this paper presents a discrete-time single-server finite buffer n threshold policy queue with renewal input and discretemarkovian service process. the server terminates service whenever the system becomes empty, and recommencesservice as soon as the number of waiting customers in the queue is n. we obtain the system-length distributionsat pre-arrival and arbitrary epochs using the supplementary...

This paper presents a finite buffer renewal input single working vacation and vacation interruption queue with state dependent services and state dependent vacations, which has a wide range of applications in several areas including manufacturing, wireless communication systems. Service times during busy period, vacation period and vacation times are exponentially distributed and are state depe...

This paper deals with the optimal control of a finite capacity G/M/1 queueing system combined the F-policy and an exponential startup time before start allowing customers in the system. The F-policy queueing problem investigates the most common issue of controlling arrival to a queueing system. We provide a recursive method, using the supplementary variable technique and treating the supplement...

Abstract: This paper treats a discrete-time batch arrival queue with geometrically working vacations and vacation interruption. The main purpose of this paper is to present a performance analysis of this system. For this purpose, we first derive the probability generating function (PGF) of the stationary system length at the departure epochs based on the embedded Markov chain technique. Next, w...

This paper studies a G/M/1/K queueing system, where the server applies an N policy and takes a single vacation when the system is empty. We provide a recursive method, using the supplementary variable technique and treating the supplementary variable as the remaining inter-arrival time, to develop the steady-state probability distributions of the number of customers in the system. The method is...

We present a paradigm for developing thermodynamical consistent numerical algorithms thermodynamically partial differential equation (TCPDE) systems, called the supplementary variable method (SVM). add proper number of variables to TCPDE system coupled with its energy and other deduced equations through perturbations arrive at consistent, well-determined, solvable structurally stable system. Th...

This paper investigates the reliability characteristics of a complex system having nine subsystems arranged in the form of 3x3 matrix in which each row contains three subsystems. The configuration of the row is of the type 2-out-of-3: F. Each subsystem has n units connected in series. The system fails if any one row containing three subsystems fails. The considered system analyzed incorporating...