A Hybrid Chemical Reaction Optimization Scheme for Task Scheduling on Heterogeneous Computing Systems
Scheduling for directed acyclic graph (DAG) tasks with the objective of minimizing makespan has become an important problem in a variety of applications on heterogeneous computing platforms, which involves making decisions about the execution order of tasks and task-to-processor mapping. Recently, t...
Saved in:
Published in | IEEE transactions on parallel and distributed systems Vol. 26; no. 12; pp. 3208 - 3222 |
---|---|
Main Authors | , , , , |
Format | Journal Article |
Language | English |
Published |
New York
IEEE
01.12.2015
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Abstract | Scheduling for directed acyclic graph (DAG) tasks with the objective of minimizing makespan has become an important problem in a variety of applications on heterogeneous computing platforms, which involves making decisions about the execution order of tasks and task-to-processor mapping. Recently, the chemical reaction optimization (CRO) method has proved to be very effective in many fields. In this paper, an improved hybrid version of the CRO method called HCRO (hybrid CRO) is developed for solving the DAG-based task scheduling problem. In HCRO, the CRO method is integrated with the novel heuristic approaches, and a new selection strategy is proposed. More specifically, the following contributions are made in this paper. (1) A Gaussian random walk approach is proposed to search for optimal local candidate solutions. (2) A left or right rotating shift method based on the theory of maximum Hamming distance is used to guarantee that our HCRO algorithm can escape from local optima. (3) A novel selection strategy based on the normal distribution and a pseudo-random shuffle approach are developed to keep the molecular diversity. Moreover, an exclusive-OR (XOR) operator between two strings is introduced to reduce the chance of cloning before new molecules are generated. Both simulation and real-life experiments have been conducted in this paper to verify the effectiveness of HCRO. The results show that the HCRO algorithm schedules the DAG tasks much better than the existing algorithms in terms of makespan and speed of convergence. |
---|---|
AbstractList | Scheduling for directed acyclic graph (DAG) tasks with the objective of minimizing makespan has become an important problem in a variety of applications on heterogeneous computing platforms, which involves making decisions about the execution order of tasks and task-to-processor mapping. Recently, the chemical reaction optimization (CRO) method has proved to be very effective in many fields. In this paper, an improved hybrid version of the CRO method called HCRO (hybrid CRO) is developed for solving the DAG-based task scheduling problem. In HCRO, the CRO method is integrated with the novel heuristic approaches, and a new selection strategy is proposed. More specifically, the following contributions are made in this paper. (1) A Gaussian random walk approach is proposed to search for optimal local candidate solutions. (2) A left or right rotating shift method based on the theory of maximum Hamming distance is used to guarantee that our HCRO algorithm can escape from local optima. (3) A novel selection strategy based on the normal distribution and a pseudo-random shuffle approach are developed to keep the molecular diversity. Moreover, an exclusive-OR (XOR) operator between two strings is introduced to reduce the chance of cloning before new molecules are generated. Both simulation and real-life experiments have been conducted in this paper to verify the effectiveness of HCRO. The results show that the HCRO algorithm schedules the DAG tasks much better than the existing algorithms in terms of makespan and speed of convergence. |
Author | Xu, Yuming Li, Keqin Li, Kenli He, Ligang Zhang, Longxin |
Author_xml | – sequence: 1 givenname: Yuming surname: Xu fullname: Xu, Yuming email: lkl@hnu.edu.cn organization: College of Computer Science and Electronic Engineering, Hunan, Changsha, China – sequence: 2 givenname: Kenli surname: Li fullname: Li, Kenli email: lkl@hnu.edu.cn organization: College of Computer Science and Electronic Engineering, Hunan, Changsha, China – sequence: 3 givenname: Ligang surname: He fullname: He, Ligang organization: Department of Computer Science, University of Warwick, Coventry, United Kingdom – sequence: 4 givenname: Longxin surname: Zhang fullname: Zhang, Longxin organization: College of Computer Science and Electronic Engineering, Hunan, Changsha, China – sequence: 5 givenname: Keqin surname: Li fullname: Li, Keqin organization: Department of Computer Science, State University of New York, New Paltz |
BookMark | eNp9kE9PAjEQxRujiYB-AONlE8-LbbfdtkeCfzAhwQieN6UMWGS3a9s94Kd3F4gHD55mXt57M8mvj84rVwFCNwQPCcHqfvH6MB9STNiQZpLnSp6hHuFcppTI7LzdMeOpokRdon4IW9wmOWY9BKNksl96u0rGH1Bao3fJG2gTrauSWR1tab_1QcxN60Oydj5Z6PB50KtmZ6tN0roTiODdBipwTUjGrqyb2FnzfYhQhit0sda7ANenOUDvT4-L8SSdzp5fxqNpaqjKYiqFYescA2jNDGOaAuM8FwYMXjKqKcewojrDS6JpjtmSEEWBkFzoVSsUZAN0d7xbe_fVQIjF1jW-al8WRGRSCCqlbFPkmDLeheBhXdTeltrvC4KLjmbR0Sw6msWJZtsRfzrGxgOZ6LXd_du8PTYtAPx-ypXiSsjsB9F-hQw |
CODEN | ITDSEO |
CitedBy_id | crossref_primary_10_1142_S0218001417590133 crossref_primary_10_1007_s00500_016_2200_4 crossref_primary_10_1016_j_ins_2018_10_020 crossref_primary_10_1038_s41598_024_70095_1 crossref_primary_10_1109_TVT_2021_3051287 crossref_primary_10_1142_S0218001417590017 crossref_primary_10_1016_j_scs_2021_103364 crossref_primary_10_1109_TCYB_2016_2607782 crossref_primary_10_1109_TSUSC_2023_3295939 crossref_primary_10_1016_j_est_2024_113007 crossref_primary_10_1016_j_neucom_2019_01_117 crossref_primary_10_3233_JIFS_169033 crossref_primary_10_1007_s13369_018_3614_3 crossref_primary_10_1155_2022_9261438 crossref_primary_10_3233_JIFS_169035 crossref_primary_10_1016_j_micpro_2019_01_011 crossref_primary_10_1016_j_jpdc_2018_09_003 crossref_primary_10_1142_S0218001417500409 crossref_primary_10_1109_TSUSC_2017_2705183 crossref_primary_10_1002_cpe_4466 crossref_primary_10_1109_TSC_2023_3311785 crossref_primary_10_1007_s10766_016_0466_x crossref_primary_10_1145_3426852 crossref_primary_10_1007_s40815_019_00662_6 crossref_primary_10_1142_S021800141759011X crossref_primary_10_1016_j_cie_2016_12_027 crossref_primary_10_1016_j_suscom_2021_100605 crossref_primary_10_1016_j_ins_2020_04_039 crossref_primary_10_1007_s10723_019_09476_0 crossref_primary_10_1007_s00521_019_04319_1 crossref_primary_10_1016_j_procs_2020_11_039 crossref_primary_10_1007_s00202_024_02556_9 crossref_primary_10_3390_math11204334 crossref_primary_10_3233_JIFS_169029 crossref_primary_10_1142_S021812661650119X crossref_primary_10_1002_cpe_4109 crossref_primary_10_1016_j_scs_2021_103658 crossref_primary_10_1142_S0218001416600077 crossref_primary_10_1016_j_physa_2019_122687 crossref_primary_10_3233_JIFS_17308 crossref_primary_10_1002_spe_3292 crossref_primary_10_1016_j_jpdc_2018_06_001 crossref_primary_10_1002_cpe_3841 crossref_primary_10_1007_s11227_021_03764_x crossref_primary_10_3233_JIFS_169018 crossref_primary_10_1587_transinf_2017PAP0015 crossref_primary_10_1007_s00521_019_04424_1 crossref_primary_10_1007_s10723_019_09490_2 crossref_primary_10_1142_S0218001417550126 crossref_primary_10_1142_S0218001417590108 crossref_primary_10_1016_j_knosys_2018_01_018 crossref_primary_10_1016_j_heliyon_2024_e31843 crossref_primary_10_1007_s10586_020_03085_3 crossref_primary_10_3390_coatings11111354 crossref_primary_10_1142_S2047684118500215 crossref_primary_10_3233_JIFS_169006 crossref_primary_10_1016_j_jnca_2014_07_027 crossref_primary_10_1109_ACCESS_2018_2829262 crossref_primary_10_1142_S0218001416590126 crossref_primary_10_3233_JIFS_169002 crossref_primary_10_3233_JIFS_169004 crossref_primary_10_1109_ACCESS_2020_2974188 crossref_primary_10_1155_2021_3250058 crossref_primary_10_1016_j_jocs_2022_101805 crossref_primary_10_1002_cpe_6456 crossref_primary_10_3390_su132313187 crossref_primary_10_1016_j_egyr_2021_10_094 crossref_primary_10_1007_s10586_018_2867_7 crossref_primary_10_1515_ijcre_2021_0168 crossref_primary_10_1109_TMC_2020_3040007 crossref_primary_10_1109_TSC_2021_3054754 crossref_primary_10_1016_j_heliyon_2024_e32747 crossref_primary_10_1016_j_future_2017_07_043 crossref_primary_10_1016_j_jcss_2017_03_007 crossref_primary_10_1109_ACCESS_2016_2558199 crossref_primary_10_1109_ACCESS_2024_3462470 crossref_primary_10_1142_S0218001418590152 crossref_primary_10_1109_ACCESS_2022_3229314 crossref_primary_10_1002_cpe_4039 crossref_primary_10_1142_S0218001416600090 crossref_primary_10_1016_j_ins_2016_08_003 crossref_primary_10_2174_1872212112666180817130152 crossref_primary_10_1142_S0218001416600089 crossref_primary_10_1142_S021800141757004X crossref_primary_10_1109_TPDS_2019_2925014 crossref_primary_10_1109_TCC_2021_3137881 crossref_primary_10_1016_j_heliyon_2024_e26961 crossref_primary_10_1007_s00366_018_0676_5 crossref_primary_10_1016_j_future_2019_02_053 crossref_primary_10_1142_S0218001417550151 crossref_primary_10_1016_j_heliyon_2024_e28344 crossref_primary_10_1109_TSUSC_2017_2743499 crossref_primary_10_1002_dac_5014 crossref_primary_10_1016_j_ins_2017_01_005 crossref_primary_10_1016_j_neucom_2017_12_072 crossref_primary_10_1109_TC_2017_2723390 crossref_primary_10_1016_j_ifacol_2016_07_838 crossref_primary_10_1016_j_asoc_2017_08_033 crossref_primary_10_1016_j_asoc_2017_02_007 crossref_primary_10_1109_JIOT_2021_3098331 crossref_primary_10_1109_TPDS_2016_2633347 crossref_primary_10_1016_j_sysarc_2023_102894 crossref_primary_10_1002_spe_2954 crossref_primary_10_1016_j_ins_2020_06_001 crossref_primary_10_3390_coatings11121462 crossref_primary_10_1007_s00202_024_02458_w crossref_primary_10_1142_S0218001417560134 crossref_primary_10_1109_ACCESS_2023_3314735 crossref_primary_10_1007_s00500_017_2523_9 crossref_primary_10_1007_s13369_017_2812_8 crossref_primary_10_1016_j_engappai_2022_104879 crossref_primary_10_3934_mbe_2021354 crossref_primary_10_1007_s10723_020_09522_2 crossref_primary_10_1007_s10922_018_9469_9 crossref_primary_10_3233_JIFS_169041 crossref_primary_10_1109_TPDS_2024_3492210 crossref_primary_10_1142_S021800141754012X crossref_primary_10_1142_S0218001418540241 crossref_primary_10_1080_00207721_2018_1432780 |
Cites_doi | 10.1016/j.jpdc.2013.05.005 10.1109/71.80160 10.1109/TEVC.2009.2033580 10.1109/71.993206 10.1038/sj/jors/0440408 10.1109/TASE.2012.2192729 10.1214/aoms/1177706645 10.1109/TAP.2012.2231936 10.1109/71.790600 10.1109/JSEE.2013.00041 10.1109/TAP.2013.2279093 10.1109/TCPMT.2012.2188396 10.1109/TVT.2012.2215970 10.1109/TMAG.2013.2240282 10.1109/CSSim.2009.36 10.1016/j.ins.2014.02.122 10.1109/71.790598 10.1109/TCAD.2010.2048354 10.1109/TPDS.2011.35 10.1287/ijoc.9.3.256 |
ContentType | Journal Article |
Copyright | Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Dec 2015 |
Copyright_xml | – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Dec 2015 |
DBID | 97E RIA RIE AAYXX CITATION 7SC 7SP 8FD JQ2 L7M L~C L~D |
DOI | 10.1109/TPDS.2014.2385698 |
DatabaseName | IEEE Xplore (IEEE) IEEE All-Society Periodicals Package (ASPP) 1998–Present IEEE Xplore CrossRef Computer and Information Systems Abstracts Electronics & Communications Abstracts Technology Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
DatabaseTitle | CrossRef Technology Research Database Computer and Information Systems Abstracts – Academic Electronics & Communications Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
DatabaseTitleList | Technology Research Database |
Database_xml | – sequence: 1 dbid: RIE name: IEEE Xplore url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/ sourceTypes: Publisher |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Engineering Statistics Computer Science |
EISSN | 1558-2183 |
EndPage | 3222 |
ExternalDocumentID | 3883129801 10_1109_TPDS_2014_2385698 6995978 |
Genre | orig-research |
GrantInformation_xml | – fundername: National Natural Science Foundation of China grantid: 61370095; 61472124; 61202109; 61472126 funderid: 10.13039/501100001809 – fundername: Key Program of National Natural Science Foundation of China grantid: 61133005; 61432005 funderid: 10.13039/501100001809 |
GroupedDBID | --Z -~X .DC 0R~ 29I 4.4 5GY 6IK 97E AAJGR AARMG AASAJ AAWTH ABAZT ABQJQ ABVLG ACGFO ACIWK AENEX AGQYO AGSQL AHBIQ AKQYR ALMA_UNASSIGNED_HOLDINGS ASUFR ATWAV BEFXN BFFAM BGNUA BKEBE BPEOZ CS3 DU5 EBS EJD HZ~ IEDLZ IFIPE IPLJI JAVBF LAI M43 MS~ O9- OCL P2P PQQKQ RIA RIE RNS TN5 TWZ UHB AAYXX CITATION RIG 7SC 7SP 8FD JQ2 L7M L~C L~D |
ID | FETCH-LOGICAL-c293t-87c4f60eeaa4c44a2e45567cec0b42a250ed2a30b1a2604b1192e1167ad4b19e3 |
IEDL.DBID | RIE |
ISSN | 1045-9219 |
IngestDate | Sun Jun 29 12:54:42 EDT 2025 Thu Apr 24 23:09:36 EDT 2025 Tue Jul 01 02:18:12 EDT 2025 Wed Aug 27 02:36:16 EDT 2025 |
IsDoiOpenAccess | false |
IsOpenAccess | true |
IsPeerReviewed | true |
IsScholarly | true |
Issue | 12 |
Keywords | normal distribution hybrid scheduling pseudo random shuffle Chemical reaction optimization hamming distance |
Language | English |
License | https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html |
LinkModel | DirectLink |
MergedId | FETCHMERGED-LOGICAL-c293t-87c4f60eeaa4c44a2e45567cec0b42a250ed2a30b1a2604b1192e1167ad4b19e3 |
Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
PQID | 1738772888 |
PQPubID | 85437 |
PageCount | 15 |
ParticipantIDs | proquest_journals_1738772888 crossref_primary_10_1109_TPDS_2014_2385698 ieee_primary_6995978 crossref_citationtrail_10_1109_TPDS_2014_2385698 |
ProviderPackageCode | CITATION AAYXX |
PublicationCentury | 2000 |
PublicationDate | 2015-Dec.-1 2015-12-1 20151201 |
PublicationDateYYYYMMDD | 2015-12-01 |
PublicationDate_xml | – month: 12 year: 2015 text: 2015-Dec.-1 day: 01 |
PublicationDecade | 2010 |
PublicationPlace | New York |
PublicationPlace_xml | – name: New York |
PublicationTitle | IEEE transactions on parallel and distributed systems |
PublicationTitleAbbrev | TPDS |
PublicationYear | 2015 |
Publisher | IEEE The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher_xml | – name: IEEE – name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
References | ref13 ref12 ref15 ref14 ref11 ref10 ref2 ref16 ref19 ref18 davis (ref24) 1987 kim (ref27) 0 (ref22) 0 ref26 ref25 ref20 ref21 santander-jimenez (ref9) 2014 (ref17) 0 ref8 ref7 garey (ref1) 1979 ref4 ref3 ref6 ref5 (ref23) 0 |
References_xml | – ident: ref8 doi: 10.1016/j.jpdc.2013.05.005 – ident: ref26 doi: 10.1109/71.80160 – ident: ref6 doi: 10.1109/TEVC.2009.2033580 – year: 0 ident: ref22 – ident: ref18 doi: 10.1109/71.993206 – year: 0 ident: ref23 – ident: ref19 doi: 10.1038/sj/jors/0440408 – ident: ref15 doi: 10.1109/TASE.2012.2192729 – year: 1987 ident: ref24 publication-title: Genetic Algorithms and Simulated Annealing – ident: ref21 doi: 10.1214/aoms/1177706645 – ident: ref10 doi: 10.1109/TAP.2012.2231936 – ident: ref3 doi: 10.1109/71.790600 – ident: ref14 doi: 10.1109/JSEE.2013.00041 – ident: ref12 doi: 10.1109/TAP.2013.2279093 – ident: ref16 doi: 10.1109/TCPMT.2012.2188396 – ident: ref13 doi: 10.1109/TVT.2012.2215970 – ident: ref11 doi: 10.1109/TMAG.2013.2240282 – ident: ref5 doi: 10.1109/CSSim.2009.36 – ident: ref25 doi: 10.1016/j.ins.2014.02.122 – ident: ref4 doi: 10.1109/71.790598 – ident: ref2 doi: 10.1109/TCAD.2010.2048354 – start-page: 1 year: 0 ident: ref27 article-title: A general approach to mapping of parallel computation upon multiprocessor architectures publication-title: Proc Int Conf Parallel Process – start-page: 1 year: 2014 ident: ref9 article-title: Parallel multiobjective metaheuristics for inferring phylogenies on multicore clusters publication-title: IEEE Trans Parallel Distrib Syst – ident: ref7 doi: 10.1109/TPDS.2011.35 – year: 0 ident: ref17 – year: 1979 ident: ref1 publication-title: Computers and Intractability A Guide to the Theory of NPcompleteness – ident: ref20 doi: 10.1287/ijoc.9.3.256 |
SSID | ssj0014504 |
Score | 2.5202968 |
Snippet | Scheduling for directed acyclic graph (DAG) tasks with the objective of minimizing makespan has become an important problem in a variety of applications on... |
SourceID | proquest crossref ieee |
SourceType | Aggregation Database Enrichment Source Index Database Publisher |
StartPage | 3208 |
SubjectTerms | Chemical reaction optimization Computational modeling Hamming distance Heuristic algorithms Hybrid scheduling Normal distribution Processor scheduling Production scheduling Program processors Pseudo random shuffle Scheduling Sociology Statistics |
Title | A Hybrid Chemical Reaction Optimization Scheme for Task Scheduling on Heterogeneous Computing Systems |
URI | https://ieeexplore.ieee.org/document/6995978 https://www.proquest.com/docview/1738772888 |
Volume | 26 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LT8MwDLaAExwYDBCDgXLghOhoVzdNj4iHJqQBgiFxq5LUcAA2xLYD_HqcNp14CXFrlIci2Uk-1_ZngL0iQhNqwiAuUgowQstnjnRg09R0jZEqVi7BuX8he7d4fpfczcHBLBeGiMrgM-q4z9KXX4zs1P0qO5SOHCtV8zDPhluVqzXzGGBSlgpk6yIJMj6G3oMZhdnh4OrkxgVxYYffp0Rm6ssbVBZV-XETl8_LWQP69caqqJLHznRiOvb9G2fjf3e-AsseZ4qjSjFWYY6GTWjUNRyEP9JNWPpESNiERYc9K-rmNaAj0XtzCV2iZhUQ11TlQYhLvmmefQonL8b9JBj-ioEeP5btwkW4Pwju7bmAmxHrKY2mY1HtwHV5rvR1uD07HRz3Al-VIbAMDSYsSov3MiTSGi2i7hImiUwt2dBgVzOkoqKr49BEmm0lNBFjSHLeHl1wI6N4AxaGoyFtgjCZLAobM8TQiEQ2UymaJJKapGVYQy0Iaznl1lOWu8oZT3lpuoRZ7kSbO9HmXrQt2J9Nean4Ov4avOZENRvopdSCdq0MuT_R4zxKY8WWiFJq6_dZ27DIaydVqEsbFiavU9phwDIxu6WmfgA1aOhB |
linkProvider | IEEE |
linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV07T8MwED7xGICBRwFRKOCBCZGSNI7jjBUPhUcBQZHYIts5GIAW0XaAX885cSpeQmyxbCeW7s73Xe4FsJMHXPsKuRfmMXo84IZkDpVn4li3tBYylDbBuXMh0lt-ehfdTcDeOBcGEYvgM2zax8KXn_fNyP4q2xe2OFYsJ2Ga9H4UlNlaY58Bj4pmgWRfRF5Cguh8mIGf7HevDm9sGBdvkoaKRCK_aKGircqPu7hQMMcL0KmOVsaVPDZHQ90079-qNv737Isw75Ama5essQQT2KvBQtXFgTmhrsHcp5KENZi16LMs3rwM2Gbpm03pYlVdAXaNZSYEu6S75tklcdLLaB4ZAWDWVYPHYpzbGPcHRrOpDbnpE6difzRg5QnslKuWvgK3x0fdg9RzfRk8Q-BgSMQ0_F74iEpxw7lqIVFDxAaNr3lLEajCvKVCXweKrCWuA0KRaP09KqdBguEqTPX6PVwDphOR5yYkkKE4RzSJjLmOAqFQGAI2WAe_olNmXNFy2zvjKSuMFz_JLGkzS9rMkbYOu-MtL2XFjr8WL1tSjRc6KtWhUTFD5mR6kAVxKMkWkVKu_75rG2bSbuc8Oz-5ONuAWfpOVAa-NGBq-DrCTYIvQ71VcO0HeJrrig |
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+Hybrid+Chemical+Reaction+Optimization+Scheme+for+Task+Scheduling+on+Heterogeneous+Computing+Systems&rft.jtitle=IEEE+transactions+on+parallel+and+distributed+systems&rft.au=Xu%2C+Yuming&rft.au=Li%2C+Kenli&rft.au=He%2C+Ligang&rft.au=Zhang%2C+Longxin&rft.date=2015-12-01&rft.pub=IEEE&rft.issn=1045-9219&rft.volume=26&rft.issue=12&rft.spage=3208&rft.epage=3222&rft_id=info:doi/10.1109%2FTPDS.2014.2385698&rft.externalDocID=6995978 |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1045-9219&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1045-9219&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1045-9219&client=summon |