On the quasi-stationary distribution for queueing networks with defective routing

Richard J. Boucherie
1997 The Journal of the Australian Mathematical Society Series B Applied Mathematics  
This note introduces quasi-local-balance for discrete-time Markov chains with absorbing states. From quasi-local-balance product-form quasi-stationary distributions are derived by analogy with product-form stationary distributions for Markov chains that satisfy local balance.
doi:10.1017/s0334270000000795 fatcat:uyvkfuvkb5hjhplbitvj3oo2jq