Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
Vacation policies in an M/G/1 type queueing system with finite capacity
Queueing Systems: Theory and Applications
M/G/1/N queue with vacation time and limited service discipline
Performance Evaluation
Simultaneity in discrete-time single server queues with Bernoulli inputs
Performance Evaluation
Performance of discrete-time queueing systems
Computers and Operations Research
M/G/1/n vacation model with varying E-limited service discipline
Queueing Systems: Theory and Applications
Queueing systems with state dependent parameters
Frontiers in queueing
Computer Networks and Systems: Queueing Theory and Performance Evaluation
Computer Networks and Systems: Queueing Theory and Performance Evaluation
ATM Theory and Applications
Discrete-Time Models for Communication Systems Including ATM
Discrete-Time Models for Communication Systems Including ATM
Performance analysis of finite buffer discrete-time queue with bulk service
Computers and Operations Research
A note on an M/GI/1/N queue with vacation time and exhaustive service discipline
Operations Research Letters
Discrete-time GeoX/G/1 queue with unreliable server and multiple adaptive delayed vacations
Journal of Computational and Applied Mathematics
Computers and Industrial Engineering
A replacement policy for a repairable system with its repairman having multiple vacations
Computers and Industrial Engineering
Multiprocessor networks with small buffers: theory and simulation
SpringSim '09 Proceedings of the 2009 Spring Simulation Multiconference
Steady-state analysis of a discrete-time batch arrival queue with working vacations
Performance Evaluation
A batch-service queueing model with a discrete batch Markovian arrival process
ASMTA'10 Proceedings of the 17th international conference on Analytical and stochastic modeling techniques and applications
Latency and saturation in networks with finite buffers
Proceedings of the 14th Communications and Networking Symposium
Tail distribution of the delay in a general batch-service queueing model
Computers and Operations Research
Discrete-time GeoX/G(a,b)/1/N queues with single and multiple vacations
Mathematical and Computer Modelling: An International Journal
Analysis of a versatile batch-service queueing model with correlation in the arrival process
Performance Evaluation
Computers and Operations Research
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This paper considers a finite-buffer discrete-time GeoX/GY/1/K + B queue with multiple vacations that has a wide range of applications including high-speed digital telecommunication systems and various related areas. The main purpose of this paper is to present a performance analysis of this system. For this purpose, we first derive a set of linear equations to compute the steady-state departure-epoch probabilities based on the embedded Markov chain technique. Next, we present numerically stable relationships for the steady-state probabilities of the queue lengths at three different epochs: departure, random, and arrival. Finally, based on these relationships, we present various useful performance measures of interest such as the moments of the number of packets in the queue at three different epochs, the mean delay in the queue of a packet, the loss probability and the probability that server is busy with computational experiences.