ISE 580 Performance Analysis with Simulation Homework 5 Submit on Mar 22 by 3.30 pm
Customers arrive at a restaurant following a Poisson process with MTBA five minutes. The restaurant
opens at 12 noon and closes before midnight (call it regular time). If all the tables are occupied the clients
remain in a waiting area. Assume that if five customers are waiting, new customers do not wait, and leave.
The probability that clients arrive in pairs or groups of 3 or 4 people is 0.50, 0.15 and 0.35, respectively.
The restaurant has six of two table sizes: small and large. Couples are assigned small tables, groups are
assigned large tables. The estimated time in the restaurant is normally distributed. For couples, with mean
1 hour and standard deviation 12 minutes, while for groups with mean 1 hour 15 minutes, and standard
deviation 15 minutes. After 11 pm. new clients are not allowed, however, service is provided until the last
table is vacated. The record of past months shows that each customer spends an amount that is normally
distributed with mean $60 and standard deviation $15.
1. (10 pts.) Build a simulation model for the restaurant and run 100 replications.
Include a screenshot in your report.
2. Construct 95% confidence intervals for the mean of
a) (30 pts.) the utilization of small and large tables,
b) (30 pts.) the number of customers that give up for not waiting,
c) (30 pts.) the daily revenue
Hints:
• Use the flowchart in the next page as a guideline
• In the Run Setup leave the Replication length as Infinite.
• In the Run Setup add the Terminating Condition
TNOW > 660 && NR(small table) == 0 && NR(large table) == 0
where small table and large table are resources with fixed capacity 6, and 660 is the number of
minutes in 11 hours.
• The ARENA Output Analyzer is not needed.
Submit your report as a pdf file (obtained from a MS Word file) onto Blackboard showing your name and
USC ID, and a screen shot of your model and of a spreadsheet with the required intervals.
Report must be made of letter size pages in portrait format (not landscape). Use seed value equal to 999.
ISE 580 Performance Analysis with Simulation Homework 5 Submit on Mar 22 by 3.30 pm

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