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Transactions of the American Mathematical Society

Volumn 347, Issue 8, 1995, Pages 2689-2751

The large deviation principle for a general class of queueing systems I

(1) Dupuis, Paul a,b

a BROWN UNIVERSITY (United States)

b UNIVERSITY OF MASSACHUSETTS (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000215977 PISSN: 00029947 EISSN: None Source Type: Journal
DOI: 10.1090/S0002-9947-1995-1290716-2 Document Type: Article

Times cited : (55)

References (14)

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4
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5
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- Large deviations for Markov processes with discontinuous statistics, II: Random walks
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- (1992) Probab. Theory Related Fields , vol.91 , pp. 153-194
- Dupuis, P.¹ Ellis, R.S.²

6
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- (1995) A Weak Convergence Approach to the Theory of Large Deviations
- Dupuis, P.¹ Ellis, R.S.²

7
- 0001129707
- Large deviations for Markov processes with discontinuous statistics, I: General upper bounds
- P. Dupuis, R. S. Ellis, and A. Weiss, Large deviations for Markov processes with discontinuous statistics, I: General upper bounds, Ann. Probab. 19 (1991), 1280-1297.
- (1991) Ann. Probab , vol.19 , pp. 1280-1297
- Dupuis, P.¹ Ellis, R.S.² Weiss, A.³

8
- 0001985427
- On Lipschitz continuity of the solution mapping to the Skorokhod problem, with applications
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- (1991) Stochastics Stochastic Rep , vol.35 , pp. 31-62
- Dupuis, P.¹ Ishii, H.²

9
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- A viscosity solution approach to the asymptotic analysis of queueing systems
- P. Dupuis, H. Ishii, and H. M. Soner, A viscosity solution approach to the asymptotic analysis of queueing systems, Ann. Probab. 18 (1990), 226-255.
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- Dupuis, P.¹ Ishii, H.² Soner, H.M.³

10
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- Ph. D. Thesis, Univ. of Massachusetts
- G. Kieffer, The large deviation principle for two-dimensional stable systems, Ph. D. Thesis, Univ. of Massachusetts, 1995.
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11
- 0001684239
- Large deviations for trajectories of multi-dimensional random walks
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13
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14
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- Rare events in series of queues
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