Approximate Transient Analysis of Queuing Networks by Decomposition based on Time-Inhomogeneous Markov Arrival Processes
Journal Title: EAI Endorsed Transactions on Internet of Things - Year 2015, Vol 1, Issue 2
Abstract
We address the transient analysis of networks of queues with exponential service times. Such networks can easily have such a huge state space that their exact transient analysis is unfeasible. In this paper we propose an approximate transient analysis technique based on decomposing the queues of the network using a compact and approximate representation of the departure process of each queue. Namely, we apply time-inhomogeneous Markov arrival processes (IMAP) to describe the stream of clients leaving the queues. By doing so, the overall approximate model of the network is a time-inhomogeneous continuous time Markov chain (ICTMC) with significantly less number of states than there are in the original Markov chain. The proposed construction of the output IMAP of a queue is based on its transient state probabilities. We illustrate the approach first on a single M/M/1 queue and analyze the goodness of fitting of the departure process by numerical examples. Then we extend the approach to networks of queues and evaluate the precision of the resulting technique on several simple numerical examples by comparing the exact and the approximate transient probabilities of the queues.
Authors and Affiliations
Andras Horvath, Alessio Angius
Keywords
Related Articles
- EP ID EP46459
- DOI http://dx.doi.org/10.4108/icst.valuetools.2014.258192
- Views 491
- Downloads 0
A Survey of Internet of Things Services Provision by Telecom Operators
Telecom industry will play a vital role in delivering Internet of Things (IoT) solutions and services. Researchers trust that IoT services deployment by Telecom is inevitable during the next few years. Nowadays, digital...
Transition into Internet of Things in Resource Constrained Settings: A Case Study from Malawi
Information Communication Technology (ICT) has in so many ways proved to be the drive of economy and a game changer to many disciplines. However digital divide has been of concern as developed countries have been benefit...
Experiments of An active electrode amplifier using SIP with DC rejection for bio-potential recording
We present a bioelectric amplifier with SIP for active electrode in this paper .The mid-band gain of the amplifier is 39.95dB.The bandwidth extends from a low frequency cutoff of 7.9mHz to a high frequency cutoff of 2.1k...
Platforms and Protocols for the Internet of Things
Building a general architecture for the Internet of Things (IoT) is a very complex task, exacerbated by the extremely large variety of devices, link layer technologies, and services that may be involved in such a system....
Powering environment monitoring Wireless Sensor Networks: A review of design and operational challenges in Eastern Africa
This paper discusses the various design and operational challenges that we have met in providing power to Wireless Sensor Networks (WSNs) deployed in environment monitoring in East Africa. While such deployments in Afric...