Write a program SIM (meeting the usual requirements) that reproduces the results of the SAN on page 83. When invoked as

$ SIM B s RUNS

Your program should produce output such as:

OUTPUT    :a12,a23,a34,a46:     0.5726
OUTPUT    :a13,a36:             0.0181
OUTPUT    :a12,a25,a56:         0.0015
OUTPUT    :a12,a23,a36:         0.0945
OUTPUT    :a14,46:              0.1944
OUTPUT    :a13,a34,a46:         0.1189

The paths should be formatted without any intervening whitespace, beware:

OUTPUT    :a12, a23, a34, a46:  0.5726

is no good

The value provided for each path is the critical path point estimate described in the book given s and RUNS, the seed and number of runs in the experiment. Report all point estimates to four decimal places.

Note that the there is no specific order to the output,¹ but you must provide an entry for all possible paths.

When SIM is invoked as

$ SIM F s RUNS network.txt

Your program should read the data for an arbitrary network from the fourth parameter and produce the same tablular output as for the B scenario. The interprettation of s and RUNS is identical to the B scenario as well.

An example of the network data format (for this SAN) is:

1 2 3
2 3 5
1 4 6
1 3 2
4 3 1.5
4 5 6
3 5 4

Per row, the first term is the source node, the second term is the destination node, and the third term is the upper bound for a uniform distribution. For instance, the distribution for the a13 arc should be Uniform(0,2). The largest numbered node in the second column may always be considered the terminal node and node 1 will always be single source node of the network.

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Rubric

This work is worth 36 points.