RT Journal Article
T1 An arriving decision problem in a discrete-time queueing system
A1 Atencia-McKillop, Iván
A1 Galán-García, José Luis
A1 Aguilera-Venegas, Gabriel
A1 Rodríguez-Cielos, Pedro
A1 Galán-García, María Ángeles
K1 Colas de espera, Teoría de
AB This paper discusses a discrete-time queueing system in which an arriving customermay adopt four different strategies; two of them correspond to a LCFS disciplinewhere displacements or expulsions occur, and in the other two, the arriving customerdecides to follow a FCFS discipline or to become a negative customer eliminating thecustomer in the server, if any. The different choices of the involved parameters makethis model to enjoy a great versatility, having several special cases of interest. Wecarry out a thorough analysis of the system, and using a generating function approach,we derive analytical results for the stationary distributions obtaining performancemeasures for the number of customers in the queue and in the system. Also, recursiveformulae for calculating the steady-state distributions of the queue and system sizehas been developed. Making use of the busy period of an auxiliary system, the sojourntimes of a customer in the queue and in the system have also been obtained. Finally,some numerical examples are given.
PB Springer
YR 2019
FD 2019-08
LK https://hdl.handle.net/10630/29510
UL https://hdl.handle.net/10630/29510
LA eng
NO Atencia, I., Galán-García, J.L., Aguilera-Venegas, G. et al. An arriving decision problem in a discrete-time queueing system. Adv Comput Math 45, 1863–1879 (2019). https://doi.org/10.1007/s10444-019-09663-3
NO Proyecto TIN2015-70266-C2-1-P
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026