03637n a2200445#a 45000010008000000030009000080050017000170070015000340080041000490200018000900240035001080350022001430900007001651000026001722450092001982600041002903000027003314900087003585050332004455201278007776500024020556500038020796500045021176500048021626500051022106500059022616500054023206500046023746500048024206500031024686500044024996970101025437100041026447730020026857760036027058300082027418560048028239420014028719990306028855000001DE-He21320221213140637.0cr||||||||||||100301s2008 xxu| s |||| 0|eng d a97803870942127 a10.1007/978-0-387-09421-22doi a978-0-387-09421-2 amg1 aBrill, Percy H.9884910aLevel 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.943458 0aComputer system performance98850 0aDistribution (Probability theory)937119 0aIndustrial engineeringxMathematics.932460 0aBusiness logisticsxMathematical models.9480724aMathematical Modeling and Industrial Mathematics9885124aProbability Theory and Stochastic Processes9885224aOperations Research/Decision Theory9885324aIndustrial and Production Engineering9885424aProduction/Logistics9885524aSystem Performance and Evaluation98856 aMatemáticas Gerais-x(inclusive alguns textos elementares sobre assuntos específicos)9237521 aSpringerLink (Online service).988570 tSpringer eBooks08iPrinted edition:z9780387094205 0aInternational series in operations research & management science;v12393637540uhttp://dx.doi.org/10.1007/978-0-387-09421-2 2impacEBK aBRILL, Percy H. ** Level Crossing Methods in Stochastic Models. ** Boston: Springer: Springer, 2008. XXVI, 482 p (International Series in Operations Research & Management Science, 0884-8289 ; 123). ISBN 9780387094212. Disponível em: c38458d38458