Cognitive Radio Network has been widely researched to improve utilization of radio electromagnetic spectrum efficiency usage. Spectrum occupancy in Cognitive framework includes licensed and unlicensed users sharing set of channel over a coverage area. In this paper, we develop a 2D Markov Model to define transition rate and analyze call dropping probability for unlicensed users and channel util...

This paper studies an infinite-server queue in a Markov environment, that is, an infiniteserver queue with arrival rates and service times depending on the state of a Markovian background process. We focus on the probability that the number of jobs in the system attains an unusually high value. Scaling the arrival rates λi by a factor N and the transition rates νij of the background process as ...

This paper analyses a multiple class single server M/M/1/K queue with finite capacity under preemptive service priority discipline. The Poisson process has been used to model the multiple classes of arrival streams. The service times have exponential distribution. Analytical expressions for the flow balanced equations have been derived using Markov chain. This paper presents an analytical solut...

In this paper, an M/G/1 queue model with the multiple adaptive vacations and pure decrementing service policy is studied based on the classical M/G/1 queueing model. The PGF of stationary queue length is derived by using an embedded Markov chain method. The LST of stationary waiting time is also given according to the independence between waiting time and arrival process. The average probabilit...

A GI/M/1-type queueing system with finite buffer capacity and AQM-type packet dropping is investigated. Even when the buffer is not saturated an incoming packet can be dropped (lost) with probability dependent on the instanteneous queue size. The system of integral equations for time-dependent queue-size distribution conditioned by the number of packets present in the system initially is built ...

Markov model of multi-component machining system comprising two unreliable heterogeneous servers and mixed type of standby support has been studied. The repair job of broken down machines is done on the basis of bi-level threshold policy for the activation of the servers. The server returns back to render repair job when the pre-specified workload of failed machines is build up. The first (seco...