An Elementary Introduction to Queueing Systems.:
The book aims to highlight the fundamental concepts of queueing systems. It starts with the mathematical modeling of the arrival process (input) of customers to the system. It is shown that the arrival process can be described mathematically either by the number of arrival customers in a fixed time...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore :
World Scientific Publishing Company,
2014.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The book aims to highlight the fundamental concepts of queueing systems. It starts with the mathematical modeling of the arrival process (input) of customers to the system. It is shown that the arrival process can be described mathematically either by the number of arrival customers in a fixed time interval, or by the interarrival time between two consecutive arrivals. In the analysis of queueing systems, the book emphasizes the importance of exponential service time of customers. With this assumption of exponential service time, the analysis can be simplified by using the birth and death proc. |
| Beschreibung: | 1 online resource (116 pages) |
| Bibliographie: | Includes bibliographical references (pages 99-100) and index. |
| ISBN: | 9789814612012 9814612014 |
Internformat
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| 100 | 1 | |a Chan, Wah Chun. | |
| 245 | 1 | 3 | |a An Elementary Introduction to Queueing Systems. |
| 260 | |a Singapore : |b World Scientific Publishing Company, |c 2014. | ||
| 300 | |a 1 online resource (116 pages) | ||
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| 505 | 0 | |a Preface; Chapter 1; Modeling of Queueing Systems; 1.1 Mathematical Modeling; 1.2 The Poisson Input Process; 1.3 Superposition of Independent Poisson Processes; 1.4 Decomposition of a Poisson Process; 1.5 The Exponential Interarrival Time Distribution; 1.6 The Markov Property or Memoryless Property; 1.7 Relationship Between the Poisson Distribution and the Exponential Distribution; 1.8 The Service Time Distribution; 1.9 The Residual Service Time Distribution; 1.10 The Birth and Death Process; 1.11 The Outside Observer's Distribution and the Arriving Customer's Distribution; Review. | |
| 505 | 8 | |a Chapter 2Queueing Systems with Losses; 2.1 Introduction; 2.2 The Erlang Loss System; 2.3 The Erlang Loss Formula; Review; Chapter 3; Queueing Systems Allowing Waiting; 3.1 Introduction; 3.2 The Erlang Delay System; 3.3 The Distribution Function of the Waiting Time; 3.4 Little's Formula; Review; Chapter 4; The Engset Loss and Delay Systems; 4.1 Introduction; 4.2 The Engset Loss System; 4.3 The Arriving Customer's Distribution for the Engset Loss System; 4.4 The Offered Load and Carried Load in the Engset Loss System; 4.5 The Engset Delay System. | |
| 505 | 8 | |a 4.6 The Waiting Time Distribution Function for the Engset Delay System4.7 The Mean Waiting Time in the Engset Delay System; 4.8 The Offered Load and Carried Load in the Engset Delay System; Review; Chapter 5; Queueing Systems with a Single Server; 5.1 Introduction; 5.2 The M/M/1 Queue; 5.3 The M/G/1 Queue and the Pollaczek-Khinchin Formula for the Mean Waiting Time; 5.4 The M/G/1 Queue with Vacations; 5.5 The M/G/1 Queue with Priority Discipline; (A) The HOL Non-Preemptive Priority System; (B) The Preemptive Priority System; 5.6 The GI/M/1 Queue. | |
| 505 | 8 | |a (A) The Probability of Waiting and the Mean Waiting Time(B) The Waiting Time Distribution Function; Review; Bibliography; Index. | |
| 520 | |a The book aims to highlight the fundamental concepts of queueing systems. It starts with the mathematical modeling of the arrival process (input) of customers to the system. It is shown that the arrival process can be described mathematically either by the number of arrival customers in a fixed time interval, or by the interarrival time between two consecutive arrivals. In the analysis of queueing systems, the book emphasizes the importance of exponential service time of customers. With this assumption of exponential service time, the analysis can be simplified by using the birth and death proc. | ||
| 504 | |a Includes bibliographical references (pages 99-100) and index. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Queuing theory |x Mathematical models. | |
| 650 | 6 | |a Théorie des files d'attente |x Modèles mathématiques. | |
| 650 | 7 | |a MATHEMATICS |x Applied. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Probability & Statistics |x General. |2 bisacsh | |
| 650 | 7 | |a Queuing theory |x Mathematical models |2 fast | |
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| 776 | 0 | 8 | |i Print version: |a Chan, Wah Chun. |t An Elementary Introduction to Queueing Systems. |d Singapore : World Scientific Publishing Company, ©2014 |z 9789814612005 |
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| author | Chan, Wah Chun |
| author_facet | Chan, Wah Chun |
| author_role | |
| author_sort | Chan, Wah Chun |
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| callnumber-first | Q - Science |
| callnumber-label | QA274 |
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| contents | Preface; Chapter 1; Modeling of Queueing Systems; 1.1 Mathematical Modeling; 1.2 The Poisson Input Process; 1.3 Superposition of Independent Poisson Processes; 1.4 Decomposition of a Poisson Process; 1.5 The Exponential Interarrival Time Distribution; 1.6 The Markov Property or Memoryless Property; 1.7 Relationship Between the Poisson Distribution and the Exponential Distribution; 1.8 The Service Time Distribution; 1.9 The Residual Service Time Distribution; 1.10 The Birth and Death Process; 1.11 The Outside Observer's Distribution and the Arriving Customer's Distribution; Review. Chapter 2Queueing Systems with Losses; 2.1 Introduction; 2.2 The Erlang Loss System; 2.3 The Erlang Loss Formula; Review; Chapter 3; Queueing Systems Allowing Waiting; 3.1 Introduction; 3.2 The Erlang Delay System; 3.3 The Distribution Function of the Waiting Time; 3.4 Little's Formula; Review; Chapter 4; The Engset Loss and Delay Systems; 4.1 Introduction; 4.2 The Engset Loss System; 4.3 The Arriving Customer's Distribution for the Engset Loss System; 4.4 The Offered Load and Carried Load in the Engset Loss System; 4.5 The Engset Delay System. 4.6 The Waiting Time Distribution Function for the Engset Delay System4.7 The Mean Waiting Time in the Engset Delay System; 4.8 The Offered Load and Carried Load in the Engset Delay System; Review; Chapter 5; Queueing Systems with a Single Server; 5.1 Introduction; 5.2 The M/M/1 Queue; 5.3 The M/G/1 Queue and the Pollaczek-Khinchin Formula for the Mean Waiting Time; 5.4 The M/G/1 Queue with Vacations; 5.5 The M/G/1 Queue with Priority Discipline; (A) The HOL Non-Preemptive Priority System; (B) The Preemptive Priority System; 5.6 The GI/M/1 Queue. (A) The Probability of Waiting and the Mean Waiting Time(B) The Waiting Time Distribution Function; Review; Bibliography; Index. |
| ctrlnum | (OCoLC)883570514 |
| dewey-full | 519.8 519.82 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.8 519.82 |
| dewey-search | 519.8 519.82 |
| dewey-sort | 3519.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn883570514 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:26:04Z |
| institution | BVB |
| isbn | 9789814612012 9814612014 |
| language | English |
| oclc_num | 883570514 |
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| spelling | Chan, Wah Chun. An Elementary Introduction to Queueing Systems. Singapore : World Scientific Publishing Company, 2014. 1 online resource (116 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Print version record. Preface; Chapter 1; Modeling of Queueing Systems; 1.1 Mathematical Modeling; 1.2 The Poisson Input Process; 1.3 Superposition of Independent Poisson Processes; 1.4 Decomposition of a Poisson Process; 1.5 The Exponential Interarrival Time Distribution; 1.6 The Markov Property or Memoryless Property; 1.7 Relationship Between the Poisson Distribution and the Exponential Distribution; 1.8 The Service Time Distribution; 1.9 The Residual Service Time Distribution; 1.10 The Birth and Death Process; 1.11 The Outside Observer's Distribution and the Arriving Customer's Distribution; Review. Chapter 2Queueing Systems with Losses; 2.1 Introduction; 2.2 The Erlang Loss System; 2.3 The Erlang Loss Formula; Review; Chapter 3; Queueing Systems Allowing Waiting; 3.1 Introduction; 3.2 The Erlang Delay System; 3.3 The Distribution Function of the Waiting Time; 3.4 Little's Formula; Review; Chapter 4; The Engset Loss and Delay Systems; 4.1 Introduction; 4.2 The Engset Loss System; 4.3 The Arriving Customer's Distribution for the Engset Loss System; 4.4 The Offered Load and Carried Load in the Engset Loss System; 4.5 The Engset Delay System. 4.6 The Waiting Time Distribution Function for the Engset Delay System4.7 The Mean Waiting Time in the Engset Delay System; 4.8 The Offered Load and Carried Load in the Engset Delay System; Review; Chapter 5; Queueing Systems with a Single Server; 5.1 Introduction; 5.2 The M/M/1 Queue; 5.3 The M/G/1 Queue and the Pollaczek-Khinchin Formula for the Mean Waiting Time; 5.4 The M/G/1 Queue with Vacations; 5.5 The M/G/1 Queue with Priority Discipline; (A) The HOL Non-Preemptive Priority System; (B) The Preemptive Priority System; 5.6 The GI/M/1 Queue. (A) The Probability of Waiting and the Mean Waiting Time(B) The Waiting Time Distribution Function; Review; Bibliography; Index. The book aims to highlight the fundamental concepts of queueing systems. It starts with the mathematical modeling of the arrival process (input) of customers to the system. It is shown that the arrival process can be described mathematically either by the number of arrival customers in a fixed time interval, or by the interarrival time between two consecutive arrivals. In the analysis of queueing systems, the book emphasizes the importance of exponential service time of customers. With this assumption of exponential service time, the analysis can be simplified by using the birth and death proc. Includes bibliographical references (pages 99-100) and index. English. Queuing theory Mathematical models. Théorie des files d'attente Modèles mathématiques. MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Queuing theory Mathematical models fast has work: An elementary introduction to queueing systems (Text) https://id.oclc.org/worldcat/entity/E39PCFBj4HdcMJ9ggWXfrxF8BX https://id.oclc.org/worldcat/ontology/hasWork Print version: Chan, Wah Chun. An Elementary Introduction to Queueing Systems. Singapore : World Scientific Publishing Company, ©2014 9789814612005 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=810382 Volltext |
| spellingShingle | Chan, Wah Chun An Elementary Introduction to Queueing Systems. Preface; Chapter 1; Modeling of Queueing Systems; 1.1 Mathematical Modeling; 1.2 The Poisson Input Process; 1.3 Superposition of Independent Poisson Processes; 1.4 Decomposition of a Poisson Process; 1.5 The Exponential Interarrival Time Distribution; 1.6 The Markov Property or Memoryless Property; 1.7 Relationship Between the Poisson Distribution and the Exponential Distribution; 1.8 The Service Time Distribution; 1.9 The Residual Service Time Distribution; 1.10 The Birth and Death Process; 1.11 The Outside Observer's Distribution and the Arriving Customer's Distribution; Review. Chapter 2Queueing Systems with Losses; 2.1 Introduction; 2.2 The Erlang Loss System; 2.3 The Erlang Loss Formula; Review; Chapter 3; Queueing Systems Allowing Waiting; 3.1 Introduction; 3.2 The Erlang Delay System; 3.3 The Distribution Function of the Waiting Time; 3.4 Little's Formula; Review; Chapter 4; The Engset Loss and Delay Systems; 4.1 Introduction; 4.2 The Engset Loss System; 4.3 The Arriving Customer's Distribution for the Engset Loss System; 4.4 The Offered Load and Carried Load in the Engset Loss System; 4.5 The Engset Delay System. 4.6 The Waiting Time Distribution Function for the Engset Delay System4.7 The Mean Waiting Time in the Engset Delay System; 4.8 The Offered Load and Carried Load in the Engset Delay System; Review; Chapter 5; Queueing Systems with a Single Server; 5.1 Introduction; 5.2 The M/M/1 Queue; 5.3 The M/G/1 Queue and the Pollaczek-Khinchin Formula for the Mean Waiting Time; 5.4 The M/G/1 Queue with Vacations; 5.5 The M/G/1 Queue with Priority Discipline; (A) The HOL Non-Preemptive Priority System; (B) The Preemptive Priority System; 5.6 The GI/M/1 Queue. (A) The Probability of Waiting and the Mean Waiting Time(B) The Waiting Time Distribution Function; Review; Bibliography; Index. Queuing theory Mathematical models. Théorie des files d'attente Modèles mathématiques. MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Queuing theory Mathematical models fast |
| title | An Elementary Introduction to Queueing Systems. |
| title_auth | An Elementary Introduction to Queueing Systems. |
| title_exact_search | An Elementary Introduction to Queueing Systems. |
| title_full | An Elementary Introduction to Queueing Systems. |
| title_fullStr | An Elementary Introduction to Queueing Systems. |
| title_full_unstemmed | An Elementary Introduction to Queueing Systems. |
| title_short | An Elementary Introduction to Queueing Systems. |
| title_sort | elementary introduction to queueing systems |
| topic | Queuing theory Mathematical models. Théorie des files d'attente Modèles mathématiques. MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Queuing theory Mathematical models fast |
| topic_facet | Queuing theory Mathematical models. Théorie des files d'attente Modèles mathématiques. MATHEMATICS Applied. MATHEMATICS Probability & Statistics General. Queuing theory Mathematical models |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=810382 |
| work_keys_str_mv | AT chanwahchun anelementaryintroductiontoqueueingsystems AT chanwahchun elementaryintroductiontoqueueingsystems |