Use the following scenario and data for all questions An auto service center provides two types of services, Tire Replacement (T) and Oil Change (O).
Use the following scenario and data for all questions An auto service center provides two types of services, Tire Replacement (T) and Oil Change (O). About 30% of the customers are for Tire Replacement and the other 70% are for Oil Change. All customers are serviced on a first come first served basis. During regular hours, customers arrive at the service center according to the probability distribution in the following table Two technicians are working at the service center and both of them are skillful enough for both Tire Replacement and Oil Change. Once finishing the job for a customer, a technician will take care of the next customer waiting in line. When both technicians are idle, the one who finished the last job earlier will take care of the next incoming customer. The times taken by the two jobs by any of the technicians follow the probability distributions in the following tables. You are required to simulate the operations of the auto service center for 15 customers. Before answering the following questions, you may use the following tables to determine the cumulative probability distributions and assign random number intervals for customer arrivals, customer service types, and time needed for both types of services. You may also simulate the operations of this auto service center for the 15 customers using the random numbers given in the following table. The Start Time is the time point when the job for the customer starts and the Finish Time" is the time point when the job for the customer finishes. For customer arrivals, the random number interval assigned to the Time between Arrivals of 5 minutes is
| | | 0.0000-0.1499 |
| | | 0.1500-0.3999 |
| | | 0.4000-0.7999 |
| | | 0.8000-0.9999 |
| | | None of the above |
1 points
QUESTION 2
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For customer arrivals, the random number interval assigned to the Time between Arrivals of 15 minutes is
| | | 0.0000-0.1499 |
| | | 0.1500-0.3999 |
| | | 0.4000-0.7999 |
| | | 0.8000-0.9999 |
| | | None of the above |
1 points
QUESTION 3
-
For the Customer Service Type, the random number interval assigned to Tire Replacement is
| | | 0.0000-0.6999 |
| | | 0.0000-0.2999 |
| | | 0.2999-0.9999 |
| | | 0.3000-0.9999 |
| | | None of the above |
1 points
QUESTION 4
-
For the Customer Service Type, the random number interval assigned to Oil Change is
| | | 0.0000-0.6999 |
| | | 0.0000-0.2999 |
| | | 0.2999-0.9999 |
| | | 0.3000-0.9999 |
| | | None of the above |
1 points
QUESTION 5
-
For the Tire Replacement, the random number interval assigned to Service Time 25 minutes is
| | | 0.0000-0.1999 |
| | | 0.2000-0.4499 |
| | | 0.4500-0.8499 |
| | | 0.8500-0.9999 |
| | | None of the above |
1 points
QUESTION 6
-
For the Tire Replacement, the random number interval assigned to Service Time 35 minutes is
| | | 0.0000-0.1999 |
| | | 0.2000-0.4499 |
| | | 0.4500-0.8499 |
| | | 0.8500-0.9999 |
| | | None of the above |
1 points
QUESTION 7
-
For the Oil Change, the random number interval assigned to the Service Time 15 minutes is
| | | 0.0000-0.2999 |
| | | 0.3000-0.6999 |
| | | 0.7000-0.8999 |
| | | 0.9000-0.9999 |
| | | None of the above |
1 points
QUESTION 8
-
For the Oil Change, the random number interval assigned to the Service Time 20 minutes is
| | | 0.0000-0.2999 |
| | | 0.3000-0.6999 |
| | | 0.7000-0.8999 |
| | | 0.9000-0.9999 |
| | | None of the above |
1 points
QUESTION 9
-
For customer 5, the time between arrivals and the time of arrival are, respectively,
| | | 10 and 45 |
| | | 10 and 35 |
| | | 10 and 25 |
| | | 10 and 15 |
| | | None of the above |
1 points
QUESTION 10
-
For customer 5, the service type and time needed are, respectively,
| | | O and 20 |
| | | O and 25 |
| | | T and 20 |
| | | T and 25 |
| | | None of the above |
Use the following scenario and data for all questions An auto service center provides two types of services, Tire Replacement (T) and Oil Change (O). About 30% of the customers are for Tire Replacement and the other 70% are for Oil Change. All customers are serviced on a first come first served basis. During regular hours, customers arrive at the service center according to the probability distribution in the following table Time-Between Arrivals (Minutes)a Probabilitya 50 0.150 100 0.250 150 0.400 200 0.200 Totala 1.000 D Two technicians are working at the service center and both of them are skillful enough for both Tire Replacement and Oil Change. Once finishing the job for a customer, a technician will take care of the next customer waiting in line. When both technicians are idle, the one who finished the last job earlier will take care of the next incoming customer. The times taken by the two jobs by any of the technicians follow the probability distributions in the following tables. You are required to simulate the operations of the auto service center for 15 customers. Tire Replacement Oil Change Service Time (Minutes) Probability Service Time (Minutes) Probability 20 0.20 10 0.30 0.40 30 0.40 20 0.20 25 0.10 Total 1.00 Total 1.00 25 0.25 15 35 0.15 Before answering the following questions, you may use the following tables to determine the cumulative probability distributions and assign random number intervals for customer arrivals, customer service types, and time needed for both types of services. Customer Arrival Customer Service Types Time Random Random between Cumulative Service Cumulative Number Probability Arrivals Probability Probability Number Probability Interval Type Interval (Minutes) 5 0.15 Tire (T) 0.30 10 0.25 Oil (O) 0.70 15 0.40 Total 1.00 20 0.20 Total 1.00 Service Time (Minutes) Tire Replacement Cumulative Probability Probability Random Number Interval Service Time (Minutes) 10 Oil Change Cumulative Probability Probability Random Number Interval 20 0.20 0.30 25 0.25 15 0.40 30 0.40 20 0.20 35 0.15 25 0.10 Total 1.00 Total 1.00 You may also simulate the operations of this auto service center for the 15 customers using the random numbers given in the following table. The "Start Time" is the time point when the job for the customer starts and the "Finish Time" is the time point when the job for the customer finishes. Random Time Customer Time of Random Between Number Arrival Number Arrivals 1 0.1723 10 10 0.9237 Service Type (Tor O) Time Random Needed Technician Number (Minutes) 0.7474 20 1 Start Finish Time Time Waiting Time (Minutes) 0 O 10 30 2 0.0042 5 15 0.3328 0 0.8679 20 2 15 35 0 30.2249 10 25 0.9420 O 0.3187 15 30 45 5 4 0.2060 10 35 0.3458 0 0.3067 15 2 35 50 0 5 0.2040 0.2180 0.1490 6 0.5578 0.4262 0.5345 70.4779 0.0285 0.5818 80.6022 0.5997 0.3836 9 0.3029 0.7520 0.4064 10 0.9998 0.7155 0.9079 11 0.1212 0.8780 0.6641 12 0.0613 0.2989 0.1922 13 0.2451 0.1682 0.4641 14 0.3375 0.9130 0.3814 15 0.3934 0.7647 0.1309 Use the following scenario and data for all questions An auto service center provides two types of services, Tire Replacement (T) and Oil Change (O). About 30% of the customers are for Tire Replacement and the other 70% are for Oil Change. All customers are serviced on a first come first served basis. During regular hours, customers arrive at the service center according to the probability distribution in the following table Time-Between Arrivals (Minutes)a Probabilitya 50 0.150 100 0.250 150 0.400 200 0.200 Totala 1.000 D Two technicians are working at the service center and both of them are skillful enough for both Tire Replacement and Oil Change. Once finishing the job for a customer, a technician will take care of the next customer waiting in line. When both technicians are idle, the one who finished the last job earlier will take care of the next incoming customer. The times taken by the two jobs by any of the technicians follow the probability distributions in the following tables. You are required to simulate the operations of the auto service center for 15 customers. Tire Replacement Oil Change Service Time (Minutes) Probability Service Time (Minutes) Probability 20 0.20 10 0.30 0.40 30 0.40 20 0.20 25 0.10 Total 1.00 Total 1.00 25 0.25 15 35 0.15 Before answering the following questions, you may use the following tables to determine the cumulative probability distributions and assign random number intervals for customer arrivals, customer service types, and time needed for both types of services. Customer Arrival Customer Service Types Time Random Random between Cumulative Service Cumulative Number Probability Arrivals Probability Probability Number Probability Interval Type Interval (Minutes) 5 0.15 Tire (T) 0.30 10 0.25 Oil (O) 0.70 15 0.40 Total 1.00 20 0.20 Total 1.00 Service Time (Minutes) Tire Replacement Cumulative Probability Probability Random Number Interval Service Time (Minutes) 10 Oil Change Cumulative Probability Probability Random Number Interval 20 0.20 0.30 25 0.25 15 0.40 30 0.40 20 0.20 35 0.15 25 0.10 Total 1.00 Total 1.00 You may also simulate the operations of this auto service center for the 15 customers using the random numbers given in the following table. The "Start Time" is the time point when the job for the customer starts and the "Finish Time" is the time point when the job for the customer finishes. Random Time Customer Time of Random Between Number Arrival Number Arrivals 1 0.1723 10 10 0.9237 Service Type (Tor O) Time Random Needed Technician Number (Minutes) 0.7474 20 1 Start Finish Time Time Waiting Time (Minutes) 0 O 10 30 2 0.0042 5 15 0.3328 0 0.8679 20 2 15 35 0 30.2249 10 25 0.9420 O 0.3187 15 30 45 5 4 0.2060 10 35 0.3458 0 0.3067 15 2 35 50 0 5 0.2040 0.2180 0.1490 6 0.5578 0.4262 0.5345 70.4779 0.0285 0.5818 80.6022 0.5997 0.3836 9 0.3029 0.7520 0.4064 10 0.9998 0.7155 0.9079 11 0.1212 0.8780 0.6641 12 0.0613 0.2989 0.1922 13 0.2451 0.1682 0.4641 14 0.3375 0.9130 0.3814 15 0.3934 0.7647 0.1309
