A biologically inspired fluid model of the cyclic service system

A deterministic fluid model in the form of nonlinear ordinary differential equations is developed to provide the description for a multichannel service system with service-in-random-order queue discipline, abandonment and re-entry, where servers are treated like enzyme molecules. The parametric analys...

Full description

Saved in:
Bibliographic Details
Published inMathematical modelling and analysis Vol. 25; no. 4; pp. 505 - 521
Main Authors Kantarbayeva, Aliya, Mustafin, Almaz
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 13.10.2020
Subjects
abandonment
clearing function
Commodities
Differential equations
Enzymes
multiple server
Operations research
Parametric analysis
Production functions
Production planning
random order service
re-entry
fluid queues
re-entry
random order service
clearing function
fluid queues
abandonment
multiple server
Online AccessGet full text

Cover

Abstract A deterministic fluid model in the form of nonlinear ordinary differential equations is developed to provide the description for a multichannel service system with service-in-random-order queue discipline, abandonment and re-entry, where servers are treated like enzyme molecules. The parametric analysis of the model’s fixed point is given, particularly, how the arrival rate of new customers affects the steady-state demand. It is also shown that the model implies a saturating clearing function (yield vs. demand) of the Karmarkar type providing the mean service time is much shorter than the characteristic waiting time.
AbstractList A deterministic fluid model in the form of nonlinear ordinary differential equations is developed to provide the description for a multichannel service system with service-in-random-order queue discipline, abandonment and re-entry, where servers are treated like enzyme molecules. The parametric analysis of the model’s fixed point is given, particularly, how the arrival rate of new customers affects the steady-state demand. It is also shown that the model implies a saturating clearing function (yield vs. demand) of the Karmarkar type providing the mean service time is much shorter than the characteristic waiting time.
A deterministic fluid model in the form of nonlinear ordinary differential equations is developed to provide the description for a multichannel service system with service-in-random-order queue discipline, abandonment and re-entry, where servers are treated like enzyme molecules. The parametric analysis of the model's fixed point is given, particularly, how the arrival rate of new customers affects the steady-state demand. It is also shown that the model implies a saturating clearing function (yield vs. demand) of the Karmarkar type providing the mean service time is much shorter than the characteristic waiting time. Keywords: fluid queues, multiple server, abandonment, re-entry, random order service, clearing function. AMS Subject Classification: 90B22.
A deterministic fluid model in the form of nonlinear ordinary differential equations is developed to provide the description for a multichannel service system with service-in-random-order queue discipline, abandonment and re-entry, where servers are treated like enzyme molecules. The parametric analysis of the model’s fixed point is given, particularly, how the arrival rate of new customers affects the steady-state demand. It is also shown that the model implies a saturating clearing function (yield vs. demand) of the Karmarkar type providing the mean service time is much shorter than the characteristic waiting time.
Audience Academic
Author Mustafin, Almaz
Kantarbayeva, Aliya
Author_xml – sequence: 1
  givenname: Aliya
  orcidid: 0000-0002-8798-8036
  surname: Kantarbayeva
  fullname: Kantarbayeva, Aliya
  organization: Al-Farabi Kazakh National University, Al-Farabi Ave. 71, 050040 Almaty, Kazakhstan
– sequence: 2
  givenname: Almaz
  orcidid: 0000-0001-9474-2352
  surname: Mustafin
  fullname: Mustafin, Almaz
  organization: Satbayev University, Satbayev St. 22, 050013 Almaty, Kazakhstan
BookMark eNpFUctqHDEQFMGG2I6vOQtCjrORWtJodMti4gcYfHHOQqPHRotmtJFmDfv3kT1JTB-6aaqK6q5LdDbn2SP0mZING3j_bZrMBgiQDSUDoR_QBe350DFByVmbmYKuBwUf0WWte0KEgIFcoO9bPMac8i5ak9IJx7keYvEOh3SMDk_Z-YRzwMsvj-3Jpmhx9eUlWo_rqS5--oTOg0nVX__tV-jn7Y_nm_vu8enu4Wb72Fmm5NKBCmoYmCMySKuMDYPhozfOjcZDYJLDKEcCTgnmLHUUQPYBODEgCQ3Bsyv0sOq6bPb6UOJkyklnE_XbIpedNmWJNnktlJDWBcWd5Vwxrji1oyfMUuV7EKRpfVm1DiX_Pvq66H0-lrnZ1yB6kEpQBg21WVE700TjHPJSjG3l_BRt-32Ibb_tmRoUZX3_TrAl11p8-G-TEv0akW4R6deI9FtEjfB1JbzENMdjfbfx75QV9wcEfJIr
Cites_doi 10.1016/j.physa.2006.01.042
10.1007/978-3-540-68896-9
10.1002/9780470400531.eorms0329
10.1016/j.heliyon.2018.e00626
10.2307/3007087
10.1007/978-0-85729-644-3_12
10.1016/S1053-5357(01)00126-3
10.1111/febs.12663
10.1057/jors.1982.136
10.2307/3007650
10.1287/msom.2013.0474
10.1016/j.ejor.2017.03.013
10.1007/978-3-319-23195-2
10.1142/5938
10.1111/j.1475-4991.2000.tb00848.x
10.1016/S0927-0507(05)80186-0
10.1007/978-3-319-12316-5
10.1016/0301-4622(83)85001-7
10.1137/1031091
10.1111/j.1475-4991.1977.tb00021.x
10.1098/rsfs.2013.0077
10.4159/harvard.9780674281639.c19
10.1137/S1540345902419616
10.1287/opre.1080.0533
10.1073/pnas.0610987104
10.1002/9781119453765
ContentType Journal Article
Copyright Copyright (c) 2020 The Author(s). Published by Vilnius Gediminas Technical University.
COPYRIGHT 2020 Vilnius Gediminas Technical University
2020. This work is published under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: Copyright (c) 2020 The Author(s). Published by Vilnius Gediminas Technical University.
– notice: COPYRIGHT 2020 Vilnius Gediminas Technical University
– notice: 2020. This work is published under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID ABJBJ
AAYXX
CITATION
3V.
7SC
7TB
7XB
8AL
8FD
8FE
8FG
8FK
8G5
ABJCF
ABUWG
AFKRA
ARAPS
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
FR3
GNUQQ
GUQSH
HCIFZ
JQ2
K7-
KR7
L6V
L7M
L~C
L~D
M0N
M2O
M7S
MBDVC
P62
PADUT
PHGZM
PHGZT
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
Q9U
DOA
DOI 10.3846/mma.2020.10801
DatabaseName VILNIUS TECH Press Open Access Scientific Journals
CrossRef
ProQuest Central (Corporate)
Computer and Information Systems Abstracts
Mechanical & Transportation Engineering Abstracts
ProQuest Central (purchase pre-March 2016)
Computing Database (Alumni Edition)
Technology Research Database
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest Central (Alumni) (purchase pre-March 2016)
ProQuest Research Library
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Central
Technology Collection
ProQuest One Community College
ProQuest Central Korea
Engineering Research Database
ProQuest Central Student
Research Library Prep
SciTech Premium Collection
ProQuest Computer Science Collection
Computer Science Database
Civil Engineering Abstracts
ProQuest Engineering Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
Computing Database
Research Collection
Engineering Database
Research Library (Corporate)
ProQuest Advanced Technologies & Aerospace Collection
Research Library China
ProQuest Central Premium
ProQuest One Academic
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
ProQuest Central Basic
DOAJ Directory of Open Access Journals
DatabaseTitle CrossRef
Research Library Prep
Computer Science Database
ProQuest Central Student
Technology Collection
Technology Research Database
Computer and Information Systems Abstracts – Academic
ProQuest One Academic Middle East (New)
Mechanical & Transportation Engineering Abstracts
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
Research Library (Alumni Edition)
ProQuest Central China
ProQuest Central
ProQuest One Applied & Life Sciences
ProQuest Engineering Collection
ProQuest Central Korea
ProQuest Research Library
Research Library China
ProQuest Central (New)
Advanced Technologies Database with Aerospace
Engineering Collection
Advanced Technologies & Aerospace Collection
Civil Engineering Abstracts
ProQuest Computing
Engineering Database
ProQuest Central Basic
ProQuest Computing (Alumni Edition)
ProQuest One Academic Eastern Edition
ProQuest Technology Collection
ProQuest SciTech Collection
Computer and Information Systems Abstracts Professional
ProQuest One Academic UKI Edition
Materials Science & Engineering Collection
Engineering Research Database
ProQuest One Academic
ProQuest One Academic (New)
ProQuest Central (Alumni)
DatabaseTitleList

Research Library Prep
CrossRef
Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
– sequence: 2
  dbid: 8FG
  name: ProQuest Technology Collection
  url: https://search.proquest.com/technologycollection1
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1648-3510
EndPage 521
ExternalDocumentID oai_doaj_org_article_5957cdf94dc44934941cbe03c19e6250
A639891366
10_3846_mma_2020_10801
oai:ojs2.journals.vilniustech.lt:article/10801
GroupedDBID .7F
.QJ
4.4
5GY
8FE
8FG
8G5
AAENE
ABCCY
ABDBF
ABFIM
ABJBJ
ABJCF
ABJNI
ABPEM
ABTAI
ABUWG
ACGFO
ACGFS
ACIWK
ACUHS
ADBBV
ADCVX
AENEX
AFKRA
AGMYJ
AIJEM
ALMA_UNASSIGNED_HOLDINGS
AMVHM
ARAPS
AVBZW
AZQEC
BCNDV
BENPR
BGLVJ
BPHCQ
CCPQU
CE4
CS3
DU5
DWQXO
EN8
ESX
E~A
E~B
GNUQQ
GROUPED_DOAJ
GTTXZ
GUQSH
H13
HCIFZ
HF~
HZ~
H~P
I-F
IAO
ITC
J.P
K6V
K7-
L6V
M2O
M7S
NA5
O9-
OK1
P2P
PADUT
PHGZM
PHGZT
PQGLB
PQQKQ
PTHSS
S-T
TDBHL
TFL
TFW
TR2
TUS
UT5
UU3
~8M
~S~
AAYXX
CITATION
PMFND
3V.
7SC
7TB
7XB
8AL
8FD
8FK
FR3
JQ2
KR7
L7M
L~C
L~D
M0N
MBDVC
P62
PKEHL
PQEST
PQUKI
PRINS
Q9U
PUEGO
ID FETCH-LOGICAL-c397t-29f9883d07f7c9acf8a4beaddbae2f3742b7b02d953dc1d12276f240a2701ffe3
IEDL.DBID BENPR
ISSN 1392-6292
IngestDate Wed Aug 27 01:30:56 EDT 2025
Fri Jul 25 12:16:02 EDT 2025
Tue Jun 10 20:50:37 EDT 2025
Tue Jul 01 04:16:27 EDT 2025
Tue Aug 12 21:21:58 EDT 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 4
Keywords re-entry
random order service
clearing function
fluid queues
abandonment
multiple server
Language English
License http://creativecommons.org/licenses/by/4.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c397t-29f9883d07f7c9acf8a4beaddbae2f3742b7b02d953dc1d12276f240a2701ffe3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-8798-8036
0000-0001-9474-2352
OpenAccessLink https://doaj.org/article/5957cdf94dc44934941cbe03c19e6250
PQID 2562795132
PQPubID 1386354
PageCount 17
ParticipantIDs doaj_primary_oai_doaj_org_article_5957cdf94dc44934941cbe03c19e6250
proquest_journals_2562795132
gale_infotracacademiconefile_A639891366
crossref_primary_10_3846_mma_2020_10801
vilnius_journals_article_10801
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 20201013
PublicationDateYYYYMMDD 2020-10-13
PublicationDate_xml – month: 10
  year: 2020
  text: 20201013
  day: 13
PublicationDecade 2020
PublicationPlace Vilnius
PublicationPlace_xml – name: Vilnius
PublicationTitle Mathematical modelling and analysis
PublicationTitleAbbrev MMA
PublicationYear 2020
Publisher Vilnius Gediminas Technical University
Publisher_xml – name: Vilnius Gediminas Technical University
References R.U. Ayres (key-10.3846/mma.2020.10801-5) 1994
R.W. Shephard (key-10.3846/mma.2020.10801-31) 2016
key-10.3846/mma.2020.10801-30
L.D. Landau (key-10.3846/mma.2020.10801-24) 2013
key-10.3846/mma.2020.10801-14
key-10.3846/mma.2020.10801-36
key-10.3846/mma.2020.10801-9
key-10.3846/mma.2020.10801-15
key-10.3846/mma.2020.10801-16
key-10.3846/mma.2020.10801-10
key-10.3846/mma.2020.10801-32
key-10.3846/mma.2020.10801-11
key-10.3846/mma.2020.10801-33
key-10.3846/mma.2020.10801-12
key-10.3846/mma.2020.10801-34
key-10.3846/mma.2020.10801-13
key-10.3846/mma.2020.10801-2
key-10.3846/mma.2020.10801-1
key-10.3846/mma.2020.10801-4
key-10.3846/mma.2020.10801-3
key-10.3846/mma.2020.10801-6
key-10.3846/mma.2020.10801-18
key-10.3846/mma.2020.10801-19
key-10.3846/mma.2020.10801-8
R.R. Nelson (key-10.3846/mma.2020.10801-27) 1982
W. Whitt. (key-10.3846/mma.2020.10801-35) 2018; 1
A. Cornish-Bowden (key-10.3846/mma.2020.10801-7) 2012
key-10.3846/mma.2020.10801-20
key-10.3846/mma.2020.10801-25
key-10.3846/mma.2020.10801-26
key-10.3846/mma.2020.10801-28
key-10.3846/mma.2020.10801-21
key-10.3846/mma.2020.10801-22
key-10.3846/mma.2020.10801-23
W.J. Hopp (key-10.3846/mma.2020.10801-17) 2008
key-10.3846/mma.2020.10801-29
References_xml – ident: key-10.3846/mma.2020.10801-14
  doi: 10.1016/j.physa.2006.01.042
– volume-title: An Evolutionary Theory of Economic Change
  year: 1982
  ident: key-10.3846/mma.2020.10801-27
– ident: key-10.3846/mma.2020.10801-34
– ident: key-10.3846/mma.2020.10801-6
  doi: 10.1007/978-3-540-68896-9
– volume-title: Statistical Physics. Part 1, volume 5 of Course of Theoretical Physics. 3rd edition
  year: 2013
  ident: key-10.3846/mma.2020.10801-24
– ident: key-10.3846/mma.2020.10801-11
  doi: 10.1002/9780470400531.eorms0329
– ident: key-10.3846/mma.2020.10801-26
  doi: 10.1016/j.heliyon.2018.e00626
– ident: key-10.3846/mma.2020.10801-33
  doi: 10.2307/3007087
– ident: key-10.3846/mma.2020.10801-1
  doi: 10.1007/978-0-85729-644-3_12
– ident: key-10.3846/mma.2020.10801-10
  doi: 10.1016/S1053-5357(01)00126-3
– ident: key-10.3846/mma.2020.10801-13
  doi: 10.1111/febs.12663
– ident: key-10.3846/mma.2020.10801-21
  doi: 10.1057/jors.1982.136
– volume-title: Theory of Cost and Production Functions
  year: 2016
  ident: key-10.3846/mma.2020.10801-31
– ident: key-10.3846/mma.2020.10801-20
  doi: 10.2307/3007650
– ident: key-10.3846/mma.2020.10801-36
  doi: 10.1287/msom.2013.0474
– volume: 1
  start-page: 79
  issue: 2
  year: 2018
  ident: key-10.3846/mma.2020.10801-35
  article-title: Time-varying queues
  publication-title: Queueing Models and Service Management
– ident: key-10.3846/mma.2020.10801-28
  doi: 10.1016/j.ejor.2017.03.013
– ident: key-10.3846/mma.2020.10801-8
  doi: 10.1007/978-3-319-23195-2
– ident: key-10.3846/mma.2020.10801-2
  doi: 10.1142/5938
– ident: key-10.3846/mma.2020.10801-9
  doi: 10.1111/j.1475-4991.2000.tb00848.x
– volume-title: Factory Physics: Foundations of Manufacturing Management. 3rd edition
  year: 2008
  ident: key-10.3846/mma.2020.10801-17
– ident: key-10.3846/mma.2020.10801-18
  doi: 10.1016/S0927-0507(05)80186-0
– ident: key-10.3846/mma.2020.10801-29
– ident: key-10.3846/mma.2020.10801-23
  doi: 10.1007/978-3-319-12316-5
– volume-title: Industrial Metabolism: Restructuring for Sustainable Developments
  year: 1994
  ident: key-10.3846/mma.2020.10801-5
– ident: key-10.3846/mma.2020.10801-19
  doi: 10.1016/0301-4622(83)85001-7
– ident: key-10.3846/mma.2020.10801-30
  doi: 10.1137/1031091
– ident: key-10.3846/mma.2020.10801-15
  doi: 10.1111/j.1475-4991.1977.tb00021.x
– ident: key-10.3846/mma.2020.10801-16
  doi: 10.1098/rsfs.2013.0077
– ident: key-10.3846/mma.2020.10801-12
  doi: 10.4159/harvard.9780674281639.c19
– volume-title: Fundamentals of Enzyme Kinetics. 4th edition
  year: 2012
  ident: key-10.3846/mma.2020.10801-7
– ident: key-10.3846/mma.2020.10801-3
  doi: 10.1137/S1540345902419616
– ident: key-10.3846/mma.2020.10801-4
  doi: 10.1287/opre.1080.0533
– ident: key-10.3846/mma.2020.10801-25
  doi: 10.1073/pnas.0610987104
– ident: key-10.3846/mma.2020.10801-32
  doi: 10.1002/9781119453765
– ident: key-10.3846/mma.2020.10801-22
SSID ssj0055280
Score 2.254292
Snippet A deterministic fluid model in the form of nonlinear ordinary differential equations is developed to provide the description for a multichannel service system...
A deterministic fluid model in the form of nonlinear ordinary differential equations is developed to provide the description for a multichannel service system...
A deterministic fluid model in the form of nonlinear ordinary differential equations is developed to provide the description for a multichannel service system...
SourceID doaj
proquest
gale
crossref
vilnius
SourceType Open Website
Aggregation Database
Index Database
Publisher
StartPage 505
SubjectTerms abandonment
clearing function
Commodities
Differential equations
Enzymes
multiple server
Operations research
Parametric analysis
Production functions
Production planning
random order service
re-entry
fluid queues
SummonAdditionalLinks – databaseName: DOAJ Directory of Open Access Journals
  dbid: DOA
  link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1NS8QwEA3iSQ_iJ65f5CB4KjaTtmlurqIsgp5c8BbyCYW1irsr7L930nR1xYMXr00hw3tJ5g1JXgg518A8ILeZZYXIigpCZkCGLGBDaSyWPibeHX54rEbj4v65fF556iueCUv2wAm4y1KWwrogC2eLQkYzFWaNz7ll0qN276p1zHnLYiqtwWUJdbofLCGrQEKya-SYbC9fOrshSKfr2I901Ln2_16bURp_NJO2mU9XUs_dNtnqNSMdplh3yJpvd8nmipPgHrka0mSnFDGfLGjTxh1072iYzBtHu_du6GugKPeoXdhJY-k0rRI0eTnvk_Hd7dPNKOsfR8gsSohZhoDKuuYuF0FYqW2odWFwWDijPQSOFa8RJgcnS-4scwxAVAHTtwaRsxA8PyDr7WvrDwlFSQCIMDMaa71acJl7gTJJGpQGPng9IBdLjNRb8sBQWDtENBWiqSKandEoG5DrCOHXX9G7uvuAjKqeUfUXo9hdJEDFGTZ711b3FwUw2OhVpYYoquLmalUNyMmSI9VPvalCDQcCdSOHATnreftuXQbRhXv0H-Eek40IQMxnjJ-Q9dn73J-iUJmZs25MfgLhk-J5
  priority: 102
  providerName: Directory of Open Access Journals
Title A biologically inspired fluid model of the cyclic service system
URI https://journals.vilniustech.lt/index.php/MMA/article/view/10801
https://www.proquest.com/docview/2562795132
https://doaj.org/article/5957cdf94dc44934941cbe03c19e6250
Volume 25
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1Lb9QwEB7R7QUOCCiIhbLyAYmT1dhO4vgEW9SlQqJCqJV6s_xEkbbZdh-V-u87ThxahMQ1TmRnxp75xmN_A_DRcBY46pY6Vkpa1jxSy1WkERsq6zD0senu8I-z-vSi_H5ZXeYNt00-VjnaxN5Q-5VLe-RH6Jq5RDgg-OfrG5qqRqXsai6hsQf7aIKbZgL7xydnP3-NtriqeDPcE1ac1lzxgbZRoNM9uupph_hwyo795ZZ69v5_bTRC5Nt22bW7zSMXtHgBzzN2JPNB2S_hSehewbNHjIIH8GVOBlqlJPvlHWm7lEkPnsTlrvWkr3tDVpEg7CPuzi1bRzaDtSADp_NruFicnH89pblIAnUIJbYUBauaRvhCRumUcbExpcXp4a0JPAqMfK20BfeqEt4xzziXdUQ3brgsWIxBvIFJt-rCWyAIDbiPilmDMV8jhSqCRLikLEKEEIOZwqdRRvp64MLQGEMkaWqUpk7S7AlH2RSOkwj_vJU4rPsHq_VvnZeErlQlHfZXeoedJJoc5mwohGMqYFRWYHdJATqttO3aOJMvDOBgE2eVniO4SknWup7C4agjnZfgRj9MmCnMst4eWsdB9MN99__v38PT9GvJYzFxCJPtehc-IBTZ2hnsNYtvszzrZn1Afw9WHt3M
linkProvider ProQuest
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9QwEB6VcgAOiKe6UIoPIE5R43ESxwcEy2PZ0seplXoz8QtFWrJlH6D9U_xGxnnQIiRuvcZJ7MyMPd_Enm8AXlTIPZJuE8szmWQFhsSgCkmghtxYCn1MzB0-PimmZ9nn8_x8C34NuTDxWOWwJrYLtZvb-I98n1wzSoIDAt9cfE9i1ai4uzqU0OjM4tBvflLItnx98IH0-xJx8vH0_TTpqwoklnzvKqGRqLIULpVBWlXZUFaZIXk6U3kMgkJFI02KTuXCWe44oiwC-b0KZcpD8ILeewNuZoLeFjPTJ5-GlT_PseyykhUmBSrsSCIFufj9by3JEXZn-vhfTrCtFfCvRyBA_qOeNfV6ecXhTe7B3R6psnFnWvdhyzcP4M4V_sKH8HbMOhKnqOnZhtVN3Lf3joXZunasrbLD5oERyGR2Y2e1ZctubWIdg_QjOLsW4T2G7Wbe-B1gBETQBcVNRRFmKYVKvSRwpgwBEh98NYJXg4z0Rce8oSliidLUJE0dpdnSm_IRvIsi_HNXZMxuL8wXX3U_AXWucmmpv8xZ6iSS8nBrfCosV55iwJS6iwrQcV6vFpWt-vQEGmxkyNJjgnJxS7coRrA76Ej3E36pL81zBHu93i5bh0G0w33y_-efw63p6fGRPjo4OXwKt-NnRl_JxS5srxZr_4xA0MrstZbH4Mt1m_pv4YwYyg
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+biologically+inspired+fluid+model+of+the+cyclic+service+system&rft.jtitle=Mathematical+modelling+and+analysis&rft.au=Kantarbayeva%2C+Aliya&rft.au=Mustafin%2C+Almaz&rft.date=2020-10-13&rft.pub=Vilnius+Gediminas+Technical+University&rft.issn=1392-6292&rft.eissn=1648-3510&rft.volume=25&rft.issue=4&rft.spage=505&rft_id=info:doi/10.3846%2Fmma.2020.10801
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1392-6292&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1392-6292&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1392-6292&client=summon