Introduction to matrix-analytic methods in queues 2 : analytical and simulation approach - queues and simulation
by
 
Chakravarthy, Srinivas R., author.

Title
Introduction to matrix-analytic methods in queues 2 : analytical and simulation approach - queues and simulation

Author
Chakravarthy, Srinivas R., author.

ISBN
9781394174201
 
9781394174188
 
9781394174195

Physical Description
1 online resource (442 pages)

Contents
Cover -- Title Page -- Copyright Page -- Contents -- List of Notations -- Preface -- Chapter 1. Single-Server Queues Embedded at Departure Epochs -- 1.1. BMAP/G/1 queue -- 1.2. MAP/G/1 queue -- 1.3. PH/G/1 queue -- 1.4. M/G/1 queue -- 1.5. PH/M/1 queue -- 1.6. M/M/1 queue -- 1.7. Exercises -- Chapter 2. Single-Server Queues Embedded at Arrival Epochs -- 2.1. GI/PH/1 queue -- 2.2. GI/M/1 queue -- 2.3. M/PH/1 queue -- 2.4. M/M/1 queue -- 2.5. Exercises -- Chapter 3. Single-Server Queues Based on Arbitrary Epochs -- 3.1. BMAP/PH/1 queue -- 3.2. MAP/PH/1 queueing model -- 3.3. PH/PH/1 queue
 
3.4. PH/M/1 queue -- 3.5. M/PH/1 queue -- 3.6. M/M/1 queue -- 3.7. Exercises -- Chapter 4. Busy Period in Queues -- 4.1. Busy period in M/G/1-type queues (scalar case) -- 4.2. Busy period in M/G/1-type queues (matrix case) -- 4.3. Busy period in GI/M/1-type queues (scalar case) -- 4.4. Busy period in GI/PH/1-type queues -- 4.5. BMAP/PH/1 queue -- 4.6. Busy period in QBD-type queues -- 4.7. When the fundamental period is not the busy period -- 4.8. GI/G/1 queues -- 4.9. Exercises -- Chapter 5. Multi-Server Queues -- 5.1. BMAP/PH/c queue -- 5.2. MAP/PH/3 queue -- 5.3. BMAP/M/c queue
 
5.3.1. MAP/M/c queue -- 5.3.2. M/M/c queue -- 5.4. GI/PH/c queue -- 5.5. Exercises -- Chapter 6. Finite-Capacity Queues -- 6.1. Finite-capacity queues with single server -- 6.1.1. BMAP/PH/1/K queue -- 6.1.2. MAP/PH/1/K queue -- 6.1.3. PH/M/1/K queue -- 6.1.4. M/PH/1/K queue -- 6.1.5. M/M/1/K queue -- 6.2. Finite-capacity queues with multiple servers -- 6.2.1. BMAP/M/c/K queue -- 6.2.2. MAP/M/c/K queue -- 6.2.3. PH/M/c/K queue -- 6.2.4. M/M/c/K queue -- 6.3. Exercises -- Chapter 7. Simulation -- 7.1. Introduction to ARENA -- 7.2. Model building using ARENA -- 7.3. GI/G/c queues
 
7.3.1. ARENA modules for GI/G/c queues -- 7.3.2. Validation of GI/G/1 queues -- 7.3.3. Simulated examples for GI/G/1 queues -- 7.3.4. Validation of GI/G/c queues -- 7.3.5. Simulated examples of GI/G/c queues -- 7.4. BMAP/G/c queues -- 7.4.1. ARENA modules for BMAP/G/c queues -- 7.4.2. Validation of BMAP/G/1 queues -- 7.4.3. Simulated examples for BMAP/G/1 queues -- 7.4.4. Validation of BMAP/M/c queues -- 7.4.5. Simulated examples for BMAP/G/c queues -- 7.5. Exercises -- References -- Index -- Summary of Volume 1 -- EULA

Abstract
Matrix-analytic methods (MAM) were introduced by Professor Marcel Neuts and have been applied to a variety of stochastic models since. In order to provide a clear and deep understanding of MAM while showing their power, this book presents MAM concepts and explains the results using a number of worked-out examples. This book's approach will inform and kindle the interest of researchers attracted to this fertile field. To allow readers to practice and gain experience in the algorithmic and computational procedures of MAM, Introduction to Matrix-Analytic Methods in Queues 2 provides a number of computational exercises. It also incorporates simulation as another tool for studying complex stochastic models, especially when the state space of the underlying stochastic models under analytic study grows exponentially. This book's detailed approach will make it more accessible for readers interested in learning about MAM in stochastic models.

Local Note
John Wiley and Sons

Subject Term
Matrix analytic methods.
 
Queuing theory.
 
Queuing theory -- Mathematical models.
 
Théorie des files d'attente -- Modèles mathématiques.
 
Méthodes d'analyse matricielle.
 
Théorie des files d'attente.
 
MATHEMATICS.
 
Statistics.
 
EDUCATION.
 
Queuing theory
 
Queuing theory -- Mathematical models

Genre
Electronic books.

Electronic Access
https://onlinelibrary.wiley.com/doi/book/10.1002/9781394174201


LibraryMaterial TypeItem BarcodeShelf Number[[missing key: search.ChildField.HOLDING]]Status
Online LibraryE-Book597973-1001T57.9 .C435 2022Wiley E-Kitap Koleksiyonu