A Course On Queueing Models - Jain Joti Lal; Mohanty Sri Gopal; Böhm Walter | Libro Chapman And Hall/Crc 07/2006 - HOEPLI.it


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jain joti lal; mohanty sri gopal; böhm walter - a course on queueing models

A Course on Queueing Models

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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 07/2006
Edizione: 1° edizione





Note Editore

The application of engineering principles in divergent fields such as management science and communications as well as the advancement of several approaches in theory and computation have led to growing interest in queueing models, creating the need for a comprehensive text. Emphasizing Markovian structures and the techniques that occur in different models, A Course on Queueing Models discusses recent developments in the field, different methodological tools - some of which are not available elsewhere - and computational techniques.While most books essentially address the classical methods of queueing theory, this text covers a broad range of methods both in theory and in computation. The first part of the textbook exposes you to many fundamental concepts at an introductory level and provides tools for practitioners. It discusses the basics in queueing theory for Markovian and regenerative non-Markovian models, statistical inference, simulation and some computational procedures, network and discrete-time queues, algebraic and combinatorial methods, and optimization. The second part delves deeper into the topics examined in the first part by presenting more advanced methods. This part also includes general queues, duality in queues, and recent advancements on computational methods and discrete-time queues. Each chapter contains a discussion section that summarizes material and highlights special features. Incorporating different queueing models, A Course on Queueing Models achieves an ideal balance between theory and practice, making it compatible for advanced undergraduate and graduate students, applied statisticians, and engineers.




Sommario

QUEUES: BASIC CONCEPTSIntroductionQueues: Features and Characteristics Graphical Methods Modelling Scope and Organization MARKOVIAN QUEUESIntroduction A Simple Model: Steady-State Behaviour Birth-Death Models: Steady-State Behaviour Erlangian Models: Steady-State BehaviourTransient BehaviourWaiting Time and Little's Formula Busy Periods and Idle Periods 3Networks of Queues - I OptimizationDiscussion REGENERATIVE NON-MARKOVIAN QUEUES - IIntroduction Markovian Input Models Markovian Service-Time ModelsBulk QueuesFunctional Relations: A Heuristic Approach Busy PeriodsDiscrete-Time Queues Discussion COMPUTATIONAL METHODS - IIntroduction Root Finding MethodsThe State Reduction MethodTransient Behaviour: Numerical ApproachesDiscussionSTATISTICAL INFERENCE AND SIMULATION IntroductionStatistical Inference Solving Queueing Problems by SimulationA Practical ApplicationDiscussionREGENERATIVE NON-MARKOVIAN QUEUES - II IntroductionNon-Markovian Queues: Transient SolutionCombinatorial MethodsFunctional RelationsDiscussionGENERAL QUEUES IntroductionWaiting Time and Idle Time: An Analytic Method Bounds for the Average Waiting TimeA Heavy Traffic Approximation Diffusion Approximation Waiting Time and Idle Time: A Probabilistic Method Duality DiscussionCOMPUTATIONAL METHODS - II IntroductionThe Matrix-Geometric SolutionThe Block Elimination MethodThe Fourier Series Method for Inverting TransformsDiscussionDISCRETE-TIME QUEUES: TRANSIENT SOLUTIONSIntroduction Combinatorial Methods: Lattice Path ApproachRecurrence RelationsAlgebraic Methods DiscussionMISCELLANEOUS TOPICSIntroduction Priority QueuesQueues with Infinite Servers Design and Control of QueuesNetworks of Queues IIDiscussionAPPENDICESINDEXEach chapter includes exercises and references.




Trama

Emphasizing Markovian structures and the techniques that occur in different models, A Course on Queueing Models discusses recent developments in the field, different methodological tools - some of which are not available elsewhere - and computational techniques. The book covers fundamentals on Markovian and regenerative non-Markovian models as well as computational methods, statistical inference, and simulation. It also presents network queues, discrete time queues, optimization, combinatorial treatments in transient analysis, general queues, duality in queues, and new computational methods. Each self-contained chapter features a discussion section that summarizes material and highlights special features.







Altre Informazioni

ISBN:

9781584886464

Condizione: Nuovo
Collana: Statistics: A Series of Textbooks and Monographs
Dimensioni: 9 x 6 in Ø 1.70 lb
Formato: Copertina rigida
Illustration Notes:35 b/w images, 8 tables and 1000 equations
Pagine Arabe: 461






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