메뉴 건너뛰기




Volumn 1442, Issue , 1998, Pages 147-177

On-line packing and covering problems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84958955366     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/BFb0029568     Document Type: Conference Paper
Times cited : (130)

References (113)
  • 3
    • 0013361629 scopus 로고
    • Problems in Discrete Applied Mathematics
    • MIT, Cambridge, MA
    • S. F. Assmann. Problems in Discrete Applied Mathematics. PhD thesis, MIT, Cambridge, MA, 1983.
    • (1983) PhD thesis
    • Assmann, S.F.1
  • 6
    • 0002296629 scopus 로고
    • A new proof for the First-Fit decreasing bin-packing algorithm
    • B. S. Baker. A new proof for the First-Fit decreasing bin-packing algorithm. J. Algorithms, 6:49-70, 1985.
    • (1985) J. Algorithms , vol.6 , pp. 49-70
    • Baker, B.S.1
  • 7
    • 0000977860 scopus 로고
    • A 5/4 algorithm for two-dimensional packing
    • B. S. Baker, D. J. Brown, and H. P. Katseff. A 5/4 algorithm for two-dimensional packing. J. Algorithms, 2:348-368, 1981.
    • (1981) J. Algorithms , vol.2 , pp. 348-368
    • Baker, B.S.1    Brown, D.J.2    Katseff, H.P.3
  • 8
    • 0020206028 scopus 로고
    • Lower bounds for two-dimensional packing algorithms
    • B. S. Baker, D. J. Brown, and H. P. Katseff. Lower bounds for two-dimensional packing algorithms. Acta Informatica, 8:207-225, 1982.
    • (1982) Acta Informatica , vol.8 , pp. 207-225
    • Baker, B.S.1    Brown, D.J.2    Katseff, H.P.3
  • 9
    • 0042386632 scopus 로고
    • A tight asymptotic bound for Next-Fit-Decreasing bin-packing
    • B. S. Baker and E. G. Coffman. A tight asymptotic bound for Next-Fit-Decreasing bin-packing. SIAM J. Alg. Disc. Meth., 2:147-152, 1981.
    • (1981) SIAM J. Alg. Disc. Meth , vol.2 , pp. 147-152
    • Baker, B.S.1    Coffman, E.G.2
  • 11
    • 0000078264 scopus 로고
    • Shelf algorithms for two-dimensional packing problems
    • B. S. Baker and J. S. Schwartz. Shelf algorithms for two-dimensional packing problems. SIAM J. Comput., 12:508-525, 1983.
    • (1983) SIAM J. Comput , vol.12 , pp. 508-525
    • Baker, B.S.1    Schwartz, J.S.2
  • 12
    • 0024608634 scopus 로고
    • Expected performance of the shelf heuristic for two-dimensional packing
    • J. J. Bartholdi, J. H. vande Vate, and J. Zhang. Expected performance of the shelf heuristic for two-dimensional packing. Oper. Res. Lett., 8:11-16, 1989.
    • (1989) Oper. Res. Lett , vol.8 , pp. 11-16
    • Bartholdi, J.J.1    van de Vate, J.H.2    Zhang, J.3
  • 15
    • 0037487600 scopus 로고
    • A lower bound for on-line one-dimensional bin packing algorithms
    • Coordinated Sci. Lab., Urbana, Illinois
    • D. J. Brown. A lower bound for on-line one-dimensional bin packing algorithms. Technical Report R-864, Coordinated Sci. Lab., Urbana, Illinois, 1979.
    • (1979) Technical Report R-864
    • Brown, D.J.1
  • 16
    • 0442273644 scopus 로고
    • Can you win at Tetris?
    • The University of British Columbia
    • J. Brzustowski. Can you win at Tetris? Master’s thesis, The University of British Columbia, 1992.
    • (1992) Master’s thesis
    • Brzustowski, J.1
  • 17
    • 84959008447 scopus 로고    scopus 로고
    • How to lose at Tetris
    • The Geometry Center, Minneapolis, MN
    • H. Burgiel. How to lose at Tetris. Technical report, The Geometry Center, Minneapolis, MN, 1996.
    • (1996) Technical report
    • Burgiel, H.1
  • 18
    • 0026907995 scopus 로고
    • Does randomization help in on-line bin packing?
    • B. Chandra. Does randomization help in on-line bin packing? Inform. Process. Lett., 43:15-19, 1992.
    • (1992) Inform. Process. Lett , vol.43 , pp. 15-19
    • Chandra, B.1
  • 19
    • 0027698406 scopus 로고
    • Multidimensional on-line bin packing: An algorithm and its average-case analysis
    • E. E. Chang, W. Wang, and M. S. Kankanhalli. Multidimensional on-line bin packing: An algorithm and its average-case analysis. Inform. Process. Lett., 48:121-125, 1993.
    • (1993) Inform. Process. Lett , vol.48 , pp. 121-125
    • Chang, E.E.1    Wang, W.2    Kankanhalli, M.S.3
  • 21
    • 0020785053 scopus 로고
    • An introduction to combinatorial models of dynamic storage allocation
    • E. G. Coffman. An introduction to combinatorial models of dynamic storage allocation. SIAM Rev., 25:311-325, 1983.
    • (1983) SIAM Rev , vol.25 , pp. 311-325
    • Coffman, E.G.1
  • 23
    • 0002026363 scopus 로고    scopus 로고
    • Approximation algorithms for bin packing: A survey
    • D. Hochbaum, editor, PWS Publishing Company
    • E. G. Coffman, M. R. Garey, and D. S. Johnson. Approximation algorithms for bin packing: a survey. In D. Hochbaum, editor, Approximation algorithms for NP-hard Problems, pages 46-93. PWS Publishing Company, 1997.
    • (1997) Approximation algorithms for NP-hard Problems , pp. 46-93
    • Coffman, E.G.1    Garey, M.R.2    Johnson, D.S.3
  • 26
    • 0023983999 scopus 로고
    • Asymptotic methods in the probabilistic analysis of sequencing and packing heuristics
    • E. G. Coffman, G. S. Lueker, and A. H. G. Rinnooy Kan. Asymptotic methods in the probabilistic analysis of sequencing and packing heuristics. Management Science, 34:266-290, 1988.
    • (1988) Management Science , vol.34 , pp. 266-290
    • Coffman, E.G.1    Lueker, G.S.2    Rinnooy Kan, A.H.G.3
  • 27
    • 0027558279 scopus 로고
    • Packing in two dimensions: Asymptotic average-case analysis of algorithms
    • E. G. Coffman and P. W. Shor. Packing in two dimensions: asymptotic average-case analysis of algorithms. Algorithmica, 9:253-277, 1993.
    • (1993) Algorithmica , vol.9 , pp. 253-277
    • Coffman, E.G.1    Shor, P.W.2
  • 29
    • 0024608736 scopus 로고
    • Multidimensional on-line bin packing: Algorithms and worst case analysis
    • D. Coppersmith and P. Raghavan. Multidimensional on-line bin packing: Algorithms and worst case analysis. Oper. Res. Lett., 8:17-20, 1989.
    • (1989) Oper. Res. Lett , vol.8 , pp. 17-20
    • Coppersmith, D.1    Raghavan, P.2
  • 30
    • 0022760721 scopus 로고
    • Bin-packing as a random walk: A note on Knoedels paper
    • J. Csirik. Bin-packing as a random walk: a note on Knoedels paper. Oper. Res. Lett., 5:161-163., 1986.
    • (1986) Oper. Res. Lett , vol.5 , pp. 161-163
    • Csirik, J.1
  • 31
    • 0024898776 scopus 로고
    • An on-line algorithm for variable-sized bin packing
    • J. Csirik. An on-line algorithm for variable-sized bin packing. Acta Informatica, 26:697-709, 1989.
    • (1989) Acta Informatica , vol.26 , pp. 697-709
    • Csirik, J.1
  • 32
    • 38249002898 scopus 로고
    • The parametric behaviour of the First Fit decreasing bin-packing algorithm
    • J. Csirik. The parametric behaviour of the First Fit decreasing bin-packing algorithm. J. Algorithms, 15:1-28, 1993.
    • (1993) J. Algorithms , vol.15 , pp. 1-28
    • Csirik, J.1
  • 33
    • 0013459301 scopus 로고
    • Probabilistic analysis of algorithms for dual bin packing problems
    • J. Csirik, J. B. G. Frenk, G. Galambos, and A. H. G. Rinnooy Kan. Probabilistic analysis of algorithms for dual bin packing problems. J. Algorithms, 12:189-203, 1991.
    • (1991) J. Algorithms , vol.12 , pp. 189-203
    • Csirik, J.1    Frenk, J.B.G.2    Galambos, G.3    Rinnooy Kan, A.H.G.4
  • 34
    • 38248998797 scopus 로고
    • Two dimensional rectangle packing: On line methods and results
    • J. Csirik, J. B. G. Frenk, and M. Labbe. Two dimensional rectangle packing: on line methods and results. Discr. Appl. Math., 45:197-204, 1993.
    • (1993) Discr. Appl. Math , vol.45 , pp. 197-204
    • Csirik, J.1    Frenk, J.B.G.2    Labbe, M.3
  • 35
    • 0022579096 scopus 로고
    • An O(n) bin packing algorithm for uniformly distributed data
    • J. Csirik and G. Galambos. An O(n) bin packing algorithm for uniformly distributed data. Computing, 36:313-319, 1986.
    • (1986) Computing , vol.36 , pp. 313-319
    • Csirik, J.1    Galambos, G.2
  • 36
    • 84957921354 scopus 로고
    • A lower bound on on-line algorithms for decreasing lists
    • J. Csirik, G. Galambos, and G. Turán. A lower bound on on-line algorithms for decreasing lists. In Proc. of EURO VI, 1984.
    • (1984) Proc. of EURO VI
    • Csirik, J.1    Galambos, G.2    Turán, G.3
  • 37
    • 0242281130 scopus 로고
    • On the worst-case performance of the NkF bin packing heuristic
    • J. Csirik and B. Imreh. On the worst-case performance of the NkF bin packing heuristic. Acta Cybernetica, 9:89-105, 1989.
    • (1989) Acta Cybernetica , vol.9 , pp. 89-105
    • Csirik, J.1    Imreh, B.2
  • 39
    • 84974857724 scopus 로고
    • The probabilistic behaviour of the NFD bin-packing heuristic
    • J. Csirik and E. Máté. The probabilistic behaviour of the NFD bin-packing heuristic. Acta Cybernetica, 7:241-246, 1986.
    • (1986) Acta Cybernetica , vol.7 , pp. 241-246
    • Csirik, J.1    Máté, E.2
  • 40
    • 0013361630 scopus 로고
    • On-line algorithms for a dual version of bin packing
    • J. Csirik and V. Totik. On-line algorithms for a dual version of bin packing. Discr. Appl. Math., 21:163-167, 1988.
    • (1988) Discr. Appl. Math , vol.21 , pp. 163-167
    • Csirik, J.1    Totik, V.2
  • 41
    • 0027576155 scopus 로고
    • An on-line algorithm for multidimensional bin packing
    • J. Csirik and A. Van Vliet. An on-line algorithm for multidimensional bin packing. Oper. Res. Lett., 13:149-158, 1993.
    • (1993) Oper. Res. Lett , vol.13 , pp. 149-158
    • Csirik, J.1    Van Vliet, A.2
  • 42
    • 0031208173 scopus 로고    scopus 로고
    • Shelf algorithms for on-line strip packing
    • J. Csirik and G. J. Woeginger. Shelf algorithms for on-line strip packing. Inform. Process. Lett., 63:171-175, 1997.
    • (1997) Inform. Process. Lett , vol.63 , pp. 171-175
    • Csirik, J.1    Woeginger, G.J.2
  • 43
    • 0242281128 scopus 로고
    • Probabilistic analysis for simple one- and two-dimensional bin packing algorithms
    • G. N. Frederickson. Probabilistic analysis for simple one- and two-dimensional bin packing algorithms. Inform. Process. Lett., 11:156-161, 1980.
    • (1980) Inform. Process. Lett , vol.11 , pp. 156-161
    • Frederickson, G.N.1
  • 44
  • 45
    • 0038649238 scopus 로고
    • Parametric lower bounds for on-line bin packing
    • G. Galambos. Parametric lower bounds for on-line bin packing. SIAM J. Alg. Disc. Meth., 7:362-367, 1986.
    • (1986) SIAM J. Alg. Disc. Meth , vol.7 , pp. 362-367
    • Galambos, G.1
  • 47
    • 0026371815 scopus 로고
    • A 1.6 lower bound for the two-dimensional on-line rectangle bin packing
    • G. Galambos. A 1.6 lower bound for the two-dimensional on-line rectangle bin packing. Acta Cybernetica, 10:21-24, 1991.
    • (1991) Acta Cybernetica , vol.10 , pp. 21-24
    • Galambos, G.1
  • 48
    • 38249005356 scopus 로고
    • A simple proof of Liang’s lower bound for online bin packing and the extension to the parametric case
    • G. Galambos and J. B. G. Frenk. A simple proof of Liang’s lower bound for online bin packing and the extension to the parametric case. Discr. Appl. Math., 41:173-178, 1993.
    • (1993) Discr. Appl. Math , vol.41 , pp. 173-178
    • Galambos, G.1    Frenk, J.B.G.2
  • 49
    • 10044247985 scopus 로고
    • A lower bound for on-line vector packing algorithms
    • G. Galambos, H. Kellerer, and G. J. Woeginger. A lower bound for on-line vector packing algorithms. Acta Cybernetica, 11:23-34, 1994.
    • (1994) Acta Cybernetica , vol.11 , pp. 23-34
    • Galambos, G.1    Kellerer, H.2    Woeginger, G.J.3
  • 50
    • 0028729885 scopus 로고
    • Lower bounds for 1-, 2-, and 3-dimensional online bin packing algorithms
    • G. Galambos and A. Van Vliet. Lower bounds for 1-, 2-, and 3-dimensional online bin packing algorithms. Computing, 52:281-297, 1994.
    • (1994) Computing , vol.52 , pp. 281-297
    • Galambos, G.1    Van Vliet, A.2
  • 51
    • 3242820591 scopus 로고
    • Repacking helps in bounded space on-line bin packing
    • G. Galambos and G. J. Woeginger. Repacking helps in bounded space on-line bin packing. Computing, 49:329-338, 1993.
    • (1993) Computing , vol.49 , pp. 329-338
    • Galambos, G.1    Woeginger, G.J.2
  • 55
    • 84971847776 scopus 로고
    • Covering and packing properties of bounded sequences of convex sets
    • H. Groemer. Covering and packing properties of bounded sequences of convex sets. Mathematika, 29:18-31, 1982.
    • (1982) Mathematika , vol.29 , pp. 18-31
    • Groemer, H.1
  • 57
    • 0020280013 scopus 로고
    • A class of simple stochastic on-line bin packing algorithms
    • U. Hoffman. A class of simple stochastic on-line bin packing algorithms. Computing, 29:227-239, 1982.
    • (1982) Computing , vol.29 , pp. 227-239
    • Hoffman, U.1
  • 58
    • 0019004183 scopus 로고
    • Two-dimensional packing: Expected performance of simple level algorithms
    • M. Hofri. Two-dimensional packing: Expected performance of simple level algorithms. Information and Control, 45:1-17, 1980.
    • (1980) Information and Control , vol.45 , pp. 1-17
    • Hofri, M.1
  • 59
    • 0010063131 scopus 로고
    • A probabilistic analysis of the Next-Fit bin packing algorithm
    • M. Hofri. A probabilistic analysis of the Next-Fit bin packing algorithm. J. Algorithms, 5:547-556, 1984.
    • (1984) J. Algorithms , vol.5 , pp. 547-556
    • Hofri, M.1
  • 61
    • 38249040658 scopus 로고
    • A stochastic analysis of the NFD bin packing algorithm
    • M. Hofri and S. Kahmi. A stochastic analysis of the NFD bin packing algorithm. J. Algorithms, 7:489-509, 1986.
    • (1986) J. Algorithms , vol.7 , pp. 489-509
    • Hofri, M.1    Kahmi, S.2
  • 62
    • 84886407555 scopus 로고
    • Fully dynamic algorithms for bin packing: Being myopic helps
    • LNCS, Springer
    • Z. Ivkovic and E. Lloyd. Fully dynamic algorithms for bin packing: Being myopic helps. In Proc. 1st European Symposium on Algorithms, LNCS, pages 224-235. Springer, 1993.
    • (1993) Proc. 1st European Symposium on Algorithms , pp. 224-235
    • Ivkovic, Z.1    Lloyd, E.2
  • 63
    • 0042040478 scopus 로고    scopus 로고
    • A fundamental restriction on fully dynamic maintenance of bin packing
    • Z. Ivkovic and E. Lloyd. A fundamental restriction on fully dynamic maintenance of bin packing. Inform. Process. Lett., 59:229-232, 1996.
    • (1996) Inform. Process. Lett , vol.59 , pp. 229-232
    • Ivkovic, Z.1    Lloyd, E.2
  • 64
    • 14844351800 scopus 로고    scopus 로고
    • Partially dynamic bin packing can be solved within 1+eps in (amortized) polylogaritmic time
    • Z. Ivkovic and E. Lloyd. Partially dynamic bin packing can be solved within 1+eps in (amortized) polylogaritmic time. Inform. Process. Lett., 63:45-50, 1997.
    • (1997) Inform. Process. Lett , vol.63 , pp. 45-50
    • Ivkovic, Z.1    Lloyd, E.2
  • 65
    • 84892290116 scopus 로고
    • On-line covering by boxes and by covex bodies
    • J. Januszewski and M. Lassak. On-line covering by boxes and by covex bodies. Bull. Pol. Acad. Math., 42:69-76, 1994.
    • (1994) Bull. Pol. Acad. Math , vol.42 , pp. 69-76
    • Januszewski, J.1    Lassak, M.2
  • 66
    • 51649132972 scopus 로고
    • On-line covering the unit cube by cubes
    • J. Januszewski and M. Lassak. On-line covering the unit cube by cubes. Discrete Comput. Geom., 12:433-438, 1994.
    • (1994) Discrete Comput. Geom , vol.12 , pp. 433-438
    • Januszewski, J.1    Lassak, M.2
  • 67
    • 84958961609 scopus 로고
    • Efficient on-line covering of large cubes by convex bodies of at most unit diameters
    • J. Januszewski and M. Lassak. Efficient on-line covering of large cubes by convex bodies of at most unit diameters. Bull. Pol. Acad. Math., 43:305-315, 1995.
    • (1995) Bull. Pol. Acad. Math , vol.43 , pp. 305-315
    • Januszewski, J.1    Lassak, M.2
  • 68
    • 76849103810 scopus 로고
    • On-line covering the unit square by squares and the three-dimensional unit cube by cubes
    • J. Januszewski and M. Lassak. On-line covering the unit square by squares and the three-dimensional unit cube by cubes. Demonstratio Math., 28:143-149, 1995.
    • (1995) Demonstratio Math , vol.28 , pp. 143-149
    • Januszewski, J.1    Lassak, M.2
  • 70
    • 37449031133 scopus 로고    scopus 로고
    • On-line q-adic covering by the method of the n-th segment and its application to on-line covering by cubes
    • J. Januszewski, M. Lassak, G. Rote, and G. J. Woeginger. On-line q-adic covering by the method of the n-th segment and its application to on-line covering by cubes. Beitr. Algebra Geom., 37:94-100, 1996.
    • (1996) Beitr. Algebra Geom , vol.37 , pp. 94-100
    • Januszewski, J.1    Lassak, M.2    Rote, G.3    Woeginger, G.J.4
  • 71
    • 0003622855 scopus 로고
    • Near-optimal bin packing algorithms
    • MIT, Cambridge, MA
    • D. S. Johnson. Near-optimal bin packing algorithms. PhD thesis, MIT, Cambridge, MA, 1973.
    • (1973) PhD thesis
    • Johnson, D.S.1
  • 72
    • 0016069667 scopus 로고
    • Fast algorithms for bin packing
    • D. S. Johnson. Fast algorithms for bin packing. J. Comput. System Sci., 8:272-314, 1974.
    • (1974) J. Comput. System Sci , vol.8 , pp. 272-314
    • Johnson, D.S.1
  • 73
    • 0000339680 scopus 로고
    • Worst-case performance bounds for simple one-dimensional packing algorithms
    • D. S. Johnson, A. Demers, J. D. Ullman, M. R. Garey, and R. L. Graham. Worst-case performance bounds for simple one-dimensional packing algorithms. SIAM J. Comput., 3:256-278, 1974.
    • (1974) SIAM J. Comput , vol.3 , pp. 256-278
    • Johnson, D.S.1    Demers, A.2    Ullman, J.D.3    Garey, M.R.4    Graham, R.L.5
  • 74
    • 0020253021 scopus 로고
    • Probabilistic analysis of some bin packing algorithms
    • N. Karmarkar. Probabilistic analysis of some bin packing algorithms. In Proc. 23rd IEEE Symp. Found. Comp. Sci., pages 107-118, 1982.
    • (1982) Proc. 23rd IEEE Symp. Found. Comp. Sci , pp. 107-118
    • Karmarkar, N.1
  • 77
    • 85031920446 scopus 로고
    • A bin packing algorithm with complexity o(n log n) and performance 1 in the stochastic limit
    • J. Gruska and M. Chytil, editors, LNCS, Springer
    • W. Knoedel. A bin packing algorithm with complexity o(n log n) and performance 1 in the stochastic limit. In J. Gruska and M. Chytil, editors, Proc. 10th Symp. Math. Found. Comp. Science, LNCS, pages 369-378. Springer, 1981.
    • (1981) Proc. 10th Symp. Math. Found. Comp. Science , pp. 369-378
    • Knoedel, W.1
  • 78
    • 84892334460 scopus 로고
    • Ueber das mittlere Verhalten von on-line Packungsalgorithmen
    • W. Knoedel. Ueber das mittlere Verhalten von on-line Packungsalgorithmen. EIK, 19:427-433, 1983.
    • (1983) EIK , vol.19 , pp. 427-433
    • Knoedel, W.1
  • 80
    • 51649144106 scopus 로고
    • On-line covering a cube by a sequence of cubes
    • W. Kuperberg. On-line covering a cube by a sequence of cubes. Discrete Comput. Geom., 12:83-90, 1994.
    • (1994) Discrete Comput. Geom , vol.12 , pp. 83-90
    • Kuperberg, W.1
  • 81
    • 84958983484 scopus 로고
    • On-line covering a box by cubes
    • M. Lassak. On-line covering a box by cubes. Beitr. Algebra Geom., 36:1-7, 1995.
    • (1995) Beitr. Algebra Geom , vol.36 , pp. 1-7
    • Lassak, M.1
  • 82
  • 83
    • 0022093691 scopus 로고
    • A simple on-line bin packing algorithm
    • C. C. Lee and D. T. Lee. A simple on-line bin packing algorithm. J. Assoc. Comput. Math., 32:562-572, 1985.
    • (1985) J. Assoc. Comput. Math , vol.32 , pp. 562-572
    • Lee, C.C.1    Lee, D.T.2
  • 84
    • 37449023860 scopus 로고
    • Robust on-line bin packing algorithms
    • Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, IL
    • C. C. Lee and D. T. Lee. Robust on-line bin packing algorithms. Technical Report 83-03-FC-02, Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, IL, 1987.
    • (1987) Technical Report 83-03-FC-02
    • Lee, C.C.1    Lee, D.T.2
  • 85
    • 0002162067 scopus 로고
    • Tight bounds for minimax grid matching with applications to the average case analysis of algorithms
    • F. T. Leighton and P. Shor. Tight bounds for minimax grid matching with applications to the average case analysis of algorithms. Combinatorica, 9:161-187, 1989.
    • (1989) Combinatorica , vol.9 , pp. 161-187
    • Leighton, F.T.1    Shor, P.2
  • 86
    • 38249009313 scopus 로고
    • Heuristic algorithms for on-line packing in three dimensions
    • K. Li and K. H. Cheng. Heuristic algorithms for on-line packing in three dimensions. J. Algorithms, 13:589-605, 1992.
    • (1992) J. Algorithms , vol.13 , pp. 589-605
    • Li, K.1    Cheng, K.H.2
  • 87
    • 0006683440 scopus 로고
    • A lower bound for on-line bin packing
    • F. M. Liang. A lower bound for on-line bin packing. Inform. Process. Lett., 10:76-79, 1980.
    • (1980) Inform. Process. Lett , vol.10 , pp. 76-79
    • Liang, F.M.1
  • 88
    • 0006187724 scopus 로고
    • An average-case analysis of bin packing with uniformly distributed item sizes
    • Dept. Information and Computer Science, University of California at Irvine
    • G. S. Lueker. An average-case analysis of bin packing with uniformly distributed item sizes. Technical Report 181, Dept. Information and Computer Science, University of California at Irvine, 1982.
    • (1982) Technical Report 181
    • Lueker, G.S.1
  • 89
    • 0008161179 scopus 로고
    • Best-k-Fit bin packing
    • W. Mao. Best-k-Fit bin packing. Computing, 50:265-270, 1993.
    • (1993) Computing , vol.50 , pp. 265-270
    • Mao, W.1
  • 90
    • 0027542633 scopus 로고
    • Tight worst-case performance bounds for Next-k-Fit bin packing
    • W. Mao. Tight worst-case performance bounds for Next-k-Fit bin packing. SIAM J. Comput., 22:46-56, 1993.
    • (1993) SIAM J. Comput , vol.22 , pp. 46-56
    • Mao, W.1
  • 91
    • 0008529353 scopus 로고
    • On packing of squares and cubes
    • A. Meir and L. Moser. On packing of squares and cubes. J. Combin. Theory, 5:126-134, 1968.
    • (1968) J. Combin. Theory , vol.5 , pp. 126-134
    • Meir, A.1    Moser, L.2
  • 92
    • 0021491060 scopus 로고
    • Probabilistic analysis of bin packing heuristics
    • H. L. Ong, M. J. Magazine, and T. S. Wee. Probabilistic analysis of bin packing heuristics. Oper. Res., 5:983-998, 1984.
    • (1984) Oper. Res , vol.5 , pp. 983-998
    • Ong, H.L.1    Magazine, M.J.2    Wee, T.S.3
  • 93
    • 0024684171 scopus 로고
    • Average case analysis of the Smart Next Fit algorithm
    • P. Ramanan. Average case analysis of the Smart Next Fit algorithm. Inform. Process. Lett., 31:221-225, 1989.
    • (1989) Inform. Process. Lett , vol.31 , pp. 221-225
    • Ramanan, P.1
  • 95
    • 52449149097 scopus 로고
    • Average case analysis of the modified harmonic algorithm
    • P. Ramanan and K. Tsuga. Average case analysis of the modified harmonic algorithm. Algorithmica, 4:519-533, 1989.
    • (1989) Algorithmica , vol.4 , pp. 519-533
    • Ramanan, P.1    Tsuga, K.2
  • 96
    • 0024748751 scopus 로고
    • The complete convergence of best fit decreasing
    • W. T. Rhee and M. Talagrand. The complete convergence of best fit decreasing. SIAM J. Comput., 18:909-918, 1989.
    • (1989) SIAM J. Comput , vol.18 , pp. 909-918
    • Rhee, W.T.1    Talagrand, M.2
  • 97
    • 0024748867 scopus 로고
    • The complete convergence of first fit decreasing
    • W. T. Rhee and M. Talagrand. The complete convergence of first fit decreasing. SIAM J. Comput., 18:919-938, 1989.
    • (1989) SIAM J. Comput , vol.18 , pp. 919-938
    • Rhee, W.T.1    Talagrand, M.2
  • 98
    • 26844552317 scopus 로고
    • Dual bin packing of items of random size
    • W. T. Rhee and M. Talagrand. Dual bin packing of items of random size. Math. Progr., 58:229-242, 1993.
    • (1993) Math. Progr , vol.58 , pp. 229-242
    • Rhee, W.T.1    Talagrand, M.2
  • 99
    • 0006262885 scopus 로고
    • On line bin packing with items of random size
    • W. T. Rhee and M. Talagrand. On line bin packing with items of random size. Math. Oper. Res., 18:438-445, 1993.
    • (1993) Math. Oper. Res , vol.18 , pp. 438-445
    • Rhee, W.T.1    Talagrand, M.2
  • 100
    • 0027843637 scopus 로고
    • On line bin packing with items of random sizes - Ii
    • W. T. Rhee and M. Talagrand. On line bin packing with items of random sizes - ii. SIAM J. Comput., 22:1252-1256, 1993.
    • (1993) SIAM J. Comput , vol.22 , pp. 1252-1256
    • Rhee, W.T.1    Talagrand, M.2
  • 101
    • 0000127802 scopus 로고
    • Improved bounds for harmonic-based bin packing algorithms
    • M. B. Richey. Improved bounds for harmonic-based bin packing algorithms. Discr. Appl. Math., 34:203-227, 1991.
    • (1991) Discr. Appl. Math , vol.34 , pp. 203-227
    • Richey, M.B.1
  • 102
    • 0017543584 scopus 로고
    • Performance of heuristic bin packing algorithms with segments of random length
    • S. D. Shapiro. Performance of heuristic bin packing algorithms with segments of random length. Inf. and Cont., 35:146-148, 1977.
    • (1977) Inf. and Cont , vol.35 , pp. 146-148
    • Shapiro, S.D.1
  • 103
    • 51249179448 scopus 로고
    • The average-case analysis of some on-line algorithms for bin packing
    • P. W. Shor. The average-case analysis of some on-line algorithms for bin packing. Combinatorica, 6:179-200, 1986.
    • (1986) Combinatorica , vol.6 , pp. 179-200
    • Shor, P.W.1
  • 104
    • 0026385076 scopus 로고
    • How to pack better than Best-Fit: Tight bounds for average-case online bin packing
    • P. W. Shor. How to pack better than Best-Fit: Tight bounds for average-case online bin packing. In Proc. 32nd IEEE Symp. Found. Comp, Sci., pages 752-759, 1991.
    • (1991) Proc. 32nd IEEE Symp. Found. Comp, Sci , pp. 752-759
    • Shor, P.W.1
  • 105
    • 0018985279 scopus 로고
    • A 2.5 times optimal algorithm for packing in two dimensions
    • D. D. K. D. B. Sleator. A 2.5 times optimal algorithm for packing in two dimensions. Inform. Process. Lett., 10:37-40, 1976.
    • (1976) Inform. Process. Lett , vol.10 , pp. 37-40
    • Sleator, D.1
  • 106
    • 0027112860 scopus 로고
    • An improved lower bound for on-line bin packing algorithms
    • A. Van Vliet. An improved lower bound for on-line bin packing algorithms. Inform. Process. Lett., 43:277-284, 1992.
    • (1992) Inform. Process. Lett , vol.43 , pp. 277-284
    • Van Vliet, A.1
  • 107
    • 0003416286 scopus 로고
    • Lower and upper bounds for on-line bin packing and scheduling heuristics
    • Erasmus University, Rotterdam, The Netherlands
    • A. Van Vliet. Lower and upper bounds for on-line bin packing and scheduling heuristics. PhD thesis, Erasmus University, Rotterdam, The Netherlands, 1995.
    • (1995) PhD thesis
    • Van Vliet, A.1
  • 108
    • 0030371953 scopus 로고    scopus 로고
    • On the asymptotic worst case behaviour of harmonic fit
    • A. Van Vliet. On the asymptotic worst case behaviour of harmonic fit. J. Algorithms, 20:113-136, 1996.
    • (1996) J. Algorithms , vol.20 , pp. 113-136
    • Van Vliet, A.1
  • 109
    • 0041636803 scopus 로고
    • Improved space for bounded-space on-line bin packing
    • G. J. Woeginger. Improved space for bounded-space on-line bin packing. SIAM J. Discr. Math., 6:575-581, 1993.
    • (1993) SIAM J. Discr. Math , vol.6 , pp. 575-581
    • Woeginger, G.J.1
  • 110
    • 84958987494 scopus 로고    scopus 로고
    • Optimal on-line algorithms for variable-sized bin covering
    • TU Graz, Austria
    • G. J. Woeginger and G. Zhang. Optimal on-line algorithms for variable-sized bin covering. Technical Report Woe-022, TU Graz, Austria, 1998.
    • (1998) Technical Report Woe-022
    • Woeginger, G.J.1    Zhang, G.2
  • 111
    • 0019005216 scopus 로고
    • New algorithms for bin packing
    • A. C. C. Yao. New algorithms for bin packing. J. Assoc. Comput. Math., 27:207-227, 1980.
    • (1980) J. Assoc. Comput. Math , vol.27 , pp. 207-227
    • Yao, A.C.C.1
  • 112
    • 84958959302 scopus 로고
    • A tight worst-case performance bound for AFB-k
    • Institute of Applied Mathematics, Academia Sinica, Beijing, China
    • G. Zhang. A tight worst-case performance bound for AFB-k. Technical Report 015, Institute of Applied Mathematics, Academia Sinica, Beijing, China, 1994.
    • (1994) Technical Report 015
    • Zhang, G.1
  • 113
    • 0029751899 scopus 로고    scopus 로고
    • Worst-case analysis of the FFH algorithm for on-line variable-sized bin packing
    • G. Zhang. Worst-case analysis of the FFH algorithm for on-line variable-sized bin packing. Computing, 56:165-172, 1996.
    • (1996) Computing , vol.56 , pp. 165-172
    • Zhang, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.