{"product_id":"fundamentals-of-queueing-theory-solutions-manual-paperback-softback-9780470077962","title":"Fundamentals of Queueing Theory, Solutions Manual (Paperback \/ softback) 9780470077962","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eFundamentals of Queueing Theory, Solutions Manual\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eDonald Gross (Author), John F. Shortle (Author), James M. Thompson (Author), Carl M. Harris (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780470077962, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 5 September 2008\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e88 pages, Drawings: 1 B\u0026amp;W, 0 Color; Screen captures: 30 B\u0026amp;W, 0 Color; Graphs: 3 B\u0026amp;W, 0 Color\u003cbr\u003e23.2 x 16 x 0.6 cm, 0.132 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"Despite its title, the book is rather advanced, so it is appropriate for practitioners, those in academia, and upper-class students. However, any reader will benefit from the concise introductions to the problems, the detailed descriptions supported with step-by-step formulas, the solutions provided by the manual, and the QtsPlus software.\" (Computing Reviews, 1 December 2011)  \u003cp\u003e \u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\u003cstrong\u003ePresents the basic statistical principles that are necessary to analyze the probabilistic nature of queues\u003c\/strong\u003e \u003c\/p\u003e\n\u003cp\u003eThoroughly revised and expanded to reflect the latest developments in the field, the fourth edition of \u003cem\u003eFundamentals of Queueing Theory illustrates the wide-reaching, fundamental concepts in queueing theory and its applications to diverse areas such as computer science, engineering, business, and operations research. It takes a numerical approach to understanding and making probable estimations relating to queues, with a comprehensive outline of simple and more advanced queueing models. Newly featured topics include retrial queues, approximations for queueing networks, numerical inversion of transforms, and determining the appropriate number of servers to balance quality and cost of service.\u003c\/em\u003e\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eDedication v \u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003eAcknowledgments xiii\u003c\/p\u003e \u003cp\u003eIntroduction 1\u003c\/p\u003e \u003cp\u003eDescription of the Queueing Problem 2\u003c\/p\u003e \u003cp\u003eCharacteristics of Queueing Processes 3\u003c\/p\u003e \u003cp\u003eNotation 7\u003c\/p\u003e \u003cp\u003eMeasuring System Performance 8\u003c\/p\u003e \u003cp\u003eSome General Results 9\u003c\/p\u003e \u003cp\u003eSimple Data Bookkeeping for Queues 12\u003c\/p\u003e \u003cp\u003ePoisson Process and the Exponential Distribution 16\u003c\/p\u003e \u003cp\u003eMarkovian Property of the Exponential Distribution 20\u003c\/p\u003e \u003cp\u003eStochastic Processes and Markov Chains 24\u003c\/p\u003e \u003cp\u003eIntroduction to the QtsPlus Software 40\u003c\/p\u003e \u003cp\u003eProblems 41\u003c\/p\u003e \u003cp\u003eSimple Markovian Queueing Models 49\u003c\/p\u003e \u003cp\u003eBirth-Death Processes 49\u003c\/p\u003e \u003cp\u003eSingle-Server Queues (M\/M\/1) 53\u003c\/p\u003e \u003cp\u003eMultiserver Queues (M\/M\/c) 66\u003c\/p\u003e \u003cp\u003eChoosing the Number of Servers 73\u003c\/p\u003e \u003cp\u003eQueues with Truncation (M\/M\/c\/K) 76\u003c\/p\u003e \u003cp\u003eErlang's Loss Formula (M\/M\/c\/c) 81\u003c\/p\u003e \u003cp\u003eQueues with Unlimited Service (M\/M\/[infinity]) 84\u003c\/p\u003e \u003cp\u003eFinite-Source Queues 85\u003c\/p\u003e \u003cp\u003eState-Dependent Service 91\u003c\/p\u003e \u003cp\u003eQueues with Impatience 95\u003c\/p\u003e \u003cp\u003eTransient Behavior 97\u003c\/p\u003e \u003cp\u003eBusy-Period Analysis 102\u003c\/p\u003e \u003cp\u003eProblems 103\u003c\/p\u003e \u003cp\u003eAdvanced Markovian Queueing Models 117\u003c\/p\u003e \u003cp\u003eBulk Input (M[superscript X]\/M\/1) 117\u003c\/p\u003e \u003cp\u003eBulk Service (M\/M[superscript Y]\/1) 123\u003c\/p\u003e \u003cp\u003eErlangian Models 128\u003c\/p\u003e \u003cp\u003ePriority Queue Disciplines 141\u003c\/p\u003e \u003cp\u003eRetrial Queues 157\u003c\/p\u003e \u003cp\u003eProblems 171\u003c\/p\u003e \u003cp\u003eNetworks, Series, and Cyclic Queues 179\u003c\/p\u003e \u003cp\u003eSeries Queues 181\u003c\/p\u003e \u003cp\u003eOpen Jackson Networks 187\u003c\/p\u003e \u003cp\u003eClosed Jackson Networks 195\u003c\/p\u003e \u003cp\u003eCyclic Queues 209\u003c\/p\u003e \u003cp\u003eExtensions of Jackson Networks 210\u003c\/p\u003e \u003cp\u003eNon-Jackson Networks 212\u003c\/p\u003e \u003cp\u003eProblems 214\u003c\/p\u003e \u003cp\u003eGeneral Arrival or Service Patterns 219\u003c\/p\u003e \u003cp\u003eGeneral Service, Single Server (M\/G\/1) 219\u003c\/p\u003e \u003cp\u003eGeneral Service, Multiserver (M\/G\/c\/[infinity], M\/G\/[infinity]) 254\u003c\/p\u003e \u003cp\u003eGeneral Input (G\/M\/1, G\/M\/c) 259\u003c\/p\u003e \u003cp\u003eProblems 270\u003c\/p\u003e \u003cp\u003eGeneral Models and Theoretical Topics 277\u003c\/p\u003e \u003cp\u003eG\/E[subscript k]\/1, G[superscript k]\/M\/1, and G\/PH[subscript k]\/1 277\u003c\/p\u003e \u003cp\u003eGeneral Input, General Service (G\/G\/1) 284\u003c\/p\u003e \u003cp\u003ePoisson Input, Constant Service, Multiserver (M\/D\/c) 294\u003c\/p\u003e \u003cp\u003eSemi-Markov and Markov Renewal Processes in Queueing  296\u003c\/p\u003e \u003cp\u003eOther Queue Disciplines 301\u003c\/p\u003e \u003cp\u003eDesign and Control of Queues 306\u003c\/p\u003e \u003cp\u003eStatistical Inference in Queueing 317\u003c\/p\u003e \u003cp\u003eProblems 325\u003c\/p\u003e \u003cp\u003eBounds and Approximations 329\u003c\/p\u003e \u003cp\u003eBounds 330\u003c\/p\u003e \u003cp\u003eApproximations 343\u003c\/p\u003e \u003cp\u003eNetwork Approximations 356\u003c\/p\u003e \u003cp\u003eProblems 367\u003c\/p\u003e \u003cp\u003eNumerical Techniques and Simulation 369\u003c\/p\u003e \u003cp\u003eNumerical Techniques 369\u003c\/p\u003e \u003cp\u003eNumerical Inversion of Transforms 385\u003c\/p\u003e \u003cp\u003eDiscrete-Event Stochastic Simulation 398\u003c\/p\u003e \u003cp\u003eProblems 421\u003c\/p\u003e \u003cp\u003eReferences 427\u003c\/p\u003e \u003cp\u003eSymbols and Abbreviations 439\u003c\/p\u003e \u003cp\u003eTables 447\u003c\/p\u003e \u003cp\u003eTransforms and Generating Functions 455\u003c\/p\u003e \u003cp\u003eLaplace Transforms 455\u003c\/p\u003e \u003cp\u003eGenerating Functions 462\u003c\/p\u003e \u003cp\u003eDifferential and Difference Equations 467\u003c\/p\u003e \u003cp\u003eOrdinary Differential Equations 467\u003c\/p\u003e \u003cp\u003eDifference Equations 483\u003c\/p\u003e \u003cp\u003eQtsPlus Software 489\u003c\/p\u003e \u003cp\u003eInstructions for Downloading 493\u003c\/p\u003e \u003cp\u003eIndex 495\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-Interscience","offers":[{"title":"Brand New","offer_id":52507278967064,"sku":"9780470077962","price":34.95,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780470077962.jpg?v=1786443454","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/fundamentals-of-queueing-theory-solutions-manual-paperback-softback-9780470077962","provider":"Freshly Printed Books","version":"1.0","type":"link"}