Class information for:
Level 1: BILEVEL PROGRAMMING//MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS//BILEVEL LINEAR PROGRAMMING

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
199 3       MATHEMATICS, APPLIED//FIXED POINT//MATHEMATICS 52882
101 2             JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//MATHEMATICS, APPLIED//GLOBAL CONVERGENCE 25884
13058 1                   BILEVEL PROGRAMMING//MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS//BILEVEL LINEAR PROGRAMMING 894

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 BILEVEL PROGRAMMING authKW 2376839 19% 39% 174
2 MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS authKW 817409 4% 58% 40
3 BILEVEL LINEAR PROGRAMMING authKW 725182 3% 86% 24
4 LINEAR BILEVEL PROGRAMMING authKW 599288 2% 100% 17
5 MATHEMATICAL PROGRAMS WITH COMPLEMENTARITY CONSTRAINTS authKW 385622 2% 58% 19
6 COMPLEMENTARITY CONSTRAINTS authKW 375997 3% 44% 24
7 MATHEMATICAL PROGRAM WITH COMPLEMENTARITY CONSTRAINTS authKW 371057 2% 53% 20
8 BILEVEL OPTIMIZATION authKW 295256 4% 25% 33
9 STACKELBERG SOLUTIONS authKW 293765 1% 83% 10
10 MATHEMATICAL PROGRAMS WITH VANISHING CONSTRAINTS authKW 285541 1% 90% 9

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Operations Research & Management Science 45855 51% 0% 457
2 Mathematics, Applied 12722 47% 0% 423
3 Engineering, Industrial 620 5% 0% 43
4 Computer Science, Interdisciplinary Applications 584 7% 0% 67
5 Computer Science, Artificial Intelligence 508 7% 0% 61
6 Computer Science, Software Engineering 405 5% 0% 48
7 Computer Science, Theory & Methods 393 6% 0% 57
8 Mathematics, Interdisciplinary Applications 383 5% 0% 46
9 Computer Science, Cybernetics 376 2% 0% 18
10 Automation & Control Systems 363 5% 0% 41

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PROD PROJECTS DEV 146883 1% 83% 5
2 DPTO METODOS ESTADIST 106811 1% 30% 10
3 ESTATIST MAT LICADA 70504 0% 100% 2
4 STUDIES ECON FINANCE 63452 0% 60% 3
5 DECIS SYST E SERV INTELLIGENCE 57837 1% 21% 8
6 SOCIAL MODELING 47002 0% 67% 2
7 TIBETAN INFORMAT PROC 39655 0% 38% 3
8 ALPINE INDUSTRIEANLAGENBAU GMBH CO 35252 0% 100% 1
9 AM2 35252 0% 100% 1
10 ANTENNAS ELECTOMAGNET SCATTERING 35252 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF GLOBAL OPTIMIZATION 34198 5% 2% 47
2 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 22075 6% 1% 57
3 SIAM JOURNAL ON OPTIMIZATION 19534 4% 2% 32
4 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 14040 3% 2% 23
5 PACIFIC JOURNAL OF OPTIMIZATION 8728 1% 2% 10
6 OPTIMIZATION 7847 1% 2% 12
7 OPTIMIZATION METHODS & SOFTWARE 6655 2% 1% 14
8 COMPUTERS & OPERATIONS RESEARCH 5693 3% 1% 28
9 MATHEMATICAL PROGRAMMING 5363 2% 1% 22
10 EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 5101 5% 0% 47

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 BILEVEL PROGRAMMING 2376839 19% 39% 174 Search BILEVEL+PROGRAMMING Search BILEVEL+PROGRAMMING
2 MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS 817409 4% 58% 40 Search MATHEMATICAL+PROGRAMS+WITH+EQUILIBRIUM+CONSTRAINTS Search MATHEMATICAL+PROGRAMS+WITH+EQUILIBRIUM+CONSTRAINTS
3 BILEVEL LINEAR PROGRAMMING 725182 3% 86% 24 Search BILEVEL+LINEAR+PROGRAMMING Search BILEVEL+LINEAR+PROGRAMMING
4 LINEAR BILEVEL PROGRAMMING 599288 2% 100% 17 Search LINEAR+BILEVEL+PROGRAMMING Search LINEAR+BILEVEL+PROGRAMMING
5 MATHEMATICAL PROGRAMS WITH COMPLEMENTARITY CONSTRAINTS 385622 2% 58% 19 Search MATHEMATICAL+PROGRAMS+WITH+COMPLEMENTARITY+CONSTRAINTS Search MATHEMATICAL+PROGRAMS+WITH+COMPLEMENTARITY+CONSTRAINTS
6 COMPLEMENTARITY CONSTRAINTS 375997 3% 44% 24 Search COMPLEMENTARITY+CONSTRAINTS Search COMPLEMENTARITY+CONSTRAINTS
7 MATHEMATICAL PROGRAM WITH COMPLEMENTARITY CONSTRAINTS 371057 2% 53% 20 Search MATHEMATICAL+PROGRAM+WITH+COMPLEMENTARITY+CONSTRAINTS Search MATHEMATICAL+PROGRAM+WITH+COMPLEMENTARITY+CONSTRAINTS
8 BILEVEL OPTIMIZATION 295256 4% 25% 33 Search BILEVEL+OPTIMIZATION Search BILEVEL+OPTIMIZATION
9 STACKELBERG SOLUTIONS 293765 1% 83% 10 Search STACKELBERG+SOLUTIONS Search STACKELBERG+SOLUTIONS
10 MATHEMATICAL PROGRAMS WITH VANISHING CONSTRAINTS 285541 1% 90% 9 Search MATHEMATICAL+PROGRAMS+WITH+VANISHING+CONSTRAINTS Search MATHEMATICAL+PROGRAMS+WITH+VANISHING+CONSTRAINTS

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 8074 FUZZY LINEAR PROGRAMMING//AGGREGATE PRODUCTION PLANNING//FUZZY MATHEMATICAL PROGRAMMING
2 7144 NONLINEAR COMPLEMENTARITY PROBLEM//COMPLEMENTARITY PROBLEM//SMOOTHING NEWTON METHOD
3 3164 METRIC REGULARITY//CODERIVATIVE//VARIATIONAL ANALYSIS
4 28350 INVERSE OPTIMIZATION//OPTIMIZAT DISCRETE MATH//STRONGLY POLYNOMIAL ALGORITHM
5 7796 SUPERLINEAR CONVERGENCE//NONLINEAR PROGRAMMING//GLOBAL CONVERGENCE
6 28122 DISCRETE TIME DYNAMIC MODELS//STACKELBERG GAMES//INVERSE STACKELBERG GAMES
7 16838 NETWORK INTERDICTION//INTERDICTION//ADVERSARIAL RISK ANALYSIS
8 16918 SEMI INFINITE PROGRAMMING//LINEAR INEQUALITY SYSTEMS//LINEAR SEMI INFINITE PROGRAMMING
9 35890 ECON MANAGEMENT SOCIAL//EXTRAPROXIMAL METHOD//INVEST ECON ADM SOCIALES
10 4381 TRANSPORTATION RESEARCH PART B-METHODOLOGICAL//TRAFFIC ASSIGNMENT//STOCHASTIC USER EQUILIBRIUM

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