메뉴 건너뛰기




Volumn 93, Issue 3, 1996, Pages 582-601

Examining the effect of second-order terms in mathematical programming approaches to the classification problem

Author keywords

Discriminant analysis; Linear programming; Mathematical programming; Mixed integer programming

Indexed keywords

INTEGER PROGRAMMING; LINEAR PROGRAMMING; MATHEMATICAL MODELS; PERFORMANCE; POLYNOMIALS;

EID: 0030245341     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-2217(95)00076-3     Document Type: Article
Times cited : (6)

References (27)
  • 1
    • 0001521801 scopus 로고
    • An efficient optimal solution algorithm for the classification problem
    • Banks, W. and Abad, P. (1991), "An efficient optimal solution algorithm for the classification problem", Decision Sciences 22 (5), 1008-1023.
    • (1991) Decision Sciences , vol.22 , Issue.5 , pp. 1008-1023
    • Banks, W.1    Abad, P.2
  • 2
    • 0028766151 scopus 로고
    • On the performance of linear programming heuristic applied on a quadratic transformation in the classification problem
    • Banks, W.J., and Abad, P.L. (1994), "On the performance of linear programming heuristic applied on a quadratic transformation in the classification problem", European Journal of Operational Research 74, 23-28.
    • (1994) European Journal of Operational Research , vol.74 , pp. 23-28
    • Banks, W.J.1    Abad, P.L.2
  • 3
    • 0000764772 scopus 로고
    • The use of multiple measurements in taxonomic problems
    • Fisher, R. (1936), "The use of multiple measurements in taxonomic problems", Annals of Eugenics 7, 179-188.
    • (1936) Annals of Eugenics , vol.7 , pp. 179-188
    • Fisher, R.1
  • 4
    • 84989432337 scopus 로고
    • A linear programming approach to the discriminant problem
    • Freed, N. and Glover, F. (1981), "A linear programming approach to the discriminant problem", Decision Sciences 12 (1), 68-74.
    • (1981) Decision Sciences , vol.12 , Issue.1 , pp. 68-74
    • Freed, N.1    Glover, F.2
  • 5
    • 84985773498 scopus 로고
    • Resolving certain difficulties and improving the classification power of lp discriminant analysis formulations
    • Freed, N. and Glover, F. (1986), "Resolving certain difficulties and improving the classification power of LP discriminant analysis formulations", Decision Sciences 17 (4), 589-595.
    • (1986) Decision Sciences , vol.17 , Issue.4 , pp. 589-595
    • Freed, N.1    Glover, F.2
  • 6
    • 0022882706 scopus 로고
    • General mathematical programming formulations for the statistical classification problem
    • Gehrlein, W. (1986), "General mathematical programming formulations for the statistical classification problem", Operations Research Letters 5 (6), 299-304.
    • (1986) Operations Research Letters , vol.5 , Issue.6 , pp. 299-304
    • Gehrlein, W.1
  • 7
    • 84985847276 scopus 로고
    • Improved linear programming models for discriminant analysis
    • Glover, F. (1990), "Improved linear programming models for discriminant analysis", Decision Sciences 21 (4) 771-785.
    • (1990) Decision Sciences , vol.21 , Issue.4 , pp. 771-785
    • Glover, F.1
  • 8
    • 84985822265 scopus 로고
    • A new class of models for the discriminant problem
    • Glover, F., Keene, S., and Duea, R. (1988), "A new class of models for the discriminant problem". Decision Sciences 19 (2), 269-280.
    • (1988) Decision Sciences , vol.19 , Issue.2 , pp. 269-280
    • Glover, F.1    Keene, S.2    Duea, R.3
  • 10
    • 84985761637 scopus 로고
    • Four approaches to the classification problem in discriminant analysis: An experimental study
    • Joachimsthaler, E. and Stam, A. (1988), "Four approaches to the classification problem in discriminant analysis: An experimental study", Decision Sciences 19 (2), 322-333.
    • (1988) Decision Sciences , vol.19 , Issue.2 , pp. 322-333
    • Joachimsthaler, E.1    Stam, A.2
  • 12
    • 84985807749 scopus 로고
    • Characterization of unacceptable solutions in LP discriminant analysis
    • Koehler, G. (1989a), "Characterization of unacceptable solutions in LP discriminant analysis". Decision Sciences 20 (2), 239-257.
    • (1989) Decision Sciences , vol.20 , Issue.2 , pp. 239-257
    • Koehler, G.1
  • 13
    • 84985848266 scopus 로고
    • Unacceptable solutions and the hybrid discriminant model
    • Koehler, G. (1989b), "Unacceptable solutions and the hybrid discriminant model", Decision Sciences 20 (4), 844-848.
    • (1989) Decision Sciences , vol.20 , Issue.4 , pp. 844-848
    • Koehler, G.1
  • 14
    • 84985824432 scopus 로고
    • Minimizing misclassifications in linear discriminant analysis
    • Koehler, G. and Erenguc, S. (1990), "Minimizing misclassifications in linear discriminant analysis", Decision Sciences 21 (1), 63-85.
    • (1990) Decision Sciences , vol.21 , Issue.1 , pp. 63-85
    • Koehler, G.1    Erenguc, S.2
  • 15
    • 84985756761 scopus 로고
    • A performance analysis of parametric and nonparametric discriminant approaches to business decision making
    • Mahmood, M. and Lawrence, E. (1987), "A performance analysis of parametric and nonparametric discriminant approaches to business decision making", Decision Sciences 18 (2), 308-326.
    • (1987) Decision Sciences , vol.18 , Issue.2 , pp. 308-326
    • Mahmood, M.1    Lawrence, E.2
  • 16
    • 84985759990 scopus 로고
    • Some difficulties and improvements in applying linear programming formulations to the discriminant problem
    • Markowski, E. and Markowski, C. (1985), "Some difficulties and improvements in applying linear programming formulations to the discriminant problem", Decision Sciences 16 (3), 237-247.
    • (1985) Decision Sciences , vol.16 , Issue.3 , pp. 237-247
    • Markowski, E.1    Markowski, C.2
  • 17
    • 84985817878 scopus 로고
    • A variable selection criterion in the linear programming approaches to discriminant analysis
    • Nath, R., and Jones, T. (1988), "A variable selection criterion in the linear programming approaches to discriminant analysis", Decision Sciences 19 (3), 554-563.
    • (1988) Decision Sciences , vol.19 , Issue.3 , pp. 554-563
    • Nath, R.1    Jones, T.2
  • 18
    • 84985810503 scopus 로고
    • Mathematical programming formulations for the discriminant problem: An old dog does new tricks
    • Ragsdale, C. and Stam, A. (1991), "Mathematical programming formulations for the discriminant problem: An old dog does new tricks", Decision Sciences 22 (2), 296-307.
    • (1991) Decision Sciences , vol.22 , Issue.2 , pp. 296-307
    • Ragsdale, C.1    Stam, A.2
  • 19
    • 0024701597 scopus 로고
    • Evaluating the maximize minimum distance formulation of the linear discriminant problem
    • Rubin, P. (1989), "Evaluating the maximize minimum distance formulation of the linear discriminant problem", European Journal of Operational Research 41 (2), 240-248.
    • (1989) European Journal of Operational Research , vol.41 , Issue.2 , pp. 240-248
    • Rubin, P.1
  • 20
    • 84986767231 scopus 로고
    • Heuristic solution procedures for a mixed-integer programming discriminant model
    • Rubin, P. (1990a), "Heuristic solution procedures for a mixed-integer programming discriminant model", Managerial and Decision Economics 11 (4), 255-266.
    • (1990) Managerial and Decision Economics , vol.11 , Issue.4 , pp. 255-266
    • Rubin, P.1
  • 21
    • 84985748341 scopus 로고
    • A comparison of linear programming and parametric approaches to the two group discriminant problem
    • Rubin, P. (1990b), "A comparison of linear programming and parametric approaches to the two group discriminant problem", Decision Sciences 21 (2), 373-386.
    • (1990) Decision Sciences , vol.21 , Issue.2 , pp. 373-386
    • Rubin, P.1
  • 22
    • 84985801123 scopus 로고
    • Separation failure in linear programming discriminant models
    • Rubin, P. (1991), "Separation failure in linear programming discriminant models", Decision Sciences 22 (3), 519-535.
    • (1991) Decision Sciences , vol.22 , Issue.3 , pp. 519-535
    • Rubin, P.1
  • 23
    • 0028766182 scopus 로고
    • A comment regarding polynomial discriminant functions
    • Rubin, P. (1994), "A comment regarding polynomial discriminant functions", European Journal of Operational Research 72, 29-31.
    • (1994) European Journal of Operational Research , vol.72 , pp. 29-31
    • Rubin, P.1
  • 24
    • 0028766145 scopus 로고
    • Second order mathematical programming formulations for discriminant analysis
    • Duarte Silva, A. P., and Stam, A. (1994), "Second order mathematical programming formulations for discriminant analysis", European Journal of Operational Research 74, 4-22.
    • (1994) European Journal of Operational Research , vol.74 , pp. 4-22
    • Duarte Silva, A.P.1    Stam, A.2
  • 25
    • 0001352933 scopus 로고
    • Some examples of discrimination
    • Smith, C. (1947), "Some examples of discrimination", Annals of Eugenics 13, 272-282.
    • (1947) Annals of Eugenics , vol.13 , pp. 272-282
    • Smith, C.1
  • 26
    • 84986739471 scopus 로고
    • Classification performance of mathematical programming techniques in discriminant analysis: Results for small and medium sample sizes
    • Stam, A. and Jones, D. (1990), "Classification performance of mathematical programming techniques in discriminant analysis: Results for small and medium sample sizes", Managerial and Decision Economics 11 (4), 243-253.
    • (1990) Managerial and Decision Economics , vol.11 , Issue.4 , pp. 243-253
    • Stam, A.1    Jones, D.2
  • 27
    • 84989672546 scopus 로고
    • On the classification gap in mp-based approaches to the discriminant problem
    • Stam, A. and Ragsdale, C. (1992), "On the classification gap in MP-based approaches to the discriminant problem", Naval Research Logistics 39, 545-559.
    • (1992) Naval Research Logistics , vol.39 , pp. 545-559
    • Stam, A.1    Ragsdale, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.