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A Statistical Mechanical Approach to Systems Analysis

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1 Author(s)
A. E. Ferdinand ; IBM Systems Development Division Lahoratory, Kingston, New York 12401, USA

The maximum entropy principle is used as the criterion for calculating the equilibrium state probabilities of a queuing or network system in which service rates are exponentially distributed. A configuration-independent partition function is given as the solution to this network problem; from this function the important properties of the system may be derived. Simple and well known examples are used to illustrate the method. A phenomenon similar to the phase transition of statistical mechanics is observed in a queuing model.

Note: The Institute of Electrical and Electronics Engineers, Incorporated is distributing this Article with permission of the International Business Machines Corporation (IBM) who is the exclusive owner. The recipient of this Article may not assign, sublicense, lease, rent or otherwise transfer, reproduce, prepare derivative works, publicly display or perform, or distribute the Article.  

Published in:

IBM Journal of Research and Development  (Volume:14 ,  Issue: 5 )