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Volumn 53, Issue 10 SPEC., 2002, Pages 1127-1132

On the uniqueness of solutions to linear programs

Author keywords

Degeneracy; Linear programming; Multiple solutions; Stable solutions in MCDM; Unique solutions

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; DATA STRUCTURES; DECISION MAKING; INTEGER PROGRAMMING; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; PROBLEM SOLVING; QUADRATIC PROGRAMMING;

EID: 0036790081     PISSN: 01605682     EISSN: None     Source Type: Journal    
DOI: 10.1057/palgrave.jors.2601320     Document Type: Article
Times cited : (36)

References (14)
  • 1
    • 0020143241 scopus 로고
    • Assessing a set of additive utility functions for multicriteria decision-making, the UTA method
    • Jacquet-Lagreze E. and Siskos J. (1982). Assessing a set of additive utility functions for multicriteria decision-making, the UTA method. Eur J Opl Res 10: 151-164.
    • (1982) Eur J Opl Res , vol.10 , pp. 151-164
    • Jacquet-Lagreze, E.1    Siskos, J.2
  • 2
    • 0001168325 scopus 로고    scopus 로고
    • Measuring customer satisfaction using a collective preference disaggregation model
    • Siskos Y., Grigoroudis E., Zopounidis C. and Saurais O. (1998). Measuring customer satisfaction using a collective preference disaggregation model. Global Optim 12: 175-185.
    • (1998) Global Optim , vol.12 , pp. 175-185
    • Siskos, Y.1    Grigoroudis, E.2    Zopounidis, C.3    Saurais, O.4
  • 3
    • 0010694053 scopus 로고    scopus 로고
    • Binet matrices, an extension of network matrices
    • LSE-CDAM-2000-19, Centre for Discrete and Applicable Mathematics, LSE, WC2A 2AE, U.K.
    • Appa G.M. and Kotnyek B. (2000). Binet Matrices, an extension of network matrices. CDAM Research Report Series LSE-CDAM-2000-19, Centre for Discrete and Applicable Mathematics, LSE, WC2A 2AE, U.K. Also available from http://www.cdam.lse.ac.uk.
    • (2000) CDAM Research Report Series
    • Appa, G.M.1    Kotnyek, B.2
  • 6
    • 0000740544 scopus 로고
    • Uniqueness of solutions in linear programming
    • Mangasarian O.L. (1979). Uniqueness of solutions in linear programming. Linear Algebra Appl 25: 151-162.
    • (1979) Linear Algebra Appl , vol.25 , pp. 151-162
    • Mangasarian, O.L.1
  • 7
    • 0010736664 scopus 로고    scopus 로고
    • Balinski-Tucker simplex tableaus: Dimensions, degeneracy degrees, and interior points of optimal faces
    • Tijssen G.A. and Sierksma G. (1998). Balinski-Tucker simplex tableaus: dimensions, degeneracy degrees, and interior points of optimal faces. Math Program 81: 349-372.
    • (1998) Math Program , vol.81 , pp. 349-372
    • Tijssen, G.A.1    Sierksma, G.2
  • 8
    • 21144483652 scopus 로고
    • Description of the optimal solution set of the linear programming problem and the dimension formula
    • Kantor I.L. (1993). Description of the optimal solution set of the linear programming problem and the dimension formula. Linear Algebra Appl 179: 19-32.
    • (1993) Linear Algebra Appl , vol.179 , pp. 19-32
    • Kantor, I.L.1
  • 10
    • 84902028783 scopus 로고    scopus 로고
    • On the solution of degenerate problems of linear programming
    • Bakshiyan B.T.S., Matasov A.I. and Fedayev K.S. (2000). On the solution of degenerate problems of linear programming. Autom Remote Control 61(1, Part 2): 98-110. (Translated from Telemekhanika 1: 105-117.).
    • (2000) Autom Remote Control , vol.61 , Issue.1 PART 2 , pp. 98-110
    • Bakshiyan, B.T.S.1    Matasov, A.I.2    Fedayev, K.S.3
  • 11
    • 0010734287 scopus 로고    scopus 로고
    • Bakshiyan B.T.S., Matasov A.I. and Fedayev K.S. (2000). On the solution of degenerate problems of linear programming. Autom Remote Control 61(1, Part 2): 98-110. (Translated from Telemekhanika 1: 105-117.).
    • Telemekhanika , vol.1 , pp. 105-117
  • 12
    • 0010651331 scopus 로고
    • A mutual primal-dual simplex method
    • Graves S.C. and Wolfe P. (eds). McGraw-Hill: New York
    • Balinski M.L. and Gomory R.E. (1963). A mutual primal-dual simplex method. In: Graves S.C. and Wolfe P. (eds). Recent Advances in Mathematical Programming McGraw-Hill: New York, pp 17-37.
    • (1963) Recent Advances in Mathematical Programming , pp. 17-37
    • Balinski, M.L.1    Gomory, R.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.