We study an M/M/2 queueing system with two heterogeneous servers under a variant vacation policy, where the two servers may take together at most J vacations when the system is empty. A quasi-birth-and-death process is formulated to analyze the system. We obtain the explicit expressions of the stationary distribution of the system size and the mean system size. We also show that the number of v...

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...

In many practical situations one can observe that the leaving batch of customers may request for re-service. Avi Itzhak and Naor (1963) have analyzed an M/G/1 queueing model with repair of service station on request by a leaving customer. Rosenberg and Uri Yechiali (1993) analyzed a bulk arrival general service single server queue with single and multiple vacations under LIFO service regime. Hu...

In this paper we propose a model-based admission control scheme for maintaining QoS of voice traffic over DiffServ networks. This CAC approach implies two main components. The first one is the application of the NJ (Negligible Jitter) conjecture extended to the case of heterogenous variable bit rate voice sources. The second one is the analysis of a finite queueing system with exhaustive servic...

Abstract In this paper, we present an analysis for a general limited service Geom/G/1 queue model with multiple adaptive vacations (MAVs). The Probability Generating Function (P.G.F.) of the queue length is obtained by using an embedded Markov chain with a regeneration cycle approach. The P.G.F. of the waiting time is also derived based on the independence between the arrival process and the wa...

In this paper, Discontinuous Reception, a power savingmechanism in Long Term Evolution wireless networks, is analytically investigated in the presence of transient faults by using an unreliableM/G/1 queue with multiple vacations. System failures may occur either due to transient faults in themobile device or due towireless link errors.When a failure occurs, the device may request the retransmis...