Class information for:
Level 1: DEFICIENT BASIS//BASIC VARIABLE SET//PIVOT RULE

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
20613 452 20.0 30%



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
75 3       OPERATIONS RESEARCH & MANAGEMENT SCIENCE//ENGINEERING, INDUSTRIAL//EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 81966
998 2             APPROXIMATION ALGORITHMS//MATHEMATICAL PROGRAMMING//OPERATIONS RESEARCH & MANAGEMENT SCIENCE 10443
20613 1                   DEFICIENT BASIS//BASIC VARIABLE SET//PIVOT RULE 452

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 DEFICIENT BASIS authKW 337776 1% 100% 5
2 BASIC VARIABLE SET authKW 270221 1% 100% 4
3 PIVOT RULE authKW 270217 1% 67% 6
4 LINEAR PROGRAMMING authKW 248804 28% 3% 127
5 SIMPLEX METHOD authKW 211792 7% 10% 30
6 ADVANCED BASIS authKW 202665 1% 100% 3
7 ARTIFICIAL FREE authKW 202665 1% 100% 3
8 DEGENERACY GRAPHS authKW 202665 1% 100% 3
9 MULTIPARAMETRIC SENSITIVITY ANALYSIS authKW 202665 1% 100% 3
10 DEGENERACY authKW 171695 7% 8% 30

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 34903 63% 0% 283
2 Mathematics, Applied 5491 44% 0% 198
3 Computer Science, Software Engineering 2186 16% 0% 74
4 Management 457 7% 0% 33
5 Engineering, Industrial 354 5% 0% 23
6 Computer Science, Interdisciplinary Applications 321 8% 0% 35
7 Computer Science, Theory & Methods 118 5% 0% 23
8 Mathematics 101 8% 0% 36
9 Computer Science, Hardware & Architecture 53 2% 0% 10
10 Mathematics, Interdisciplinary Applications 42 3% 0% 12

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 AUTOMAT CONTROL COMPUTAT ENGN 67555 0% 100% 1
2 BCN PLANNING TEAM 67555 0% 100% 1
3 BUSINESS MARKET OPERAT 67555 0% 100% 1
4 CESMA COMPUTAC 67555 0% 100% 1
5 CESMA MATEMAT 67555 0% 100% 1
6 DCPARTMENT ECON STUDIES 67555 0% 100% 1
7 DOCTORAL MATH 67555 0% 100% 1
8 EXPERTISE ECON MODELING STUDIES 67555 0% 100% 1
9 HGEBEIT WIRT AFTSINFORMAT INSBESONDERE DECIS 67555 0% 100% 1
10 LIFE MYTHENQUAI 50 60 67555 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 MATHEMATICAL PROGRAMMING 50001 11% 2% 48
2 EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 18238 14% 0% 63
3 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 10244 3% 1% 14
4 OPTIMIZATION METHODS & SOFTWARE 6790 2% 1% 10
5 ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH 6315 2% 1% 9
6 COMPUTERS & OPERATIONS RESEARCH 5167 4% 0% 19
7 LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS 4401 2% 1% 11
8 OPTIMIZATION 3656 1% 1% 4
9 OPERATIONS RESEARCH LETTERS 3482 3% 0% 12
10 COMMUNICATIONS NEWS 1824 0% 3% 1

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 DEFICIENT BASIS 337776 1% 100% 5 Search DEFICIENT+BASIS Search DEFICIENT+BASIS
2 BASIC VARIABLE SET 270221 1% 100% 4 Search BASIC+VARIABLE+SET Search BASIC+VARIABLE+SET
3 PIVOT RULE 270217 1% 67% 6 Search PIVOT+RULE Search PIVOT+RULE
4 LINEAR PROGRAMMING 248804 28% 3% 127 Search LINEAR+PROGRAMMING Search LINEAR+PROGRAMMING
5 SIMPLEX METHOD 211792 7% 10% 30 Search SIMPLEX+METHOD Search SIMPLEX+METHOD
6 ADVANCED BASIS 202665 1% 100% 3 Search ADVANCED+BASIS Search ADVANCED+BASIS
7 ARTIFICIAL FREE 202665 1% 100% 3 Search ARTIFICIAL+FREE Search ARTIFICIAL+FREE
8 DEGENERACY GRAPHS 202665 1% 100% 3 Search DEGENERACY+GRAPHS Search DEGENERACY+GRAPHS
9 MULTIPARAMETRIC SENSITIVITY ANALYSIS 202665 1% 100% 3 Search MULTIPARAMETRIC+SENSITIVITY+ANALYSIS Search MULTIPARAMETRIC+SENSITIVITY+ANALYSIS
10 DEGENERACY 171695 7% 8% 30 Search DEGENERACY Search DEGENERACY

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 HLADIK, M , (2011) TOLERANCE ANALYSIS IN LINEAR SYSTEMS AND LINEAR PROGRAMMING.OPTIMIZATION METHODS & SOFTWARE. VOL. 26. ISSUE 3. P. 381-396 20 83% 3
2 PAN, PQ , (2008) A PRIMAL DEFICIENT-BASIS SIMPLEX ALGORITHM FOR LINEAR PROGRAMMING.APPLIED MATHEMATICS AND COMPUTATION. VOL. 196. ISSUE 2. P. 898 -912 17 100% 2
3 PAPARRIZOS, K , SAMARAS, N , SIFALERAS, A , (2015) EXTERIOR POINT SIMPLEX-TYPE ALGORITHMS FOR LINEAR AND NETWORK OPTIMIZATION PROBLEMS.ANNALS OF OPERATIONS RESEARCH. VOL. 229. ISSUE 1. P. 607 -633 30 47% 1
4 SHAHIN, A , HANAFIZADEH, P , HLADIK, M , (2016) SENSITIVITY ANALYSIS OF LINEAR PROGRAMMING IN THE PRESENCE OF CORRELATION AMONG RIGHT-HAND SIDE PARAMETERS OR OBJECTIVE FUNCTION COEFFICIENTS.CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH. VOL. 24. ISSUE 3. P. 563 -593 17 77% 0
5 HLADIK, M , SITARZ, S , (2013) MAXIMAL AND SUPREMAL TOLERANCES IN MULTIOBJECTIVE LINEAR PROGRAMMING.EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. VOL. 228. ISSUE 1. P. 93-101 17 74% 1
6 LIN, CJ , (2010) COMPUTING SHADOW PRICES/COSTS OF DEGENERATE LP PROBLEMS WITH REDUCED SIMPLEX TABLES.EXPERT SYSTEMS WITH APPLICATIONS. VOL. 37. ISSUE 8. P. 5848-5855 14 88% 3
7 TRIANTAFYLLIDIS, C , SAMARAS, N , (2015) THREE NEARLY SCALING-INVARIANT VERSIONS OF AN EXTERIOR POINT ALGORITHM FOR LINEAR PROGRAMMING.OPTIMIZATION. VOL. 64. ISSUE 10. P. 2163 -2181 12 86% 0
8 OMER, J , SOUMIS, F , (2015) A LINEAR PROGRAMMING DECOMPOSITION FOCUSING ON THE SPAN OF THE NONDEGENERATE COLUMNS.EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. VOL. 245. ISSUE 2. P. 371 -383 11 92% 0
9 MA, YQ , ZHANG, LL , PAN, PQ , (2015) CRISS-CROSS ALGORITHM BASED ON THE MOST-OBTUSE-ANGLE RULE AND DEFICIENT BASIS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 268. ISSUE . P. 439 -449 10 100% 0
10 AL-NAJJAR, C , MALAKOOTI, B , (2011) HYBRID-LP: FINDING ADVANCED STARTING POINTS FOR SIMPLEX, AND PIVOTING LP METHODS.COMPUTERS & OPERATIONS RESEARCH. VOL. 38. ISSUE 2. P. 427-434 12 86% 1

Classes with closest relation at Level 1



Rank Class id link
1 16159 MAXIMUM FLOW//STRONGLY POLYNOMIAL//NETWORK FLOW
2 2750 INTERIOR POINT METHODS//POLYNOMIAL COMPLEXITY//INTERIOR POINT ALGORITHM
3 31909 HABITUAL DOMAINS//COMPETENCE SET//COMPETENCE SET ANALYSIS
4 24947 FIXED CHARGE TRANSPORTATION PROBLEM//TRANSPORTATION PROBLEM//FIXED CHARGE TRANSPORTATION
5 24371 MATRIX CLASSES//ROUGH CONVEXITY//LINEAR COMPLEMENTARITY PROBLEM
6 15639 HIRSCH CONJECTURE//DISCRETE & COMPUTATIONAL GEOMETRY//ORIENTED MATROID
7 12459 CREW SCHEDULING//AIRCRAFT ROUTING//FLEET ASSIGNMENT
8 7992 GLOBAL OPTIMIZATION//JOURNAL OF GLOBAL OPTIMIZATION//SUM OF RATIOS
9 23029 MINMAX REGRET//FUZZY MATROID//MINMAX REGRET OPTIMIZATION
10 20629 EXISTENCE PROBLEM//LEAST ABSOLUTE DEVIATIONS//LEAST ABSOLUTE VALUE REGRESSION

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