This document contains instructions for three simulation problems: 1) A grocery store checkout counter simulation until time 21 minutes using an inter-arrival time (IAT) and service time (ST) table. 2) A single channel queue simulation until time 15 using an IAT and ST table and event scheduling algorithm. 3) A dump truck loading and weighing simulation at a mine using random number generation for loading time, weighing time and travel time distributions to estimate loader and scale utilizations.

1. Unit 5- general principles,
simulation software
problems

2. Example 1
• In a single checkout counter of a grocery store list all the components
and the simulation table for the checkout counter is given below.
Prepare the simulation table until the clock reaches 21 min.
IAT -- 8 6 1 8
ST 4 1 4 3 2

3. EXAMPLE 2
• Prepare the simulation table for a single channel queue using event
scheduling algorithm until the clock reaches time 15. using the inter
arrival time and service time given below. The stopping event will be
at time 30
IAT 1 5 6 3 8
ST 3 5 4 1 5

4. Dump-truck problem

5. • 6 dump trucks are used to haul coal from the entrance of a small
mine to the rail road. Each truck is loaded by one of the 2 loaders
after the loading the truck immediately moves to the scale, to be
weighed as soon as possible,
• Both the loaders and the scale have FCFS weighing line for the trucks.
Travel time from a loader to scale is considered neglible. After being
weighed a truck begins a travel time and then afterward returns to
the loader queue.. Before joining the loader queue the truck is
unloaded.
• The distributions of loading time, weighing time and travel time are
given in the following tables

6. Loading time Probability
5 0.30
10 0.50
15 0.20
Weighing time Probability
12 0.70
16 0.30
travel time Probability
40 0.40
60 0.30
80 0.20
100 0.10

7. • Use the following random digits for simulating the following problems
• Loading time : 7, 2, 3, 8, 9, 4, 6
• Weighing time : 4, 6, 5, 9, 7, 0
• Travel time : 7, 0, 3,2, 8
• Estimate the loader time and scale utilizations