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 119
- Downloads 0
A NOTE ON SEMIDERIVATIONS
Recently, Filippis et al. introduced the notion of generalized semiderivation [[5], Definition 1.2] in prime rings. Accordingly, let R be a prime ring and F: R→R be an additive mapping. If there exists a semiderivation d...
Effects of chemical reaction and heat absorption on hydromagnetic flow past a moving plate through porous medium with ramped wall temperature in the presence of Hall current and thermal radiation
This paper deals with the study of effects of chemical reaction and heat absorption on an unsteady free convective flow of a viscous, incompressible, electrically conducting and optically thin fluid past an infinite vert...
Restricted Constraints in a Max-Flow and Min-Cost problem
The present paper defines a combination of two most important and old flow problems such as maximum flow and minimum cost flow. In the first one a flow with the maximum value from source node to sink node is sought. The...
Some Fixed Point Theorems for Mappings on Complete 〖 S〗_b –Metric Space
In this paper, we prove some common fixed point theorems in S_b-metric space using an increasing function ϕ∶[0,∞)→[0,∞) with lim┬(n→∞)〖ϕ^n (t)=0〗 and ϕ(t)<t for each fixed t>0. Our results extend the result of...
DOMINATION IN CARTESIAN PRODUCT OF FUZZY GRAPHS USING STRONG ARC
In this paper the domination in fuzzy graphs by using strong arcs are generalized and established the domination concept in Cartesian product on standard fuzzy graphs using strong arcs and non strong arcs