set Sampling Method
In environmental monitoring and assessment, the main focus is to achieve observational economy and to collect data with unbiased, efficient and cost-effective sampling methods. Ranked set sampling (RSS) is one traditiona...
On Group Von Neumann Algebras with Vector-Valued Functions
Let G be a locally compact group equipped with a normalized Haar measure , A(G) the Fourier algebraof G and V N(G) the von Neumann algebra generated by the left regular representation of G. In this paper, we introduce th...
Oscillatory and Asymptotic Behavior of Third Order Half-linear Neutral Dierential Equation with \Maxima"
In this paper we study the oscillation and asymptotic behavior of the third orderneutral dierential equation with \maxima" of the formwhere is the quotient of odd positive integers. Some examples are given toillustrate t...