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Volumn 07-09-January-2007, Issue , 2007, Pages 1207-1216

Polynomial approximation schemes for smoothed and random instances of multidimensional packing problems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION ALGORITHMS; APPROXIMATION THEORY; BINS; CLUSTERING ALGORITHMS; POLYNOMIALS;

EID: 84902084650     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (12)

References (13)
  • 2
    • 33646748373 scopus 로고    scopus 로고
    • Bin packing in multiple dimensions: Inapproximability results and approximation schemes
    • N. Bansal, J. R. Correa, C. Kenyon, and M. Sviridenko. Bin packing in multiple dimensions: Inapproximability results and approximation schemes. Mathematics of Operation Research, 31(1):31-49, 2006.
    • (2006) Mathematics of Operation Research , vol.31 , Issue.1 , pp. 31-49
    • Bansal, N.1    Correa, J.R.2    Kenyon, C.3    Sviridenko, M.4
  • 4
    • 4544371857 scopus 로고    scopus 로고
    • On multidimensional packing problems
    • C. Chekuri and S. Khanna. On multidimensional packing problems. SIAM Journal on Computing, 33(4):837-851, 2004.
    • (2004) SIAM Journal on Computing , vol.33 , Issue.4 , pp. 837-851
    • Chekuri, C.1    Khanna, S.2
  • 5
    • 0002026363 scopus 로고    scopus 로고
    • Approximation algorithms for bin packing: A survey
    • D. S. Hochbaum, editor, PWS Publishing Co., Boston, MA, USA, July
    • E. G. Coffman Jr., M. R. Garey, and D. S. Johnson. Approximation algorithms for bin packing: A survey. In D. S. Hochbaum, editor, Approximation Algorithms for NP-Hard Problems. PWS Publishing Co., Boston, MA, USA, July 1996.
    • (1996) Approximation Algorithms for NP-Hard Problems
    • Coffman, E.G.1    Garey, M.R.2    Johnson, D.S.3
  • 6
    • 0002706976 scopus 로고
    • The solution of some random NP-hard problems in polynomial expected time
    • M. E. Dyer and A. M. Frieze. The solution of some random NP-hard problems in polynomial expected time. Journal of Algorithms, 10(4):451-489, 1989.
    • (1989) Journal of Algorithms , vol.10 , Issue.4 , pp. 451-489
    • Dyer, M.E.1    Frieze, A.M.2
  • 7
    • 51249181640 scopus 로고
    • Bin packing can be solved within 1+⋯ in linear time
    • W. Fernandez de la Vega and G. Lueker. Bin packing can be solved within 1+⋯ in linear time. Combinatorica, 1:349-355, 1981.
    • (1981) Combinatorica , vol.1 , pp. 349-355
    • Fernandez De-La-Vega, W.1    Lueker, G.2
  • 8
    • 0000126406 scopus 로고
    • Minkowski's convex body theorem and integer programming
    • R. Kannan. Minkowski's convex body theorem and integer programming. Mathematics of Operations Research, 12:415-440, 1987.
    • (1987) Mathematics of Operations Research , vol.12 , pp. 415-440
    • Kannan, R.1
  • 11
    • 0020845921 scopus 로고
    • Integer programming with a fixed number of variables
    • H. Lenstra. Integer programming with a fixed number of variables. Mathematics of Operations Research, 8:538-548, 1983.
    • (1983) Mathematics of Operations Research , vol.8 , pp. 538-548
    • Lenstra, H.1
  • 12
    • 4243066295 scopus 로고    scopus 로고
    • Smoothed analysis: Why the simplex algorithm usually takes polynomial time
    • D. A. Spielman and S.-H. Teng. Smoothed analysis: Why the simplex algorithm usually takes polynomial time. Journal of the ACM, 51(3):385-463, 2004.
    • (2004) Journal of the ACM , vol.51 , Issue.3 , pp. 385-463
    • Spielman, D.A.1    Teng, S.-H.2
  • 13
    • 0000930151 scopus 로고    scopus 로고
    • There is no asymptotic PTAS for twodimensional vector packing
    • G. J. Woeginger. There is no asymptotic PTAS for twodimensional vector packing. Information Processing Letters, 64(6):293-297, 1997.
    • (1997) Information Processing Letters , vol.64 , Issue.6 , pp. 293-297
    • Woeginger, G.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.