Stochastic theory of service systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford u.a.
Pergamon Pr.
1973
|
| Ausgabe: | 1. ed. |
| Schriftenreihe: | International series of monographs on pure and applied mathematics
103 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 165 S. |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV002503060 | ||
| 003 | DE-604 | ||
| 005 | 20150429 | ||
| 007 | t | ||
| 008 | 900308s1973 |||| 00||| engod | ||
| 035 | |a (OCoLC)447425 | ||
| 035 | |a (DE-599)BVBBV002503060 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91 |a DE-91G |a DE-19 |a DE-83 | ||
| 050 | 0 | |a T57.9 | |
| 082 | 0 | |a 658.4/032 |2 18 | |
| 084 | |a SK 820 |0 (DE-625)143258: |2 rvk | ||
| 084 | |a 60K25 |2 msc | ||
| 100 | 1 | |a Kosten, Leendert |e Verfasser |0 (DE-588)127783709 |4 aut | |
| 245 | 1 | 0 | |a Stochastic theory of service systems |c by L. Kosten |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Oxford u.a. |b Pergamon Pr. |c 1973 | |
| 300 | |a XII, 165 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a International series of monographs on pure and applied mathematics |v 103 | |
| 650 | 4 | |a Service industries - Systems analysis - Stochastic processes | |
| 650 | 4 | |a Files d'attente, Théorie des | |
| 650 | 4 | |a Processus stochastiques | |
| 650 | 7 | |a Warteschlangentheorie |2 swd | |
| 650 | 4 | |a Queuing theory | |
| 650 | 4 | |a Stochastic processes | |
| 650 | 0 | 7 | |a Stochastischer Prozess |0 (DE-588)4057630-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Warteschlangentheorie |0 (DE-588)4255044-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Systemtheorie |0 (DE-588)4058812-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wartesystem |0 (DE-588)4251734-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Warteschlangentheorie |0 (DE-588)4255044-0 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Wartesystem |0 (DE-588)4251734-5 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 689 | 2 | 0 | |a Stochastischer Prozess |0 (DE-588)4057630-9 |D s |
| 689 | 2 | |8 3\p |5 DE-604 | |
| 689 | 3 | 0 | |a Systemtheorie |0 (DE-588)4058812-9 |D s |
| 689 | 3 | |8 4\p |5 DE-604 | |
| 830 | 0 | |a International series of monographs on pure and applied mathematics |v 103 |w (DE-604)BV001888024 |9 103 | |
| 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=001612346&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001612346 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 4\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804116909316112384 |
|---|---|
| adam_text | Titel: Stochastic theory of service systems
Autor: Kosten, Leendert
Jahr: 1973
CONTENTS Preface ix 1. Introduction 1 1.1. General description of service systems 1 1.1.1. Characteristics of holding-times 4 1.1.2. Characteristics of the flow of demands 4 1.1.3. The queue-discipline 5 1.1.4. The time-dependence of the system’s behaviour; steady-state conditions 6 1.1.5. What are the questions that are normally asked? 7 1.1.6. Situations not covered by the described model 8 1.1.7. Analysis versus simulation 9 1.2. Characteristics of holding-times; continuation 10 1.3. Characteristics of the arrival process 17 1.3.1. The Poisson arrival process 18 1.3.2. Virtual and actual demands; time- and demand-averages 19 1.3.3. A simple birth-process; the Poisson distribution 20 1.3.4. The distribution of interarrival-times for the Poisson arrival process 22 1.3.5. Other distributions of interarrival-times 23 1.4. Kendall’s classification 24 2. The Standard Cases 26 2.1. Probability of blocking for the system M/Af/c-blocking 26 2.2. The Engset formula 31 2.3. Probability of delay and average waiting-time for the system M/M/c- delay 33 2.4. Econometric considerations 37 3. The Distribution of Waiting-times in the System Af/Af/c- delay 41 3.1. First-come-first-served 41 3.2. Last-come-first-served 42 3.3. “Random”-condition 45 3.4. Comparison of the cases “first-come-first-served”, “last-come-first- served” and “random” 47 3.5. A note on analytical methods 48 vii
vm CONTENTS 4. General Holding-time Assumption (CAf-cIass) SO 4.1. The case M/G/c-blocking 51 4.2. The case M/G/ 1-delay 55 4.3. A note on the system Af/G/c-delay 60 4.4. Use of Erlang-^ distributions 62 4.5. Hyperexponential distributions 67 5. Non-stationary Behaviour 71 5.1. Markov process with a finite number of states 71 5.2. The case M/M/c-blocking; transient behaviour 75 5.3. Transient behaviour of the system Af/G/l-delay 79 6. Priority 86 6.1. Non-pre-emptive priority 87 6.2. Pre-emptive priority; breakdown of machines 92 7. Restricted Availability 101 7.1. Introduction 101 7.2. Restricted availability; exact evaluation of probabilities of blocking 104 7.3. Approximate determination of probabilities of blocking; characteristics of overflow traffic 107 8. Arrival and Service in Batches 112 8.1. Introduction 112 8.2. Arrivals in batches; individual service (exponential holding-time) 113 8.3. Service in batches of capacity c; constant holding-time 115 8.4. The “custodian’s problem” 119 8.5. The “unscheduled ferry problem” 123 9. Simulation 127 9.1. Introduction; non-analytical methods 127 9.2. Principles of time-true simulation 130 9.3. Principles of roulette simulation 131 9.4. The implementation of randomness 135 9.5. Accuracy of simulation results 139 9.6. The “cluster effect” 142 Appendix: Generating Functions and Laplace Transforms 148 References 155 Author Index 159 Subject Index 161 Other titles in series 166
|
| any_adam_object | 1 |
| author | Kosten, Leendert |
| author_GND | (DE-588)127783709 |
| author_facet | Kosten, Leendert |
| author_role | aut |
| author_sort | Kosten, Leendert |
| author_variant | l k lk |
| building | Verbundindex |
| bvnumber | BV002503060 |
| callnumber-first | T - Technology |
| callnumber-label | T57 |
| callnumber-raw | T57.9 |
| callnumber-search | T57.9 |
| callnumber-sort | T 257.9 |
| callnumber-subject | T - General Technology |
| classification_rvk | SK 820 |
| ctrlnum | (OCoLC)447425 (DE-599)BVBBV002503060 |
| dewey-full | 658.4/032 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 658 - General management |
| dewey-raw | 658.4/032 |
| dewey-search | 658.4/032 |
| dewey-sort | 3658.4 232 |
| dewey-tens | 650 - Management and auxiliary services |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 1. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02507nam a2200601 cb4500</leader><controlfield tag="001">BV002503060</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20150429 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900308s1973 |||| 00||| engod</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)447425</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002503060</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-91</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">T57.9</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">658.4/032</subfield><subfield code="2">18</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">Kosten, Leendert</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)127783709</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Stochastic theory of service systems</subfield><subfield code="c">by L. Kosten</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Oxford u.a.</subfield><subfield code="b">Pergamon Pr.</subfield><subfield code="c">1973</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 165 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">International series of monographs on pure and applied mathematics</subfield><subfield code="v">103</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Service industries - Systems analysis - Stochastic processes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Files d'attente, Théorie des</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Processus stochastiques</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Warteschlangentheorie</subfield><subfield code="2">swd</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Queuing theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stochastic processes</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">Warteschlangentheorie</subfield><subfield code="0">(DE-588)4255044-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Systemtheorie</subfield><subfield code="0">(DE-588)4058812-9</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">Warteschlangentheorie</subfield><subfield code="0">(DE-588)4255044-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" 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="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Stochastischer Prozess</subfield><subfield code="0">(DE-588)4057630-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Systemtheorie</subfield><subfield code="0">(DE-588)4058812-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="8">4\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">International series of monographs on pure and applied mathematics</subfield><subfield code="v">103</subfield><subfield code="w">(DE-604)BV001888024</subfield><subfield code="9">103</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=001612346&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001612346</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">4\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV002503060 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:46:00Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001612346 |
| oclc_num | 447425 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-83 |
| physical | XII, 165 S. |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Pergamon Pr. |
| record_format | marc |
| series | International series of monographs on pure and applied mathematics |
| series2 | International series of monographs on pure and applied mathematics |
| spelling | Kosten, Leendert Verfasser (DE-588)127783709 aut Stochastic theory of service systems by L. Kosten 1. ed. Oxford u.a. Pergamon Pr. 1973 XII, 165 S. txt rdacontent n rdamedia nc rdacarrier International series of monographs on pure and applied mathematics 103 Service industries - Systems analysis - Stochastic processes Files d'attente, Théorie des Processus stochastiques Warteschlangentheorie swd Queuing theory Stochastic processes Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 gnd rswk-swf Systemtheorie (DE-588)4058812-9 gnd rswk-swf Wartesystem (DE-588)4251734-5 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 s 1\p DE-604 Wartesystem (DE-588)4251734-5 s 2\p DE-604 Stochastischer Prozess (DE-588)4057630-9 s 3\p DE-604 Systemtheorie (DE-588)4058812-9 s 4\p DE-604 International series of monographs on pure and applied mathematics 103 (DE-604)BV001888024 103 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001612346&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kosten, Leendert Stochastic theory of service systems International series of monographs on pure and applied mathematics Service industries - Systems analysis - Stochastic processes Files d'attente, Théorie des Processus stochastiques Warteschlangentheorie swd Queuing theory Stochastic processes Stochastischer Prozess (DE-588)4057630-9 gnd Warteschlangentheorie (DE-588)4255044-0 gnd Systemtheorie (DE-588)4058812-9 gnd Wartesystem (DE-588)4251734-5 gnd |
| subject_GND | (DE-588)4057630-9 (DE-588)4255044-0 (DE-588)4058812-9 (DE-588)4251734-5 |
| title | Stochastic theory of service systems |
| title_auth | Stochastic theory of service systems |
| title_exact_search | Stochastic theory of service systems |
| title_full | Stochastic theory of service systems by L. Kosten |
| title_fullStr | Stochastic theory of service systems by L. Kosten |
| title_full_unstemmed | Stochastic theory of service systems by L. Kosten |
| title_short | Stochastic theory of service systems |
| title_sort | stochastic theory of service systems |
| topic | Service industries - Systems analysis - Stochastic processes Files d'attente, Théorie des Processus stochastiques Warteschlangentheorie swd Queuing theory Stochastic processes Stochastischer Prozess (DE-588)4057630-9 gnd Warteschlangentheorie (DE-588)4255044-0 gnd Systemtheorie (DE-588)4058812-9 gnd Wartesystem (DE-588)4251734-5 gnd |
| topic_facet | Service industries - Systems analysis - Stochastic processes Files d'attente, Théorie des Processus stochastiques Warteschlangentheorie Queuing theory Stochastic processes Stochastischer Prozess Systemtheorie Wartesystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001612346&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001888024 |
| work_keys_str_mv | AT kostenleendert stochastictheoryofservicesystems |