Roman domination problem with uncertain positioning and deployment costs
In a connected simple graph, the weighted Roman domination problem is considered at which the cost of positioning at each vertex is imposed in addition to the costs of potential deployments from a vertex to some of its neighboring vertices. Proper decision in practice is prone to a high degree of in...
Saved in:
| Published in | Soft computing (Berlin, Germany) Vol. 24; no. 4; pp. 2637 - 2645 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.02.2020
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | In a connected simple graph, the weighted Roman domination problem is considered at which the cost of positioning at each vertex is imposed in addition to the costs of potential deployments from a vertex to some of its neighboring vertices. Proper decision in practice is prone to a high degree of indeterminacy, mostly raised by unpredictable events that do not obey the rules and prerequisites of the probability theory. In this study, we model this problem with such assumptions in the context of the uncertainty theory initiated by Liu (Uncertainty theory. Studies in fuzziness and soft computing, Springer, Berlin,
2007
). Two different optimization models are presented, and a concrete example is provided for illustrative purposes. Weaknesses of the probability theory and fuzzy theory in dealing with this problem are also mentioned in detail. |
|---|---|
| AbstractList | In a connected simple graph, the weighted Roman domination problem is considered at which the cost of positioning at each vertex is imposed in addition to the costs of potential deployments from a vertex to some of its neighboring vertices. Proper decision in practice is prone to a high degree of indeterminacy, mostly raised by unpredictable events that do not obey the rules and prerequisites of the probability theory. In this study, we model this problem with such assumptions in the context of the uncertainty theory initiated by Liu (Uncertainty theory. Studies in fuzziness and soft computing, Springer, Berlin, 2007). Two different optimization models are presented, and a concrete example is provided for illustrative purposes. Weaknesses of the probability theory and fuzzy theory in dealing with this problem are also mentioned in detail. In a connected simple graph, the weighted Roman domination problem is considered at which the cost of positioning at each vertex is imposed in addition to the costs of potential deployments from a vertex to some of its neighboring vertices. Proper decision in practice is prone to a high degree of indeterminacy, mostly raised by unpredictable events that do not obey the rules and prerequisites of the probability theory. In this study, we model this problem with such assumptions in the context of the uncertainty theory initiated by Liu (Uncertainty theory. Studies in fuzziness and soft computing, Springer, Berlin, 2007 ). Two different optimization models are presented, and a concrete example is provided for illustrative purposes. Weaknesses of the probability theory and fuzzy theory in dealing with this problem are also mentioned in detail. |
| Author | Ghaffari-Hadigheh, Alireza |
| Author_xml | – sequence: 1 givenname: Alireza orcidid: 0000-0003-4537-2767 surname: Ghaffari-Hadigheh fullname: Ghaffari-Hadigheh, Alireza email: Hadigheha@azaruniv.ac.ir organization: Department of Applied Mathematics, Azarbaijan Shahid Madani University |
| BookMark | eNp9UE1LAzEQDVLBtvoHPC14jk42SZM9SlErFATpPaRJtqZ0k5pskfbXm7qCN0_zmPcxw5ugUYjBIXRL4J4AiIcMwAEwkAYDlYTg0wUaE0YpFkw0ox9cYzFj9ApNct4C1ERwOkaL99jpUNnY-aB7H0O1T3G9c1315fuP6hCMS732ZR2zP_M-bCodbGXdfhePnQt9ZWLu8zW6bPUuu5vfOUWr56fVfIGXby-v88clNoyQHkvDWy0FWAaw5oQR7cRaGlM3BTHB65kGa43kVtq25dLUrrXCGCYLQwSdorshtrz5eXC5V9t4SKFcVCVCNDCjvC6qelCZFHNOrlX75DudjoqAOhemhsJUKUz9FKZOxUQHUy7isHHpL_of1zfq3HGj |
| CitedBy_id | crossref_primary_10_1007_s00500_020_04702_4 crossref_primary_10_1007_s00500_023_07893_8 |
| Cites_doi | 10.1007/978-3-540-89484-1 10.1080/00029890.2000.12005243 10.2298/PIM1613051I 10.1007/978-3-642-13959-8 10.1016/j.disc.2011.12.021 10.1007/s00500-016-2404-7 10.1007/978-3-319-26718-0 10.1137/070699688 10.1007/978-3-662-44354-5 10.1186/2195-5468-2-5 10.1155/2014/307108 10.1038/scientificamerican1299-136 10.1007/978-3-642-12189-0_40 10.1007/s10479-017-2652-7 10.1007/s10700-017-9276-x 10.37236/2595 |
| ContentType | Journal Article |
| Copyright | The Author(s) 2019 The Author(s) 2019. This work is published under http://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: The Author(s) 2019 – notice: The Author(s) 2019. This work is published under http://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 | C6C AAYXX CITATION 8FE 8FG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO GNUQQ HCIFZ JQ2 K7- P5Z P62 PQEST PQQKQ PQUKI |
| DOI | 10.1007/s00500-019-03811-z |
| DatabaseName | SpringerOpen CrossRef ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Korea ProQuest Central Student SciTech Premium Collection ProQuest Computer Science Collection Computer Science Database Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition |
| DatabaseTitle | CrossRef Advanced Technologies & Aerospace Collection Computer Science Database ProQuest Central Student Technology Collection ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection ProQuest One Academic Eastern Edition SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition ProQuest Central Korea ProQuest One Academic |
| DatabaseTitleList | Advanced Technologies & Aerospace Collection |
| Database_xml | – sequence: 1 dbid: C6C name: SpringerOpen url: http://www.springeropen.com/ sourceTypes: Publisher – sequence: 2 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Computer Science |
| EISSN | 1433-7479 |
| EndPage | 2645 |
| ExternalDocumentID | 10_1007_s00500_019_03811_z |
| GroupedDBID | -5B -5G -BR -EM -Y2 -~C .86 .VR 06D 0R~ 0VY 1N0 1SB 203 29~ 2J2 2JN 2JY 2KG 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5VS 67Z 6NX 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AAFGU AAHNG AAIAL AAJKR AANZL AAPBV AARHV AARTL AATNV AATVU AAUYE AAWCG AAYFA AAYIU AAYQN AAYTO ABBBX ABBXA ABDZT ABECU ABFGW ABFTD ABFTV ABHLI ABHQN ABJNI ABJOX ABKAS ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACBMV ACBRV ACBXY ACBYP ACGFS ACHSB ACHXU ACIGE ACIPQ ACKNC ACMDZ ACMLO ACOKC ACOMO ACSNA ACTTH ACVWB ACWMK ADHHG ADHIR ADINQ ADKNI ADKPE ADMDM ADOXG ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFTE AEGAL AEGNC AEJHL AEJRE AEKMD AENEX AEOHA AEPYU AESKC AESTI AETLH AEVLU AEVTX AEXYK AFGCZ AFLOW AFNRJ AFQWF AFWTZ AFZKB AGAYW AGDGC AGGBP AGGDS AGJBK AGMZJ AGQMX AGWIL AGWZB AGYKE AHAVH AHBYD AHSBF AHYZX AIAKS AIIXL AILAN AIMYW AITGF AJBLW AJDOV AJRNO AJZVZ AKQUC ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN B-. BA0 BDATZ BGNMA C6C CAG COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 EBLON EBS EIOEI EJD ESBYG FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 GQ8 GXS HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I09 IHE IJ- IKXTQ IWAJR IXC IXD IXE IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ KDC KOV LAS LLZTM M4Y MA- N2Q NB0 NPVJJ NQJWS NU0 O9- O93 O9J OAM P2P P9P PF0 PT4 PT5 QOS R89 R9I RIG RNI ROL RPX RSV RZK S16 S1Z S27 S3B SAP SDH SEG SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 TSG TSK TSV TUC U2A UG4 UNUBA UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR Z45 Z5O Z7R Z7S Z7X Z7Y Z7Z Z81 Z83 Z85 Z88 ZMTXR AACDK AAJBT AASML AAYXX ABAKF ACAOD ACDTI ACZOJ AEFQL AEMSY AFBBN AFKRA AGQEE AGRTI AIGIU ARAPS BENPR BGLVJ CCPQU CITATION H13 HCIFZ K7- 8FE 8FG AZQEC DWQXO GNUQQ JQ2 P62 PQEST PQQKQ PQUKI |
| ID | FETCH-LOGICAL-c411t-8c5fa870d400b5141ae7b8cc291ae47526a0ddc85d8dff58c2efd7cc4826a173 |
| IEDL.DBID | BENPR |
| ISSN | 1432-7643 |
| IngestDate | Thu Oct 10 22:02:05 EDT 2024 Thu Sep 12 19:02:47 EDT 2024 Sat Dec 16 12:02:09 EST 2023 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 4 |
| Keywords | Integer linear programming Positioning and deployment costs Uncertain variable Roman-dominating set problem Uncertainty theory |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c411t-8c5fa870d400b5141ae7b8cc291ae47526a0ddc85d8dff58c2efd7cc4826a173 |
| ORCID | 0000-0003-4537-2767 |
| OpenAccessLink | https://proxy.k.utb.cz/login?url=http://link.springer.com/10.1007/s00500-019-03811-z |
| PQID | 2917906352 |
| PQPubID | 2043697 |
| PageCount | 9 |
| ParticipantIDs | proquest_journals_2917906352 crossref_primary_10_1007_s00500_019_03811_z springer_journals_10_1007_s00500_019_03811_z |
| PublicationCentury | 2000 |
| PublicationDate | 2020-02-01 |
| PublicationDateYYYYMMDD | 2020-02-01 |
| PublicationDate_xml | – month: 02 year: 2020 text: 2020-02-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | Berlin/Heidelberg |
| PublicationPlace_xml | – name: Berlin/Heidelberg – name: Heidelberg |
| PublicationSubtitle | A Fusion of Foundations, Methodologies and Applications |
| PublicationTitle | Soft computing (Berlin, Germany) |
| PublicationTitleAbbrev | Soft Comput |
| PublicationYear | 2020 |
| Publisher | Springer Berlin Heidelberg Springer Nature B.V |
| Publisher_xml | – name: Springer Berlin Heidelberg – name: Springer Nature B.V |
| References | CockayneEJGrundlinghWRMynhardtCMvan VuurenJBurgerAPWinterbachWInfinite order domination in graphs,Journal of Combinatorial Mathematics and Combinatorial Computing20045017919420758661052.05054 LiuBUncertainty theory20155BerlinSpringer1309.28001 LiowLiuBUncertain data envelopment analysis with imprecisely observed inputs and outputsFuzzy Optim Decis Mak201717357373383368710.1007/s10700-017-9276-x ReVelleCSRosingKEDefendens imperium romanum: a classical problem in military strategyAm Math Mon20001077585594178623210.1080/00029890.2000.12005243 Burger AP, De Villiers AP, Van Vuuren JH (2013) A binary programming approach towards achieving effective graph protection. In: Proceedings of 2013 ORSSA annual conference ORSSA, pp 19–30 Kang R, Wen M, Guo L, Yang Y (2014) Data envelopment analysis with uncertain inputs and outputs, J Appl Math, 2014, 7 pages, Article ID 307108 Wu J, Li H (2000) Domination and its applications in ad hoc wireless networks with unidirectional links, parallel processing, 2000. In: Proceedings of 2000 international conference on IEEE, pp 189–197 StewartIDefend the roman empire!Sci Am1999281613613810.1038/scientificamerican1299-136 IvanovićMImproved mixed integer linear programing formulations for roman domination problemPublications de l’Institut Mathematique2016991135158352402910.2298/PIM1613051I DjahangiriMGhaffari-HadighehAUncertain weighted dominating set: a prototype application on natural disaster relief managementSoft Comput20182231003101210.1007/s00500-016-2404-7 LiuC-HChangGJUpper bounds on roman domination numbers of graphsDiscrete Math2012312713861391288592110.1016/j.disc.2011.12.021 WangXPengZMethod of moments for estimating uncertainty distributionsJ Uncertain Anal Appl201421510.1186/2195-5468-2-5 LiuBSome research problems in uncertainty theoryJ Uncertain Syst20093310 BiswasRIs fuzzy theory an appropriate tool for large size problems?2016ChamSpringer16110.1007/978-3-319-26718-0 Ghaffari-HadighehAlirezaDjahangiriMehdiSemidefinite relaxation for dominating setIran J Oper Res20156153641398.90068 LiuBUncertainty theory. Studies in fuzziness and soft computing20072BerlinSpringer WangXGaoZGuoHDelphi method for estimating uncertainty distributionsInf Int Interdiscip J201215244946029529281323.62009 Hedar A-R, Ismail R (2010) Hybrid genetic algorithm for minimum dominating set problem. In: International conference on computational science and its applications, pp 457–467. Springer NejadZMGhaffari-HadighehAA novel dea model based on uncertainty theoryAnn Oper Res20182641–2367389378313710.1007/s10479-017-2652-7 LiuBUncertainty theory: a branch of mathematics for modeling human uncertainty2010BerlinSpringer10.1007/978-3-642-13959-8 LiuBLiuBTheory and practice of uncertain programming2009BerlinSpringer10.1007/978-3-540-89484-1 PavličPŽerovnikJRoman domination number of the Cartesian products of paths and cyclesElectron J Comb20121931929672241252.05167 ChambersEKinnersleyBPrinceNWestDExtremal problems for roman dominationSIAM J Discrete Math200923315751586255655010.1137/070699688 B Liu (3811_CR10) 2007 R Biswas (3811_CR1) 2016 3811_CR16 B Liu (3811_CR11) 2009; 3 X Wang (3811_CR21) 2012; 15 X Wang (3811_CR22) 2014; 2 3811_CR23 CS ReVelle (3811_CR19) 2000; 107 w Lio (3811_CR9) 2017; 17 ZM Nejad (3811_CR17) 2018; 264 B Liu (3811_CR12) 2010 B Liu (3811_CR13) 2015 B Liu (3811_CR14) 2009 C-H Liu (3811_CR15) 2012; 312 E Chambers (3811_CR4) 2009; 23 Alireza Ghaffari-Hadigheh (3811_CR6) 2015; 6 P Pavlič (3811_CR18) 2012; 19 M Ivanović (3811_CR8) 2016; 99 3811_CR7 3811_CR2 M Djahangiri (3811_CR5) 2018; 22 I Stewart (3811_CR20) 1999; 281 EJ Cockayne (3811_CR3) 2004; 50 |
| References_xml | – volume: 15 start-page: 449 issue: 2 year: 2012 ident: 3811_CR21 publication-title: Inf Int Interdiscip J contributor: fullname: X Wang – volume-title: Theory and practice of uncertain programming year: 2009 ident: 3811_CR14 doi: 10.1007/978-3-540-89484-1 contributor: fullname: B Liu – volume: 107 start-page: 585 issue: 7 year: 2000 ident: 3811_CR19 publication-title: Am Math Mon doi: 10.1080/00029890.2000.12005243 contributor: fullname: CS ReVelle – ident: 3811_CR23 – volume: 99 start-page: 51 issue: 113 year: 2016 ident: 3811_CR8 publication-title: Publications de l’Institut Mathematique doi: 10.2298/PIM1613051I contributor: fullname: M Ivanović – volume-title: Uncertainty theory: a branch of mathematics for modeling human uncertainty year: 2010 ident: 3811_CR12 doi: 10.1007/978-3-642-13959-8 contributor: fullname: B Liu – volume: 312 start-page: 1386 issue: 7 year: 2012 ident: 3811_CR15 publication-title: Discrete Math doi: 10.1016/j.disc.2011.12.021 contributor: fullname: C-H Liu – volume: 22 start-page: 1003 issue: 3 year: 2018 ident: 3811_CR5 publication-title: Soft Comput doi: 10.1007/s00500-016-2404-7 contributor: fullname: M Djahangiri – start-page: 1 volume-title: Is fuzzy theory an appropriate tool for large size problems? year: 2016 ident: 3811_CR1 doi: 10.1007/978-3-319-26718-0 contributor: fullname: R Biswas – volume: 23 start-page: 1575 issue: 3 year: 2009 ident: 3811_CR4 publication-title: SIAM J Discrete Math doi: 10.1137/070699688 contributor: fullname: E Chambers – volume-title: Uncertainty theory year: 2015 ident: 3811_CR13 doi: 10.1007/978-3-662-44354-5 contributor: fullname: B Liu – volume: 2 start-page: 5 issue: 1 year: 2014 ident: 3811_CR22 publication-title: J Uncertain Anal Appl doi: 10.1186/2195-5468-2-5 contributor: fullname: X Wang – volume-title: Uncertainty theory. Studies in fuzziness and soft computing year: 2007 ident: 3811_CR10 contributor: fullname: B Liu – ident: 3811_CR16 doi: 10.1155/2014/307108 – volume: 281 start-page: 136 issue: 6 year: 1999 ident: 3811_CR20 publication-title: Sci Am doi: 10.1038/scientificamerican1299-136 contributor: fullname: I Stewart – volume: 6 start-page: 53 issue: 1 year: 2015 ident: 3811_CR6 publication-title: Iran J Oper Res contributor: fullname: Alireza Ghaffari-Hadigheh – ident: 3811_CR2 – ident: 3811_CR7 doi: 10.1007/978-3-642-12189-0_40 – volume: 264 start-page: 367 issue: 1–2 year: 2018 ident: 3811_CR17 publication-title: Ann Oper Res doi: 10.1007/s10479-017-2652-7 contributor: fullname: ZM Nejad – volume: 50 start-page: 179 year: 2004 ident: 3811_CR3 publication-title: Journal of Combinatorial Mathematics and Combinatorial Computing contributor: fullname: EJ Cockayne – volume: 17 start-page: 357 year: 2017 ident: 3811_CR9 publication-title: Fuzzy Optim Decis Mak doi: 10.1007/s10700-017-9276-x contributor: fullname: w Lio – volume: 3 start-page: 3 year: 2009 ident: 3811_CR11 publication-title: J Uncertain Syst contributor: fullname: B Liu – volume: 19 start-page: 19 issue: 3 year: 2012 ident: 3811_CR18 publication-title: Electron J Comb doi: 10.37236/2595 contributor: fullname: P Pavlič |
| SSID | ssj0021753 |
| Score | 2.2830586 |
| Snippet | In a connected simple graph, the weighted Roman domination problem is considered at which the cost of positioning at each vertex is imposed in addition to the... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Publisher |
| StartPage | 2637 |
| SubjectTerms | Apexes Artificial Intelligence Computational Intelligence Construction costs Control Disaster recovery Engineering Fire stations Focus Linear programming Mathematical Logic and Foundations Mechatronics Optimization Optimization models Probability theory Provinces Robotics Soft computing Uncertainty Wireless networks |
| SummonAdditionalLinks | – databaseName: SpringerLINK - Czech Republic Consortium dbid: AGYKE link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV07T8MwED5Bu8BAoYAoFOSBDVw1idPYY4VaKhAMqEhlihI_FkSCaLr013NOnJbn0C1SYiu58-U--767A7hUXCiuI0EDkTDKUqGo6BtN-yrhoWEBS42N6D48DibP7G4WztZ53CXZvY5Ilj_qVa6brVRiOVSC2uCWR5fb0HSJp83h7cv9aLXPcsUnEQkgeESP63Jl_p7luz9ag8wfcdHS3YxbMK2TdiqWyWtvUaQ9ufxdw3GTL9mHPQc_ybBaLwewpbM2tOrWDsRZeht2v9QpPITJU_6WZETlljdjNUlcHxpij3EJusaKWEBqChiOIkmmiNK2n7A9gCQynxfzI5iOR9ObCXUtGKhknldQLkOToEkrNPUUsZWX6CjlUvoCr1gU-oOkr5TkoeLKmJBLXxsVSclw15J4UXAMjSzP9AmQNOADhdhCCsZwSejUoB_00UXbELiRsgNXtR7i96rQRrwqqVxKLEaJxaXE4mUHurWqYmd08xhfKhIIuUK_A9e16Ne3_5_tdLPHz2DHt7vukrvdhUbxsdDnCE2K9MItxU_x4dt9 priority: 102 providerName: Springer Nature |
| Title | Roman domination problem with uncertain positioning and deployment costs |
| URI | https://link.springer.com/article/10.1007/s00500-019-03811-z https://www.proquest.com/docview/2917906352 |
| Volume | 24 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3NT8IwFH9RuHjx24gi6cGbNrLRbd3JAGEQjcQQSPC0dP24uaHghb_e19FBNNHLdmjSJb-u_f3eR98DuFU8VlxHMe3EglGWxYrGbaNpWwkeGNZhmbER3ZdxOJqxp3kwdw63pUurrM7E8qBWhbQ-8gc_trWkkB79x8UHtV2jbHTVtdDYh7qPlkK7BvXeYPw62Zpcrg4ligLUkUi-7tpMeXnOlj6xSVkxtdEyj65_UtNOb_4KkZbMkxzDoZOMpLtZ4xPY0_kpHFXtGIjbnWcwmhTvIieqsNktFm_iusUQ62wlSGCb8D-pErXwa0Tkiihtu_5aNyGRxXK1PIdpMpj2R9Q1SqCSed6KchkYgRtPIQQZKiBP6CjjUiJmQrMo8EPRVkryQHFlTMClr42KpGRoWwgv6lxALS9yfQkk6_BQoQKQMWO4cDozyFY-EqkNVBspG3BXQZQuNuUw0m3h4xLQFAFNS0DTdQOaFYqp2xrLdLeQDbivkN0N_z3b1f-zXcOBb23hMqO6CbXV55e-QcGwylqwz5NhC-rdpNcb2_fw7XnQcv8KjvbDPj5nfvcbRG3EbA |
| link.rule.ids | 315,783,787,12777,21400,27936,27937,33385,33756,41093,41132,41535,42162,42201,42604,43612,43817,51588,52123,52246 |
| linkProvider | ProQuest |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV07T8MwELagDLDwRhQKeGADiyZxGmdCCFEKtB1QkbpZjh8bSSFh6a_nLnVagQRzJEf6zufv3kfIpRGpETZJWZQqzniWGpZ2nWVdo0TseMQzhxnd0bg3eOPP03jqA26lL6ts3sT6oTaFxhj5TZjiLCmgx_B29sFwaxRmV_0KjXWywSPgauwU7z8uHS4_hRJMArAigXp900zdOoeDT7AkK2WYKwvY_CcxrazNXwnSmnf6u2TbG4z0biHhPbJm832y0yxjoF43D8jgtXhXOTUF1rYg2tTviqEYaqVAX4vkP23KtOBvVOWGGos7fzFISHVRVuUhmfQfJvcD5tckMM2DoGJCx06B2hlQxwzsn0DZJBNaA2LK8iQOe6prjBaxEca5WOjQOpNozcGzUEESHZFWXuT2mNAsEj0D_K9TzkFsNnPAVSHQKKapndZtctVAJGeLYRhyOfa4BlQCoLIGVM7bpNOgKL1ilHIlxja5bpBdff77tJP_T7sgm4PJaCiHT-OXU7IVoldc11Z3SKv6_LJnYDpU2Xl9P74BadDAOw |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3JTsMwEB1BkRAcWAqIsvrADdw2qdPYxwooZasQAglOkePlgkgrml769YyztAXBAXGLlMRKPLbn2fPmDcCJ5kJzEwraEpJRFgtNRdMa2tSSB5a1WGxdRPe-3-49s5uX4GUuiz9ju5chyTynwak0JWljqG1jmvjmZEscoUpQF-ny6GQRlphTRqrAUufq9fZyuukqlCgRFiCSRPdbJM783MpX5zRDnN-CpJnv6a6DLL86p5y81cdpXFeTb4KO__mtDVgrgCnp5CNpExZMUoX1sugDKdaAKqzOKRhuQe9x8C4TogeOUeNsTIoKNcQd8BJ0mjnlgJTkMHyLyEQTbVylYXc0SdRglI624al7-XTeo0VxBqqY56WUq8BKnOwaF4EYUZcnTRhzpXyBVywM_LZsaq14oLm2NuDKN1aHSjHcz0gvbO1AJRkkZhdI3OJtjahDCcZwsJjYoof00Xm74LhVqganpVGiYS7BEU3FlrMei7DHoqzHokkNDkq7RcV0HEX4UaFAMBb4NTgrzTC7_Xtre397_BiWHy660d11_3YfVny3Nc8I3gdQST_G5hDxSxofFUP0E-GR6DU |
| 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=Roman+domination+problem+with+uncertain+positioning+and+deployment+costs&rft.jtitle=Soft+computing+%28Berlin%2C+Germany%29&rft.au=Ghaffari-Hadigheh%2C+Alireza&rft.date=2020-02-01&rft.pub=Springer+Nature+B.V&rft.issn=1432-7643&rft.eissn=1433-7479&rft.volume=24&rft.issue=4&rft.spage=2637&rft.epage=2645&rft_id=info:doi/10.1007%2Fs00500-019-03811-z |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1432-7643&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1432-7643&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1432-7643&client=summon |