LEADER 02868oam 2200505I 450 001 9910151704103321 005 20240501162721.0 010 $a1-4987-5672-7 010 $a1-315-36791-2 010 $a1-4987-5662-X 024 7 $a10.1201/9781315367910 035 $a(CKB)3710000000952501 035 $a(MiAaPQ)EBC4745598 035 $a(OCoLC)963967463 035 $a(EXLCZ)993710000000952501 100 $a20180706h20172017 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aModeling and analysis of stochastic systems /$fVidyadhar G. Kulkarni, Department of Statistics and Operations Research University of North Carolina at Chapel Hill, USA 205 $aThird edition. 210 1$aBoca Raton :$cCRC Press,$d[2017] 210 4$dİ2017 215 $a1 online resource (606 pages) $cillustrations 225 1 $aChapman & hall/CRC texts in statistical science series 300 $a"A Chapman & Hall Book"--cover. 311 08$a1-4987-5661-1 320 $aIncludes bibliographical references and index. 327 $a1. Introduction -- 2. Discrete-time Markov chains : transient behavior -- 3. Discrete-time Markov chains : first passage times -- 4. Discrete-time Markov chains : limiting behavior -- 5. Poisson processes -- 6. Continous-time Markov chains -- 7. Queueing models -- 8. Renewal processes -- 9. Markov regenerative processes -- 10. Diffusion processes. 330 $aBuilding on the author's more than 35 years of teaching experience, Modeling and Analysis of Stochastic Systems, Third Edition, covers the most important classes of stochastic processes used in the modeling of diverse systems. For each class of stochastic process, the text includes its definition, characterization, applications, transient and limiting behavior, first passage times, and cost/reward models. The third edition has been updated with several new applications, including the Google search algorithm in discrete time Markov chains, several examples from health care and finance in continuous time Markov chains, and square root staffing rule in Queuing models. More than 50 new exercises have been added to enhance its use as a course text or for self-study. The sequence of chapters and exercises has been maintained between editions, to enable those now teaching from the second edition to use the third edition. 410 0$aTexts in statistical science. 606 $aStochastic processes 606 $aStochastic systems 615 0$aStochastic processes. 615 0$aStochastic systems. 676 $a519.2/3 700 $aKulkarni$b Vidyadhar G.$0614043 801 0$bFlBoTFG 801 1$bFlBoTFG 906 $aBOOK 912 $a9910151704103321 996 $aModeling and analysis of stochastic systems$92800808 997 $aUNINA