Global optimization of signomial mixed-integer nonlinear programming problems with free variables

Mixed-integer nonlinear programming (MINLP) problems involving general constraints and objective functions with continuous and integer variables occur frequently in engineering design, chemical process industry and management. Although many optimization approaches have been developed for MINLP probl...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Journal of global optimization Jg. 42; H. 1; S. 39 - 49
Hauptverfasser:	Tsai, Jung-Fa, Lin, Ming-Hua
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Boston Springer US 01.09.2008 Springer Nature B.V
Schlagworte:	Algorithms Computer Science Design engineering Mathematics Mathematics and Statistics Methods Nonlinear programming Operations Research/Decision Theory Optimization Optimization techniques Real Functions Solutions Studies Variables Global optimization Mixed-integer nonlinear programming Convexification Free variable
ISSN:	0925-5001, 1573-2916
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Abstract	Mixed-integer nonlinear programming (MINLP) problems involving general constraints and objective functions with continuous and integer variables occur frequently in engineering design, chemical process industry and management. Although many optimization approaches have been developed for MINLP problems, these methods can only handle signomial terms with positive variables or find a local solution. Therefore, this study proposes a novel method for solving a signomial MINLP problem with free variables to obtain a global optimal solution. The signomial MINLP problem is first transformed into another one containing only positive variables. Then the transformed problem is reformulated as a convex mixed-integer program by the convexification strategies and piecewise linearization techniques. A global optimum of the signomial MINLP problem can finally be found within the tolerable error. Numerical examples are also presented to demonstrate the effectiveness of the proposed method.
AbstractList	Mixed-integer nonlinear programming (MINLP) problems involving general constraints and objective functions with continuous and integer variables occur frequently in engineering design, chemical process industry and management. Although many optimization approaches have been developed for MINLP problems, these methods can only handle signomial terms with positive variables or find a local solution. Therefore, this study proposes a novel method for solving a signomial MINLP problem with free variables to obtain a global optimal solution. The signomial MINLP problem is first transformed into another one containing only positive variables. Then the transformed problem is reformulated as a convex mixed-integer program by the convexification strategies and piecewise linearization techniques. A global optimum of the signomial MINLP problem can finally be found within the tolerable error. Numerical examples are also presented to demonstrate the effectiveness of the proposed method. Mixed-integer nonlinear programming (MINLP) problems involving general constraints and objective functions with continuous and integer variables occur frequently in engineering design, chemical process industry and management. Although many optimization approaches have been developed for MINLP problems, these methods can only handle signomial terms with positive variables or find a local solution. Therefore, this study proposes a novel method for solving a signomial MINLP problem with free variables to obtain a global optimal solution. The signomial MINLP problem is first transformed into another one containing only positive variables. Then the transformed problem is reformulated as a convex mixed-integer program by the convexification strategies and piecewise linearization techniques. A global optimum of the signomial MINLP problem can finally be found within the tolerable error. Numerical examples are also presented to demonstrate the effectiveness of the proposed method. [PUBLICATION ABSTRACT]
Author	Tsai, Jung-Fa Lin, Ming-Hua
Author_xml	– sequence: 1 givenname: Jung-Fa surname: Tsai fullname: Tsai, Jung-Fa organization: Department of Business Management, National Taipei University of Technology – sequence: 2 givenname: Ming-Hua surname: Lin fullname: Lin, Ming-Hua email: mhlin@mail.usc.edu.tw organization: Department of Information Management, Shih Chien University
BookMark	eNp9kEtPAyEUhYmpiW31B7gj7lFgygwsTaOtSRM3uiYMZUaaGahAff16GceFMdEVJ9zz3ceZgYnzzgBwTvAlwbi6igRzwVGWSFBCED8CU8KqAlFBygmYYkEZYhiTEzCLcYcxFpzRKVCrzteqg36fbG8_VLLeQd_AaFvne5srvX0zW2RdMq0JMI_trDMqwH3wbVB9b1076LozfYSvNj3BJhgDX1SwKn_GU3DcqC6as-93Dh5vbx6Wa7S5X90trzdIF4QlxGtTN8LQosGiErTWNeVCc10KgtmCMVqWC7rVSgtTVKUSjc5FxdmWMMOoqos5uBj75mWeDyYmufOH4PJIScSirKpSFNlUjSYdfIzBNFLb9HV0Csp2kmA5xCnHOOUghzglzyT5Re6D7VV4_5ehIxOz1-X4fqz0J_QJJy2Lug
CitedBy_id	crossref_primary_10_1016_j_compchemeng_2008_08_011 crossref_primary_10_1155_2013_419043 crossref_primary_10_1155_2013_568098 crossref_primary_10_1016_j_apenergy_2016_03_018 crossref_primary_10_1016_j_compchemeng_2013_01_015 crossref_primary_10_1016_j_ejor_2013_10_016 crossref_primary_10_1109_TR_2018_2821669 crossref_primary_10_1155_2013_101376 crossref_primary_10_1080_02331934_2011_625029 crossref_primary_10_1080_0305215X_2019_1577404 crossref_primary_10_1016_j_jclepro_2017_07_024 crossref_primary_10_1007_s10898_012_9877_4 crossref_primary_10_1049_iet_gtd_2017_1714 crossref_primary_10_1080_03052150903456485 crossref_primary_10_1080_0305215X_2013_806918 crossref_primary_10_1007_s10898_016_0451_3 crossref_primary_10_1016_j_ejor_2011_06_046 crossref_primary_10_1016_j_ejor_2013_03_042 crossref_primary_10_3390_sym12091529 crossref_primary_10_1007_s10898_011_9809_8 crossref_primary_10_1080_0305215X_2011_652101 crossref_primary_10_1007_s40819_022_01416_z crossref_primary_10_1007_s11081_011_9137_3 crossref_primary_10_1002_tee_22583
Cites_doi	10.1023/A:1021039126272 10.1016/S0304-0208(08)73476-5 10.1007/BF01580653 10.1007/s101070050103 10.1007/BF01097059 10.1016/0098-1354(95)00164-W 10.1016/0098-1354(96)00080-4 10.1007/s10898-005-2098-3 10.1016/0098-1354(94)00106-X 10.1016/0009-2509(94)80010-3 10.1016/S0098-1354(02)00254-5 10.1007/s10107-005-0665-5 10.1016/0098-1354(90)87033-L 10.1023/A:1008290611151 10.1007/BF02592064 10.1007/s10898-004-0569-6 10.1016/0305-0548(94)90024-8 10.1016/j.compchemeng.2005.02.006 10.1016/j.compchemeng.2003.09.012 10.1023/A:1011962605464 10.1007/BF00934810 10.1002/aic.690460908 10.1023/B:JOGO.0000015313.93974.b0 10.1016/S0098-1354(96)00282-7 10.1016/0098-1354(90)85007-W 10.1016/S0098-1354(98)00305-6 10.1016/0098-1354(92)80028-8 10.1016/S0098-1354(00)00581-0 10.1023/A:1011241421041 10.1007/BF01581153 10.1080/03052150215719 10.1007/978-1-4613-3437-8 10.1016/j.compchemeng.2003.11.006 10.1016/0098-1354(94)00106-5 10.1007/978-1-4615-6089-0 10.1007/978-1-4757-4949-6 10.1016/j.compchemeng.2003.11.003 10.1016/S0098-1354(97)87542-4
ContentType	Journal Article
Copyright	Springer Science+Business Media LLC 2007 Springer Science+Business Media, LLC. 2008
Copyright_xml	– notice: Springer Science+Business Media LLC 2007 – notice: Springer Science+Business Media, LLC. 2008
DBID	AAYXX CITATION 3V. 7SC 7WY 7WZ 7XB 87Z 88I 8AL 8AO 8FD 8FE 8FG 8FK 8FL 8G5 ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BEZIV BGLVJ CCPQU DWQXO FRNLG F~G GNUQQ GUQSH HCIFZ JQ2 K60 K6~ K7- L.- L.0 L6V L7M L~C L~D M0C M0N M2O M2P M7S MBDVC P5Z P62 PHGZM PHGZT PKEHL PQBIZ PQBZA PQEST PQGLB PQQKQ PQUKI PTHSS Q9U
DOI	10.1007/s10898-007-9211-8
DatabaseName	CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts ABI/INFORM Collection 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) Research Library (Alumni) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials - QC ProQuest Central Business Premium Collection ProQuest Technology Collection ProQuest One ProQuest Central Korea Business Premium Collection (Alumni) ABI/INFORM Global (Corporate) ProQuest Central Student ProQuest Research Library SciTech Premium Collection ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database ABI/INFORM Professional Advanced ABI/INFORM Professional Standard ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional ABI/INFORM Global Computing Database Research Library Science Database Engineering Database Research Library (Corporate) 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) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition Engineering Collection ProQuest Central Basic
DatabaseTitle	CrossRef ProQuest Business Collection (Alumni Edition) Research Library Prep Computer Science Database ProQuest Central Student ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts SciTech Premium Collection ABI/INFORM Complete 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 ProQuest One Academic ProQuest One Academic (New) ABI/INFORM Global (Corporate) ProQuest One Business Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest One Academic Middle East (New) ProQuest Central (Alumni Edition) ProQuest One Community College Research Library (Alumni Edition) ProQuest Pharma Collection ProQuest Central ABI/INFORM Professional Advanced ProQuest Engineering Collection ABI/INFORM Professional Standard ProQuest Central Korea ProQuest Research Library Advanced Technologies Database with Aerospace ABI/INFORM Complete (Alumni Edition) ProQuest Computing ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest Computing (Alumni Edition) ProQuest SciTech Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database Materials Science & Engineering Collection ProQuest One Business (Alumni) ProQuest Central (Alumni) Business Premium Collection (Alumni)
DatabaseTitleList	ProQuest Business Collection (Alumni Edition)
Database_xml	– sequence: 1 dbid: BENPR name: ProQuest Central url: https://www.proquest.com/central sourceTypes: Aggregation Database
DeliveryMethod	fulltext_linktorsrc
Discipline	Engineering Mathematics Sciences (General) Computer Science
EISSN	1573-2916
EndPage	49
ExternalDocumentID	1519010981 10_1007_s10898_007_9211_8
Genre	Feature
GroupedDBID	-52 -57 -5G -BR -EM -Y2 -~C .4S .86 .DC .VR 06D 0R~ 0VY 199 1N0 1SB 2.D 203 28- 29K 2J2 2JN 2JY 2KG 2LR 2P1 2VQ 2~H 30V 3V. 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6NX 78A 7WY 88I 8AO 8FE 8FG 8FL 8G5 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYOK AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDZT ABECU ABFTV ABHLI ABHQN ABJCF ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTAH ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACGOD ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACZOJ ADHHG ADHIR ADIMF ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFIE AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFGCZ AFKRA AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AI. AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARAPS ARCSS ARMRJ ASPBG AVWKF AXYYD AYQZM AZFZN AZQEC B-. BA0 BAPOH BBWZM BDATZ BENPR BEZIV BGLVJ BGNMA BPHCQ BSONS CAG CCPQU COF CS3 CSCUP D-I DDRTE DL5 DNIVK DPUIP DU5 DWQXO EBLON EBS EDO EIOEI EJD ESBYG FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRNLG FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 GQ8 GROUPED_ABI_INFORM_COMPLETE GUQSH GXS H13 HCIFZ HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I09 IAO IHE IJ- IKXTQ ITC ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ K60 K6V K6~ K7- KDC KOV KOW L6V LAK LLZTM M0C M0N M2O M2P M4Y M7S MA- N2Q N9A NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM OVD P19 P2P P62 P9M PF0 PQBIZ PQBZA PQQKQ PROAC PT4 PT5 PTHSS Q2X QOK QOS R4E R89 R9I RHV RNI RNS ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SBE SCLPG SDD SDH SDM SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TN5 TSG TSK TSV TUC TUS U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW VH1 W23 W48 WK8 YLTOR Z45 Z5O Z7R Z7X Z7Z Z81 Z83 Z86 Z88 Z8M Z8N Z8T Z8U Z8W Z92 ZMTXR ZWQNP ZY4 ~EX AAPKM AAYXX ABBRH ABDBE ABFSG ABRTQ ACSTC ADHKG AEZWR AFDZB AFFHD AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP AMVHM ATHPR AYFIA CITATION PHGZM PHGZT PQGLB 7SC 7XB 8AL 8FD 8FK JQ2 L.- L.0 L7M L~C L~D MBDVC PKEHL PQEST PQUKI Q9U
ID	FETCH-LOGICAL-c315t-8bebf9e23f09792bcb289c8c6910545526642dcac9e376a9fcc8ca85d15e52ab3
IEDL.DBID	M2P
ISICitedReferencesCount	27
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000257945600003&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	0925-5001
IngestDate	Tue Nov 04 17:02:43 EST 2025 Sat Nov 29 01:59:27 EST 2025 Tue Nov 18 21:55:07 EST 2025 Fri Feb 21 02:42:28 EST 2025
IsPeerReviewed	true
IsScholarly	true
Issue	1
Keywords	Global optimization Mixed-integer nonlinear programming Convexification Free variable
Language	English
License	http://www.springer.com/tdm
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c315t-8bebf9e23f09792bcb289c8c6910545526642dcac9e376a9fcc8ca85d15e52ab3
Notes	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14
PQID	194677693
PQPubID	29930
PageCount	11
ParticipantIDs	proquest_journals_194677693 crossref_citationtrail_10_1007_s10898_007_9211_8 crossref_primary_10_1007_s10898_007_9211_8 springer_journals_10_1007_s10898_007_9211_8
PublicationCentury	2000
PublicationDate	20080900 2008-9-00 20080901
PublicationDateYYYYMMDD	2008-09-01
PublicationDate_xml	– month: 9 year: 2008 text: 20080900
PublicationDecade	2000
PublicationPlace	Boston
PublicationPlace_xml	– name: Boston – name: Dordrecht
PublicationSubtitle	An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management and Engineering
PublicationTitle	Journal of global optimization
PublicationTitleAbbrev	J Glob Optim
PublicationYear	2008
Publisher	Springer US Springer Nature B.V
Publisher_xml	– name: Springer US – name: Springer Nature B.V
References	Maranas, Floudas (CR25) 1995; 7 Maranas, Floudas (CR26) 1997; 21 Tomlin, Hansen (CR35) 1981 Leyffer (CR22) 2001; 18 Beale, Forrest (CR5) 1976; 10 Sun, McKinnon, Li (CR34) 2001; 21 Grossmann (CR17) 2002; 3 Wu, Bai, Zhang (CR38) 2005; 31 Lee, Grossmann (CR21) 2000; 24 Borchers, Mitchell (CR9) 1994; 21 Geoffrion (CR15) 1972; 10 Aggarwal, Floudas (CR4) 1990; 14 Quesada, Grossmann (CR31) 1992; 16 Pörn, Harjunkoski, Westerlund (CR30) 1999; 23 Kokossis, Floudas (CR20) 1994; 49 Floudas, Akrotirianakis, Caratzoulas, Meyer, Kallrath (CR13) 2005; 29 Li, Tsai (CR23) 2005; 33 Salcedo, Goncalves, Feyo de Azevedo (CR32) 1990; 14 Adjiman, Androulakis, Floudas (CR1) 1997; 21 Björk, Lindberg, Westerlund (CR8) 2003; 27 Floudas, Pardalos (CR14) 1996 Tsai, Li, Hu (CR36) 2002; 34 Westerlund, Pettersson (CR37) 1995; 19 Glover, Laguna (CR16) 1997 CR24 Adjiman, Androulakis, Maranas, Floudas (CR3) 1996; 20 Stubbs, Mehrotra (CR33) 1999; 86 McDonald, Floudas (CR28) 1995; 19 Floudas (CR12) 2000 Grossmann, Biegler (CR18) 2004; 28 Adjiman, Androulakis, Floudas (CR2) 2000; 46 Beale, Tomlin, Lawrence (CR6) 1970 Fletcher, Leyffer (CR11) 1994; 66 Biegler, Grossmann (CR7) 2004; 28 Duran, Grossmann (CR10) 1986; 36 Yiu, Liu, Teo (CR39) 2004; 28 Martin, Möller, Moritz (CR27) 2006; 105 Hussain, Al-Sultan (CR19) 1997; 11 Papalexandri, Pistikopoulos, Floudas (CR29) 1994; 72 M. Duran (9211_CR10) 1986; 36 I.E. Grossmann (9211_CR17) 2002; 3 Z.Y. Wu (9211_CR38) 2005; 31 C.A. Floudas (9211_CR14) 1996 I.E. Grossmann (9211_CR18) 2004; 28 C.D. Maranas (9211_CR26) 1997; 21 I. Quesada (9211_CR31) 1992; 16 M.F. Hussain (9211_CR19) 1997; 11 R.A. Stubbs (9211_CR33) 1999; 86 C.S. Adjiman (9211_CR3) 1996; 20 R.L. Salcedo (9211_CR32) 1990; 14 R. Fletcher (9211_CR11) 1994; 66 T. Westerlund (9211_CR37) 1995; 19 C.M. McDonald (9211_CR28) 1995; 19 C.D. Maranas (9211_CR25) 1995; 7 C.S. Adjiman (9211_CR1) 1997; 21 S. Lee (9211_CR21) 2000; 24 A.C. Kokossis (9211_CR20) 1994; 49 S. Leyffer (9211_CR22) 2001; 18 A.M. Geoffrion (9211_CR15) 1972; 10 E.M.L. Beale (9211_CR5) 1976; 10 B. Borchers (9211_CR9) 1994; 21 F. Glover (9211_CR16) 1997 L.T. Biegler (9211_CR7) 2004; 28 X.L. Sun (9211_CR34) 2001; 21 E.L.M. Beale (9211_CR6) 1970 K.P. Papalexandri (9211_CR29) 1994; 72 K.F.C. Yiu (9211_CR39) 2004; 28 H.L. Li (9211_CR23) 2005; 33 9211_CR24 R. Pörn (9211_CR30) 1999; 23 J.F. Tsai (9211_CR36) 2002; 34 A. Aggarwal (9211_CR4) 1990; 14 C.S. Adjiman (9211_CR2) 2000; 46 C.A. Floudas (9211_CR12) 2000 A. Martin (9211_CR27) 2006; 105 C.A. Floudas (9211_CR13) 2005; 29 K.M. Björk (9211_CR8) 2003; 27 J.A. Tomlin (9211_CR35) 1981
References_xml	– volume: 21 start-page: S445 year: 1997 end-page: S450 ident: CR1 article-title: Global optimization of MINLP problems in process synthesis and design publication-title: Comput. Chem. Eng. – year: 1997 ident: CR16 publication-title: Tabu Search – year: 1996 ident: CR14 publication-title: State of the Art in Global Optimization: Computational Methods and Applications – volume: 3 start-page: 227 year: 2002 end-page: 252 ident: CR17 article-title: Review of nonlinear mixed-integer and disjunctive programming techniques publication-title: Opt. Eng. doi: 10.1023/A:1021039126272 – start-page: 359 year: 1981 end-page: 370 ident: CR35 article-title: A suggested extension of special ordered sets to non-separable non-convex programming. Problems publication-title: Studies on Graphs and Discrete Programming doi: 10.1016/S0304-0208(08)73476-5 – start-page: 447 year: 1970 end-page: 454 ident: CR6 article-title: Special facilities in a general mathematical programming system for nonconvex problems using ordered sets of variables publication-title: Proceedings of the Fifth International Conference on Operations Research – volume: 10 start-page: 52 year: 1976 end-page: 69 ident: CR5 article-title: Global optimization using special ordered sets publication-title: Math. Prog. doi: 10.1007/BF01580653 – volume: 86 start-page: 515 year: 1999 end-page: 532 ident: CR33 article-title: A branch-and-cut method for 0–1 mixed convex programming publication-title: Math. Prog. doi: 10.1007/s101070050103 – volume: 7 start-page: 143 issue: 2 year: 1995 end-page: 182 ident: CR25 article-title: Finding all solutions of nonlinearly constrained systems of equations publication-title: J. Global Opt. doi: 10.1007/BF01097059 – volume: 19 start-page: S131 year: 1995 end-page: S136 ident: CR37 article-title: An Extended cutting plane method for solving convex MINLP problems publication-title: Comput. Chem. Eng. doi: 10.1016/0098-1354(95)00164-W – year: 2000 ident: CR12 publication-title: Deterministic Global Optimization: Theory, Methods and Application – volume: 20 start-page: S419 year: 1996 end-page: S424 ident: CR3 article-title: A global optimization method α BB for process design publication-title: Comput. Chem. Eng. doi: 10.1016/0098-1354(96)00080-4 – volume: 33 start-page: 1 year: 2005 end-page: 13 ident: CR23 article-title: Treating free variables in generalized geometric global optimization programs publication-title: J. Global Opt. doi: 10.1007/s10898-005-2098-3 – volume: 19 start-page: 1111 issue: 11 year: 1995 end-page: 1141 ident: CR28 article-title: Global optimization for the phase and chemical equilibrium problem: application to the NRTL equation publication-title: Comput. Chem. Eng. doi: 10.1016/0098-1354(94)00106-X – volume: 49 start-page: 1037 issue: 7 year: 1994 end-page: 1051 ident: CR20 article-title: Optimization of complex reactor networks-II: nonisothermal operation publication-title: Chem. Eng. Sci. doi: 10.1016/0009-2509(94)80010-3 – volume: 27 start-page: 669 year: 2003 end-page: 679 ident: CR8 article-title: Some convexifications in global optimization of problems containing signomial terms publication-title: Comput. Chem. Eng. doi: 10.1016/S0098-1354(02)00254-5 – volume: 105 start-page: 563 year: 2006 end-page: 582 ident: CR27 article-title: Mixed integer models for the stationary case of gas network optimization publication-title: Math. Prog. doi: 10.1007/s10107-005-0665-5 – volume: 14 start-page: 631 issue: 6 year: 1990 end-page: 653 ident: CR4 article-title: Synthesis of general separation sequences-nonsharp separations publication-title: Comput. Chem. Eng. doi: 10.1016/0098-1354(90)87033-L – volume: 11 start-page: 313 year: 1997 end-page: 324 ident: CR19 article-title: A hybrid genetic algorithm for nonconvex function minimization publication-title: J. Global Opt. doi: 10.1023/A:1008290611151 – volume: 36 start-page: 307 year: 1986 end-page: 339 ident: CR10 article-title: An outer-approximation algorithm for a class of mixed integer nonlinear programs publication-title: Math. Prog. doi: 10.1007/BF02592064 – volume: 31 start-page: 45 year: 2005 end-page: 60 ident: CR38 article-title: Convexification and concavification for a general class of global optimization problems publication-title: J. Global Opt. doi: 10.1007/s10898-004-0569-6 – volume: 21 start-page: 359 issue: 4 year: 1994 end-page: 367 ident: CR9 article-title: An improved branch and bound algorithm for mixed integer nonlinear programs publication-title: Comput. Oper. Res. doi: 10.1016/0305-0548(94)90024-8 – volume: 29 start-page: 1185 year: 2005 end-page: 1202 ident: CR13 article-title: Global optimization in the 21st century: advances and challenges publication-title: Comput. Chem. Eng. doi: 10.1016/j.compchemeng.2005.02.006 – volume: 28 start-page: 1193 year: 2004 end-page: 1218 ident: CR18 article-title: Part II. Future perspective on optimization publication-title: Comput. Chem. Eng. doi: 10.1016/j.compchemeng.2003.09.012 – volume: 21 start-page: 185 year: 2001 end-page: 199 ident: CR34 article-title: A convexification method for a class of global optimization problems with applications to reliability optimization publication-title: J. Global Opt. doi: 10.1023/A:1011962605464 – volume: 10 start-page: 237 year: 1972 end-page: 260 ident: CR15 article-title: Generalized benders decomposition publication-title: J. Opt. Theory Appl. doi: 10.1007/BF00934810 – volume: 46 start-page: 1769 issue: 9 year: 2000 end-page: 1797 ident: CR2 article-title: Global optimization of mixed-integer nonlinear problems publication-title: AIChE J. doi: 10.1002/aic.690460908 – volume: 28 start-page: 1169 year: 2004 end-page: 1192 ident: CR7 article-title: Retrospective on optimization publication-title: Comput. Chem. Eng. – volume: 28 start-page: 229 year: 2004 end-page: 238 ident: CR39 article-title: A hybrid descent method for global optimization publication-title: J. Global Opt. doi: 10.1023/B:JOGO.0000015313.93974.b0 – volume: 72 start-page: 279 issue: A3 year: 1994 end-page: 294 ident: CR29 article-title: Mass-exchange networks for waste minimization – a simultaneous approach publication-title: Chem. Eng. Res. Design – volume: 21 start-page: 351 issue: 4 year: 1997 end-page: 369 ident: CR26 article-title: Global optimization in generalized geometric programming publication-title: Comput. Chem. Eng. doi: 10.1016/S0098-1354(96)00282-7 – volume: 14 start-page: 1111 year: 1990 end-page: 1126 ident: CR32 article-title: An improved random-search algorithm for nonlinear optimization publication-title: Comput. Chem. Eng. doi: 10.1016/0098-1354(90)85007-W – volume: 23 start-page: 439 year: 1999 end-page: 448 ident: CR30 article-title: Convexification of different classes of nonconvex MINLP problems publication-title: Comput. Chem. Eng. doi: 10.1016/S0098-1354(98)00305-6 – volume: 16 start-page: 937 year: 1992 end-page: 947 ident: CR31 article-title: An LP/NLP based branch and bound algorithm for convex MINLP optimization problems publication-title: Comput. Chem. Eng. doi: 10.1016/0098-1354(92)80028-8 – volume: 24 start-page: 2125 year: 2000 end-page: 2142 ident: CR21 article-title: New algorithms for nonlinear generalized disjunctive programming publication-title: Comput. Chem. Eng. doi: 10.1016/S0098-1354(00)00581-0 – volume: 18 start-page: 295 year: 2001 end-page: 309 ident: CR22 article-title: Integrating sqp and branch-and-bound for mixed integer nonlinear programming publication-title: Computat. Opt. Appl. doi: 10.1023/A:1011241421041 – ident: CR24 – volume: 66 start-page: 327 year: 1994 end-page: 349 ident: CR11 article-title: Solving mixed integer nonlinear programs by outer approximation publication-title: Math. Prog. doi: 10.1007/BF01581153 – volume: 34 start-page: 613 year: 2002 end-page: 622 ident: CR36 article-title: Global optimization for signomial discrete programming problems in engineering design publication-title: Eng. Opt. doi: 10.1080/03052150215719 – volume: 36 start-page: 307 year: 1986 ident: 9211_CR10 publication-title: Math. Prog. doi: 10.1007/BF02592064 – volume: 11 start-page: 313 year: 1997 ident: 9211_CR19 publication-title: J. Global Opt. doi: 10.1023/A:1008290611151 – volume-title: State of the Art in Global Optimization: Computational Methods and Applications year: 1996 ident: 9211_CR14 doi: 10.1007/978-1-4613-3437-8 – volume: 86 start-page: 515 year: 1999 ident: 9211_CR33 publication-title: Math. Prog. doi: 10.1007/s101070050103 – volume: 34 start-page: 613 year: 2002 ident: 9211_CR36 publication-title: Eng. Opt. doi: 10.1080/03052150215719 – volume: 105 start-page: 563 year: 2006 ident: 9211_CR27 publication-title: Math. Prog. doi: 10.1007/s10107-005-0665-5 – volume: 21 start-page: 351 issue: 4 year: 1997 ident: 9211_CR26 publication-title: Comput. Chem. Eng. doi: 10.1016/S0098-1354(96)00282-7 – volume: 7 start-page: 143 issue: 2 year: 1995 ident: 9211_CR25 publication-title: J. Global Opt. doi: 10.1007/BF01097059 – volume: 21 start-page: 359 issue: 4 year: 1994 ident: 9211_CR9 publication-title: Comput. Oper. Res. doi: 10.1016/0305-0548(94)90024-8 – volume: 72 start-page: 279 issue: A3 year: 1994 ident: 9211_CR29 publication-title: Chem. Eng. Res. Design – volume: 27 start-page: 669 year: 2003 ident: 9211_CR8 publication-title: Comput. Chem. Eng. doi: 10.1016/S0098-1354(02)00254-5 – volume: 46 start-page: 1769 issue: 9 year: 2000 ident: 9211_CR2 publication-title: AIChE J. doi: 10.1002/aic.690460908 – volume: 28 start-page: 1193 year: 2004 ident: 9211_CR18 publication-title: Comput. Chem. Eng. doi: 10.1016/j.compchemeng.2003.11.006 – volume: 14 start-page: 631 issue: 6 year: 1990 ident: 9211_CR4 publication-title: Comput. Chem. Eng. doi: 10.1016/0098-1354(90)87033-L – volume: 3 start-page: 227 year: 2002 ident: 9211_CR17 publication-title: Opt. Eng. doi: 10.1023/A:1021039126272 – volume: 18 start-page: 295 year: 2001 ident: 9211_CR22 publication-title: Computat. Opt. Appl. doi: 10.1023/A:1011241421041 – volume: 20 start-page: S419 year: 1996 ident: 9211_CR3 publication-title: Comput. Chem. Eng. doi: 10.1016/0098-1354(96)00080-4 – volume: 19 start-page: 1111 issue: 11 year: 1995 ident: 9211_CR28 publication-title: Comput. Chem. Eng. doi: 10.1016/0098-1354(94)00106-5 – volume: 49 start-page: 1037 issue: 7 year: 1994 ident: 9211_CR20 publication-title: Chem. Eng. Sci. doi: 10.1016/0009-2509(94)80010-3 – volume: 10 start-page: 52 year: 1976 ident: 9211_CR5 publication-title: Math. Prog. doi: 10.1007/BF01580653 – volume: 14 start-page: 1111 year: 1990 ident: 9211_CR32 publication-title: Comput. Chem. Eng. doi: 10.1016/0098-1354(90)85007-W – volume: 16 start-page: 937 year: 1992 ident: 9211_CR31 publication-title: Comput. Chem. Eng. doi: 10.1016/0098-1354(92)80028-8 – volume: 31 start-page: 45 year: 2005 ident: 9211_CR38 publication-title: J. Global Opt. doi: 10.1007/s10898-004-0569-6 – volume: 66 start-page: 327 year: 1994 ident: 9211_CR11 publication-title: Math. Prog. doi: 10.1007/BF01581153 – volume: 29 start-page: 1185 year: 2005 ident: 9211_CR13 publication-title: Comput. Chem. Eng. doi: 10.1016/j.compchemeng.2005.02.006 – volume: 24 start-page: 2125 year: 2000 ident: 9211_CR21 publication-title: Comput. Chem. Eng. doi: 10.1016/S0098-1354(00)00581-0 – ident: 9211_CR24 – start-page: 447 volume-title: Proceedings of the Fifth International Conference on Operations Research year: 1970 ident: 9211_CR6 – volume: 23 start-page: 439 year: 1999 ident: 9211_CR30 publication-title: Comput. Chem. Eng. doi: 10.1016/S0098-1354(98)00305-6 – volume: 28 start-page: 229 year: 2004 ident: 9211_CR39 publication-title: J. Global Opt. doi: 10.1023/B:JOGO.0000015313.93974.b0 – volume-title: Tabu Search year: 1997 ident: 9211_CR16 doi: 10.1007/978-1-4615-6089-0 – volume-title: Deterministic Global Optimization: Theory, Methods and Application year: 2000 ident: 9211_CR12 doi: 10.1007/978-1-4757-4949-6 – volume: 10 start-page: 237 year: 1972 ident: 9211_CR15 publication-title: J. Opt. Theory Appl. doi: 10.1007/BF00934810 – volume: 28 start-page: 1169 year: 2004 ident: 9211_CR7 publication-title: Comput. Chem. Eng. doi: 10.1016/j.compchemeng.2003.11.003 – volume: 19 start-page: S131 year: 1995 ident: 9211_CR37 publication-title: Comput. Chem. Eng. doi: 10.1016/0098-1354(95)00164-W – volume: 21 start-page: S445 year: 1997 ident: 9211_CR1 publication-title: Comput. Chem. Eng. doi: 10.1016/S0098-1354(97)87542-4 – start-page: 359 volume-title: Studies on Graphs and Discrete Programming year: 1981 ident: 9211_CR35 doi: 10.1016/S0304-0208(08)73476-5 – volume: 33 start-page: 1 year: 2005 ident: 9211_CR23 publication-title: J. Global Opt. doi: 10.1007/s10898-005-2098-3 – volume: 21 start-page: 185 year: 2001 ident: 9211_CR34 publication-title: J. Global Opt. doi: 10.1023/A:1011962605464
SSID	ssj0009852
Score	1.9756811
Snippet	Mixed-integer nonlinear programming (MINLP) problems involving general constraints and objective functions with continuous and integer variables occur...
SourceID	proquest crossref springer
SourceType	Aggregation Database Enrichment Source Index Database Publisher
StartPage	39
SubjectTerms	Algorithms Computer Science Design engineering Mathematics Mathematics and Statistics Methods Nonlinear programming Operations Research/Decision Theory Optimization Optimization techniques Real Functions Solutions Studies Variables
SummonAdditionalLinks	– databaseName: Springer LINK dbid: RSV link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LSwMxEB60etCDtVWxViUHDz4I7LNNjiIWLxbxRW9Lkk2g4LbSrcWf72Q321ZRQW-7bF4kk5nJZub7AE6MkcJHN5kKX3AahUxQkeoINx762qE03TQ0BdlEt99ngwG_c3nceRXtXl1JFpp6KdmN2XQwr0s5nlooW4U1tHbM8jXcPzwvkHZZQbPj8SCmMSrh6irzuyY-G6OFh_nlUrSwNb36v0a5DVvOtSSXpSw0YEWPmlCvaBuI28VN2FzCIMS32zlwa96EhiuVk1MHSH22A6IkBiBjVC-Zy9skY0Ns7Mc4QwEm2fBdp7SAnsCeRiX8hpgQF_2VYU_EUdfkxP76JWaiNZnhQd2mbuW78NS7fry6oY6agarQj6eUSS0N10FoPN7lgVQSD26KqQ56H-iTxWj2oyBVQnGNGkxwo_CjYHHqxzoOhAz3oIaD0ftAOtIYZTrouYY68rBOqKQ2UgpsEUUlboFXrVGiHG65pc94SRaIy3bOE_to5zxhLTifV3ktQTt-K9yuFj5x-zdPfI4GxNJEtuCiWuelrz-1dfCn0m3YqKJPPP8QatPJmz6CdTWbDvPJcSHVH6HB88Q priority: 102 providerName: Springer Nature
Title	Global optimization of signomial mixed-integer nonlinear programming problems with free variables
URI	https://link.springer.com/article/10.1007/s10898-007-9211-8 https://www.proquest.com/docview/194677693
Volume	42
WOSCitedRecordID	wos000257945600003&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 Collection customDbUrl: eissn: 1573-2916 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0009852 issn: 0925-5001 databaseCode: 7WY dateStart: 19970101 isFulltext: true titleUrlDefault: https://www.proquest.com/abicomplete providerName: ProQuest – providerCode: PRVPQU databaseName: ABI/INFORM Global customDbUrl: eissn: 1573-2916 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0009852 issn: 0925-5001 databaseCode: M0C dateStart: 19970101 isFulltext: true titleUrlDefault: https://search.proquest.com/abiglobal providerName: ProQuest – providerCode: PRVPQU databaseName: Advanced Technologies & Aerospace Database customDbUrl: eissn: 1573-2916 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0009852 issn: 0925-5001 databaseCode: P5Z dateStart: 19970101 isFulltext: true titleUrlDefault: https://search.proquest.com/hightechjournals providerName: ProQuest – providerCode: PRVPQU databaseName: Computer Science Database customDbUrl: eissn: 1573-2916 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0009852 issn: 0925-5001 databaseCode: K7- dateStart: 19970101 isFulltext: true titleUrlDefault: http://search.proquest.com/compscijour providerName: ProQuest – providerCode: PRVPQU databaseName: Engineering Database customDbUrl: eissn: 1573-2916 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0009852 issn: 0925-5001 databaseCode: M7S dateStart: 19970101 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1573-2916 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0009852 issn: 0925-5001 databaseCode: BENPR dateStart: 19970101 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: Research Library customDbUrl: eissn: 1573-2916 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0009852 issn: 0925-5001 databaseCode: M2O dateStart: 19970101 isFulltext: true titleUrlDefault: https://search.proquest.com/pqrl providerName: ProQuest – providerCode: PRVPQU databaseName: Science Database customDbUrl: eissn: 1573-2916 dateEnd: 20171231 omitProxy: false ssIdentifier: ssj0009852 issn: 0925-5001 databaseCode: M2P dateStart: 19970101 isFulltext: true titleUrlDefault: https://search.proquest.com/sciencejournals providerName: ProQuest – providerCode: PRVAVX databaseName: SpringerLink Journals customDbUrl: eissn: 1573-2916 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0009852 issn: 0925-5001 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/eLvHCXMwpV1LT9wwEB6VXQ70UMoC6paHfODQgizyWG_sUwUrUKWKJWJ5XyLbsSWkLrtNFsTP7zhxWKhULlxGiZyMLI09Htsz3wewY62SIYbJVIZS0F7MJZW56eHEw1g7VjbJY1uRTSTDIb--FqnPzSl9WmXjEytHnU-0OyPfDx0XvCPu-zH9Qx1plLtc9QwaC9DGwCZ0GV0nUTrH3OUV4U4gIkYZuuPmUrOunOOutixIqMAtEOWvl6V5rPnP9Wi16hwvv7O_n-GTDzfJQT0-VuCDue_AxxcghB1Y8dO7JN88BvX3VZA1FwCZoEcZ-1JNMrHEpXtMxjhmyfjuyeS0QpswBbmvETdkQXzC1xh1E89WUxJ32ktsYQx5xL25q9Yq1-Di-Oh88JN6Ngaq45DNKFdGWWGi2AYiEZHSCvdqmus-BhwYhjFc6XtRrqUWBp2WFFZjo-QsD5lhkVTxOrSwM-YLkL6yVts-Bqux6QX4T6yVsUpJ1Iijg3UhaIyRaQ9V7hgzfmdzkGVnv8w9OvtlvAu7z79Ma5yOtz7eaGyW-SlbZs8G68JeY_QXrf_T9fVNXRuw1CSYBOEmtGbFg9mCRf04uyuLbVhIrm62oX14NEzP8O1XQlGeBAMno9NKpk4mI5Qpu0V5Nrr8CxjX-0A
linkProvider	ProQuest
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1JS8QwFH64gXpwF8c1BwUXgl1nkoOIuKCogwcFbzVJExhwHG3H7Uf5H31pU0cFvXnwVprm0eV7Ly_Ny_cBrBojhY9pMhW-4DQKmaAi1RE6HubaoTSNNDSF2ESj2WTX1_yiD96qvTC2rLKKiUWgTjvK_iPf9q0WvBXu271_oFY0yi6uVgoaJSpO9eszztjynZMD_LxrQXB0eLl_TJ2oAFWhH3cpk1oaroPQeLzBA6kkTjkUU3UcNzGbiHHAioJUCcU1-p7gRmGjYHHqxzoOhAzRbj8MRpZYzFYKBhc9jl9WCPx4PIhpjOG_WkQtd-oxu5fNa1COUy7Kvg6Dvdz223JsMcodjf-z9zMBYy6dJnsl_iehT99NwegnksUpmHThKyfrjmN7YxpEqXVAOhgx224rKukYYstZOm30SdJuveiUFmwaOiN3JaOIyIgraGujbeLUeHJi_2YTk2lNngR6NJ7MZ-DqTx58FgbwZvQckLo0Rpk6JuOhjjzsEyqpjZQCLSL64xp41cdPlKNit4ogt0mPRNriJbGHFi8Jq8HmR5f7kofkt4sXKowkLiTlyQdAarBVgexT60-25n-1tQLDx5fnZ8nZSfN0AUaqYhrPX4SBbvaol2BIPXVbebZcuAqBm7_G3jvVRFDs
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LT9wwEB7BFiE40AJFbCmtDyBRkLV5rDf2AVUIuiqiWu0BJNRLsB1bQuqyS7I8-tP4d4wThwUkuHHgFiXxKI9vXvZ4PoANa5UMMUymMpSCtmMuqcxMGxUPY-1Y2SSLbUk2kfR6_PRU9Kfgrt4L48oqa5tYGupsqN0ceSt0XPCOuK9lfVVE_6D7c3RJHYGUW2it2TQqhByZ_zeYvRW7hwf4qzejqPvreP839QQDVMchG1OujLLCRLENRCIipRWmH5rrDvpQjCwYOq92lGmphUE9lMJqvCg5y0JmWCRVjHKn4UOCKaarJuyzv5N-v7wk-wlExChDV1AvqFa79rjb1xYkVGD6RflTlziJc58tzZYer_vxHX-rT7Dgw2yyV-nFIkyZiyWYf9R8cQkWvVkryJbvvf1jGWTFgUCGaEkHfosqGVriylyGA9RVMji_NRktu2yYnFxUnUZkTnyh2wBlE8_SUxA3y01sbgy5lqjpeLL4DCdv8uIr0MCHMatAOspabTsYpMemHeCYWCtjlZIoEbWCNSGogZBq36LdMYX8SyfNpR12UnfosJPyJmw_DBlV_Uleu3mtxkvqTVWRPoClCTs14B5dfUnWl1dlfYdZhFz657B3tAZzdY1NEH6Fxji_Muswo6_H50X-rdQaAmdvDb17BclZ2A
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=Global+optimization+of+signomial+mixed-integer+nonlinear+programming+problems+with+free+variables&rft.jtitle=Journal+of+global+optimization&rft.au=Tsai%2C+Jung-Fa&rft.au=Lin%2C+Ming-Hua&rft.date=2008-09-01&rft.issn=0925-5001&rft.eissn=1573-2916&rft.volume=42&rft.issue=1&rft.spage=39&rft.epage=49&rft_id=info:doi/10.1007%2Fs10898-007-9211-8&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s10898_007_9211_8
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0925-5001&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0925-5001&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0925-5001&client=summon