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What do you do to start reading probability stochastic processes and queueing theory the mathematics of computer performance model? Searching the book that you love to read first or find anâ€¦ (More)

- Randolph D. Nelson, Leonard Kleinrock
- IEEE Trans. Communications
- 1984

A bstract-In this paper we determine throughput equations for a packet radio network where terminals are randomly distributed on the plane, are able to capture transmitted signals, and use slottedâ€¦ (More)

- Randolph D. Nelson, Donald F. Towsley, Asser N. Tantawi
- SIGMETRICS
- 1987

A centralized parallel processing system with job splitting is considered. In such a system, jobs wait in a central queue, which is accessible by all the processors, and are split into independentâ€¦ (More)

- Mark S. Squillante, Randolph D. Nelson
- SIGMETRICS
- 1991

In shared-memory multiprocessor systems it may be more efficient to schedule a task on one processor than on mother. Due to the inevitability of idle processors in these environments, there exists anâ€¦ (More)

- Randolph D. Nelson
- J. ACM
- 1987

In this paper catastrophic behavior found in computer systems is investigated. Deterministic Catastrophe theory is introduced first. Then it is shown how the theory can be applied in a stochasticâ€¦ (More)

- Randolph D. Nelson, Thomas K. Philips
- SIGMETRICS
- 1989

In this paper we derive an approximation for the mean response time of a multiple queue system in which shortest queue routing is used. We assume there are <italic>&Kgr;</italic> identical queuesâ€¦ (More)

- Randolph D. Nelson, Leonard Kleinrock
- INFOCOM
- 1983

- Randolph D. Nelson, Thomas K. Philips
- Perform. Eval.
- 1993

Nelson, R.D. and T.K. Philips, An approximation for the mean response time for shortest queue routing with general interarrival and service times, Performance Evaluation 17 (1993) 123-139. In thisâ€¦ (More)

- Randolph D. Nelson
- ACM Comput. Surv.
- 1993

Markov processes that have a product form solution have become an important computer performance modeling tool. The fact that such a simple solutlon exists for seemingly complex Markov processes Mâ€¦ (More)

- Randolph D. Nelson
- SIGMETRICS
- 1990

In this paper we analyze a model of a parallel processing system. In our model there is a single queue which is <italic>K</italic> ≥ 1 identical processors. Jobs are assumed to consist of aâ€¦ (More)