Analysis of Remote Terminal Backlogs under Heavy Demand Conditions
Journal of the ACM (JACM)
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
SOSP '71 Proceedings of the third ACM symposium on Operating systems principles
Analysis of system bottlenecks using a queueing network model
Proceedings of the SIGOPS workshop on System performance evaluation
The optimal organization of multiprogrammed multi-level memory
Proceedings of the SIGOPS workshop on System performance evaluation
SIGME '73 Proceedings of the 1973 ACM SIGME symposium
Network models for large-scale time-sharing systems
Network models for large-scale time-sharing systems
Distributed control of computer systems
IEEE Transactions on Computers - The MIT Press scientific computation series
Approximate Analysis of Load Dependent General Queueing Networks
IEEE Transactions on Software Engineering
An analysis of network performance degradation induced by workload fluctuations
IEEE/ACM Transactions on Networking (TON)
On Approximate Computer System Models
Journal of the ACM (JACM)
Approximate Methods for Analyzing Queueing Network Models of Computing Systems
ACM Computing Surveys (CSUR)
Survey of analytic queueing network models of computer systems
SIGMETRICS '79 Proceedings of the 1979 ACM SIGMETRICS conference on Simulation, measurement and modeling of computer systems
Aggregation of stations in queueing network models of multiprogrammed computers
SIGMETRICS '81 Proceedings of the 1981 ACM SIGMETRICS conference on Measurement and modeling of computer systems
On the existence of composite flow equivalent markovian servers
PERFORMANCE '80 Proceedings of the 1980 international symposium on Computer performance modelling, measurement and evaluation
A study of queueing networks with deterministic service and applications to computer networks
SIGMETRICS '76 Proceedings of the 1976 ACM SIGMETRICS conference on Computer performance modeling measurement and evaluation
A critical overview of computer performance evaluation
ICSE '76 Proceedings of the 2nd international conference on Software engineering
A closed, cyclic, two-stage multiprogrammed system model and its diffusion approximation solution
SIGMETRICS '74 Proceedings of the 1974 ACM SIGMETRICS conference on Measurement and evaluation
Studies in Markov models of computer systems
ACM '75 Proceedings of the 1975 annual conference
Extensions and computational aspects of an iterative method
SIGMETRICS '82 Proceedings of the 1982 ACM SIGMETRICS conference on Measurement and modeling of computer systems
Beyond fluid models: modelling TCP mice in IP networks under non-stationary random traffic
Computer Networks: The International Journal of Computer and Telecommunications Networking
A Fokker-Planck equation method predicting Buffer occupancy in a single queue
Computer Networks: The International Journal of Computer and Telecommunications Networking
VLDB '77 Proceedings of the third international conference on Very large data bases - Volume 3
Load Redistribution Under Failure in Distributed Systems
IEEE Transactions on Computers
An approximation manpower planning model for after-sales field service support
Computers and Operations Research
Stochastic Process Models for Packet/Analytic-Based Network Simulations
Proceedings of the 22nd Workshop on Principles of Advanced and Distributed Simulation
AFIPS '75 Proceedings of the May 19-22, 1975, national computer conference and exposition
A Diffusion Approximation Analysis of Multilevel Ad Hoc and Sensor Networks
ADHOC-NOW '09 Proceedings of the 8th International Conference on Ad-Hoc, Mobile and Wireless Networks
IBM contributions to computer performance modeling
IBM Journal of Research and Development
A diffusion approximation model for wireless networks based on IEEE 802.11 standard
Computer Communications
Exact analysis of performance models by the Method of Moments
Performance Evaluation
A class of tractable models for run-time performance evaluation
ICPE '12 Proceedings of the 3rd ACM/SPEC International Conference on Performance Engineering
Approximate techniques for modeling the performance of complex systems
Computer Languages
On extreme values in open queueing networks
Mathematical and Computer Modelling: An International Journal
Refining diffusion approximations for queues
Operations Research Letters
Diffusion-equation model of slightly loaded M/M /1 queue
Operations Research Letters
| Hi-index | 0.01 |
The practical value of queueing theory in engineering applications such as in computer modeling has been limited, since the interest in mathematical tractability has almost always led to an oversimplified model. The diffusion process approximation is an attempt to break away from the vogue in queueing theory.The present paper introduces a vector-valued normal process and its diffusion equation in order to obtain an approximate solution to the joint distribution of queue lengths in a general network of queues. In this model, queueing processes of various service stations which interact with each other are approximated by a vector-valued Wiener process with some appropriate boundary conditions. Some numerical examples are presented and compared with Monte Carlo simulation results. A companion paper, Part II, discusses transient solutions via the diffusion approximation.