ACM Transactions on Computer Systems (TOCS)
Stochastic Automata Network of Modeling Parallel Systems
IEEE Transactions on Software Engineering
Analysis of multimedia traffic queues with finite buffer and overload control, part ii: applications
IEEE INFOCOM '92 Proceedings of the eleventh annual joint conference of the IEEE computer and communications societies on One world through communications (Vol. 2)
Numerical methods in Markov chain modeling
Operations Research
Iterative aggregation/disaggregation techniques for nearly uncoupled markov chains
Journal of the ACM (JACM)
From queueing networks to Markov chains: the XMARCA interface
Performance Evaluation - Special issue: performance modeling tools
Efficient descriptor-vector multiplications in stochastic automata networks
Journal of the ACM (JACM)
Expokit: a software package for computing matrix exponentials
ACM Transactions on Mathematical Software (TOMS)
Aggregation Methods for Large Markov Chains
Proceedings of the International Workshop on Computer Performance and Reliability
SPNP: Stochastic Petri Net Package
PNPM '89 The Proceedings of the Third International Workshop on Petri Nets and Performance Models
Parallel Shared-Memory State-Space Exploration in Stochastic Modeling
IRREGULAR '97 Proceedings of the 4th International Symposium on Solving Irregularly Structured Problems in Parallel
Parallel State Space Exploration for GSPN Models
Proceedings of the 16th International Conference on Application and Theory of Petri Nets
Storage Alternatives for Large Structured State Spaces
Proceedings of the 9th International Conference on Computer Performance Evaluation: Modelling Techniques and Tools
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
ON THE USE OF KRONECKER OPERATORS FOR THE SOLUTION OF GENERALIZED STOCHASTIC PETRI NETS
ON THE USE OF KRONECKER OPERATORS FOR THE SOLUTION OF GENERALIZED STOCHASTIC PETRI NETS
The solution of quasi birth and death processes arising from multiple access computer systems
The solution of quasi birth and death processes arising from multiple access computer systems
Memory-efficient Kronecker algorithms with applications to the modelling of parallel systems
Future Generation Computer Systems - Systems performance analysis and evaluation
| Hi-index | 0.00 |
Markov chains have become an accepted technique for modeling a great variety of situations. They have been in use since the early 1900's, but it is only in recent years with the advent of high speed computers and cheap memory that they have begun to be applied to large-scale modeling projects. This paper outlines the events that have lead to the present state-of-the-art in the numerical approach to Markov chain performance modeling and describes current solution methods and ongoing research efforts.