<p>This book presents a thorough development of the modern theory of stochastic approximation or recursive stochastic algorithms for both constrained and unconstrained problems. This second edition is a thorough revision, although the main features and structure remain unchanged. It contains many additional applications and results as well as more detailed discussion.</p>

Stochastic Approximation and Recursive Algorithms and Applications (Stochastic Modelling and Applied Probability, 35)

Computers & Technology

Kushner, Harold

Yin, G. George

Computer Science

Springer

This book encompasses the study of hybrid switching di usion processes and their applications. The word \hybrid" signi es the coexistence of c- tinuous dynamics and discrete events, which is one of the distinct features of the processes under consideration. Much of the book is concerned with the interactions of the continuous dynamics and the discrete events. Our motivations for studying such processes originate from emerging and - isting applications in wireless communications, signal processing, queueing networks, production planning, biological systems, ecosystems, nancial engineering, and modeling, analysis, and control and optimization of lar- scale systems, under the in uence of random environments. Displaying mixture distributions, switching di usions may be described by the associated operators or by systems of stochastic di erential eq- tions together with the probability transition laws of the switching actions. We either have Markov-modulated switching di usions or processes with continuous state-dependent switching. The latter turns out to be much more challenging to deal with. Viewing the hybrid di usions as a number of di usions joined together by the switching process, they may be se- ingly not much di erent from their di usion counterpart. Nevertheless, the underlying problems become more di cult to handle, especially when the switching processes depend on continuous states. The di culty is due to the interaction of the discrete and continuous processes and the tangled and hybrid information pattern.

Hybrid Switching Diffusions: Properties and Applications (Stochastic Modelling and Applied Probability, 63)

Zhu, Chao

Stochastic Approximation and Recursive Algorithms and Applications (Stochastic Modelling and Applied Probability)

Kushner, Harold J.

<p>Using a singular perturbation approach, this book offers a systematic treatment of systems that naturally arise in queuing theory, control and optimisation and manufacturing. Provides a single source for concepts previously scattered throughout the literature.</p>

Continuous-Time Markov Chains and Applications: A Two-Time-Scale Approach (Stochastic Modelling and Applied Probability, 37)

Business & Money

张青

Management & Leadership

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