Fundamentals of queueing theory (2nd ed.).
Fundamentals of queueing theory (2nd ed.).
Evaluating the overflow probability using the infinite queue
Management Science
On Approximate Computer System Models
Journal of the ACM (JACM)
Equivalence relations in the approximations for the M/G /s/s + r queue
Mathematical and Computer Modelling: An International Journal
Topological arrangements of M/G/c/K, M/G/c/c queues in transportation and material handling systems
Computers and Operations Research
A functional approximation for the M/G/1/N queue
Discrete Event Dynamic Systems
| Hi-index | 0.98 |
Approximating the performance measures of M/G/1/K systems is a difficult, challenging, and important problem for applications in science and engineering. An approach based on a two-moment approximation of the process is presented and is contrasted with an embedded Markov chain approach, Gelenbe's approach, simulation, and finally, the statistics of M/M/1/K systems. The closed form expressions for the different performance measures should be very handy. The use of the approximation in the performance modelling and design of M/G/1/K systems is also explored in order to demonstrate the practical usefulness of the concepts contained within the paper.