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Markov chains, computer proofs, and average-case analysis of best fit bin packing
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Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the twenty-fifth annual ACM symposium on Theory of computing table of contents
San Diego, California, United States
Pages: 412 - 421  
Year of Publication: 1993
ISBN:0-89791-591-7
Authors
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 4,   Downloads (12 Months): 50,   Citation Count: 8
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
IEEE Standard for Binary Floating-Point Arithmetic, ANSI/IEEE Std 754-1985, Institute for Electrical and Electronic Engineers, Inc., New York, 1985.
 
2
J. L. BENTLEY, D. S. JOHNSON, F. T. LEIGHTON, AND C. C. McGEOC#, "An experimental study of bin packing," in Proc. 21st Ann. Allerton Conf. on Communication, Control, and Computing, University of Illinois, Urbana, IL, 1983, 51- 60.
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E. G. COFFMAN, JR, M. HOFm, K. So, AND A. C. YAO, "A stochastic model of bin packing," Information and Control 44 (1980), 105-115.
 
6
E. G. COFFMAN, JR AND G. S. LUEKER, Probabilistic Analysis of Packing and Partitioning, Wiley & Sons, New York, 1991.
 
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8
G. N. FREDERICKSON, "Probabilistic analysis for simple oneand two-dimensional bin packing algorithms," Inform. Process. Lett. 11 (1980), 156-161.
 
9
B. HAJEK, "Hitting-time and occupation-time bounds implied by drift analysis with applications," Adv. Appl. Prob. 14 (1982), 502-525.
 
10
D. S. JOHNSON, A. DEMERS, J. D. ULLMAN, M. R. G ARt#, AND R. L. GRAHAM, "Worst case performance bounds for simple one-dimensional packing algorithms," SIAM J. Cornput. 3 (1974), 299-325.
 
11
A. R. KARZIN, S. J. PIm.LIPS, AND P. RAGHAVAN, "Markov paging," in Proceedings 33rd Ann. Syrup. on Foundations of Computer Science,' IEEE Computer Society, Los Angeles, Calif., 1992, 208-217.
 
12
N. KARMARKAR, "Probabilistic analysis of some bin-packing algorithms," in Proceedings 23rd Ann. Syrup. on Foumtations of Computer Science,' IEEE Computer Society, Los Angeles, Calif., 1982, 107-111.
 
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14
H. KUSHNER, Introduction to Stochastic Control, Holt, Rinehart and Winston, Inc., New York, 1971.
 
15
G. S. LUEKER, "An average-case analysis of bin packing with uniformly distributed item sizes," Report No. 181, Depaxtment of information and Computer Science, University of California, Irvine, CA, 1982.
 
16
V. A. MALYSHEV, "Classification of two-dimensional positive random walks and almost-linear serni-martingale,%" Soviet Math. Dokl. 13 (1972), 136-139.
 
17
V. A. MALYSI-IEV AND M. V. MENSHIKOV, "Ergodicity, continuity and analyticity of countable Markov chains," Trudi. Moscow Matem. Obshch 39 (1979), in Russian. English version in Tram. Moscow Math. Soc., Issue 1 (1979), 1-48.
 
18
M. V. MENSHIKOV, "Ergodicity and transience conditions for random walks in the positive octant of space," Soviet Math. Dokl. 15 (1979),.
 
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CITED BY  8

Collaborative Colleagues:
E. G. Coffman, Jr.: colleagues
D. S. Johnson: colleagues
P. W. Shor: colleagues
R. R. Weber: colleagues