Consider the following system:
Six trucks are used to haul coal from a mine to the rail road. There are two loaders and one weighing scale. After loading a truck immediately moves to the scale for weighing using FIFS policy. After weighing a truck begins a travel time and then returns to loader queue with the distribution of travel time as:
Travel time (Mins)
40
60
80
100
Probability
0.3
0.4
0.1
0.2
Further the distribution of loading time and weighing time are as:
Loading time (Mins)
5
10
15
Probability
0.5
0.3
0.2
Construct simulation table to trace the six trucks and:
(a) Compute average waiting time of loading
(b) Compute average time in system (loading and scaling times)
(c) Compute waiting probability for scaling
(d) Estimate the loader and scale utilization