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Recurrence in single server queues with impatient customers. (English) Zbl 0401.60094


MSC:

60K25 Queueing theory (aspects of probability theory)
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References:

[1] H. Cartan , Calcul différentiel ( Masson ). Zbl 0156.36102 · Zbl 0156.36102
[2] F. Charlot , M. Ghidouche et M. Hamami , Irréductibilité et récurrence au sens de Harris des temps d’attente des GI/G/q . A paraitre Z. Wahrscheinlichkeitstheorie , 1978 . Zbl 0382.60099 · Zbl 0382.60099 · doi:10.1007/BF00536202
[3] F. Charlot et M. Ghidouche , Théorèmes limites et théorèmes limites fonctionnels pour les GI/G/q en trafic léger (à paraitre).
[4] Daley , Single server queueing systems with uniformly limited queueing time . Austrl. Math. Soc. , t. 4 , 1964 , p. 489 - 505 . MR 174099 | Zbl 0131.16802 · Zbl 0131.16802 · doi:10.1017/S1446788700025325
[5] M. Ghidouche , Théorèmes limites pour les GI/G/q . Thèse de 3e cycle , Université de Rouen , 1977 . · Zbl 0363.60100
[6] D. Iglehart , Functional limit theorems for the GI/G/I queues in light traffic . Adv. Appl. Prob. , t. 3 , 1971 , p. 269 - 281 . MR 293746 | Zbl 0226.60109 · Zbl 0226.60109 · doi:10.2307/1426171
[7] D. Revuz , Markov Chain . North Holland , 1975 . MR 415773 | Zbl 0332.60045 · Zbl 0332.60045
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