43. Which of the following statements is TRUE? O The number of arrivals in a queuing model is Poisson distributed, then service time is exponential. O The average service time is the reciprocal of the mean service rate. O The number of people in a queue includes those individuals being served. O A group of servers working together as a team, such as surgical team, is treated as a multiple-service system.

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Chapter1: Combinatorial Analysis
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43. Which of the following statements is TRUE?
O The number of arrivals in a queuing model is Poisson distributed, then service time is exponential.
O The average service time is the reciprocal of the mean service rate.
O The number of people in a queue includes those individuals being served.
O A group of servers working together as a team, such as surgical team, is treated as a multiple-service system.
49-50: Circle Electric Supply is considering opening a second service counter to better serve the electrical contractor
customers. The arrival rate is 10 per hour. The service rate is 14 per hour. The cost of waiting is $30 and the cost of each
service counter is $22 per hour.
49. What is the cost of operating one counter?
O $68.56
O $110.00
O $105.00
O $97.00
50. What is the cost of operating two counters?
$105.00
O $68.56
O $97.00
O $110.00
Transcribed Image Text:43. Which of the following statements is TRUE? O The number of arrivals in a queuing model is Poisson distributed, then service time is exponential. O The average service time is the reciprocal of the mean service rate. O The number of people in a queue includes those individuals being served. O A group of servers working together as a team, such as surgical team, is treated as a multiple-service system. 49-50: Circle Electric Supply is considering opening a second service counter to better serve the electrical contractor customers. The arrival rate is 10 per hour. The service rate is 14 per hour. The cost of waiting is $30 and the cost of each service counter is $22 per hour. 49. What is the cost of operating one counter? O $68.56 O $110.00 O $105.00 O $97.00 50. What is the cost of operating two counters? $105.00 O $68.56 O $97.00 O $110.00
44-45: In a waiting line situation, arrivals occur around the clock at a rate of six per day, and the service occurs at one
every three hours. Assume the Poisson and exponential distributions.
44. Find probability of no units in the system.
O 0.25
O 0.50
0.75
O 0.15
45. Find probability that there is one person waiting.
0.20
O 0.10
0.14
O 0.18
Transcribed Image Text:44-45: In a waiting line situation, arrivals occur around the clock at a rate of six per day, and the service occurs at one every three hours. Assume the Poisson and exponential distributions. 44. Find probability of no units in the system. O 0.25 O 0.50 0.75 O 0.15 45. Find probability that there is one person waiting. 0.20 O 0.10 0.14 O 0.18
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