DETERMINATION OF OPTIMAL RESERVE BETWEEN TWO MACHINES IN SERIES WITH THE REPAIR TIME HAS CHANGE OF PARAMETER AFTER THE TRUNCATION POINT
Journal Title: Bulletin of Pure and Applied Sciences Sec. E - Mathematics and Statistics - Year 2018, Vol 37, Issue 2
Abstract
In inventory control, suitable models for various real life systems are constructed with the objective of determining the optimal inventory level. A new type of inventory model using the so-called Setting the Clock Back of Zero (SCBZ) property is analyzed in this paper. There are two machines M1 and M2 in series and the output of M1 is the input of M2. Hence a reserve inventory between M1 and M2 is maintained. The method of obtaining the optimal size of reserve inventory S ̂, assuming cost of excess inventory, cost of shortage and when the rate of consumption of M2 is a constant, has already been attempted. In this paper, it is assumed that the repair time of M1 is a random variable and the distribution of the same undergoes a parametric change after a truncation point X0 , which is taken to be a random variable. The optimal size of the reserve inventory is obtained under the above said assumption . Numerical illustration is also provided.
Authors and Affiliations
T. Vivekandnan
Keywords
Related Articles
- EP ID EP531741
- DOI 10.5958/2320-3226.2018.00033.4
- Views 115
- Downloads 0
Evaluation of M.T.T.F. and Variance Of A k-Out of N:G Redundant Complex System Under Waiting For Repair
This paper presents the investigations for the evaluation of reliability behavior of a k-out of N:G redundant complex system with r repair facilities incorporating the concept of waiting.
HIGH ACCURACY ANALYSIS FOR ACCELERATION MOTION OF VERTICALLY FALLING SPHERICAL PARTICLES IN INCOMPRESSIBLE NEWTONIAN FLUID BY VARINATIONAL ITERATIONS METHOD
In this paper, the acceleration motion of a vertically falling spherical particles made of Glass, Iron, Copper and Silver with diameter (D=1mm) in Newtonian fluid is discussed using Varinational Iteration Method (VIM) &...
Magneto Hydrodynamic Convective Double Diffusive Fluid Flow Past a Vertical Plate with Varying Temperature and Concentration
This manuscript presents the influence of variable boundary of temperature and concentration of a double diffusive unsteady MHD natural convection heat and mass transfer flow past an accelerated vertical porous plate in...
ON THE DEGENERATE LAPLACE TRANSFORM - I
We make an attempt in this paper to extend the very recent work of Kim and Kim [24] on degenerate Laplace transform. Using the definition of the degenerate Laplace transform as given by Kim and Kim [24] and some of the...
MAHLER MEASURE OF CHARGED GRAPHS OVER THE PURE CUBIC FIELD Q ( )
In this paper, the algebraic integer as a edge label from the pure cubic field to the all vertices of the simple graphs thereafter charges to all the vertices and get the edge labeled charged graphs. Further to find the...