booking_clerkMC {spuRs}

A function to simulate the harassed booking clerk Markov chain.

Description

Simulates the harassed booking clerk Markov chain with given arrival and service rates up to t.end. The state space is (C(t),X(t),Y(t)), where C(t) represents the status of the clerk, X(t) the number of people waiting, and Y(t) the number of calls waiting. C(t) is 0 if clerk is idle, 1 if clerk is serving a person and 2 if clerk is serving a call.

Usage

booking_clerkMC(personArrRate, 
                callArrRate,
                personServRate,
                callServRate,
                t.end)

Arguments

personArrRate

the person arrival rate.

callArrRate

the call arrival rate.

personServRate

the person service rate.

callServRate

the call service rate.

t.end

the time of the time period to be simulated i.e. (0,t.end).

Details

We assume that all given rates are finite and positive.

Value

Returns the matrix (t.hist, state.hist) containing the realisation of the chain.

References

Jones, O.D., R. Maillardet, and A.P. Robinson. 2009. An Introduction to Scientific Programming and Simulation, Using R. Chapman And Hall/CRC.

Examples

booking_clerkMC(3,6,5,8,1)