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Mathematical theory of connecting networks and telephone traffic /

Mathematical theory of connecting networks and telephone traffic.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Beneš, V. E. (Václav E.)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, 1965.
Colección:Mathematics in science and engineering ; v. 17.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Beneš, V. E.  |q (Václav E.) 
245 1 0 |a Mathematical theory of connecting networks and telephone traffic /  |c V.E. Beneš. 
260 |a New York :  |b Academic Press,  |c 1965. 
300 |a 1 online resource (xiv, 319 pages) :  |b illustrations 
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490 1 |a Mathematics in science and engineering ;  |v v. 17 
504 |a Includes bibliographical references and indexes. 
588 0 |a Print version record. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
520 |a Mathematical theory of connecting networks and telephone traffic. 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2010.  |5 MiAaHDL 
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583 1 |a digitized  |c 2010  |h HathiTrust Digital Library  |l committed to preserve  |2 pda  |5 MiAaHDL 
505 0 |a Front Cover; Mathematical Theory of Connecting Networks and Telephone Traffic; Copyright Page; Contents; Preface; Chapter 1. Heuristic Remarks and Mathematical Problems Regarding the Theory of Connecting Systems; 1. Introduction; 2. Summary of Chapter 1; 3. Historical Sketch; 4. Critique; 5. General Properties of Connecting Systems; 6. Performance of Switching Systems; 7. Desiderata; 8. Mathematical Models; 9. Fundamental Difficulties and Questions; 10. The Merits of Microscopic States; 11. From Details to Structure; 12. The Relevance of Combinatorial and Structural Properties: Examples. 
505 8 |a 13. Combinatorial, Probabilistic, and Variational Problems14. A Packing Problem; 15. A Problem of Traffic Circulation in a Telephone Exchange; 16. An Optimal Routing Problem; References; Chapter 2. Algebraic and Topological Properties of Connecting Networks; 1. Introduction; 2. Summary of Chapter 2; 3. The Structure and Condition of a Connecting Network; 4. Graphical Depiction of Network Structure and Condition; 5. Network States; 6. The State Diagram; 7. Some Numerical Functions; 8. Assignments; 9. Three Topologies; 10. Some Definitions and Problems; 11. Rearrangeable Networks. 
505 8 |a 12. Networks Nonblocking in the Wide Sense13. Networks Nonblocking in the Strict Sense; 14. Glossary for Chapter 2; References; Chapter 3. Rearrangeable Networks; 1. Introduction; 2. Summary of Chapter 3; 3. The Slepian-Duguid Theorem; 4. The Number of Calls That Must Be Moved: Paull's Theorem; 5. Some Formal Preliminaries; 6. The Number of Calls That Must Be Moved: New Results; 7. Summary of Sections 8-15; 8. Stages and Link Patterns; 9. Group Theory Formulation; 10. The Generation of Complexes by Stages; 11. An Example; 12. Some Definitions; 13. Preliminary Results. 
505 8 |a 14. Generating the Permutation Group15. Construction of a Class of Rearrangeable Networks; 16. Summary of Sections 17-21; 17. The Combinatorial Power of a Network; 18. Preliminaries; 19. Construction of the Basic Partial Ordering; 20. Cost Is Nearly Isotone on T(Cn); 21. Principal Results of Optimization; References; Chapter 4. Strictly Nonblocking Networks; 1. Introduction; 2. Square Array; 3. Three-Stage Strictly Nonblocking Connecting Network; 4. Principle Involved; 5. Five-Stage Network; 6. Seven-Stage Network; 7. General Multistage Switching Network. 
505 8 |a 8. Most Favorable Size of Input and Output Switches in the Three-Stage Network9. Most Favorable Switch Sizes in the Five-Stage Network; 10. Search for the Smallest N for a Given n for the Three-Stage Network; 11. Cases in the Three-Stage Network Where N = r(mod n); 12. Search for the Minimum Number of Crosspoints between N = 23 and N = 160; 13. Search for the Minimum Number of Crosspoints for N = 240; 14. Rectangular Array; 15. N Inputs and M Outputs in the Three-Stage Array; 16. Triangular Network; 17. One-way Incoming, One-way Outgoing, and Two-way Trunks. 
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650 0 |a Telephone, Automatic. 
650 0 |a Queuing theory. 
650 0 |a Communication  |v Statistics. 
650 0 |a Electric networks. 
650 6 |a Communication  |x Statistiques. 
650 6 |a Téléphone  |x Lignes. 
650 6 |a Réseaux électriques (Circuits) 
650 6 |a Téléphone automatique. 
650 6 |a Théorie des files d'attente. 
650 7 |a TECHNOLOGY & ENGINEERING  |x Telecommunications.  |2 bisacsh 
650 7 |a Electric networks.  |2 fast  |0 (OCoLC)fst00905339 
650 7 |a Communication.  |2 fast  |0 (OCoLC)fst00869952 
650 7 |a Queuing theory.  |2 fast  |0 (OCoLC)fst01085713 
650 7 |a Telephone, Automatic.  |2 fast  |0 (OCoLC)fst01146475 
655 7 |a Statistics.  |2 fast  |0 (OCoLC)fst01423727 
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830 0 |a Mathematics in science and engineering ;  |v v. 17. 
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