Steady-state distributions of queue length in the GI/G/s queue

Approximated Transient Queue Length and Waiting Time Distributions via Steady State Analysis

We propose a method to approximate the transient performance measures of a discrete time queueing system via a steady state analysis. The main idea is to approximate the system state at time slot t or on the n-th arrival—depending on whether we are studying the transient queue length or waiting time distribution—by the system state after a negative binomially distributed number of slots or arri...

Steady-State Queue Length Analysis of a Batch Arrival Queue under N-Policy with Single Vacation and Setup Times

This paper investigates the steady state property of queue length for a batch arrival queue under N-policy with single vacation and setup times. When the system becomes empty, the server is turned off at once and takes a single vacation of random length V . When he returns, if the queue length reaches or exceeds threshold ( 1) N N  , the server is immediately turned on but is temporarily unava...

Steady - State Analysis of a Queue with Varying Service RateR

In this paper we study a queueing model with a server that changes its service rate according to a nite birth and death process. The object of interest is the simultaneous distribution of the number of customers in the system and the state of the server in steady-state. The model can be applied to the performance analysis of (low priority) Available Bit Rate (ABR) traac at an ATM switch in the ...

Steady State Probabilities of a Three Preemptive Single Server Queue

Simulation and Steady State Computation of Queue Length for Signalized Arterial Networks under Fixed Time Control

We consider traffic dynamics for a network of signalized intersections under fixed time control, where the outflow from every link is constrained to be equal to an autonomous capacity function (and hence fixed-time control) if the queue length is positive and equal to the cumulative inflow otherwise. In spite of the resulting dynamics being nonLipschitz, recent work has shown existence and uniq...