booking_clerkMC: A function to simulate the harassed booking clerk Markov...

In spuRs: Functions and Datasets for "Introduction to Scientific Programming and Simulation Using R"

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)

Example output

Loading required package: MASS
Loading required package: lattice
          time clerk people calls
1  0.000000000     0      0     0
2  0.008289401     1      0     0
3  0.072653176     1      0     1
4  0.207549460     1      1     1
5  0.384941728     1      1     2
6  0.408502307     1      1     3
7  0.613782788     1      0     3
8  0.630122743     1      0     4
9  0.669670688     1      0     5
10 0.828197309     2      0     4
11 0.850396772     2      0     3
12 0.879828963     2      0     4
13 0.907524651     2      0     5
14 0.921083536     2      0     4
15 0.942425174     2      1     4
16 1.023174815     2      1     5

spuRs documentation built on May 2, 2019, 12:44 p.m.