A Product Theorem for Markov Chains with Application to PF-Queueing Networks

Saved in:
Bibliographic Details
Published in:Annals of operations research Vol. 113; no. 1-4; pp. 141 - 154
Main Authors: Tsitsiashvili, G.Sh, Osipova, M.A., Koliev, N.V., Baum, D.
Format: Journal Article
Language:English
Published: New York Springer Nature B.V 01.07.2002
Subjects:
Adaptation
Hypotheses
Markov analysis
Physiology
Wireless networks
ISSN:0254-5330, 1572-9338
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Author Baum, D.
Koliev, N.V.
Osipova, M.A.
Tsitsiashvili, G.Sh
Author_xml – sequence: 1
  givenname: G.Sh
  surname: Tsitsiashvili
  fullname: Tsitsiashvili, G.Sh
– sequence: 2
  givenname: M.A.
  surname: Osipova
  fullname: Osipova, M.A.
– sequence: 3
  givenname: N.V.
  surname: Koliev
  fullname: Koliev, N.V.
– sequence: 4
  givenname: D.
  surname: Baum
  fullname: Baum, D.
BookMark eNp1kDtPwzAAhC1UJNrCzGqxh_oRuzFbVPGSChSpzJbj2NR9xMF2qPj3BMoCEtMt993pbgQGjW8MAOcYXWJE6KS86gUJnCMiOMNHYIjZlGSC0mIAhoiwPGOUohMwinGNEMK4YEMwL-Ei-LrTCS5Xxgezg9YH-KDCxr_D2Uq5JsK9SytYtu3WaZWcb2DycHGTPXemM655hY8m7X3YxFNwbNU2mrMfHYOXm-vl7C6bP93ez8p5pgnnKSuwrRXnFAvNBeWKUJ3bStSMiZrkCovC5gpRRep-idWYIaWrAlV5hbC2haFjcHHIbYN_60xMcu270PSVkuCcoYJPWW-aHEw6-BiDsbINbqfCh8RIfj0mS_nrsZ5gfwjt0vfgFJTb_st9AsTub0w
CitedBy_id crossref_primary_10_1007_s11122_005_0021_7
crossref_primary_10_1017_S0001867800000094
crossref_primary_10_1134_S1064562415060198
crossref_primary_10_1017_apr_2016_2
crossref_primary_10_3390_math7050477
crossref_primary_10_1016_j_ejor_2013_03_011
crossref_primary_10_1007_s10958_016_3025_5
crossref_primary_10_1007_s10958_006_0015_z
crossref_primary_10_1239_aap_1113402405
crossref_primary_10_1007_s11134_014_9426_6
Cites_doi 10.1080/15326349108807174
10.2307/1426330
10.1145/321879.321887
10.2307/3213143
10.1145/285243.285278
10.1007/BF02412254
10.1007/BF01149193
10.1016/0167-6377(94)90009-4
ContentType Journal Article
Copyright Copyright Kluwer Academic Publishers Jul 2002
Copyright_xml – notice: Copyright Kluwer Academic Publishers Jul 2002
DBID AAYXX
CITATION
3V.
7TA
7TB
7WY
7WZ
7XB
87Z
88I
8AL
8AO
8FD
8FE
8FG
8FK
8FL
ABJCF
ABUWG
AFKRA
ARAPS
AZQEC
BENPR
BEZIV
BGLVJ
CCPQU
DWQXO
FR3
FRNLG
F~G
GNUQQ
HCIFZ
JG9
JQ2
K60
K6~
K7-
KR7
L.-
L6V
M0C
M0N
M2P
M7S
P5Z
P62
PHGZM
PHGZT
PKEHL
PQBIZ
PQBZA
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
Q9U
DOI 10.1023/A:1020914029651
DatabaseName CrossRef
ProQuest Central (Corporate)
Materials Business File
Mechanical & Transportation Engineering Abstracts
ABI-INFORM Complete
ABI/INFORM Global (PDF only)
ProQuest Central (purchase pre-March 2016)
ABI/INFORM Collection
Science Database (Alumni Edition)
Computing Database (Alumni Edition)
ProQuest Pharma Collection
Technology Research Database
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest Central (Alumni) (purchase pre-March 2016)
ABI/INFORM Collection (Alumni)
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
Advanced Technologies & Computer Science Collection
ProQuest Central Essentials
ProQuest Central
Business Premium Collection
Technology Collection
ProQuest One Community College
ProQuest Central Korea
Engineering Research Database
Business Premium Collection (Alumni)
ABI/INFORM Global (Corporate)
ProQuest Central Student
SciTech Premium Collection
Materials Research Database
ProQuest Computer Science Collection
ProQuest Business Collection (Alumni Edition)
ProQuest Business Collection
Computer Science Database
Civil Engineering Abstracts
ABI/INFORM Professional Advanced
ProQuest Engineering Collection
ABI/INFORM Global
Computing Database
Science Database
Engineering Database
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
Proquest Central Premium
ProQuest One Academic (New)
ProQuest One Academic Middle East (New)
ProQuest One Business
ProQuest One Business (Alumni)
ProQuest One Academic Eastern Edition (DO NOT USE)
One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering collection
ProQuest Central Basic
DatabaseTitle CrossRef
Materials Research Database
ProQuest Business Collection (Alumni Edition)
Computer Science Database
ProQuest Central Student
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Computer Science Collection
SciTech Premium Collection
ProQuest Central China
ABI/INFORM Complete
Materials Business File
ProQuest One Applied & Life Sciences
ProQuest Central (New)
Engineering Collection
Advanced Technologies & Aerospace Collection
Business Premium Collection
ABI/INFORM Global
Engineering Database
ProQuest Science Journals (Alumni Edition)
ProQuest One Academic Eastern Edition
ProQuest Technology Collection
ProQuest Business Collection
ProQuest One Academic UKI Edition
Engineering Research Database
ProQuest One Academic
ProQuest One Academic (New)
ABI/INFORM Global (Corporate)
ProQuest One Business
Technology Collection
Technology Research Database
ProQuest One Academic Middle East (New)
Mechanical & Transportation Engineering Abstracts
ProQuest Central (Alumni Edition)
ProQuest One Community College
ProQuest Pharma Collection
ProQuest Central
ABI/INFORM Professional Advanced
ProQuest Engineering Collection
ProQuest Central Korea
ABI/INFORM Complete (Alumni Edition)
Civil Engineering Abstracts
ProQuest Computing
ABI/INFORM Global (Alumni Edition)
ProQuest Central Basic
ProQuest Science Journals
ProQuest Computing (Alumni Edition)
ProQuest SciTech Collection
Advanced Technologies & Aerospace Database
Materials Science & Engineering Collection
ProQuest One Business (Alumni)
ProQuest Central (Alumni)
Business Premium Collection (Alumni)
Database_xml – sequence: 1
  dbid: BENPR
  name: ProQuest Central
  url: https://www.proquest.com/central
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Computer Science
Business
EISSN 1572-9338
EndPage 154
ExternalDocumentID 404138041
10_1023_A_1020914029651
Genre General Information
GroupedDBID -Y2
-~C
-~X
.4S
.86
.DC
.VR
06D
0R~
0VY
1N0
1SB
2.D
203
23M
28-
2J2
2JN
2JY
2KG
2KM
2LR
2P1
2VQ
2~H
30V
4.4
406
408
409
40D
40E
5GY
5QI
5VS
67Z
6NX
7WY
88I
8AO
8FE
8FG
8FL
8TC
8VB
95-
95.
95~
96X
AAAVM
AABHQ
AACDK
AAHNG
AAIAL
AAJBT
AAJKR
AANZL
AAPKM
AARHV
AARTL
AASML
AATNV
AATVU
AAUYE
AAWCG
AAYIU
AAYQN
AAYTO
AAYXX
ABAKF
ABBBX
ABBRH
ABBXA
ABDBE
ABDZT
ABECU
ABFSG
ABFTV
ABHLI
ABHQN
ABJCF
ABJNI
ABJOX
ABKCH
ABKTR
ABMNI
ABMQK
ABNWP
ABQBU
ABQSL
ABRTQ
ABSXP
ABTEG
ABTHY
ABTKH
ABTMW
ABULA
ABUWG
ABWNU
ABXPI
ACAOD
ACBXY
ACDTI
ACGFS
ACGOD
ACHSB
ACHXU
ACIWK
ACKNC
ACMDZ
ACMLO
ACOKC
ACOMO
ACPIV
ACSTC
ACZOJ
ADHHG
ADHIR
ADHKG
ADIMF
ADKFA
ADKNI
ADKPE
ADRFC
ADTPH
ADURQ
ADYFF
ADZKW
AEBTG
AEFIE
AEFQL
AEGAL
AEGNC
AEJHL
AEJRE
AEKMD
AEMSY
AENEX
AEOHA
AEPYU
AETLH
AEVLU
AEXYK
AEZWR
AFBBN
AFDZB
AFEXP
AFFHD
AFGCZ
AFHIU
AFKRA
AFLOW
AFOHR
AFQWF
AFWTZ
AFZKB
AGAYW
AGDGC
AGGDS
AGJBK
AGMZJ
AGQEE
AGQMX
AGQPQ
AGRTI
AGWIL
AGWZB
AGYKE
AHAVH
AHBYD
AHKAY
AHPBZ
AHQJS
AHSBF
AHWEU
AHYZX
AIAKS
AIGIU
AIIXL
AILAN
AITGF
AIXLP
AJBLW
AJRNO
AJZVZ
AKVCP
ALMA_UNASSIGNED_HOLDINGS
ALWAN
AMKLP
AMVHM
AMXSW
AMYLF
AMYQR
AOCGG
ARAPS
ARCSS
ARMRJ
ASPBG
ATHPR
AVWKF
AXYYD
AYFIA
AYQZM
AZFZN
AZQEC
B-.
BA0
BAPOH
BBWZM
BDATZ
BENPR
BEZIV
BGLVJ
BGNMA
BPHCQ
BSONS
CAG
CCPQU
CITATION
COF
CS3
CSCUP
DDRTE
DL5
DNIVK
DPUIP
DWQXO
EBLON
EBO
EBS
EBU
EDO
EIOEI
EJD
ESBYG
FEDTE
FERAY
FFXSO
FIGPU
FINBP
FNLPD
FRNLG
FRRFC
FSGXE
FWDCC
GGCAI
GGRSB
GJIRD
GNUQQ
GNWQR
GQ7
GQ8
GROUPED_ABI_INFORM_RESEARCH
GXS
H13
HCIFZ
HF~
HG5
HG6
HMJXF
HQYDN
HRMNR
HVGLF
HZ~
I-F
I09
IAO
ICD
IEA
IHE
IJ-
IKXTQ
ITC
ITM
IWAJR
IXC
IZIGR
IZQ
I~X
I~Z
J-C
J0Z
JBSCW
JCJTX
JZLTJ
K1G
K60
K6V
K6~
K7-
KDC
KOV
KOW
L6V
LAK
LLZTM
M0C
M2P
M4Y
M7S
MA-
N2Q
N95
N9A
NB0
NDZJH
NPVJJ
NQJWS
NU0
O9-
O93
O9G
O9I
OAM
OVD
P19
P2P
P62
P9M
PF0
PHGZM
PHGZT
PQBIZ
PQBZA
PQGLB
PQQKQ
PROAC
PT4
PT5
PTHSS
Q2X
QOK
QOS
QWB
R4E
R89
R9I
RHV
RNI
RNS
ROL
RPX
RSV
RZC
RZD
RZK
S16
S1Z
S26
S27
S28
S3B
SAP
SBE
SCF
SCLPG
SDH
SDM
SHX
SISQX
SJYHP
SNE
SNPRN
SNX
SOHCF
SOJ
SPISZ
SRMVM
SSLCW
STPWE
SZN
T13
T16
TEORI
TH9
TSG
TSK
TSV
TUC
TUS
U2A
UG4
UOJIU
UTJUX
UZXMN
VC2
VFIZW
W23
W48
WK8
YLTOR
Z45
ZL0
ZMTXR
ZYFGU
~8M
~A9
~EX
3V.
7TA
7TB
7XB
8AL
8FD
8FK
AESKC
FR3
JG9
JQ2
KR7
L.-
M0N
PKEHL
PQEST
PQUKI
PRINS
Q9U
ID FETCH-LOGICAL-c266t-81fda66319c6936a23c4fb9d559d24a198f4a03a2d296fc150acb80b4b01cf8e3
IEDL.DBID K7-
ISICitedReferencesCount 6
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000179089900010&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0254-5330
IngestDate Wed Nov 05 14:22:24 EST 2025
Sat Nov 29 07:52:45 EST 2025
Tue Nov 18 22:19:47 EST 2025
IsPeerReviewed true
IsScholarly true
Issue 1-4
Language English
License https://www.springernature.com/gp/researchers/text-and-data-mining
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c266t-81fda66319c6936a23c4fb9d559d24a198f4a03a2d296fc150acb80b4b01cf8e3
Notes SourceType-Scholarly Journals-1
ObjectType-General Information-1
content type line 14
PQID 214508675
PQPubID 25585
PageCount 14
ParticipantIDs proquest_journals_214508675
crossref_primary_10_1023_A_1020914029651
crossref_citationtrail_10_1023_A_1020914029651
PublicationCentury 2000
PublicationDate 2002-07-01
PublicationDateYYYYMMDD 2002-07-01
PublicationDate_xml – month: 07
  year: 2002
  text: 2002-07-01
  day: 01
PublicationDecade 2000
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle Annals of operations research
PublicationYear 2002
Publisher Springer Nature B.V
Publisher_xml – name: Springer Nature B.V
References M.F. Neuts (5099807_CR9) 1979; 16
F. Baskett (5099807_CR1) 1975; 22
G. Tsitsiashvili (5099807_CR11) 2000; 1
Y. Zhu (5099807_CR14) 1994; 15
N.U. Prabhu (5099807_CR10) 1989; 6
5099807_CR12
D.M. Lucantoni (5099807_CR6) 1991; 7
S. Choi (5099807_CR3) 1998; 28
M.F. Neuts (5099807_CR8) 1971; 3
D. Baum (5099807_CR2) 2002; 1
F. Machihara (5099807_CR7) 1999; 32
F.P. Kelly (5099807_CR5) 1979
L. Glybin (5099807_CR4) 1996
Y. Zhu (5099807_CR13) 1991; 8
References_xml – volume-title: Reversibility and Stochastic Networks
  year: 1979
  ident: 5099807_CR5
– volume: 7
  start-page: 1
  issue: 1
  year: 1991
  ident: 5099807_CR6
  publication-title: Communications in Statistical and Stochastic Models
  doi: 10.1080/15326349108807174
– ident: 5099807_CR12
– volume: 32
  start-page: 1
  issue: 13
  year: 1999
  ident: 5099807_CR7
  publication-title: Queueing Systems. Theory and Applications
– volume: 3
  start-page: 78
  year: 1971
  ident: 5099807_CR8
  publication-title: Advances in Applied Probability
  doi: 10.2307/1426330
– volume: 22
  start-page: 248
  year: 1975
  ident: 5099807_CR1
  publication-title: Journal of the ACM
  doi: 10.1145/321879.321887
– volume: 16
  start-page: 764
  year: 1979
  ident: 5099807_CR9
  publication-title: Journal of Applied Probability
  doi: 10.2307/3213143
– volume: 28
  start-page: 155
  issue: 4
  year: 1998
  ident: 5099807_CR3
  publication-title: Computer Communication Review
  doi: 10.1145/285243.285278
– volume: 8
  start-page: 255
  year: 1991
  ident: 5099807_CR13
  publication-title: Queueing Systems. Theory and Applications
  doi: 10.1007/BF02412254
– volume: 1
  start-page: 167
  issue: 2
  year: 2002
  ident: 5099807_CR2
  publication-title: International Journal on Pure and Applied Mathematics
– volume: 6
  start-page: 215
  year: 1989
  ident: 5099807_CR10
  publication-title: Queueing Systems. Theory and Applications
  doi: 10.1007/BF01149193
– volume-title: Rhythm of Human Society Life. Discovery of a Phenomenon
  year: 1996
  ident: 5099807_CR4
– volume: 1
  start-page: 58
  year: 2000
  ident: 5099807_CR11
  publication-title: Far Eastern Mathematical Journal
– volume: 15
  start-page: 11
  year: 1994
  ident: 5099807_CR14
  publication-title: Operations Research Letters
  doi: 10.1016/0167-6377(94)90009-4
SSID ssj0001185
Score 1.6848218
SourceID proquest
crossref
SourceType Aggregation Database
Enrichment Source
Index Database
StartPage 141
SubjectTerms Adaptation
Hypotheses
Markov analysis
Physiology
Wireless networks
Title A Product Theorem for Markov Chains with Application to PF-Queueing Networks
URI https://www.proquest.com/docview/214508675
Volume 113
WOSCitedRecordID wos000179089900010&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVPQU
  databaseName: ABI-INFORM Complete
  customDbUrl:
  eissn: 1572-9338
  dateEnd: 20171231
  omitProxy: false
  ssIdentifier: ssj0001185
  issn: 0254-5330
  databaseCode: 7WY
  dateStart: 19990101
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/abicomplete
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ABI/INFORM Global
  customDbUrl:
  eissn: 1572-9338
  dateEnd: 20171231
  omitProxy: false
  ssIdentifier: ssj0001185
  issn: 0254-5330
  databaseCode: M0C
  dateStart: 19990101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/abiglobal
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Advanced Technologies & Aerospace Database
  customDbUrl:
  eissn: 1572-9338
  dateEnd: 20171231
  omitProxy: false
  ssIdentifier: ssj0001185
  issn: 0254-5330
  databaseCode: P5Z
  dateStart: 19990101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/hightechjournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Computer Science Database
  customDbUrl:
  eissn: 1572-9338
  dateEnd: 20171231
  omitProxy: false
  ssIdentifier: ssj0001185
  issn: 0254-5330
  databaseCode: K7-
  dateStart: 19990101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/compscijour
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Engineering Database
  customDbUrl:
  eissn: 1572-9338
  dateEnd: 20171231
  omitProxy: false
  ssIdentifier: ssj0001185
  issn: 0254-5330
  databaseCode: M7S
  dateStart: 19990101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl:
  eissn: 1572-9338
  dateEnd: 20171231
  omitProxy: false
  ssIdentifier: ssj0001185
  issn: 0254-5330
  databaseCode: BENPR
  dateStart: 19990101
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Science Database
  customDbUrl:
  eissn: 1572-9338
  dateEnd: 20171231
  omitProxy: false
  ssIdentifier: ssj0001185
  issn: 0254-5330
  databaseCode: M2P
  dateStart: 19990101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/sciencejournals
  providerName: ProQuest
– providerCode: PRVAVX
  databaseName: SpringerLINK Contemporary 1997-Present
  customDbUrl:
  eissn: 1572-9338
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0001185
  issn: 0254-5330
  databaseCode: RSV
  dateStart: 19970101
  isFulltext: true
  titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22
  providerName: Springer Nature
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT9tAEB5BghAcCgQQKRDtoQcuC_auHXtPVRoRVWqJrLaIx8Vaj201UnFCnPD7O7u2I1IJLr3MxQ-t9jEzu_Pt9wF8SihoytD3eZ4rxb1cItchCu4ZYhQvCSVqtGITwXgc3t-rqMbmlDWssvGJ1lGnUzRn5FeGUZvS78D_PHvmRjTKFFdrBY1NaLtCuGaafwv4yhFT7mwRjLQH4gZE-Q-zj6BQSbsn1ffd9aC07pNtoBnt_WcT9-FDnWGyQTUlDmAjKzqw3QDcO7DXCDmwel13YPcVK-EhfB-wWcUDy6prjk-MMltmbvVMXxj-1pOiZOb8lr2qfrPFlEUjTs1dZvQXVlTw8vIIbkfXv4ZfeS26wJFi9YKHbp5qSkNchX0l-1pI9PJEpbTzSIWnXRXmnnakFin1XI6UT2pMQifxEsfFPMzkMbSKaZGdAFMiScldeJbGSwjUaeKk2EfhSKl91F24bHo9xpqR3Ahj_IltZVzIeBCvDVMXLlYfzCoyjrdfPW3GKK5XZRmvBujju09PYcdqvlhQ7hm0FvNldg5b-LKYlPMebAZ3Dz1of7keRz96dsaRvXGGxorI2OAn2ch__At5JNzT
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1NT9tAEB0Fivg4lJJSQVNgDyBxWersrh3vAVURJQKRRhxA4mbWY1tFap2AA4gfxX_s7NqOkkpw48DZ9kpeP8-b2Z19D2A3JtKUoe_zLNOaq0wiNyEKrqwwiopDiQad2URnMAivrvR5A57rszC2rbKOiS5QJ0O0a-TfraI2pd8d_8follvTKLu5WjtolKg4S58eqWIrDk9_0ufdE6J3fHF0witTAY7ERWMetrPEEM22NQZaBkZIVFmsE8qsE6EM1eCZMp40IhE6yJDyJYNx6MUq9tqYhamkcefgg1L0N9hOQe9oEvgpV3cdk1Rzcdu0-Z-SkCBqpmpNB357lgRnOcARW2_1nU3JJ_hYZdCsW0J-DRpp3oTFuoG_Cau1UQWr4lYTVqZUFz9Dv8tGpc4tK49x_mWUuTN7amn4wPC3uckLZten2dTuPhsP2XmP0_TcpzQKy8v2-WIdLt_kZb_AfD7M0w1gWsQJhUPlZMqEQJPEXoIBCk9K46PZhIP6K0dYKa5b448_kdv5FzLqRjOw2IT9yQOjUmzk5VtbNSaiKuoU0QQQX1-9ugNLJxe_-lH_dHDWgmXnb-MakL_B_PjuPt2CBXwY3xR32w7fDK7fGj3_AIRiM7A
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1BT9swFH4q3YTgAFsZgsGGD0PiYkjtJI0PE6pgFaio6gEkbsF5iQXSSEtTQPy0_bs9O0nVIm03DpyTWIr9_L737O99D-BHQqApoyDgxijFfSOR6wgF960wip9EEjW6ZhOdwSC6vlbDBvypa2EsrbL2ic5RpyO0Z-RHVlGbwu9OcGQqVsTwtHc8fuC2gZS9aK27aZQW0s9enil7K36en9JS7wvR-3V5csarBgMcCZemPGqbVBPkthWGSoZaSPRNolKKslPha8rHja89qUUqVGiQYieNSeQlfuK10USZpHGX4AOBcGC3WL_DZyBAcbtjT1L-xS2B85WqkCCYpsxNhUF7ERAX8cCBXG_9HU_PJ1irImvWLbfCZ2hkeQuWa2J_C9brBhas8mctWJ1TY9yAiy4bl_q3rCzvvGcU0TNbzTR6Ynir7_KC2XNrNnfrz6YjNuxxmqrHjEZheUmrL77A1Zv87CY081GebQFTIknJTfpOvkwI1GnipRii8KTUAeptOKxXPMZKid02BPkdO0aAkHE3XjCRbTiYfTAuRUj-_epObR9x5Y2KeGYcX__7dA-WyWjii_NBfwdWXNsbx0veheZ08ph9g4_4NL0rJt-dqTO4eWvj-QuNmjxW
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+Product+Theorem+for+Markov+Chains+with+Application+to+PF-Queueing+Networks&rft.jtitle=Annals+of+operations+research&rft.au=Tsitsiashvili%2C+G.Sh&rft.au=Osipova%2C+M.A.&rft.au=Koliev%2C+N.V.&rft.au=Baum%2C+D.&rft.date=2002-07-01&rft.issn=0254-5330&rft.eissn=1572-9338&rft.volume=113&rft.issue=1-4&rft.spage=141&rft.epage=154&rft_id=info:doi/10.1023%2FA%3A1020914029651&rft.externalDBID=n%2Fa&rft.externalDocID=10_1023_A_1020914029651
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0254-5330&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0254-5330&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0254-5330&client=summon