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oai:riuma.uma.es:10630/404202026-02-03T11:26:59Zcom_10630_2254col_10630_37953

00925njm 22002777a 4500 dc Atencia-McKillop, Iván author Galán-García, José Luis author Galán-García, María Ángeles author Padilla-Domínguez, Yolanda Carmen author Rodríguez-Cielos, Pedro author Rodríguez-Padilla, Pablo author 2025 This paper analyzes a discrete-time single-server retrial queue with preemptive service, Bernoulli arrivals, and adaptive retrial times, tailored to telecommunications systems. In call centers, the model captures caller retries and priority interruptions, while in cellular networks, it represents user channel access attempts with preemption for emergency calls. Using a Markov chain framework, we derive the stationary distribution, establish a stability condition, and compute performance metrics, including the mean number of retrying callers or users and orbit size probabilities. The model incorporates a novel retrial time adaptation probability, reflecting dynamic retry behaviors in telecommunications. Numerical results demonstrate the impact of arrival rates, preemption probabilities, and retrial adaptations on system performance, offering insights for optimizing call center staffing and cellular network protocols. Applications to slotted ALOHA and TDMA systems highlight the model’s practical relevance. Atencia-Mckillop, I., Galán-García, J. L., Galán-García, M. Á., Padilla-Domínguez, Y., Rodríguez-Cielos, P., & Rodríguez-Padilla, P. (2025). A Discrete-Time Single-Server Retrial Queue with Preemption and Adaptive Retrial Times: Theoretical Analysis and Telecommunication Insights. Mathematics, 13(21), 3361. https://doi.org/10.3390/math13213361 https://hdl.handle.net/10630/40420 10.3390/math13213361 Markov, Procesos de Telecomunicaciones Centros de llamadas Centros de llamadas - Distribución A Discrete-Time Single-Server Retrial Queue with Preemption and Adaptive Retrial Times: Theoretical Analysis and Telecommunication Insights