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Adversarial queuing theory
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Source Journal of the ACM (JACM) archive
Volume 48 ,  Issue 1  (January 2001) table of contents
Pages: 13 - 38  
Year of Publication: 2001
ISSN:0004-5411
Authors
Allan Borodin  Univ. of Toronto, Toronto, Ont., Canada
Jon Kleinberg  Cornell Univ., Ithaca, NY
Prabhakar Raghavan  IBM Almaden Research Center, San Jose, CA
Madhu Sudan  Massachusetts Institute of Technology, Cambridge
David P. Williamson  IBM T.J. Watson Research Center, Yorktown Heights, NY
Publisher
ACM  New York, NY, USA
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ABSTRACT

We consider packet routing when packets are injected continuously into a network. We develop an adversarial theory of queuing aimed at addressing some of the restrictions inherent in probabilistic analysis and queuing theory based on time-invariant stochastic generation. We examine the stability of queuing networks and policies when the arrival process is adversarial, and provide some preliminary results in this direction. Our approach sheds light on various queuing policies in simple networks, and paves the way for a systematic study of queuing with few or no probabilistic assumptions.


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.

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2
3
 
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5
 
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BERTSIMAS, D., GAMARNIK, D., AND TSITSIKLIS, J. N. 1996. Stability conditions for multiclass fluid queuing networks. IEEE Trans. Automat. Cont. 41 (Nov.), 1618-1631.
7
 
8
BORODIN, A., OSTROVSKY, R., AND RABANI, Y. 2001. Routing networks with speeds and capacities. In Proceedings of the 12th Annual ACM-SIAM Symposium on Theory of Computing. ACM, New York.
 
9
BRAMSON, M. 1994a. Instability of FIFO queuing networks. Ann. Appl. Prob. 4, 414-431.
 
10
BRAMSON, M. 1994b. Instability of FIFO queuing networks with quick service times. Ann. Appl. Prob. 4, 693-718.
 
11
BRAMSON, M. 1996. Convergence to equilibria for fluid models of FIFO queuing networks. Que. Syst. 22, 5-45.
 
12
 
13
CRUZ, R. L. 1991a. A calculus for network delay, Part I. IEEE Trans. Inf. Theory 37 (Jan.), 114-131.
 
14
CRUZ, R. L. 1991b. A calculus for network delay, Part II. IEEE Trans. Inf. Theory 37 (Jan.), 132-141.
 
15
DAI, J. G. 1995. On positive Harris recurrence of multiclass queuing networks: A unified approach via fluid limit models. Ann. Appl. Prob. 5, 49-77.
 
16
DAI, J. G., AND MEYN, S. P. 1995. Stability and convergence of moments for multiclass queuing networks via fluid limit models. IEEE Trans. Automat. Cont. 40 (Nov.), 1889-1904.
 
17
 
18
DOWN, D. D., AND MEYN, S. P. 1995. Stability of acyclic multiclass queuing networks. IEEE Trans. Automat. Cont. 40, 5, 916-920.
 
19
DURRETT, R. 1995. Probability: Theory and Examples, 2nd ed. Duxbury Press, Belmont, Calif.
 
20
21
 
22
 
23
HAJEK, B. 1982. Hitting-time and occupation-time bounds implied by drift analysis with applications. Adv. Appl. Prob. 14, 502-525.
 
24
25
 
26
JACKSON, J. R. 1963. Jobshop-like queuing systems. Manage. Sci. 10, 131-142.
 
27
 
28
KELLY, F. P. 1979. Reversibility and stochastic networks. Wiley, New York.
 
29
KLEINROCK, L. 1975. Queuing Systems. Wiley, New York.
30
 
31
LEIGHTON, F. T., MAGGS, B. M., AND RAO, S. B. 1994. Packet routing and job-shop scheduling in O(congestion + dilation) steps. Combinatorica 14, 167-180.
 
32
LEIGHTON, F. T., MAGGS, B. M., AND RICHA, A. W. 1999. Fast algorithms for finding O(congestion + dilation) packet routing schedules. Combinatorica 19, 3, 375-401.
 
33
LOEVE, M. 1978. Probability Theory, vol. 2. Springer-Verlag, New York.
 
34
LU, S. H., AND KUMAR, P. R. 1991. Distributed scheduling based on due dates and buffer priorities. IEEE Trans. Automat. Cont. 36, 12, 1406-1416.
35
36
 
37
MEYN, S. P., AND DOWN, D. 1994. Stability of generalized Jackson networks. Ann. Appl. Prob. 4, 124-148.
38
39
40
 
41
 
42
 
43
PEMANTLE, R., AND ROSENTHAL, J. S. 1998. Moment conditions for a sequence with negative drift to be uniformly bounded in L. Tech. Rep. 9814. Dept. Statistics, Univ. Toronto, Toronto, Ont., Canada.
 
44
PEMANTLE, R., AND ROSENTHAL, J. S. 1999. Moment conditions for a sequence with negative drift to be uniformly bounded in L. Stoch. Proc. Their Appl. 82, 143-155.
 
45
PERKINS, J. R., AND KUMAR, P. R. 1989. Stable distributed real-time scheduling of flexible manufacturing/assembly/disassembly systems. IEEE Trans. Automat. Cont. 34, 139-148.
46
 
47
RYBKO, A. N., AND STOLYAR, A. L. 1992. Ergodicity of stochastic processes describing the operation of open queuing networks. Prob. Inf. Trans. 28, 199-220.
 
48
SEIDMAN, T. I. 1994. 'First come, first serve' can be unstable. IEEE Trans. Automat. Cont. 39, 2166-2171.
49
 
50
 
51
TSAPARAS, P. 1997. Stability in adversarial queuing theory. M.Sc dissertation. Dept. of Computer Science, Univ. of Toronto, Toronto, Ont. Canada.
 
52
WALRAND, J. 1988. An Introduction to Queuing Networks. Prentice-Hall, Englewood Cliffs, N.J.

CITED BY  38

Collaborative Colleagues:
Allan Borodin: colleagues
Jon Kleinberg: colleagues
Prabhakar Raghavan: colleagues
Madhu Sudan: colleagues
David P. Williamson: colleagues