Infinite level-dependent QBD processes and matrix-analytic solutions for stochastic chemical kinetics
Advances in Applied Probability
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Please cite this item using this persistent URLhttp://hdl.handle.net/11693/21667
Systems of stochastic chemical kinetics are modeled as infinite level-dependent quasibirth-and-death (LDQBD) processes. For these systems, in contrast to many other applications, levels have an increasing number of states as the level number increases and the probability mass may reside arbitrarily far away from lower levels. Ideas from Lyapunov theory are combined with existing matrix-analytic formulations to obtain accurate approximations to the stationary probability distribution when the infinite LDQBD process is ergodic. Results of numerical experiments on a set of problems are provided. © Applied Probability Trust 2011.
- Research Paper 7144