Now showing items 1-5 of 5
Convexity Results for Parallel Queues with Bernoulli Routing
In this note, we derive various convexity and monotonicity properties of performance measures in parallel GI/GI/1 queues with Bernoulli routing. We then use these results to establish that the equilikely assignment is ...
Optimal Production Strategies for Discrete Time Machines Subject to Failures and Breakdown.
In this paper, discrete-time versions of a model by Akella and Kumar  are presented for the production of a single commodity on a machine subject to random failures and breakdowns. The successive up and down times of ...
Matrix-Geometric Solution for Finite Capacity Queues with Phase- Type Distributions.
This paper presents a class of Quasi-Birth-and-Death processes with finite state space for which the invariant probability vector is found to admit a matrix-geometric representation. The corresponding rate matrix is given ...
An Approximation Method for General Tandem Queueing Systems Subject to Blocking.
An iterative approximation algorithm is presented for calculating the stationary queue size probabilities of tandem queueing systems subject to blocking. The algorithm combines a decomposition/aggregation technique with ...
Matrix-Geometric Solution for Two Node Tandem Queueing Systems with Phase-Type Servers Subject to Blocking and Failures.
A two node tandem queueing system with phase-type servers and Bernoulli arrivals is considered in discrete-time when servers are subject to bloclring and failuree. The invariant probability vector of the underlying finite ...