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SIMULATION Question 17 Consider a waiting line problem with one server. The interarrival time is 3 minutes for each customer. The service time has the

SIMULATION
Question 17
Consider a waiting line problem with one server.
The interarrival time is 3 minutes for each customer.
The service time has the following distribution:
Service
Time Probability RNA
2 0.10
3 0.30
4 0.50
5 0.10
To determine the service times for 3 customers, use the following random numbers:
44 85 8
Given the interarrival time and service time information and the random numbers,
simulate this waiting line problem for 3 customers bymanual calculations. Of course,
you also answer this question by writing equations. It might be faster to answer it by
manual entries/calculations. Show the values in the table below.
CUSTOMER ARRIVALS SERVICE
Customer Interarrival Time Arrival Time Service StartTime Wait Time Random Number Service Time Completion Time Time In Service Server Idle Time
1 44
2 85
3 8
How many customers waited before starting service?

SIMULATION
Question 18
Skinner's Fish Market buys fresh Boston bluefish daily for $5.00 per pound and sells it for
for $8.00 per pound. At the end of business each day, any remaining bluefish is sold to a
producer of cat food for $2.00 per pound. The daily demand for the bluefish, although
uncertain, is estimated to be as follows:
Daily Demand Probability RNA
40 0.30
50 0.40
60 0.20
70 0.10
Answer the following questions for this single-period inventory problem.
(a) Consider a day for which the company ordered 50 pounds of bluefish and
the demand on that day was 60 pounds. What is the total profit on that day?
(b) The company wants to simulate ordering50 pounds of bluefish each day. Using
the table below, simulate this policy for 3 days by manual calculations using the
following random numbers to determine the daily demand.
75 25 38
Note, again, you can answer this question by writing the equations. It might
be faster to answer it by manual entries. Show the values in the table below.
Show the simulation values in the table below.
Day Random Number Demand Sold Sales Revenue Purchase Cost Loss (shortage) Salvage Sunday Profit
1 75
2 25
3 38
What is the average profit?

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