Asymptotic Expansion: Weak and Strong Interactions

  • G. George Yin
  • Qing Zhang
Part of the Applications of Mathematics book series (SMAP, volume 37)

Abstract

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.

Keywords

Fatigue Manifold 

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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • G. George Yin
    • 1
  • Qing Zhang
    • 2
  1. 1.Department of MathematicsWayne State UniversityDetroitUSA
  2. 2.Department of MathematicsUniversity of GeorgiaAthensUSA

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