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M/M/1 Retrial Queue with Collisions and Transmission Errors

Abstract : In this paper, an M/M/1 retrial queue with collisions and transmission errors is considered. The collision may occur when a primary arriving customer finds the server busy while the transmission errors usually occur due to an erroneous packet or due to a non-ideal channel condition. We apply the generating function method to derive the joint distribution of the server state and the orbit length in steady state and we obtain important system characteristics. Finally, we present numerical examples to show the applicability of the model
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https://hal.archives-ouvertes.fr/hal-02475784
Contributor : Kamel Barkaoui Connect in order to contact the contributor
Submitted on : Monday, March 7, 2022 - 5:33:50 PM
Last modification on : Monday, March 7, 2022 - 6:31:54 PM

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Lamia Lakaour, Djamil Aissani, Karima Adel-Aissanou, Kamel Barkaoui. M/M/1 Retrial Queue with Collisions and Transmission Errors. Methodology and Computing in Applied Probability, Springer Verlag, 2019, 21 (4), pp.1395-1406. ⟨10.1007/s11009-018-9680-x⟩. ⟨hal-02475784⟩

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