A vertex-allocation theorem for resources in queuing networks
Journal of the ACM (JACM)
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
A Characterization of Product-Form Queuing Networks
Journal of the ACM (JACM)
Balanced job bound analysis of queueing networks
Communications of the ACM
The approximate solution of large queueing network models
The approximate solution of large queueing network models
Bounding errors introduced by clustering of customers in closed product-form queuing networks
Journal of the ACM (JACM)
Xaba: Exact, Approximate, and Asymptotic Solvers for Multi-class Closed Queueing Networks
TOOLS '00 Proceedings of the 11th International Conference on Computer Performance Evaluation: Modelling Techniques and Tools
Hi-index | 0.00 |
In a closed, separable, queuing network model of a computer system, the number of customer classes is an input parameter. The number of classes and the class compositions are assumptions regarding the characteristics of the system's workload. Often, the number of customer classes and their associated device demands are unknown or are unmeasurable parameters of the system. However, when the system is viewed as having a single composite customer class, the aggregate single-class parameters are more easily obtainable.This paper addresses the error made when constructing a single-class model of a multi-class system. It is shown that the single-class model pessimistically bounds, the performance of the multi-class system. Thus, given a multi-class system, the corresponding single-class model can be constructed with the assurance that the actual system performance is better than that given by the single-class model. In the worst case, it is shown that the throughput given by the single-class model underestimates the actual multi-class throughput by, at most, 50%. Also, lower bounds are provided for the number of necessary customer classes, given observed device utilizations. This information is useful to clustering analysis techniques as well as to analysts who must obtain class-specific device demands.