Computer Simulation and Modeling
Assignment/Tutorial 1
1. Name
Entities, Attributes, Activities, Events and State variables for the following
systems.
Small appliance
repair shop, Cafeteria, Grocery store, Laundromat, Fast food restaurant,
Hospital emergency room, Taxicab company, Automobile assembly line
2. Grocery
Store Example: Let the arrival distribution be uniformly distributed
between 1 to 10 minutes and service time distribution is as follows:
Service time(min)
|
1
|
2
|
3
|
4
|
5
|
6
|
Probability
|
0.04
|
0.20
|
0.10
|
0.26
|
0.35
|
0.05
|
Develop
the simulation table and analyze the system by simulating arrival and service
of 10 customers. Find out Queue statistics.
Random
digits for interarrival time and service time are follows:
Customer
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
R. D. for Interarrival Time
|
--
|
853
|
340
|
205
|
99
|
669
|
142
|
301
|
888
|
444
|
R. D. for Service time
|
71
|
59
|
12
|
88
|
97
|
66
|
81
|
35
|
29
|
91
|
3. The maximum inventory level, M, is 11 units and the review period, N, is 5 days. The distribution of the number of units demanded per day is shown in Table A. In this example, lead time is a random variable, as shown in Table B. Assume that orders are placed at the close of business and are received for inventory at the beginning of business as determined by the lead time.
Table A Random-Digit Assignments for Daily Demand
Daily Demand
|
0
|
1
|
2
|
3
|
4
|
Probability
|
0.10
|
0.25
|
0.35
|
0.21
|
0.09
|
Table B Random-Digit Assignments for Lead Time
Lead Time (Days)
|
1
|
2
|
3
|
Probability
|
0.6
|
0.3
|
0.1
|
The problem is to estimate, by simulation, the average ending units in inventory and the number of days when a shortage condition occurs.
