Stochastic storage processes
Subtitle: queues, insurance risk, dams, and data communication
By: N.U. Prabhu.
Edition: 2nd ed.
Series: Applications of mathematics ;; 15
Publisher: Springer
Published: 1998
Place of publication: New York
Language: eng
Number of pages: 206
Subjects: Queuing theory; Stochastic processes
Description: This monograph gives a self-contained treatment of stochastic processes arising from models for queues, insurance risk, dams and data communication, using their sample function properties. The approach is based on the fluctuation theory of random walks, Levy processes, and Markov-additive processes, in which Wiener-Hopf factorization plays a central role.

The second edition includes results for the virtual waiting time and queue length in single server queues. The treatment of continuous time storage processes is thoroughly revised and simplified. Markov-modulated storage processes are included in Part III with application to data communication models. The book can be used as a text for an advanced course on applied probability models. The prerequisite is a graduate-level course in probability and stochastic processes.
Notes: Includes bibliographical references and index.