Class information for:
Level 1: BILEVEL PROGRAMMING//BILEVEL LINEAR PROGRAMMING//LINEAR BILEVEL PROGRAMMING

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15719 696 26.0 50%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
459 3       JOURNAL OF CONSTRUCTION ENGINEERING AND MANAGEMENT-ASCE//JOURNAL OF CONSTRUCTION ENGINEERING AND MANAGEMENT//AUTOMATION IN CONSTRUCTION 24523
843 2             SUPPLIER SELECTION//OPERATIONS RESEARCH & MANAGEMENT SCIENCE//ANALYTIC HIERARCHY PROCESS 11751
15719 1                   BILEVEL PROGRAMMING//BILEVEL LINEAR PROGRAMMING//LINEAR BILEVEL PROGRAMMING 696

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 BILEVEL PROGRAMMING authKW 2822120 23% 39% 163
2 BILEVEL LINEAR PROGRAMMING authKW 816675 3% 85% 22
3 LINEAR BILEVEL PROGRAMMING authKW 745812 2% 100% 17
4 STACKELBERG SOLUTIONS authKW 442367 2% 92% 11
5 MULTILEVEL PROGRAMMING authKW 318460 2% 52% 14
6 BILEVEL PROGRAMMING PROBLEM authKW 296558 2% 52% 13
7 INTERACTIVE FUZZY PROGRAMMING authKW 294904 2% 61% 11
8 BILEVEL OPTIMIZATION authKW 274562 4% 24% 26
9 PARTIAL CALMNESS authKW 238852 1% 78% 7
10 TWO LEVEL PROGRAMMING authKW 225622 1% 86% 6

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Operations Research & Management Science 33348 49% 0% 344
2 Mathematics, Applied 5692 36% 0% 252
3 Automation & Control Systems 762 7% 0% 50
4 Computer Science, Artificial Intelligence 744 9% 0% 63
5 Engineering, Industrial 743 6% 0% 41
6 Computer Science, Interdisciplinary Applications 647 9% 0% 61
7 Computer Science, Cybernetics 500 3% 0% 18
8 Computer Science, Theory & Methods 415 7% 0% 51
9 Mathematics, Interdisciplinary Applications 404 6% 0% 41
10 Engineering, General 315 6% 0% 39

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 PROD PROJECTS DEV 182795 1% 83% 5
2 DPTO METODOS ESTADIST 132929 1% 30% 10
3 ESTATIST MAT LICADA 87743 0% 100% 2
4 DECIS SYST E SERV INTELLIGENCE 61409 1% 20% 7
5 SOCIAL MODELING 58494 0% 67% 2
6 NUMER MATH OPTIMIERUNG 54451 1% 21% 6
7 TIBETAN INFORMAT PROC 49351 0% 38% 3
8 ADV CONSTRUCT INFORMAT TECHNOL ACTION 43871 0% 100% 1
9 ALPINE INDUSTRIEANLAGENBAU GMBH CO 43871 0% 100% 1
10 ANTENNAS ELECTOMAGNET SCATTERING 43871 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF GLOBAL OPTIMIZATION 28591 5% 2% 38
2 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 14525 6% 1% 41
3 COMPUTERS & OPERATIONS RESEARCH 6771 4% 1% 27
4 EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 5730 6% 0% 44
5 AUTOMATION AND REMOTE CONTROL 5127 3% 1% 21
6 DISCRETE OPTIMIZATION 4080 1% 2% 6
7 OPERATIONAL RESEARCH 2897 0% 2% 3
8 JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION 2849 1% 1% 7
9 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 2739 1% 1% 9
10 OPTIMIZATION 2372 1% 1% 4

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 BILEVEL PROGRAMMING 2822120 23% 39% 163 Search BILEVEL+PROGRAMMING Search BILEVEL+PROGRAMMING
2 BILEVEL LINEAR PROGRAMMING 816675 3% 85% 22 Search BILEVEL+LINEAR+PROGRAMMING Search BILEVEL+LINEAR+PROGRAMMING
3 LINEAR BILEVEL PROGRAMMING 745812 2% 100% 17 Search LINEAR+BILEVEL+PROGRAMMING Search LINEAR+BILEVEL+PROGRAMMING
4 STACKELBERG SOLUTIONS 442367 2% 92% 11 Search STACKELBERG+SOLUTIONS Search STACKELBERG+SOLUTIONS
5 MULTILEVEL PROGRAMMING 318460 2% 52% 14 Search MULTILEVEL+PROGRAMMING Search MULTILEVEL+PROGRAMMING
6 BILEVEL PROGRAMMING PROBLEM 296558 2% 52% 13 Search BILEVEL+PROGRAMMING+PROBLEM Search BILEVEL+PROGRAMMING+PROBLEM
7 INTERACTIVE FUZZY PROGRAMMING 294904 2% 61% 11 Search INTERACTIVE+FUZZY+PROGRAMMING Search INTERACTIVE+FUZZY+PROGRAMMING
8 BILEVEL OPTIMIZATION 274562 4% 24% 26 Search BILEVEL+OPTIMIZATION Search BILEVEL+OPTIMIZATION
9 PARTIAL CALMNESS 238852 1% 78% 7 Search PARTIAL+CALMNESS Search PARTIAL+CALMNESS
10 TWO LEVEL PROGRAMMING 225622 1% 86% 6 Search TWO+LEVEL+PROGRAMMING Search TWO+LEVEL+PROGRAMMING

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 LU, J , HAN, JL , HU, YG , ZHANG, GQ , (2016) MULTILEVEL DECISION-MAKING: A SURVEY.INFORMATION SCIENCES. VOL. 346. ISSUE . P. 463 -487 97 69% 4
2 HAN, JL , ZHANG, GQ , HU, YG , LU, J , (2016) A SOLUTION TO BI/TRI-LEVEL PROGRAMMING PROBLEMS USING PARTICLE SWARM OPTIMIZATION.INFORMATION SCIENCES. VOL. 370. ISSUE . P. 519 -537 37 95% 1
3 VICENTE, LN , CALAMAI, PH , (1994) BILEVEL AND MULTILEVEL PROGRAMMING - A BIBLIOGRAPHY REVIEW.JOURNAL OF GLOBAL OPTIMIZATION. VOL. 5. ISSUE 3. P. 291 -306 52 83% 227
4 COLSON, B , MARCOTTE, P , SAVARD, G , (2007) AN OVERVIEW OF BILEVEL OPTIMIZATION.ANNALS OF OPERATIONS RESEARCH. VOL. 153. ISSUE 1. P. 235-256 32 76% 273
5 ZHANG, GQ , HAN, JL , LU, J , (2016) FUZZY BI-LEVEL DECISION-MAKING TECHNIQUES: A SURVEY.INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS. VOL. 9. ISSUE . P. 25 -34 26 81% 2
6 WAN, ZP , WANG, GM , SUN, B , (2013) A HYBRID INTELLIGENT ALGORITHM BY COMBINING PARTICLE SWARM OPTIMIZATION WITH CHAOS SEARCHING TECHNIQUE FOR SOLVING NONLINEAR BILEVEL PROGRAMMING PROBLEMS.SWARM AND EVOLUTIONARY COMPUTATION. VOL. 8. ISSUE . P. 26 -32 30 79% 16
7 SINHA, A , MALO, P , DEB, K , (2017) EVOLUTIONARY ALGORITHM FOR BILEVEL OPTIMIZATION USING APPROXIMATIONS OF THE LOWER LEVEL OPTIMAL SOLUTION MAPPING.EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. VOL. 257. ISSUE 2. P. 395 -411 28 82% 0
8 ETOA, JBE , (2011) AN ENUMERATION SEQUENTIAL LINEAR PROGRAMMING ALGORITHM FOR BILEVEL PROGRAMMING WITH LINEAR CONSTRAINTS.PACIFIC JOURNAL OF OPTIMIZATION. VOL. 7. ISSUE 1. P. 139-162 26 96% 0
9 XU, P , WANG, LZ , (2014) AN EXACT ALGORITHM FOR THE BILEVEL MIXED INTEGER LINEAR PROGRAMMING PROBLEM UNDER THREE SIMPLIFYING ASSUMPTIONS.COMPUTERS & OPERATIONS RESEARCH. VOL. 41. ISSUE . P. 309 -318 25 83% 8
10 SAKAWA, M , MATSUI, T , (2014) RANDOM FUZZY BILEVEL LINEAR PROGRAMMING THROUGH POSSIBILITY-BASED FRACTILE MODEL.INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS. VOL. 5. ISSUE 4. P. 499 -507 27 79% 1

Classes with closest relation at Level 1


Rank Class id link
1 8000 NONLINEAR COMPLEMENTARITY PROBLEM//MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS//GLOBAL CONVERGENCE
2 9218 TRAFFIC ASSIGNMENT//STOCHASTIC USER EQUILIBRIUM//TRANSPORTATION RESEARCH PART B-METHODOLOGICAL
3 6979 FUZZY NUMBERS//FUZZY LINEAR PROGRAMMING//RANKING FUNCTION
4 27565 INVERSE OPTIMIZATION//OPTIMIZAT DISCRETE MATH//INVERSE COMBINATORIAL OPTIMIZATION
5 16809 NETWORK INTERDICTION//ADVERSARIAL RISK ANALYSIS//AVIATION SECURITY
6 23709 DISCRETE TIME DYNAMIC MODELS//LINEAR QUADRATIC GAMES//STACKELBERG GAMES
7 8841 UNCERTAINTY THEORY//PORTFOLIO SELECTION//UNCERTAIN VARIABLE
8 3266 METRIC REGULARITY//CODERIVATIVE//SUBDIFFERENTIAL
9 7992 GLOBAL OPTIMIZATION//JOURNAL OF GLOBAL OPTIMIZATION//SUM OF RATIOS
10 10275 INTERACTIVE METHODS//EFFICIENT SET//MULTIPLE OBJECTIVE PROGRAMMING

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