Mathematical theory of connecting networks and telephone traffic /
Mathematical theory of connecting networks and telephone traffic.
Clasificación: | Libro Electrónico |
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Autor principal: | |
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 Texto completo Texto completo |
MARC
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003 | OCoLC | ||
005 | 20231117015222.0 | ||
006 | m o d | ||
007 | cr cnu---unuuu | ||
008 | 090320s1965 nyua obs 001 0 eng d | ||
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050 | 4 | |a TK5101 |b .B46 1965eb | |
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082 | 0 | 4 | |a 621.385/1 |2 22 |
100 | 1 | |a Bene�s, V. E. |q (V�aclav E.) | |
245 | 1 | 0 | |a Mathematical theory of connecting networks and telephone traffic / |c V.E. Bene�s. |
260 | |a New York : |b Academic Press, |c 1965. | ||
300 | |a 1 online resource (xiv, 319 pages) : |b illustrations | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
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 | ||
538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
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. | |
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 |0 (CaQQLa)201-0036942 |x Statistiques. |0 (CaQQLa)201-0378408 | |
650 | 6 | |a T�el�ephone |0 (CaQQLa)201-0019846 |x Lignes. | |
650 | 6 | |a R�eseaux �electriques (Circuits) |0 (CaQQLa)201-0000851 | |
650 | 6 | |a T�el�ephone automatique. |0 (CaQQLa)201-0017912 | |
650 | 6 | |a Th�eorie des files d'attente. |0 (CaQQLa)201-0078341 | |
650 | 6 | |a Information |0 (CaQQLa)201-0189052 |v Statistiques. |0 (CaQQLa)201-0378300 | |
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 | |
776 | 0 | 8 | |i Print version : |a Bene�s, V.E. (V�aclav E.). |t Mathematical theory of connecting networks and telephone traffic. |d New York : Academic Press, 1965 |z 9780120875504 |w (DLC) 65021156 |w (OCoLC)1650896 |
830 | 0 | |a Mathematics in science and engineering ; |v v. 17. | |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780120875504 |z Texto completo |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=17 |z Texto completo |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/17 |z Texto completo |