A Solution of Single Server and Multiserver General Queueing Systems Using a Linear Algebraic Approach
Performance evaluation of computer systems and communication networks is very important due to the essential need of finding such systems which can meet all the objectives, for which these resources are built, at an acceptable cost. Many methods h ave been applied to describe the performance of...
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| Main Author: | |
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| Format: | Thesis |
| Language: | English English |
| Published: |
1995
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| Subjects: | |
| Online Access: | http://psasir.upm.edu.my/id/eprint/8592/1/FSAS_1995_1_A.pdf |
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| Summary: | Performance evaluation of computer systems and communication
networks is very important due to the essential need of finding such
systems which can meet all the objectives, for which these resources are
built, at an acceptable cost. Many methods h ave been applied to describe
the performance of these resources and to find possible ways of
improving performance. Each of these methods has its own characteristics
and procedure in dealing with the performance concept. These procedure
describe these systems such that a previously specified technique can be
used to evaluate useful performance measurements which will help
decision making. The queueing network model is the most widely used computer
systems and communication networks description method. Traditional
techniques used in solving the above method use unrelated mathematical
techniques. The linear algebraic approach has been chosen as the
mathematical approach in this thesis. This approach transforms the
queuing theory problems from those of integral equations into those of
algebraic equations over a finite dimensional vector space. The solutions
obtained using this approach can now make use of the high-speed
parallel processors since the components of these solutions are in matrixvector
format. In this research, the linear algebraic approach is used to
derive explicit solutions for single server and multi server general queueing
systems. |
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