Computing Poisson probabilities
Communications of the ACM
Journal of the ACM (JACM)
TCP/IP illustrated (vol. 1): the protocols
TCP/IP illustrated (vol. 1): the protocols
A histogram-based model for video traffic behavior in an ATM multiplexer
IEEE/ACM Transactions on Networking (TON)
The Markov-modulated Poisson process (MMPP) cookbook
Performance Evaluation
An EM algorithm for estimation in Markov-modulated Poisson processes
Computational Statistics & Data Analysis
Stochastic modeling of traffic processes
Frontiers in queueing
Self-similarity and heavy tails: structural modeling of network traffic
A practical guide to heavy tails
ACM SIGCOMM Computer Communication Review
IEEE Internet Computing
Wide-area Internet traffic patterns and characteristics
IEEE Network: The Magazine of Global Internetworking
Modeling IP traffic: joint characterization of packet arrivals and packet sizes using BMAPs
Computer Networks: The International Journal of Computer and Telecommunications Networking
Performance Evaluation - Special issue: Distributed systems performance
The BMAP/G/1/N -- · /PH/1/M tandem queue with losses
Performance Evaluation
Delay analysis of downlink IP traffic on UMTS mobile networks
Performance Evaluation - Performance 2005
Duration of the buffer overflow period in a batch arrival queue
Performance Evaluation
On the effects of the packet size distribution on FEC performance
Computer Networks: The International Journal of Computer and Telecommunications Networking - Selected papers from the 3rd international workshop on QoS in multiservice IP networks (QoS-IP 2005)
A general model for long-tailed network traffic approximation
The Journal of Supercomputing
Buffer overflow calculations in a batch arrival queue
ACM SIGMETRICS Performance Evaluation Review
The BMAP/G/1--·/PH/1/M tandem queue with feedback and losses
Performance Evaluation
Evaluation of network traffic workload scaling techniques
Computer Communications
Queues in DOCSIS cable modem networks
Computers and Operations Research
Estimating Markov-modulated compound Poisson processes
Proceedings of the 2nd international conference on Performance evaluation methodologies and tools
A histogram-based stochastic process for finite buffer occupancy analysis
Proceedings of the 2nd international conference on Performance evaluation methodologies and tools
On the blocking probability in batch Markovian arrival queues
Microprocessors & Microsystems
Internet traffic modeling by means of Hidden Markov Models
Computer Networks: The International Journal of Computer and Telecommunications Networking
Integration of streaming and elastic traffic: a fixed point approach
Proceedings of the 1st international conference on Simulation tools and techniques for communications, networks and systems & workshops
Markovian Characterisation of H.264/SVC Scalable Video
ASMTA '08 Proceedings of the 15th international conference on Analytical and Stochastic Modeling Techniques and Applications
ASMTA '08 Proceedings of the 15th international conference on Analytical and Stochastic Modeling Techniques and Applications
Erlang loss queueing system with batch arrivals operating in a random environment
Computers and Operations Research
Load transformation of Markovian arrival processes: methods and tool support
Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools
Transform representation of the level-crossing probability in a single-server queue
MATH'08 Proceedings of the 13th WSEAS international conference on Applied mathematics
Per-stream loss behavior of ΣMAP/M/1/K queuing system with a random early detection mechanism
Information Sciences: an International Journal
Markovian arrival process parameter estimation with group data
IEEE/ACM Transactions on Networking (TON)
Loss performance model for wireless channels with autocorrelated arrivals and losses
Computer Communications
Markov models of internet traffic and a new hierarchical MMPP model
Computer Communications
On the effects of the packet size distribution on FEC performance
Computer Networks: The International Journal of Computer and Telecommunications Networking - Selected papers from the 3rd international workshop on QoS in multiservice IP networks (QoS-IP 2005)
An EM algorithm for Markov modulated Markov processes
IEEE Transactions on Signal Processing
The BMAP/PH/N retrial queueing system operating in Markovian random environment
Computers and Operations Research
Network queue and loss analysis using histogram-based traffic models
Computer Communications
Research of traffic modeling for future wireless networks
WiCOM'09 Proceedings of the 5th International Conference on Wireless communications, networking and mobile computing
A discrete-time Markov-modulated queuing system with batched arrivals
Performance Evaluation
Time to buffer overflow in an MMPP queue
NETWORKING'07 Proceedings of the 6th international IFIP-TC6 conference on Ad Hoc and sensor networks, wireless networks, next generation internet
An accurate and analytically tractable model for human inter-contact times
Proceedings of the 13th ACM international conference on Modeling, analysis, and simulation of wireless and mobile systems
Multi-class Markovian arrival processes and their parameter fitting
Performance Evaluation
Performance analysis of the BMAP/G/1 queue with gated servicing and adaptive vacations
Performance Evaluation
Markovian modelling of internet traffic
Network performance engineering
Proceedings of the 6th International Conference on Queueing Theory and Network Applications
Internet traffic source based on hidden Markov model
NEW2AN'11/ruSMART'11 Proceedings of the 11th international conference and 4th international conference on Smart spaces and next generation wired/wireless networking
Traffic modeling and characterization for UTRAN
WWIC'06 Proceedings of the 4th international conference on Wired/Wireless Internet Communications
Call center operation model as a MAP/PH/N/R-N system with impatient customers
Problems of Information Transmission
An EM algorithm for markovian arrival processes observed at discrete times
MMB&DFT'10 Proceedings of the 15th international GI/ITG conference on Measurement, Modelling, and Evaluation of Computing Systems and Dependability and Fault Tolerance
An empirical comparison of MAP fitting algorithms
MMB&DFT'10 Proceedings of the 15th international GI/ITG conference on Measurement, Modelling, and Evaluation of Computing Systems and Dependability and Fault Tolerance
A queueing system with batch arrival of customers in sessions
Computers and Industrial Engineering
Queue size in a BMAP queue with finite buffer
NEW2AN'06 Proceedings of the 6th international conference on Next Generation Teletraffic and Wired/Wireless Advanced Networking
Traffic splitting in a network: split traffic models and applications
Computer Communications
Towards bandwidth estimation using flow-level measurements
AIMS'12 Proceedings of the 6th IFIP WG 6.6 international autonomous infrastructure, management, and security conference on Dependable Networks and Services
An EM algorithm for continuous-time bivariate Markov chains
Computational Statistics & Data Analysis
On the number of losses in an MMPP queue
NEW2AN'07 Proceedings of the 7th international conference on Next Generation Teletraffic and Wired/Wireless Advanced Networking
Computer Networks: The International Journal of Computer and Telecommunications Networking
Green Networking With Packet Processing Engines: Modeling and Optimization
IEEE/ACM Transactions on Networking (TON)
| Hi-index | 0.00 |
In this paper, we show how to utilize the expectation-maximization (EM) algorithm for efficient and numerical stable parameter estimation of the batch Markovian arrival process (BMAP). In fact, effective computational formulas for the E-step of the EM algorithm are presented, which utilize the well-known randomization technique and a stable calculation of Poisson jump probabilities. Moreover, we identify the BMAP as an analytically tractable model of choice for aggregated traffic modeling of IP networks. The key idea of this aggregated traffic model lies in customizing the BMAP such that different lengths of IP packets are represented by rewards of the BMAP. Using measured traffic data, a comparative study with the MMPP and the Poisson process illustrates the effectiveness of the customized BMAP for IP traffic modeling by visual inspection of sample paths over several time scales, by presenting important statistical properties as well as by investigations of queuing behavior.