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One obtains
Eq. (6) gives
If the improvement factor is erj = 0.4, one obtains from eq. (7) F (8.5) = 0.4
and n = 10.
A check made by calculation of the cost for different numbers of high
usage junctions (n tJ = 0,1, 2,...) gave the result shown in table 5.
Table 5. Check of the numerical example
Grade of service on the tandem routes Eft = E}-. = 0.005
Variance to mean ratios
on the tandem routes
1
2
Optimum numbers of
high usage circuits
9
7
Cost penalty in percent
for/i = 10
0.3
0.9
In the next paragraph an account of a computerized numerical check of the
proposed approximate method will be given.
Numerical Check of the Proposed Approximate Method
A check of the cost penalty resulting from the use of the proposed approximate
method for planning of junction networks with non-coincident busy hours
has been made with triplets of random numbers satisfying the following constraints:
At the same time random number for the variance to mean ratio on the tandem
routes were generated fulfilling the condition
to be used for the check of the result obtained from the approximate formulae
(6) and (7).
The result of the check is summarized in table 6.
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