Mathematical methods in the theory of queueing:
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | , |
| Format: | Book |
| Language: | English Russian |
| Published: |
London
Griffin
1969
|
| Edition: | Second edition |
| Series: | Griffin's statistical monographs and courses
7 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 120 Seiten |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV004143037 | ||
| 003 | DE-604 | ||
| 005 | 20220627 | ||
| 007 | t | ||
| 008 | 901114s1969 |||| 00||| engod | ||
| 035 | |a (OCoLC)253656283 | ||
| 035 | |a (DE-599)BVBBV004143037 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 1 | |a eng |h rus | |
| 049 | |a DE-91G |a DE-355 |a DE-29T |a DE-83 |a DE-188 |a DE-19 | ||
| 084 | |a SK 820 |0 (DE-625)143258: |2 rvk | ||
| 084 | |a 60K25 |2 msc | ||
| 100 | 1 | |a Chinčin, Aleksandr Ja. |d 1894-1959 |e Verfasser |0 (DE-588)124080634 |4 aut | |
| 240 | 1 | 0 | |a Matematičeskie metody teorii massovogo obsluživanija |
| 245 | 1 | 0 | |a Mathematical methods in the theory of queueing |c A.Y. Khintchine ; translated by. D.M. Andrews and M.H. Quenouille ; additional notes by Eric Wolman |
| 250 | |a Second edition | ||
| 264 | 1 | |a London |b Griffin |c 1969 | |
| 300 | |a 120 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Griffin's statistical monographs and courses |v 7 | |
| 650 | 0 | 7 | |a Warteschlangentheorie |0 (DE-588)4255044-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Warteschlangentheorie |0 (DE-588)4255044-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Andrews, D.M. |4 trl | |
| 700 | 1 | |a Quenouille, M.H. |4 trl | |
| 700 | 1 | |a Wolman, Eric |4 oth | |
| 830 | 0 | |a Griffin's statistical monographs and courses |v 7 |w (DE-604)BV000725110 |9 7 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002584922&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-www | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002584922 | ||
Record in the Search Index
| _version_ | 1804118357717286912 |
|---|---|
| adam_text | CONTENTS
PREFACE
PART I
THE INCOMING STREAM OF CALLS
Chapter Page
1 THEORY OF THE SIMPLE STREAM
1 Definition and statement of the problem ... ... ... ... 11
2 Elementary solution ... ... ... ... ... ... ... 12
3 Method of differential equations ... ... ... ... ... IS
4 Intensity of a simple stream ... ... ... ... ... ... 17
5 A stream with a variable parameter ... ... ... ... ... 18
2 GENERAL PROPERTIES OF STATIONARY STREAMS
6 The stream of demands as a random process ... ... ... ... 23
7 Fundamental properties of stationary streams ... ... ... ... 26
8 General form of a stationary stream without after effects ... ... 30
3 PALM S FUNCTIONS
9 Definition and proof of existence ... ... ... ... ... 37
10 Palm s formulae 39
11 The intensity of a stationary stream — Korolyuk s theorem ... ... 41
4 STREAMS WITH LIMITED AFTER EFFECTS
12 Another method of describing a stream of calls ... ... ... 43
13 Streams with limited after effects ... ... ... ... ... 44
5 LIMIT THEOREM
14 Statement of the problem — Palm s theorem ... ... ... ... 49
15 Limiting behaviour of functions ... ... ... ... ... 51
16 Limit theorem ... ... ... ... ... ... ... ... 55
PART II
SYSTEMS WITH LOSSES
17 Introductory remarks ... ... ... ... ... ... ... 57
(
6 ERLANG S PROBLEM FOR A FINITE COLLECTION
18 Statement of the problem 60
19 Markoff s theorem 63
20 Erlang s formulae and equations ... ... ... ... ... 65
21 The ergodic theorem 69
10
CONTENTS
Chapter Pag
7 ERLANG S PROBLEM FOR AN INFINITE COLLECTION
22 Equations for the generating function 73
23 Solution of the problem 75
24 Stream with a variable parameter ... ... ... ... ¦¦• 77
25 The infinite collection with an arbitrary distribution function for
the lengths of conversation 79
8 PALM S PROBLEM ^
26 Statement of the problem 82
27 Elementary calculations ... ... ... ... ... ... ... 84
28 Palm s fundamental theorem ... ... ... ... ... ... 87
29 Deduction from the basic system of equations ... ... ... 88
30 Laplace s transformation 90
31 Determination of functions ? (*) ... ¦¦¦ ••• ... ••• 91
32 Expansion of functions y iii) in partial fractions ... ... ... 93
33 Conclusion 94
PART III
SYSTEMS ALLOWING DELAY
9 THE CASE OF AN EXPONENTIAL DISTRIBUTION FOR
THE LENGTH OF CONVERSATIONS
34 Probabilities of different states 96
35 The distribution function of the waiting time... ... ... ... 99
10 SINGLE LINE SYSTEMS WITH A FIXED LENGTH OF
CONVERSATION
36 Difference differential equations for the problem ... ... ... 102
37 Distribution function of the waiting time ... ¦¦• ... ••• 104
11 GENERAL THEORY OF SINGLE LINE SYSTEMS
38 Statement of the problem and definitions 106
39 Subsidiary hypotheses 107
40 The characteristic function of the waiting time 114
SECTION NOTES AND REFERENCES 119
BIBLIOGRAPHY 120
ADDITIONAL NOTES 121
|
| any_adam_object | 1 |
| author | Chinčin, Aleksandr Ja. 1894-1959 |
| author2 | Andrews, D.M Quenouille, M.H |
| author2_role | trl trl |
| author2_variant | d a da m q mq |
| author_GND | (DE-588)124080634 |
| author_facet | Chinčin, Aleksandr Ja. 1894-1959 Andrews, D.M Quenouille, M.H |
| author_role | aut |
| author_sort | Chinčin, Aleksandr Ja. 1894-1959 |
| author_variant | a j c aj ajc |
| building | Verbundindex |
| bvnumber | BV004143037 |
| classification_rvk | SK 820 |
| ctrlnum | (OCoLC)253656283 (DE-599)BVBBV004143037 |
| discipline | Mathematik |
| edition | Second edition |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01672nam a2200409 cb4500</leader><controlfield tag="001">BV004143037</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220627 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">901114s1969 |||| 00||| engod</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)253656283</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004143037</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="1" ind2=" "><subfield code="a">eng</subfield><subfield code="h">rus</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 820</subfield><subfield code="0">(DE-625)143258:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">60K25</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Chinčin, Aleksandr Ja.</subfield><subfield code="d">1894-1959</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)124080634</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Matematičeskie metody teorii massovogo obsluživanija</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Mathematical methods in the theory of queueing</subfield><subfield code="c">A.Y. Khintchine ; translated by. D.M. Andrews and M.H. Quenouille ; additional notes by Eric Wolman</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">London</subfield><subfield code="b">Griffin</subfield><subfield code="c">1969</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">120 Seiten</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Griffin's statistical monographs and courses</subfield><subfield code="v">7</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Warteschlangentheorie</subfield><subfield code="0">(DE-588)4255044-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Warteschlangentheorie</subfield><subfield code="0">(DE-588)4255044-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Andrews, D.M.</subfield><subfield code="4">trl</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Quenouille, M.H.</subfield><subfield code="4">trl</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wolman, Eric</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Griffin's statistical monographs and courses</subfield><subfield code="v">7</subfield><subfield code="w">(DE-604)BV000725110</subfield><subfield code="9">7</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002584922&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-www</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002584922</subfield></datafield></record></collection> |
| id | DE-604.BV004143037 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:09:01Z |
| institution | BVB |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002584922 |
| oclc_num | 253656283 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-29T DE-83 DE-188 DE-19 DE-BY-UBM |
| owner_facet | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-29T DE-83 DE-188 DE-19 DE-BY-UBM |
| physical | 120 Seiten |
| psigel | TUB-www |
| publishDate | 1969 |
| publishDateSearch | 1969 |
| publishDateSort | 1969 |
| publisher | Griffin |
| record_format | marc |
| series | Griffin's statistical monographs and courses |
| series2 | Griffin's statistical monographs and courses |
| spelling | Chinčin, Aleksandr Ja. 1894-1959 Verfasser (DE-588)124080634 aut Matematičeskie metody teorii massovogo obsluživanija Mathematical methods in the theory of queueing A.Y. Khintchine ; translated by. D.M. Andrews and M.H. Quenouille ; additional notes by Eric Wolman Second edition London Griffin 1969 120 Seiten txt rdacontent n rdamedia nc rdacarrier Griffin's statistical monographs and courses 7 Warteschlangentheorie (DE-588)4255044-0 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 s DE-604 Andrews, D.M. trl Quenouille, M.H. trl Wolman, Eric oth Griffin's statistical monographs and courses 7 (DE-604)BV000725110 7 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002584922&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chinčin, Aleksandr Ja. 1894-1959 Mathematical methods in the theory of queueing Griffin's statistical monographs and courses Warteschlangentheorie (DE-588)4255044-0 gnd |
| subject_GND | (DE-588)4255044-0 |
| title | Mathematical methods in the theory of queueing |
| title_alt | Matematičeskie metody teorii massovogo obsluživanija |
| title_auth | Mathematical methods in the theory of queueing |
| title_exact_search | Mathematical methods in the theory of queueing |
| title_full | Mathematical methods in the theory of queueing A.Y. Khintchine ; translated by. D.M. Andrews and M.H. Quenouille ; additional notes by Eric Wolman |
| title_fullStr | Mathematical methods in the theory of queueing A.Y. Khintchine ; translated by. D.M. Andrews and M.H. Quenouille ; additional notes by Eric Wolman |
| title_full_unstemmed | Mathematical methods in the theory of queueing A.Y. Khintchine ; translated by. D.M. Andrews and M.H. Quenouille ; additional notes by Eric Wolman |
| title_short | Mathematical methods in the theory of queueing |
| title_sort | mathematical methods in the theory of queueing |
| topic | Warteschlangentheorie (DE-588)4255044-0 gnd |
| topic_facet | Warteschlangentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002584922&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000725110 |
| work_keys_str_mv | AT chincinaleksandrja matematiceskiemetodyteoriimassovogoobsluzivanija AT andrewsdm matematiceskiemetodyteoriimassovogoobsluzivanija AT quenouillemh matematiceskiemetodyteoriimassovogoobsluzivanija AT wolmaneric matematiceskiemetodyteoriimassovogoobsluzivanija AT chincinaleksandrja mathematicalmethodsinthetheoryofqueueing AT andrewsdm mathematicalmethodsinthetheoryofqueueing AT quenouillemh mathematicalmethodsinthetheoryofqueueing AT wolmaneric mathematicalmethodsinthetheoryofqueueing |