Steady-State Analysis of a Flexible Markovian Queue with Server Breakdowns

Steady State Probabilities of a Three Preemptive Single Server Queue

Transient Behavior Analysis of a Finite Capacity Queue with Working Breakdowns and Server

Abstract—This study considers the M/M/1/N queue with working breakdowns and server vacations. We assume that the arrivals occur according to a Poisson process. The server is subject to breakdowns and repairs while in operation. At failure times, the server still works at a lower service rate rather than completely stopping service. When there are no customers in the system, the server takes mul...

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 analysis of a queue with varying service rate

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) tra c at an ATM switch in the ...

Analysis of Operating Characteristics for the Heterogeneous Batch Arrival Queue with Server Startup and Breakdowns

In this paper we consider a like-queue production system in which server startup and breakdowns are possible. The server is turned on (i.e. begins startup) when N units are accumulated in the system and off when the system is empty. We model this system by an M/M/1 queue with server breakdowns and startup time under the N policy. The arrival rate varies according to the server’s status: off, st...