Simplified description of slow-in-the-average Markov walks

The averaging theory for the slow Markov walks is extended to the so called slow-in-the-average Markov processes where the jump vector takes arbitrarily large values with sufficiently small probabilities. The results obtained are important for applications, in particular, communication networks and manufacturing systems.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/29623/1/0000712.pd