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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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