TY - BOOK AU - Borovkov,K.A. TI - Elements of stochastic modelling SN - 981238300X AV - QA274 .B655 2003 U1 - 519.23 22 PY - 2003///] CY - River Edge, N.J. PB - World Scientific KW - Stochastic processes KW - Mathematical models KW - Computer simulation N1 - Includes bibliographical references and index; 1; Introduction --; 2; Basics of probability theory --; 3; Markov chains --; 4; Markov decision processes --; 5; The exponential distribution and Poisson process --; 6; Jump Markov processes --; 7; Elements of queueing theory --; 8; Elements of renewal theory --; 9; Elements of time series --; 10; Elements of simulation N2 - "This textbook has been developed from the lecture notes for a one-semester course on stochastic modelling. It reviews the basics of probability theory and then covers the following topics: Markov chains, Markov decision processes, jump Markov processes, elements of queueing theory, basic renewal theory, elements of time series and simulation. Rigorous proofs are often replaced with sketches of arguments - with indications as to why a particular result holds, and also how it is connected with other results - and illustrated by examples. Wherever possible, the book includes references to more specialised texts containing both proofs and more advanced material related to the topics covered."--BOOK JACKET ER -