[PDF][PDF] Practical Considerations in the Numerical Analysis of Markovian Models.

WJ Stewart - Performance, 1976 - researchgate.net
WJ Stewart
Performance, 1976researchgate.net
Although analytic techniques, such as those of Jackson,[il], Gordon and Newell, fio], etc. are
an important tool for the investigation of queueing net works, their applicability is, despite the
recent advances in more generalized models,(Baskett et al,[l], Buzen,[3], Chandy,[4], etc.)
and w¿ th approximate techniques,(Gaver,[β], Gelenbe,[δ, 9], Kobayashi,[l3]), still rather
restrictive. Simulations, on the other hand, are often very expensive and sometimes produce
results which are less than satisfactory. A numerical approach lies somewhere between …
Although analytic techniques, such as those of Jackson,[il], Gordon and Newell, fio], etc. are an important tool for the investigation of queueing net works, their applicability is, despite the recent advances in more generalized models,(Baskett et al,[l], Buzen,[3], Chandy,[4], etc.) and w¿ th approximate techniques,(Gaver,[β], Gelenbe,[δ, 9], Kobayashi,[l3]), still rather restrictive. Simulations, on the other hand, are often very expensive and sometimes produce results which are less than satisfactory.
A numerical approach lies somewhere between these two extremes. It permits a wider class of problem to be solved than with analytic techniques, although it does not possess this letter's advantages of parametrization and very low cost. Also, it is considerably less expensive and more accurate than simulation, but is unable to compete against the wealth of detail which may be incorporated into a simulation.
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