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Volumn 102, Issue 1, 1999, Pages 169-192

Interior-point methods with decomposition for solving large-scale linear programs

Author keywords

Algorithmic complexity; Dantzig Wolfe decomposition; Interior point methods; Large scale linear programming

Indexed keywords

COMPUTATIONAL COMPLEXITY; PARALLEL PROCESSING SYSTEMS; POLYNOMIAL APPROXIMATION; PROBLEM SOLVING;

EID: 0033246170     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021850714072     Document Type: Article
Times cited : (18)

References (16)
  • 2
    • 0000949338 scopus 로고
    • Decomposition and nondifferentiable optimization with the projective algorithm
    • GOFFIN, J. L., HAURIE, A., and VIAL, J. P., Decomposition and Nondifferentiable Optimization with the Projective Algorithm, Management Science, Vol. 38, pp. 284-302, 1992.
    • (1992) Management Science , vol.38 , pp. 284-302
    • Goffin, J.L.1    Haurie, A.2    Vial, J.P.3
  • 3
    • 0030303856 scopus 로고    scopus 로고
    • Complexity analysis of an interior cutting plane method for convex feasibility problems
    • GOFFIN, J. L., LUO, Z. Q., and YE, Y., Complexity Analysis of an Interior Cutting Plane Method for Convex Feasibility Problems, SIAM Journal on Optimization, Vol. 63, pp. 638-652, 1996.
    • (1996) SIAM Journal on Optimization , vol.63 , pp. 638-652
    • Goffin, J.L.1    Luo, Z.Q.2    Ye, Y.3
  • 5
    • 0009218136 scopus 로고
    • A new method for solving a set of linear (convex) inequalities and its application for identification and optimization
    • Budapest, Hungary, Edited by B. Martos, Pergamon Press, Oxford, England
    • SONNEVEND, G., A New Method for Solving a Set of Linear (Convex) Inequalities and Its Application for Identification and Optimization, Proceedings of the 5th IFAC-IFORS Conference, Budapest, Hungary, 1986; Edited by B. Martos, Pergamon Press, Oxford, England, 1987.
    • (1986) Proceedings of the 5th IFAC-IFORS Conference
    • Sonnevend, G.1
  • 7
    • 21844495838 scopus 로고
    • Approximation in proximal bundle methods and decomposition of convex programs
    • KIWIEL, K. C., Approximation in Proximal Bundle Methods and Decomposition of Convex Programs, Journal of Optimization Theory and Applications, Vol. 84, pp. 529-548, 1995.
    • (1995) Journal of Optimization Theory and Applications , vol.84 , pp. 529-548
    • Kiwiel, K.C.1
  • 8
    • 0000091855 scopus 로고
    • A version of the bundle idea for minimizing a nonsmooth function: Conception idea, convergence analysis, numerical results
    • SCHRAMM, H., and ZOWE, J., A Version of the Bundle Idea for Minimizing a Nonsmooth Function: Conception Idea, Convergence Analysis, Numerical Results, SIAM Journal on Optimization, Vol. 2, pp. 121-152, 1992.
    • (1992) SIAM Journal on Optimization , vol.2 , pp. 121-152
    • Schramm, H.1    Zowe, J.2
  • 9
    • 0001659901 scopus 로고
    • Interior-point methods for linear programming: Just call Newton, Lagrange, and Fiacco and Mccormick!
    • MARSTEN, R., SUBRAMANIAN, R., SALTZMAN, M., LUSTIG, I. J., and SHANNO, D., Interior-Point Methods for Linear Programming: Just Call Newton, Lagrange, and Fiacco and McCormick!, Interfaces, Vol. 20, pp. 105-116, 1990.
    • (1990) Interfaces , vol.20 , pp. 105-116
    • Marsten, R.1    Subramanian, R.2    Saltzman, M.3    Lustig, I.J.4    Shanno, D.5
  • 10
    • 0026876871 scopus 로고
    • Path following methods for linear programming
    • GONZAGA, C. C., Path Following Methods for Linear Programming, SIAM Review, Vol. 34, pp. 167-227, 1992.
    • (1992) SIAM Review , vol.34 , pp. 167-227
    • Gonzaga, C.C.1
  • 11
    • 0000836925 scopus 로고
    • On adaptive-step primal-dual interior-point algorithms for linear programming
    • MIZUNO, S., TODD, M. J., and YE, Y., On Adaptive-Step Primal-Dual Interior-Point Algorithms for Linear Programming, Mathematics of Operations Research, Vol. 18, pp. 964-981, 1993.
    • (1993) Mathematics of Operations Research , vol.18 , pp. 964-981
    • Mizuno, S.1    Todd, M.J.2    Ye, Y.3
  • 12
    • 0002573374 scopus 로고
    • Estimating the complexity of a class of path-following methods for solving linear programming by curvature integrals
    • ZHAO, G., and STOER, J., Estimating the Complexity of a Class of Path-Following Methods for Solving Linear Programming by Curvature Integrals, Applied Mathematics and Optimization, Vol. 27, pp. 85-103, 1993.
    • (1993) Applied Mathematics and Optimization , vol.27 , pp. 85-103
    • Zhao, G.1    Stoer, J.2
  • 14
    • 0001238788 scopus 로고
    • Computing block-angular Karmarkar projections with applications to stochastic programming
    • BIRGE, J. R., and QI, L., Computing Block-Angular Karmarkar Projections with Applications to Stochastic Programming, Management Science, Vol. 34, pp. 1472-1479, 1988.
    • (1988) Management Science , vol.34 , pp. 1472-1479
    • Birge, J.R.1    Qi, L.2
  • 15
    • 0027911624 scopus 로고
    • Exploiting special structure in a primal-dual path-following algorithm
    • CHOI, I. C., and GOLDFARB, F., Exploiting Special Structure in a Primal-Dual Path-Following Algorithm, Mathematical Programming, Vol. 58, pp. 33-52, 1993.
    • (1993) Mathematical Programming , vol.58 , pp. 33-52
    • Choi, I.C.1    Goldfarb, F.2
  • 16
    • 0024013802 scopus 로고
    • Exploiting special structure in Karmarkar's linear programming algorithm
    • TODD, M. J., Exploiting Special Structure in Karmarkar's Linear Programming Algorithm, Mathematical Programming, Vol. 41, pp. 97-113, 1988.
    • (1988) Mathematical Programming , vol.41 , pp. 97-113
    • Todd, M.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.