Journal of the Operations Research Society of Japan · 1976 · 65 citations · 2 references
Fluid QueueThe Steady-state ProbabilitiesAbsolute ProbabilitiesEngineeringConditional ProbabilitiesPerformance ModelingComputer EngineeringNumerical MethodSystems EngineeringBalance EquationsStochastic NetworkProbability TheoryComputer ScienceQueuing TheoryDiscrete-event SimulationQueueing TheoryQueueing SystemsOperations Research
A numerical method is proposed for solving the balance equations of the steady-state probabilities of a GI/G/c queueing system in a general class. The method is based on an iterative calculation of conditional probabilities, instead of absolute probabilities, conditioned by the number of customers in the system. By skillfully exploiting a convergence property of the conditional probabilities, it provides a fairly accurate solution of the balance equations with relatively little computational burden.
2