On a walk in a strip with inhibitory boundaries |
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Authors: | A A Borovkov |
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Institution: | 1. Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR, USSR
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Abstract: | In the paper we have obtained ergodic theorems for walks generated by sums of stationarily connected random variables and two inhibitory boundaries. We have found representations for the steady-state distributions, permitting us to obtain in the case of independent summands a whole series of useful formulas. We discuss the connection of the results established with problems from queueing theory. |
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