C. J. Singh
Mathematics, Guru Nanak Dev University
[ 1 ] - The Approach of Convergence to Stationary State of Multi Server Queue with Balking (TECHNICAL NOTE)
This investigation deals with multi server queue with balking. The customers arrive in poisson fashion and independent of time, under the assumption that system is initially empty. The number of customers in the system is stochastically increasing and distributed in steady state (stationary state) as required. The expressions for the measure of the speed of convergence from transient state to s...
[ 2 ] - Diffusion Process for Multi - Repairmen Machining System with Spares Aand Balking
In this paper we describe G/G/R+s multi- repairmen machining system with balking. The system consists of M operating machines, S spare machines, R permanent and s additional repairmen. Assuming the discrete flow of machines by continuous one, the diffusion approximation technique for the machine repair system has developed. The system will be in normal working mode if there is M operating machi...
[ 3 ] - G G r Machine Repair Problem with Spares and Additional Repairman (TECHNICAL NOTE)
The machine repair problem with spares and additional repairman is analyzed. The interfailure and repair times of the units are general identical and independently distributed. The failure and repair rates are assumed to be state dependent. Using diffusion approximation technique, we obtain the queue size distribution under steady state. The average number of failed units, average number of ope...
[ 4 ] - Reliability of Repairable Multicomponent Redundant System
This investigation deals with transient analysis of cold standby system with n units . Chapman-Kolmogorov equations are developed for repair facility with two repairmen and solved by using matrix technique. Availability and reliability factors have been obtained with probability of the system. A particular case has also been discussed.
[ 5 ] - A Finite Capacity Priority Queue with Discouragement
In this paper we report on a study of a two level preemptive priority queue with balking and reneging for lower priority level. The inter-arrival and the service times for both levels follow exponential distribution. We use a finite difference equation approach for solving the balance equations of the governing queuing model whose states are described by functions of one independent variable. H...
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