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The computations are facilitated by the algorithms of matrix analytic methods.
The formal structure, classifying states as levels and phases within levels, and associated algorithms of matrix analytic methods are introduced in the context of multi-reservoir systems.
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Matrix analytic method is used to solve the systems.
Matrix analytic method is used to find an algorithmic solution to the problem.
In Section 3, we analyze the performance of the system by using matrix analytic method.
We can obtain the steady state probability vector Π by matrix analytic method(See an Appendix for detailed derivation).
We analyze the system by CTMC with a level dependent QBD structure and obtain the steady state probability of the system using matrix analytic method.
In this section, we analyze CSMA in an unslotted cognitive radio network with a mixed spectrum environment of licensed and unlicensed channels by using matrix analytic method.
We analyze the system by continuous time Markov chain CTMC) with level dependent QBD structure and obtain the steady state probability of the system by matrix analytic method.
We analyze the system by CTMC with a level dependent QBD structure and obtain the steady state probability of the system using matrix analytic method, and then obtain performance measures of SU such as the loss probability of SUs and the throughput of SUs.
In particular, we use matrix-analytic methods to obtain explicit expressions for the mismatch probability that avoid numerical integration.
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