Asymptotic Expansion: Weak and Strong Interactions
This chapter presents the asymptotic expansion of singularly perturbed Markov chains with slow and fast components subject to weak and strong interactions. Such time-scale separation stems from various applications in production planning, queueing networks, random fatigue, system reliability, competing risk theory, control and optimization of large-scale dynamical systems, and related fields. The underlying models in which some components change very rapidly whereas others vary relatively slowly, are more complex than those of Chapter 4.
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