AN EXPLICIT SOLUTION TO A PARTICULAR MARKOV-CHAIN OF M G/1 TYPE/

A Markov chain of M/G/1 type, which arose in a problem of communicatio ns engineering, is analyzed by a combination of matrix analysis and ap propriate series expansions. The highly explicit results obtainable fo r this model owe much to analytic methods introduced by Professor Taka cs. Special features of the numerical implementation of the proposed s olution are also discussed. The simplifications proper to this model c an also be used in some related, more complex models to be discussed e lsewhere.