Modelling and Simulation in Engineering

Research Article

A Paradox of the Average Waiting Time for the Case of a Single Bottleneck on the Commuters’ Route

Table 5

Results of hypothesis testing for constructed paired -tests to compare phase-1 and phase-2 average waiting times for four interarrival distributions: uniform, triangular, normal, and exponential. Mean interarrival rates for all distributions in phase-2 are 100 tertias.


Paired -test results of the simulation replications ()

Constant	Phase-1	Phase-2
	Average waiting time	Average waiting time
	36,000.00	36,000.00
Uniform with 30 replications	Phase-1	Phase-2	Paired differences
Uniform with 30 replications	Average waiting time	Average waiting time	Average waiting time
Average	36,076.25	36,138.29	-62.03
st. deviation	434.19	905.01	635.30
		-statistics ()	0.5348
			Ok! Accept
Triangular with 30 replications	Phase-1	Phase-2	Paired differences
Triangular with 30 replications	Average waiting time	Average waiting time	Average waiting time
Average	35,808.62	35,698.49	110.14
st. deviation	424.16	1,081.58	827.89
		-statistics ()	-0.7286
			Ok! Accept
Normal with 30 replications	Phase-1	Phase-2	Paired differences
Normal with 30 replications	Average waiting time	Average waiting time	Average waiting time
Average	35,876.82	35,900.90	-24.08
st. deviation	641.01	1,174.44	788.68
		-statistics ()	0.1673
			Ok! Accept
Exponential with 30 replications	Phase-1	Phase-2	Paired differences
Exponential with 30 replications	Average waiting time	Average waiting time	Average waiting time
Average	35,790.16	36,156.68	-366.52
st. deviation	3,016.12	4,963.41	2,629.66
		-statistics ()	0.7634
			Ok! Accept