Computes Stationary Distribution for M/G/1 Queuing System

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Documentation for package ‘MG1StationaryProbability’ version 0.1.2

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b Service continuous density distribution
densityOfSojournTimeAtState_i The density of the sojourn time in state i with probability that
EN Expectation of number of arriving claims depending on i and j
ENU Expectation of number of arriving claims
finalStateProbability Probability of the final state
flowIntensityMean The mean intensity of the arrived flow
h Density of empty time for initial state i jointly with probability of final state j
loadCoefficient Load coefficient
meanSojournTimeWithFSP Mean sojourn time in the initial state i jointly with final probability of state j
meanSoujournTime Mean sojourn time in the initial state i (without final probability of state j)
meanTimeEmptyFixed Mean time of empty period in fixed state i
meanTimeOfBusyPeriodETW Mean time of busy period
meanTimeOfBusyPeriodEW Mean time of busy period multiplied by load coefficient
meanTimeOfEmptyPeriod Mean time of empty period given the stationary probability
MET Mean idle time if initial state i
MST Mean empty time sojourn time in the initial state i during the empty period
not_i Helper "not i" function
p0 The stationary probabilities of the environment state 0
p1 The stationary probabilities of the environment state 1
pi Stationary probabilities for continuous time environment's state
probabilitiesMatrix Probability matrix calculation. Rows represent arriving probabilities at state i and columns represent the same for state j
probabilityOfNArrival Probability of n arrival during time t jointly with final state j if initial state is i
probabilityOfNArrivalW Probability of n arrival during time t (without joint probability of j)
PrTr Probability to have state j in the ending of the idle period, if initially we have state i
resultingMatrix Resulting probabilities matrix calculation
serviceDistribution Service distribution function
stationaryProbabilities Stationary probability function
stationaryProbabilitiesOfEmptyStates Stationary probabilities of the empty states in continuous time model
stationaryProbabilities_cached Stationary probability caching function