Geodesic
Analysis of Heterogeneous Two Server Queueing System With Multiple Working Vacations and Server Breakdowns
Yugoslav journal of operations research, Tome 35 (2025) no. 1, p. 163

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The steady state analysis and the time-dependent behaviour of a heterogeneous two-server multiple vacation queueing model is examined in this research work. The model also takes into account the possibility of a breakdown happening when server 1 is busy while server 2 is on working vacation and both servers are busy, with the restoration procedure starting right away. The stability condition is established through the use of matrix geometric technique, and the steady-state probability vector of the system’s number of customers has been evaluated as a quasi-birth and death (QBD) process. Some system performance measures are obtained. Numerical analysis for both steady-state and transient analysis are given to our proposed model.
Keywords: Matrix geometric method, transient analysis, performance measures, quasi birth death process, server breakdown, multiple working vacations 
Karthick V; Suvitha V. Analysis of Heterogeneous Two Server Queueing System With Multiple Working Vacations and Server Breakdowns. Yugoslav journal of operations research, Tome 35 (2025) no. 1, p. 163 . http://geodesic.mathdoc.fr/item/YJOR_2025_35_1_a7/
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