RT Journal Article
T1 A Discrete-Time Single-Server Retrial Queue with Preemption and Adaptive Retrial Times: Theoretical Analysis and Telecommunication Insights
A1 Atencia-McKillop, Iván
A1 Galán-García, José Luis
A1 Galán-García, María Ángeles
A1 Padilla-Domínguez, Yolanda Carmen
A1 Rodríguez-Cielos, Pedro
A1 Rodríguez-Padilla, Pablo
K1 Markov, Procesos de
K1 Telecomunicaciones
K1 Centros de llamadas
K1 Centros de llamadas - Distribución
AB 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.
PB MDPI
YR 2025
FD 2025
LK https://hdl.handle.net/10630/40420
UL https://hdl.handle.net/10630/40420
LA eng
NO 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
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026