Exponential two server queue with N-policy and general vacations
Queueing Systems: Theory and Applications
Analysis on queueing systems with synchronous vacations of partial servers
Performance Evaluation
Analysis of Queueing Systems with Synchronous Single Vacation for Some Servers
Queueing Systems: Theory and Applications
ATVA '08 Proceedings of the 6th International Symposium on Automated Technology for Verification and Analysis
Numerical investigation of finite-source multiserver systems with different vacation policies
Journal of Computational and Applied Mathematics
An algorithmic analysis of multi-server vacation model with service interruptions
Computers and Industrial Engineering
An analytical model for input-buffered optical packet switches with reconfiguration overhead
Photonic Network Communications
Hi-index | 0.00 |
In this paper, we consider a Markovian multi-server queue with a single vacation (e,d)-policy. In an M/M/c system with such a policy, when d (c) servers become idle at a service completion (or a customer departure) instant, e(≤d) idle servers take a single vacation. After the vacation is completed, these servers return to attend the queue (either serve or stay idle) until the vacation condition is satisfied again. This model is more appropriate for the service or manufacturing systems with servers' maintenance performed during their idle time. We formulate the system as a quasi-birth-and-death (QBD) process and develop the various stationary performance measures for this system. In addition, we also prove several conditional stochastic decomposition properties.