Heavy traffic limits for multiphase queues:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
1994
|
| Series: | Translations of mathematical monographs
137 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. |
| Physical Description: | XI, 143 S. |
| ISBN: | 0821845977 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV009895498 | ||
| 003 | DE-604 | ||
| 005 | 20181015 | ||
| 007 | t | ||
| 008 | 941111s1994 |||| 00||| engod | ||
| 020 | |a 0821845977 |9 0-8218-4597-7 | ||
| 035 | |a (OCoLC)246828268 | ||
| 035 | |a (DE-599)BVBBV009895498 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-19 | ||
| 084 | |a SK 820 |0 (DE-625)143258: |2 rvk | ||
| 100 | 1 | |a Karpelevič, Fridrich I. |d 1927-2000 |e Verfasser |0 (DE-588)172766427 |4 aut | |
| 240 | 1 | 0 | |a Mnogofazovye sistemy massovogo obsluživanija v režime bol'šoj nagruzki |
| 245 | 1 | 0 | |a Heavy traffic limits for multiphase queues |c F. I. Karpelevich ; A. Ya. Kreinin |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 1994 | |
| 300 | |a XI, 143 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Translations of mathematical monographs |v 137 | |
| 500 | |a Aus d. Russ. übers. | ||
| 650 | 0 | 7 | |a Stochastischer Prozess |0 (DE-588)4057630-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wartesystem |0 (DE-588)4251734-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Wartesystem |0 (DE-588)4251734-5 |D s |
| 689 | 0 | 1 | |a Stochastischer Prozess |0 (DE-588)4057630-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Krejnin, Aleksandr J. |e Verfasser |4 aut | |
| 830 | 0 | |a Translations of mathematical monographs |v 137 |w (DE-604)BV000002394 |9 137 | |
| 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=006552714&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |n oe | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006552714 | ||
Record in the Search Index
| _version_ | 1804124254802804736 |
|---|---|
| adam_text | CONTENTS
Preface ix
Frequently Used Notation xi
Introduction 1
Chapter I. Processes with Reflection 11
§ 1. The process X 11
§2. The process £, 15
§3. The infinitesimal operator of the process £, 20
§4. The dependence of the processes X and £, on the point x0 22
§5. The convergence to the process £, 25
§6. Coordinate supremum for the process J 31
§7. Modifications of the processes X and £, 35
Chapter II. Multiphase Systems 43
§1. General multiphase systems 43
§2. Multiphase queueing systems satisfying the Kleinrock condition 47
§3. Multiphase Kleinrock systems in heavy traffic 50
§4. Multiphase Kleinrock systems in heavy traffic. Relations to a boundary
value problem 56
§5. Stationary waiting time in multiphase queueing systems 60
§6. Multiphase systems with identical service 64
§7. Multiphase systems with identical service in heavy traffic 69
Chapter III. Limit Theorems for Queue Length and Departure Times Processes 79
§ 1. The asymptotic behavior of queue lengths in heavy traffic 79
§2. The asymptotic behavior of departure times in systems satisfying the
Kleinrock condition 84
§3. Hydrodynamic limit in a system with identical service 86
Appendix I. Weak Convergence in Function Spaces 89
§ 1. Convergence in distribution 89
§2. Convergence in the space D 91
§3. The Invariance Principle 93
Appendix II. Weak Convergence of Functionals of Stochastic Processes 95
§ 1. Approximated functionals 95
§2. Unapproximated functionals 97
§3. Convergence in distribution for approximated functionals 98
Appendix III. Auxiliary Results 99
§ 1. Bounds for semimartingales 99
§2. Bounds for processes with special structure 99
vii
viii CONTENTS
Appendix IV. Tandem Queues in Heavy Traffic 105
§ 1. Reduction to a boundary value problem 105
§2. Solution of the boundary value problem (BP) 108
§ 3. Solutions of the problem in particular cases 116
Appendix V. Joint Distributions in Poissonian Tandem Queues 119
§ 1. Description of the queue 119
§2. Auxiliary process X(t) and second queue behavior 120
§3. The joint queue length distribution 122
§4. Waiting and sojourn times distributions 125
§5. Heavy traffic transient behavior 128
Bibliographical Notes 133
Bibliography 139
|
| any_adam_object | 1 |
| author | Karpelevič, Fridrich I. 1927-2000 Krejnin, Aleksandr J. |
| author_GND | (DE-588)172766427 |
| author_facet | Karpelevič, Fridrich I. 1927-2000 Krejnin, Aleksandr J. |
| author_role | aut aut |
| author_sort | Karpelevič, Fridrich I. 1927-2000 |
| author_variant | f i k fi fik a j k aj ajk |
| building | Verbundindex |
| bvnumber | BV009895498 |
| classification_rvk | SK 820 |
| ctrlnum | (OCoLC)246828268 (DE-599)BVBBV009895498 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01694nam a2200409 cb4500</leader><controlfield tag="001">BV009895498</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20181015 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">941111s1994 |||| 00||| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821845977</subfield><subfield code="9">0-8218-4597-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246828268</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV009895498</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</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="100" ind1="1" ind2=" "><subfield code="a">Karpelevič, Fridrich I.</subfield><subfield code="d">1927-2000</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172766427</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Mnogofazovye sistemy massovogo obsluživanija v režime bol'šoj nagruzki</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Heavy traffic limits for multiphase queues</subfield><subfield code="c">F. I. Karpelevich ; A. Ya. Kreinin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, R.I.</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">1994</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 143 S.</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">Translations of mathematical monographs</subfield><subfield code="v">137</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Aus d. Russ. übers.</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stochastischer Prozess</subfield><subfield code="0">(DE-588)4057630-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wartesystem</subfield><subfield code="0">(DE-588)4251734-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Wartesystem</subfield><subfield code="0">(DE-588)4251734-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Stochastischer Prozess</subfield><subfield code="0">(DE-588)4057630-9</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">Krejnin, Aleksandr J.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Translations of mathematical monographs</subfield><subfield code="v">137</subfield><subfield code="w">(DE-604)BV000002394</subfield><subfield code="9">137</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=006552714&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="n">oe</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006552714</subfield></datafield></record></collection> |
| id | DE-604.BV009895498 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:42:45Z |
| institution | BVB |
| isbn | 0821845977 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006552714 |
| oclc_num | 246828268 |
| open_access_boolean | |
| owner | DE-12 DE-19 DE-BY-UBM |
| owner_facet | DE-12 DE-19 DE-BY-UBM |
| physical | XI, 143 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Karpelevič, Fridrich I. 1927-2000 Verfasser (DE-588)172766427 aut Mnogofazovye sistemy massovogo obsluživanija v režime bol'šoj nagruzki Heavy traffic limits for multiphase queues F. I. Karpelevich ; A. Ya. Kreinin Providence, R.I. American Mathematical Society 1994 XI, 143 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 137 Aus d. Russ. übers. Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Wartesystem (DE-588)4251734-5 gnd rswk-swf Wartesystem (DE-588)4251734-5 s Stochastischer Prozess (DE-588)4057630-9 s DE-604 Krejnin, Aleksandr J. Verfasser aut Translations of mathematical monographs 137 (DE-604)BV000002394 137 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006552714&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Karpelevič, Fridrich I. 1927-2000 Krejnin, Aleksandr J. Heavy traffic limits for multiphase queues Translations of mathematical monographs Stochastischer Prozess (DE-588)4057630-9 gnd Wartesystem (DE-588)4251734-5 gnd |
| subject_GND | (DE-588)4057630-9 (DE-588)4251734-5 |
| title | Heavy traffic limits for multiphase queues |
| title_alt | Mnogofazovye sistemy massovogo obsluživanija v režime bol'šoj nagruzki |
| title_auth | Heavy traffic limits for multiphase queues |
| title_exact_search | Heavy traffic limits for multiphase queues |
| title_full | Heavy traffic limits for multiphase queues F. I. Karpelevich ; A. Ya. Kreinin |
| title_fullStr | Heavy traffic limits for multiphase queues F. I. Karpelevich ; A. Ya. Kreinin |
| title_full_unstemmed | Heavy traffic limits for multiphase queues F. I. Karpelevich ; A. Ya. Kreinin |
| title_short | Heavy traffic limits for multiphase queues |
| title_sort | heavy traffic limits for multiphase queues |
| topic | Stochastischer Prozess (DE-588)4057630-9 gnd Wartesystem (DE-588)4251734-5 gnd |
| topic_facet | Stochastischer Prozess Wartesystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006552714&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | AT karpelevicfridrichi mnogofazovyesistemymassovogoobsluzivanijavrezimebolsojnagruzki AT krejninaleksandrj mnogofazovyesistemymassovogoobsluzivanijavrezimebolsojnagruzki AT karpelevicfridrichi heavytrafficlimitsformultiphasequeues AT krejninaleksandrj heavytrafficlimitsformultiphasequeues |