This paper deals with finite capacity single server queuing system with vacations. Vacation starts at rate nu if the system is empty. Also the server takes another vacation if upon his arrival to the system, finds the system empty. Customers arrive in the system in Poisson fashion at rate lamda0 during vacation, faster rate lamdaf during active service and slower rate lamdas during the breakdow...

Abstract: The purpose of this research is to develop algorithm calculating the traffic queue length which is main variable for effective operation at signalized intersection. For the methods to calculate the traffic queue length, there are queue theory and shock wave theory. And, the estimation of traffic queue length by existing point detection system utilizes traffic queue theory calculating ...

This paper presents the analysis of a renewal input  finite buffer queue wherein the customers can decide either to  join the queue with a probability or balk. The service process is Markovian service process ($MSP$) governed  by an underlying $m$-state Markov chain. Employing the supplementary  variable and imbedded Markov chain techniques,   the steady-state system length distributions at pre...

We consider a system consisting of single transmitter/receiver pair and N channels over which they may communicate. Packets randomly arrive to the transmitter’s queue wait be successfully sent receiver. The transmitter attempt frame transmission on one channel at time, where each includes packet if is in queue. For channel, an attempted successful with unknown probability. objective quickly ide...