Stochastic ordering for Markov processes on partially ordered spaces
Mathematics of Operations Research
Stochastic monotonicity of the queue lengths in closed queueing networks
Operations Research
Second-order properties of the throughput of a closed queueing network
Mathematics of Operations Research
Queueing Systems: Theory and Applications
Stochastic Monotonicity in Queueing Networks
EPEW '09 Proceedings of the 6th European Performance Engineering Workshop on Computer Performance Engineering
On the choice of the stochastic comparison method for multidimensional Markov chains analysis
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
Accuracy of strong and weak comparisons for network of queues
MMB&DFT'10 Proceedings of the 15th international GI/ITG conference on Measurement, Modelling, and Evaluation of Computing Systems and Dependability and Fault Tolerance
Strong and Weak orderings for an accurate resource dimensioning
VECoS'11 Proceedings of the Fifth international conference on Verification and Evaluation of Computer and Communication Systems
Necessary and sufficient conditions for strong comparability of multicomponent systems
Discrete Event Dynamic Systems
Strong and weak stochastic bounds for multidimensional Markov chains
International Journal of Critical Computer-Based Systems
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External and internal monotonicity properties for Jackson networks have been established in the literature with the use of coupling constructions. Recently, Lopez et al. derived necessary and sufficient conditions for the (strong) stochastic comparison of two-station Jackson networks with increasing service rates, by constructing a certain Markovian coupling. In this article, we state necessary and sufficient conditions for the stochastic comparison of L-station Jackson networks in the general case. The proof is based on a certain characterization of the stochastic order for continuous-time Markov chains, written in terms of their associated intensity matrices.