Management Science
Simulation Modeling and Analysis
Simulation Modeling and Analysis
Calculation of the Steady State Waiting Time Distribution in GI/PH/c and MAP/PH/c Queues
Queueing Systems: Theory and Applications
Strong approximations for Markovian service networks
Queueing Systems: Theory and Applications
Calculating equilibrium probabilities for &lgr;(n)/Ck/1/N queues
PERFORMANCE '80 Proceedings of the 1980 international symposium on Computer performance modelling, measurement and evaluation
Closed form solutions for mapping general distributions to quasi-minimal PH distributions
Performance Evaluation - Modelling techniques and tools for computer performance evaluation
Predicting queueing delays for multiclass call centers
valuetools '06 Proceedings of the 1st international conference on Performance evaluation methodolgies and tools
Approximate analysis of central server models
IBM Journal of Research and Development
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We develop an approximation model for the state-dependent sojourn time distribution of customers or orders in a multi-stage, multi-server queueing system, when interarrival and service times can take on general distributions. The model can be used to make probabilistic statements about the departure time of a customer or order, given the number and location of customers currently in process or waiting, and these probabilities can be recomputed while waiting at any point during the sojourn time. The model uses phase-type distributions and a new method to estimate the remaining processing times of customers in service when the sojourn time distribution is computed.