Assignment/Tutorial 1 Computer Simulation and Modeling

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.