The analytic results obtained for various queueing and reliability indices along with long run probabilities are also validated numerically by taking an illustration.
Several papers have appeared in queueing and reliability literature which explored various aspects of machine repair problems with standby in different contexts.
Some realistic concepts such as reboot, recovery, unreliable server and vacation are incorporated in order to develop generalized queueing model so as to analyze the queueing and reliability characteristics of many real time fault tolerant systems.
The queueing and reliability indices of the machine repair systems with imperfect coverage and reboot have been studied by Jain et al. (2012), Jain (2013), Jain and Gupta (2013), Wang et al. (2013), and many more.
In queueing and reliability literature, the notable research works on Markov modeling of machining system with standby support can be found [cf. Wang and Kuo (2000), Wang and Ke (2003), and Haque and Armstrong (2007)].
Bhargava and Jain (2014) explored the utilization of the hybrid ANFIS technique to provide the comparative study of queueing and reliability results obtained by matrix geometric method (MGM) of a Markov queueing model having an unreliable server operating under vacation policy.
Both, queue and object's effect are illustrated in Fig. 11.
But both cost and reliability are growing problems.
These results show how both performance and reliability can be improved in heterogeneous environments.
ORIJ covers all aspects of OR including optimization methods, decision theory, stochastic models, simulation, game theory, queueing systems, inventory and reliability, among others.
