G. C. Sharma

[ 1 ] - Stability and Numerical Analysis of Malaria- mTB- HIV/AIDS Co-infection (TECHNICAL NOTE)

In this paper, we develop a mathematical model to examine the transmission dynamics of curable malaria, curable mTB and non-curable HIV/AIDS and their co-infection. The size of population has been taken as varying due to the emigration of susceptible population. The total population is divided into five subclasses as susceptible, malaria infected, mTB infected, HIV infection and AIDS by assumin...

[ 2 ] - Mathematical modeling of blood flow in a stenosed artery under MHD effect through porous medium

In this investigation, a mathematical model for studying oscillatory flow of blood in a stenosed artery under the influence of transverse magnetic field through porous medium has been developed. The equations of motion of blood flow are solved analytically. The analytical expressions for axial velocity, volumetric flow rate, pressure gradient, resistance to blood flow and shear stress have been...

[ 3 ] - Some Perspectives of Machine Repair Problems

In this article, we survey machine repair problems (MRP) with an emphasis on historical developments of queuing models of practical importance. The survey proceeds historically, starting with developments in 1985, when the first published review on machine interference models appeared. We attempt to elaborate some basic MRP models of the real life congestion situations. The brief survey of some...

[ 4 ] - Mathematical Modeling of the Temperature-Dependent Growth of Living Systems

In this investigation a non-equilibrium thermodynamic model of the temperature dependent biological growth of a living systems has been analyzed. The results are derived on the basis of Gompertzian growth equation. In this model, we have considered the temperature dependent growth rate and development parameter. The non-equilibrium thermodynamic model is also considered for exploring the variat...

[ 5 ] - Reliability Analysis of K-Out-Of N: G Machining Systems with Mixed Spares and Multiple Modes of Failure (TECHNICAL NOTE)

This paper deals with the transient analysis of K-out-of-N: G system consisting of Noperatingmachines. To improve system reliability, Y cold standby and S warm standbys spares areprovided to replace the failed machines. The machines are assumed to fail in multiple modes. At leastK-out-of-N machines for smooth functioning of the system. Reliability and mean time to failure areestablished in term...

[ 6 ] - Economic Production Quantity Models with Shortage, Price and Stock-Dependent Demand for Deteriorating Items

This investigation presents an economic production quantity (EPQ) model for deteriorating items with stock-dependent demand and shortages. It is assumed that a constant fraction of the on-hand inventory deteriorates and demand rate depends upon the amount of the stock level. Expression for various optimal indices as well as cost analysis are provided. By taking numerical illustration, sensitivi...

[ 7 ] - Transient Analysis of M/M/R Machining System with Mixed Standbys, Switching Failures, Balking, Reneging and Additional Removable Repairmen

The objective of this paper is to study the M/M/R machine repair queueing system with mixed standbys. The life-time and repair time of units are assumed to be exponentially distributed. Failed units are repaired on FCFS basis. The standbys have switching failure probability q (0≤q≤1). The repair facility of the system consists of R permanent as well as r additional removable repairmen. Due to i...

[ 8 ] - Probability Model of Decision Making for Successful Transplantation of Non-Cadaveric Organs (RESEARCH NOTE)

Mathematical modeling based on a probabilistic approach for making decisions for organ transplantation can be successfully employed in cases when the choice of decisions can affect the results produced. In this study, the minimum probability of success required for organ transplantion in case of multi-donors is determined. The governing equations are constructed in terms of probabilities and so...

[ 9 ] - Transmission Dynamics of Malaria in Human Host: a Neuro-Fuzzy Approach

[ 10 ] - Diffusion Process for GGR Machining System with Spares, Balking and Reneging (RESEARCH NOTE)

This paper deals with the G/G/R machining system consisting of M operating machines as well as S cold standbys. The concepts of balking and reneging are incorporated which make our model more versatile to deal with real time systems. The broken-down machines are sent to repair facilities consisting of R permanent repairmen. The failure times and repair times are generally identical and independ...

[ 11 ] - Controllable Multi-Server Queue with Balking (TECHNICAL NOTE)

[ 12 ] - State Dependent M/M/C/K/N Machining System with Mixed Spares and Removable Repairmen

[ 13 ] - N-Policy for M/G/1 Machine Repair Model with Mixed Standby Components, Degraded Failure and Bernoulli Feedback

In this paper, we study N-policy for a finite population Bernoulli feedback queueing model for machine repair problem with degraded failure. The running times of the machines between breakdowns have an exponential distribution. The repair times of the machines are independent and identically distributed random variables. If at any time a machine fails, it is sent to the repairman for repairing,...

[ 14 ] - Performance Modeling of Machining System with Mixed Standby Components Balking and Reneging

This paper deals with machine repair problem with balking and reneging. There is provision of mixed standby (warm and cold) components to replace the failed machines. The lifetime and repair time are assumed to have exponential distribution. Birth-death technique is suggested to obtain the queue size distribution in explicit form. A repair facility of C permanent repairmen is facilitated to rep...

[ 15 ] - M M m K Queue With Additional Servers and Discouragement (RESEARCH NOTE)

Waiting in long queue is undesirable due to which in some practical situations customers become impatient and leave the system. In such cases providing additional servers can reduce long queue. This investigation deals with multi-server queueing system with additional servers and discouragement. The customers arrive in poisson fashion and are served exponentially by a pool of permanent and addi...

[ 16 ] - Performance Prediction of a Flexible Manufacturing System

The present investigation presents a stochastic model for a flexible manufacturing system consisting of flexible machine, loading/unloading robot and an automated pallethandling device. We consider unreliable flexible manufacturing cell (FMC) wherein machine and robot operate under individual as well as common cause random failures. The pallethandling system is completely reliable. The pallet o...

[ 17 ] - Maintenance Cost Analysis for Replacement Model with Perfect Minimal Repair

With the evolution of technology, the maintenance of sophisticated systems is of concern for system engineers and system designers. The maintenance cost of the system depends in general on the replacement and repair policies. The system replacement may be in a strictly periodic fashion or on a random basis depending upon the maintenance policy. At failure, the repair of the system may be perfor...

[ 18 ] - 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...

[ 19 ] - 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...