An application of interactive multi-criteria optimization to air pollution control

In this paper a problem of air pollution control is studied, posing it as a multi-objective control problem of partial differential equations. The original problem, dealing with the optimal management of a set of industrial plants inside a populated area, is formulated by means of the diffusion tran...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Optimization Ročník 64; číslo 6; s. 1367 - 1380
Hlavní autoři: Alvarez-Vázquez, L.J., García-Chan, N., Martínez, A., Vázquez-Méndez, M.E.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Philadelphia Taylor & Francis 03.06.2015
Taylor & Francis LLC
Témata:
Air pollution
Algorithms
Banach spaces
Effectiveness studies
Interactive
interactive multi-objective programming
Manufacturing engineering
Mathematical problems
Mathematical programming
Metropolitan areas
multi-objective control of partial differential equations
numerical simulation
optimal control
Optimization
Partial differential equations
Pollution control
Searching
Transport equations
Mexico
Guadalajara Mexico
ISSN:0233-1934, 1029-4945
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract In this paper a problem of air pollution control is studied, posing it as a multi-objective control problem of partial differential equations. The original problem, dealing with the optimal management of a set of industrial plants inside a populated area, is formulated by means of the diffusion transport equation, including a linear reaction term and source terms modelled by Dirac deltas. Introducing adjoint state techniques, the problem transforms into a problem of multi-objective optimization in Banach spaces, where the large number of objective functions discourages the complete search of its Pareto front. Therefore, in order to solve the problem, two interactive methods of multi-objective programming are proposed: the VIA and the STEM algorithms. Finally, the paper illustrates how to combine both algorithms to solve in a more effective way a realistic problem posed in the Metropolitan Area of Guadalajara (Mexico).
AbstractList In this paper a problem of air pollution control is studied, posing it as a multi-objective control problem of partial differential equations. The original problem, dealing with the optimal management of a set of industrial plants inside a populated area, is formulated by means of the diffusion transport equation, including a linear reaction term and source terms modelled by Dirac deltas. Introducing adjoint state techniques, the problem transforms into a problem of multi-objective optimization in Banach spaces, where the large number of objective functions discourages the complete search of its Pareto front. Therefore, in order to solve the problem, two interactive methods of multi-objective programming are proposed: the VIA and the STEM algorithms. Finally, the paper illustrates how to combine both algorithms to solve in a more effective way a realistic problem posed in the Metropolitan Area of Guadalajara (Mexico).
Author García-Chan, N.
Martínez, A.
Vázquez-Méndez, M.E.
Alvarez-Vázquez, L.J.
Author_xml – sequence: 1
  givenname: L.J.
  surname: Alvarez-Vázquez
  fullname: Alvarez-Vázquez, L.J.
  organization: Departamento de Matemática Aplicada II, E.I. Telecomunicación, Universidad de Vigo
– sequence: 2
  givenname: N.
  surname: García-Chan
  fullname: García-Chan, N.
  organization: Departamento de Física, C.U.C. Exactas e Ingenierías, Universidad de Guadalajara
– sequence: 3
  givenname: A.
  surname: Martínez
  fullname: Martínez, A.
  organization: Departamento de Matemática Aplicada II, E.I. Telecomunicación, Universidad de Vigo
– sequence: 4
  givenname: M.E.
  surname: Vázquez-Méndez
  fullname: Vázquez-Méndez, M.E.
  email: miguelernesto.vazquez@usc.es
  organization: Departamento de Matemática Aplicada, E.P.S. Universidad de Santiago de Compostela
BookMark eNqN0U1LHTEUBuAgCl5t_4GLATdu5jbfk3QjIq0tCIVi1-HcmEAkk4xJpsX--s51dOOi7SpweN4DOe8JOkw5OYTOCN4SrPAHTBkjmvEtxYRvtSCY8wO0IZjqnmsuDtFmT_q9OUYntT5gTImkfIO-X6UOpikGCy3k1GXfhdRcAdvCT9eNc2yhtyUsowBdnloYw--VttxBKN2UY5yfBzanVnJ8h448xOrev7yn6MfnT3fXX_rbbzdfr69ueyswb71zO7lTVBMAa4mjGEu140KRe-mlBw7MgeAUpJNEWSmo5AIGD1pjJ6VX7BRdrHunkh9nV5sZQ7UuRkguz9UQqcQwMDzw_6HLydQg5ELP39CHPJe0fGRRUiuJmWaL4quyJddanDdTCSOUJ0Ow2XdiXjsx-07M2skS-_gmZkN7vmYrEOK_wpdrOCSfywi_con3psFTzMUXSDZUw_664Q_zrKYb
CODEN OPTZDQ
CitedBy_id crossref_primary_10_1007_s11081_021_09636_w
crossref_primary_10_1007_s11081_024_09894_4
crossref_primary_10_1016_j_camwa_2018_06_021
crossref_primary_10_1016_j_forpol_2021_102687
crossref_primary_10_1080_15567036_2020_1830203
crossref_primary_10_1007_s10666_016_9537_z
Cites_doi 10.1090/mmono/023
10.1007/BF01719738
10.1016/j.jfranklin.2013.11.005
10.1137/S0363012995283637
10.1142/S0218202505000790
10.1137/S0363012998345640
10.1007/978-1-4615-5563-6
10.1016/j.cam.2012.06.039
10.1007/978-3-662-22199-0
10.1007/s10661-005-8040-9
10.1007/978-3-540-88908-3
10.1007/978-3-662-02473-7_4
10.1007/s10107-004-0560-5
10.1016/j.cam.2009.08.076
10.1051/cocv:2008019
10.1137/S1052623497325107
10.1016/0377-2217(86)90050-0
10.1016/S0304-3800(03)00191-1
10.1007/BF01584098
10.1007/s10589-008-9190-9
ContentType Journal Article
Copyright 2014 Taylor & Francis 2014
Copyright Taylor & Francis Group 2015
Copyright_xml – notice: 2014 Taylor & Francis 2014
– notice: Copyright Taylor & Francis Group 2015
DBID AAYXX
CITATION
7SC
7TB
8FD
FR3
H8D
JQ2
L7M
L~C
L~D
7TV
C1K
KR7
DOI 10.1080/02331934.2014.951044
DatabaseName CrossRef
Computer and Information Systems Abstracts
Mechanical & Transportation Engineering Abstracts
Technology Research Database
Engineering Research Database
Aerospace Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
Pollution Abstracts
Environmental Sciences and Pollution Management
Civil Engineering Abstracts
DatabaseTitle CrossRef
Aerospace Database
Technology Research Database
Computer and Information Systems Abstracts – Academic
Mechanical & Transportation Engineering Abstracts
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
Engineering Research Database
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts Professional
Pollution Abstracts
Environmental Sciences and Pollution Management
Civil Engineering Abstracts
DatabaseTitleList Aerospace Database

Pollution Abstracts
Aerospace Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1029-4945
EndPage 1380
ExternalDocumentID 3645929141
10_1080_02331934_2014_951044
951044
Genre Article
Feature
GeographicLocations Mexico
Guadalajara Mexico
GeographicLocations_xml – name: Guadalajara Mexico
– name: Mexico
GroupedDBID .7F
.DC
.QJ
0BK
0R~
123
29N
30N
4.4
5VS
AAENE
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
ABCCY
ABFIM
ABHAV
ABJNI
ABLIJ
ABPAQ
ABPEM
ABTAI
ABXUL
ABXYU
ACGEJ
ACGFS
ACIWK
ACTIO
ADCVX
ADGTB
ADXPE
AEISY
AENEX
AEOZL
AEPSL
AEYOC
AFKVX
AFRVT
AGDLA
AGMYJ
AHDZW
AIJEM
AIYEW
AJWEG
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AMVHM
AQRUH
AQTUD
AVBZW
AWYRJ
BLEHA
CCCUG
CE4
CS3
DKSSO
DU5
EBS
EJD
E~A
E~B
GTTXZ
H13
HF~
HZ~
H~P
IPNFZ
J.P
KYCEM
M4Z
NA5
O9-
P2P
PQQKQ
RIG
RNANH
ROSJB
RTWRZ
S-T
SNACF
TASJS
TBQAZ
TDBHL
TEJ
TFL
TFT
TFW
TTHFI
TUROJ
TWF
UT5
UU3
ZGOLN
~S~
AAYXX
CITATION
7SC
7TB
8FD
FR3
H8D
JQ2
L7M
L~C
L~D
7TV
C1K
KR7
ID FETCH-LOGICAL-c504t-eeb6b8291aacc1e20068b4581d6f6fa4a3ea542a6e618c652645a7fa990e66f83
IEDL.DBID TFW
ISICitedReferencesCount 7
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000351771400001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0233-1934
IngestDate Sun Nov 09 13:47:38 EST 2025
Tue Oct 07 09:37:26 EDT 2025
Mon Nov 10 03:08:32 EST 2025
Sat Nov 29 06:01:39 EST 2025
Tue Nov 18 20:48:59 EST 2025
Mon Oct 20 23:39:09 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 6
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c504t-eeb6b8291aacc1e20068b4581d6f6fa4a3ea542a6e618c652645a7fa990e66f83
Notes SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-1
ObjectType-Feature-2
content type line 23
PQID 1669860393
PQPubID 27961
PageCount 14
ParticipantIDs proquest_journals_1669860393
informaworld_taylorfrancis_310_1080_02331934_2014_951044
crossref_citationtrail_10_1080_02331934_2014_951044
crossref_primary_10_1080_02331934_2014_951044
proquest_miscellaneous_1680448756
proquest_miscellaneous_1685773074
PublicationCentury 2000
PublicationDate 2015-06-03
PublicationDateYYYYMMDD 2015-06-03
PublicationDate_xml – month: 06
  year: 2015
  text: 2015-06-03
  day: 03
PublicationDecade 2010
PublicationPlace Philadelphia
PublicationPlace_xml – name: Philadelphia
PublicationTitle Optimization
PublicationYear 2015
Publisher Taylor & Francis
Taylor & Francis LLC
Publisher_xml – name: Taylor & Francis
– name: Taylor & Francis LLC
References CIT0021
CIT0020
Marchuk GI (CIT0001) 1986
Ehrgott M (CIT0012) 2005
Miettinen KM (CIT0011) 1999
CIT0003
CIT0014
CIT0002
CIT0013
CIT0005
CIT0016
CIT0004
CIT0015
CIT0007
CIT0018
CIT0006
Ladyzenskaja AO (CIT0010) 1968
CIT0017
CIT0009
CIT0008
CIT0019
References_xml – volume-title: Linear and quasilinear equations of parabolic type
  year: 1968
  ident: CIT0010
  doi: 10.1090/mmono/023
– ident: CIT0016
  doi: 10.1007/BF01719738
– volume-title: Mathematical models in environmental problems
  year: 1986
  ident: CIT0001
– ident: CIT0002
  doi: 10.1016/j.jfranklin.2013.11.005
– ident: CIT0008
  doi: 10.1137/S0363012995283637
– ident: CIT0007
  doi: 10.1142/S0218202505000790
– ident: CIT0009
  doi: 10.1137/S0363012998345640
– volume-title: Nonlinear multiobjective optimization
  year: 1999
  ident: CIT0011
  doi: 10.1007/978-1-4615-5563-6
– ident: CIT0014
  doi: 10.1016/j.cam.2012.06.039
– volume-title: Multicriteria optimization
  year: 2005
  ident: CIT0012
  doi: 10.1007/978-3-662-22199-0
– ident: CIT0004
  doi: 10.1007/s10661-005-8040-9
– ident: CIT0021
  doi: 10.1007/978-3-540-88908-3
– ident: CIT0015
  doi: 10.1007/978-3-662-02473-7_4
– ident: CIT0019
  doi: 10.1007/s10107-004-0560-5
– ident: CIT0006
  doi: 10.1016/j.cam.2009.08.076
– ident: CIT0013
  doi: 10.1051/cocv:2008019
– ident: CIT0018
  doi: 10.1137/S1052623497325107
– ident: CIT0017
  doi: 10.1016/0377-2217(86)90050-0
– ident: CIT0003
  doi: 10.1016/S0304-3800(03)00191-1
– ident: CIT0020
  doi: 10.1007/BF01584098
– ident: CIT0005
  doi: 10.1007/s10589-008-9190-9
SSID ssj0021624
Score 2.044829
Snippet In this paper a problem of air pollution control is studied, posing it as a multi-objective control problem of partial differential equations. The original...
SourceID proquest
crossref
informaworld
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1367
SubjectTerms Air pollution
Algorithms
Banach spaces
Effectiveness studies
Interactive
interactive multi-objective programming
Manufacturing engineering
Mathematical problems
Mathematical programming
Metropolitan areas
multi-objective control of partial differential equations
numerical simulation
optimal control
Optimization
Partial differential equations
Pollution control
Searching
Transport equations
Title An application of interactive multi-criteria optimization to air pollution control
URI https://www.tandfonline.com/doi/abs/10.1080/02331934.2014.951044
https://www.proquest.com/docview/1669860393
https://www.proquest.com/docview/1680448756
https://www.proquest.com/docview/1685773074
Volume 64
WOSCitedRecordID wos000351771400001&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: PRVAWR
  databaseName: Taylor and Francis Online Journals
  customDbUrl:
  eissn: 1029-4945
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0021624
  issn: 0233-1934
  databaseCode: TFW
  dateStart: 19850101
  isFulltext: true
  titleUrlDefault: https://www.tandfonline.com
  providerName: Taylor & Francis
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3dS8MwEA8yfNAHv8XplAi-Vpc2TdPHIQ4fZIhM3VtJswQG2o6t29_vXdqODnGCPrbNlXCX-0hy9ztCbpTWXctAAjbW3ONpKr1UcQjkFAS34BLGvmvT-fYUDQZyNIqfG1X8mFaJe2hbAkU4W43KrdJ5nRF3B24GFk6AJyKM32KIwBEQFAJ7zOkb9t9XOy4mXFdbJPCQoq6d--Ena75pDbn0m6V27qe___-JH5C9KvSkvXKtHJItkx2R3QYg4TF56WW0caVNc0sRT8JVUi0NddmHHtgZBHhWNAdz81nVcdIip2oyo1NsnexeVEnwJ-S1_zC8f_SqrgueDru88IxJRSr9mCmQIzN45CBTHkJcK6ywiqvAqJD7ShjBpBYhRFShiqwCt2aEsDI4Ja0sz8wZoX4aCtgu6ki4282xjLiOGObUcSuUidskqPmd6AqSHDtjfCSsRi6tOJYgx5KSY23iraimJSTHL-NlU5RJ4Y5CbNm3JAk2k3ZqsSeVbs8TJkQsBdY0t8n16jNoJV61qMzkCxwjgRz2gmLjmDACAxvx87_P8ILswFPokteCDmkVs4W5JNt6WUzmsyunDV8qSQSY
linkProvider Taylor & Francis
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrR1dSxwxcLBaqD60tiqetZqCr1vNbTabfZTSQ_E8RM6Pt5CNCQi6K3erv9-ZbPY4KVoovm4yS5jJfGY-APaMtQeeIwV8YUUiylIlpRFoyBk0blEl3PTDmM7LYT4aqevr4ixmE05jWiX50L5tFBFkNTE3BaO7lLh91DN4c1IKiXDxi2wEIT7AEg2nI_9rPLia-Vxchrm2BJEQSFc998pfXminF71L_5LVQQENvrzD0Vfhc7Q-2WF7Xb7Cgqu-wcpcT8I1OD-s2NyrNqs9o5YSoZjqybGQgJigqKEez4bVKHHuYykna2pmbifsgaYnhw8xD34dLgZ_xr-Pkjh4IbHZgWgS50pZqn7BDZKSO4o6qFJkaNpKL70RJnUmE30jneTKygyNqszk3qBmc1J6lW7AYlVXbhNYv8wkeow2l-GB80blwuac0uqEl8YVPUg7hGsbu5LTcIw7zbvmpRFjmjCmW4z1IJlBPbRdOf6xX83TUjchGuLb0SU6fRt0u6O7juw91VzKQkkqa-7Bz9kyMia9tpjK1Y-0RyE4uoPyzT1ZjjI2F1v_f8Jd-HQ0Ph3q4fHo5Dss40oWctnSbVhsJo_uB3y0T83tdLITWOMZmJMIuw
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3dSxwxEB-sSrEPWqvitdpG6OtWc5tks49SPRTlkOLXW8jmEhB09zhX_35nsrvHiWhBXzeZsGQyX8nMbwB-W-f2AkcOhNyJRBSFTgor0JGz6NyiSRj1Y5vOy9NsONTX1_nZTBU_pVVSDB0aoIioq0m4x6PQZcTtopnBg5PSjQgXf8hFEOITLODiks71-eBqGnJxFdvaEkVCJF3x3CurPDNOz6BLX6jqaH8GKx__86-w3PqebL85LKsw58tv8GUGkXAN_u2XbOZNm1WBEaBELKV69CymHyaoaAjh2bIK9c1dW8jJ6orZmwkbU-_k-KHNgl-Hi8Hh-d-jpG27kDi5J-rE-0IVup9zi4zknu4cdCEkOrYqqGCFTb2Vom-VV1w7JdGlkjYLFu2aVyrodAPmy6r0m8D6hVQYL7pMxefNkc6Eyzgl1YmgrM97kHb7bVyLSU6tMW4N76BL2x0ztGOm2bEeJFOqcYPJ8Z_5epaVpo53IaFpXGLSt0m3OrabVrjvDVcq14qKmnuwMx1GsaS3Flv66oHmaCTHYFC9OUdmqGEz8f39f_gLPp8dDMzp8fDkByzhgIyJbOkWzNeTB78Ni-6xvrmf_IyC8QRqZQdt
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=An+application+of+interactive+multi-criteria+optimization+to+air+pollution+control&rft.jtitle=Optimization&rft.au=Alvarez-V%C3%A1zquez%2C+L.J.&rft.au=Garc%C3%ADa-Chan%2C+N.&rft.au=Mart%C3%ADnez%2C+A.&rft.au=V%C3%A1zquez-M%C3%A9ndez%2C+M.E.&rft.date=2015-06-03&rft.pub=Taylor+%26+Francis&rft.issn=0233-1934&rft.eissn=1029-4945&rft.volume=64&rft.issue=6&rft.spage=1367&rft.epage=1380&rft_id=info:doi/10.1080%2F02331934.2014.951044&rft.externalDocID=951044
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0233-1934&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0233-1934&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0233-1934&client=summon