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

An Existence Theorem for Quasi-Variational Inequalities

A class of set-valued quasi-variational inequalities is studied in Banach spaces. The concept of QVI was earlier introduced by A. Bensoussan and J. L. Lions [4]. In this paper we give a generalization of the existence th...

Improved Newton-Raphson Methods for Solving Nonlinear Equations

In this paper, we mainly study the numerical algorithms for simple root of nonlinear equations based on Newton-Raphson method. Two modified Newton-Raphson methods for solving nonlinear equations are suggested. Both of th...

The Neutrosophic Soft Modules

Molodtsov initiated the concept of soft sets in [17]. Maji et al. defined some operations on soft sets in [13]. Aktas et al. generalized soft sets by defining the concept of soft groups in [2]. After then, Qiu-Mei Sun et...

Using Particle Swarm Optimization to Determine the Optimal Strata Boundaries

Stratified random sampling is a commonly used sampling methodology especially for heterogeneous populations with outliers. Stratified sampling is preferably employed due to its capability of improving statistical precisi...

Ephemerides of Visual Binaries of highly eccentric orbits

Ephemerides of binary stars are important information for astronomical observation and research. In this paper, ephemerides of the visual binaries ADS784, ADS13665, A1529, ADS836, ADS 3434, ADS1105 and ADS 3315 have been...

Download PDF file
  • EP ID EP651321
  • DOI 10.24297/jam.v9i1.2524
  • Views 146
  • Downloads 0

How To Cite

K. Krishnan, M. Rameshpandi, C. Periyasamy (2014). Modeling and Analysis of Perishable Inventory System with Retrial demands in Supply Chain. JOURNAL OF ADVANCES IN MATHEMATICS, 9(1), 1763-1773. https://europub.co.uk/articles/-A-651321