An analytic approach to a general class of G/G/s queueing systems
Operations Research
A Queueing Model with Finite Waiting Room and Blocking
Journal of the ACM (JACM)
PNPM '97 Proceedings of the 6th International Workshop on Petri Nets and Performance Models
Analysis of a two-stage finite buffer flow controlled queueing model by a compensation method
Operations Research Letters
Spectral Expansion Solutions for Markov-Modulated Queues
Performance Evaluation of Complex Systems: Techniques and Tools, Performance 2002, Tutorial Lectures
Balancing performance and flexibility with hardware support for network architectures
ACM Transactions on Computer Systems (TOCS)
Approximate solutions for heavily loaded Markov-modulated queues
Performance Evaluation - Performance 2005
Performance of two-stage tandem queues with blocking: the impact of several flows of signals
Performance Evaluation
Modeling and Simulation of Tandem Tollbooth Operations with Max-Algebra Approach
FGIT '09 Proceedings of the 1st International Conference on Future Generation Information Technology
A tandem queueing network with feedback admission control
NET-COOP'07 Proceedings of the 1st EuroFGI international conference on Network control and optimization
Generalized QBD processes, spectral expansion and performance modeling applications
Network performance engineering
RSFDGrC'05 Proceedings of the 10th international conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing - Volume Part II
A matrix-geometric approximation for tandem queues with blocking and repeated attempts
Operations Research Letters
An efficient model for dimensioning an ATA-based virtual storage system
Computers and Electrical Engineering
Hi-index | 0.00 |
The model considered in this paper involves a tandem queue with two waiting lines, and as soon as the second waiting line reaches a certain upper limit, the first line is blocked. Both lines have exponential servers, and arrivals are Poisson. The objective is to determine the joint distribution of both lines in equilibrium. This joint distribution is found by using generalized eigenvalues. Specifically, a simple formula involving the cotangent is derived. The periodicity of the cotangent is then used to determine the location of the majority of the eigenvalues. Once all eigenvalues are found, the eigenvectors can be obtained recursively. The method proposed has a lower computational complexity than all other known methods.