The algebraic eigenvalue problem
The algebraic eigenvalue problem
Decomposability, instabilities, and saturation in multiprogramming systems
Communications of the ACM
Dynamic space-sharing in computer systems
Communications of the ACM
Stochastic models for systems of multiple integrated processors.
Stochastic models for systems of multiple integrated processors.
Numerical solution of nearly decomposable queueing networks
Numerical solution of nearly decomposable queueing networks
Mean Value Analysis for Blocking Queueing Networks
IEEE Transactions on Software Engineering
Approximate Analysis of Load Dependent General Queueing Networks
IEEE Transactions on Software Engineering
Nonexponential networks of queues: a maximum entropy analysis
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The GTPN analyzer: numerical methods and user interface
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A Simultaneous Iteration Algorithm for Real Matrices
ACM Transactions on Mathematical Software (TOMS)
Approximate Methods for Analyzing Queueing Network Models of Computing Systems
ACM Computing Surveys (CSUR)
The aggregate server method for analyzing serialization delays in computer systems
ACM Transactions on Computer Systems (TOCS)
Analysis of locking policies in database management systems
Communications of the ACM
Proceedings of the 33nd conference on Winter simulation
A Multiprocessor Bus Design Model Validated by System Measurement
IEEE Transactions on Parallel and Distributed Systems
WSC '83 Proceedings of the 15th conference on Winter Simulation - Volume 2
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
Numerical solution of some multiple chain queueing networks
ACM SIGMETRICS Performance Evaluation Review
Numerical solution of some multiple chain queueing networks
ACM SIGMETRICS Performance Evaluation Review
Speeding up computer system simulations using hierarchical modeling
ACM SIGMETRICS Performance Evaluation Review
Computers and Industrial Engineering
Journal of Computational and Applied Mathematics
Approximate solution of queueing networks with simultaneous resource possession
IBM Journal of Research and Development
LASS: A language for stochastic systems
Computer Languages
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
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This paper presents several numerical methods which may be used to obtain the stationary probability vectors of Markovian models. An example of a nearly decomposable system is considered, and the results obtained by the different methods examined. A post mortem reveals why standard techniques often fail to yield the correct results. Finally, a means of estimating the error inherent in the decomposition of certain models is presented.