Question: 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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