# Performance and reliability modelling of computing systems using spectral expansion

@inproceedings{Chakka1995PerformanceAR, title={Performance and reliability modelling of computing systems using spectral expansion}, author={Ram Chakka}, year={1995} }

- Published 1995

This thesis is concerned with the analytical modelling of computing and other discrete event systems, for steady state performance and dependability. That is carried out using a novel solution technique, known as the spectral expansion method. The type of problems considered, and the systems analysed, are represented by certain two-dimensional Markov-processes on finite or semi-infinite lattice strips. A sub set of these Markov processes are the Quasi-Birth-and-Death processes. These models are… CONTINUE READING

#### Citations

##### Publications citing this paper.

SHOWING 1-10 OF 39 CITATIONS

## Joint-State Modeling for Open Queuing Networks with Breakdowns, Repairs and Finite Buffers

VIEW 10 EXCERPTS

CITES BACKGROUND & METHODS

## Modelling open networks with breakdowns, repairs and finite buffers, using an IPP departure process model

VIEW 7 EXCERPTS

CITES METHODS & BACKGROUND

## Analysis of a two-class continuous-time queueing model with two tandem dedicated servers

VIEW 2 EXCERPTS

HIGHLY INFLUENCED

## Analytical modelling and optimization analysis of large-scale communication systems and networks with repairmen policy

VIEW 4 EXCERPTS

CITES BACKGROUND

HIGHLY INFLUENCED

## Analysis of a queue with two priority classes and feedback controls

VIEW 4 EXCERPTS

CITES BACKGROUND & METHODS

HIGHLY INFLUENCED

## Performance analysis of some resource allocation methods in wireless cellular networks

VIEW 8 EXCERPTS

CITES METHODS

HIGHLY INFLUENCED

## Performability Analysis and Modeling in Cellular Networks with Handoff Fractional Guard Channel Policy

VIEW 4 EXCERPTS

CITES METHODS, BACKGROUND & RESULTS

HIGHLY INFLUENCED

## Generalized QBD Processes, Spectral Expansion and Performance Modeling Applications

VIEW 5 EXCERPTS

CITES BACKGROUND & METHODS

## Multi-Server Markov Queueing Models: Computational Algorithms and ICT Applications

VIEW 4 EXCERPTS

HIGHLY INFLUENCED

## Simulation and analytical approaches for estimating the performability of a multicast address dynamic allocation mechanism

VIEW 6 EXCERPTS

CITES BACKGROUND & METHODS

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 61 REFERENCES

## Approximate analysis of open queueing networks with breakdowns and repairs, Presented at Stochastic Networks Workshop, Edinburgh

VIEW 5 EXCERPTS

HIGHLY INFLUENTIAL

## Matrix-Geometric Solutions in Stochastic Models

VIEW 8 EXCERPTS

HIGHLY INFLUENTIAL

## Resier, A queueing model with finite waiting room and blocking

VIEW 5 EXCERPTS

HIGHLY INFLUENTIAL

## An algorithm for Ph/Ph/c queues

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## Theory of matrices

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## Scheduling a repairman in a finite source system

VIEW 1 EXCERPT

## Spectral analysis of M/G/1 and G/M/1 type Markov chains

VIEW 1 EXCERPT

## Analysis of a finite capacity multi-server delay-loss system with a general Markovian arrival process

VIEW 2 EXCERPTS