Transient analysis of various vacation interruption policies in a Markovian queue with differentiated multiple vacations
by A. Azhagappan; T. Deepa
International Journal of Operational Research (IJOR), Vol. 45, No. 4, 2022

Abstract: Two different types of interruptions (partial and complete) of server's vacation are discussed in this research work along with two different types of vacations (types 1 and 2). The transient analysis of an M / M / 1 queueing model with differentiated multiple vacations, partial and complete interruption of vacations is carried out. Two types of vacations are studied in this research work. Type 1 vacation is taken after serving all the customers in the system exhaustively. Type 2 vacation is resumed after returning from type 1 vacation and finding the empty system. Partial interruption is the one in which the interruption happens only in type 2 vacation whereas complete interruption can occur in both types 1 and 2 vacations. The system size distributions are derived using generating function and Laplace transforms under transient case. The average and variance are also obtained. Further, numerical simulations are presented.

Online publication date: Fri, 20-Jan-2023

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