03073n a2200397#a 45000010008000000030009000080050017000170070015000340080041000490200018000900240035001080350022001431000020001652450092001852600041002773000027003184900087003455050332004325201278007646500017020426500032020596500038020916500041021296500045021706500053022156500048022686500040023166500042023566500025023986500038024237100035024617730020024967760036025168300075025528560048026275000001DE-He21320221213140637.0cr||||||||||||100301s2008 xxu| s |||| 0|eng d a97803870942127 a10.1007/978-0-387-09421-22doi a978-0-387-09421-21 aBrill, Percy H.10aLevel Crossing Methods in Stochastic Modelsh[electronic resource]/cby Percy H. Brill. aBoston:bSpringer:bSpringer,c2008. aXXVI, 482 p.bdigital.0 aInternational Series in Operations Research & Management Science,x0884-8289;v1230 aPreface -- Origin of level crossing method -- Sample path and system point -- M/G/1 queues and variants -- M/M/C queues -- G/M/c queues -- Dams and inventories -- Multi-dimensional models -- Embedded level crossing methods -- Level crossing estimation -- Additional applications -- References -- Partial bibliography -- Index . aSince its inception in 1974, the level crossing approach for analyzing a large class of stochastic models has become increasingly popular among researchers. This volume traces the evolution of level crossing theory for obtaining probability distributions of state variables and demonstrates solution methods in a variety of stochastic models including: queues, inventories, dams, renewal models, counter models, pharmacokinetics, and the natural sciences. Results for both steady-state and transient distributions are given, and numerous examples help the reader apply the method to solve problems faster, more easily, and more intuitively. The book includes introductory material for readers new to the area, as well as advanced material for experienced users of the method, highlighting its usefulness for analyzing a broad class of models and illustrating its flexibility and adaptivity. The concepts, techniques, examples, applications and theoretical results in this book may suggest potentially new theory and new applications. The result is an essential resource for researchers, students, and professionals in operations research, management science, engineering, applied probability, statistics, actuarial science, mathematics, and the natural sciences. ; 0aMathematics. 0aComputer system performance 0aDistribution (Probability theory) 0aIndustrial engineeringxMathematics. 0aBusiness logisticsxMathematical models.24aMathematical Modeling and Industrial Mathematics24aProbability Theory and Stochastic Processes24aOperations Research/Decision Theory24aIndustrial and Production Engineering24aProduction/Logistics24aSystem Performance and Evaluation1 aSpringerLink (Online service).0 tSpringer eBooks08iPrinted edition:z9780387094205 0aInternational series in operations research & management science;v12340uhttp://dx.doi.org/10.1007/978-0-387-09421-2