Exam 10: Managing Customer and Work Flows

A street noodle vendor in Singapore can service an average of 10 customers per hour. Given an average arrival rate of 8 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -What is the probability that more than 4 customers will arrive in 1 hour, when the mean arrival rate is 3 customers per hour, and interarrival times are exponentially distributed?

A street noodle vendor in Singapore can service an average of 10 customers per hour. Given an average arrival rate of 8 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -What is the probability that no customer will arrive in 1 hour, when the mean arrival rate is 3 customers per hour, and interarrival times are exponentially distributed?

A street noodle vendor (one server) in Singapore can service an average of 20 customers per hour. Given an average arrival rate of 12 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -What is the probability that there is 1 customer in the system at any given time?

A street noodle vendor in Singapore can service an average of 10 customers per hour. Given an average arrival rate of 8 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -What is the probability that exactly 10 customers will arrive in 1 hour, when the mean arrival rate is 15 customers per hour, and interarrival times are exponentially distributed?

A street noodle vendor in Singapore can service an average of 10 customers per hour. Given an average arrival rate of 8 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -What is the probability of having, at most, 10 customers arriving within 1 hour?

A street noodle vendor in Singapore can service an average of 10 customers per hour. Given an average arrival rate of 8 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -What is the probability of having exactly 10 customers arriving within 1 hour?

Use the following information to determine the optimal overbooking policy for a motel at a rural town in South Carolina. The motel's capacity is 30 rooms. The historic number of no-shows for a typical day, along with the probability of occurrence, is shown in the following table. The average profitability per room is $110, and the cost of lost goodwill per guest due to overbooking is approximately $60. -Based on the total expected profits obtained in Questions 46 through 49, which policy should be selected?

A street noodle vendor in Singapore can service an average of 10 customers per hour. Given an average arrival rate of 8 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -What is the probability that, at most, 4 customers will arrive in 1 hour, when the mean arrival rate is 3 customers per hour, and interarrival times are exponentially distributed?

A street noodle vendor (one server) in Singapore can service an average of 20 customers per hour. Given an average arrival rate of 12 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -Change the number of customers the street vendor can serve per hour from 20 to 15. What is the probability that there is more than 1 customer in the system at any given time?

Use the following information to determine the optimal overbooking policy for a spa center at downtown Marquette. The center's capacity is 12 guests. The historic number of no-shows for a typical day, along with the probability of occurrence, is shown in the following table. The average profitability per guest is $80, and the cost of lost goodwill per guest due to overbooking is approximately $40. -Calculate the total expected profit with 13 reservations (which means 1 overbooking).

A street noodle vendor (one server) in Singapore can service an average of 20 customers per hour. Given an average arrival rate of 12 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -What is the probability that there is more than 1 customer in the system at any given time?

A street noodle vendor (one server) in Singapore can service an average of 20 customers per hour. Given an average arrival rate of 12 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -Change the arrival rate from 12 customers per hour to 10 customers per hour. What is the probability that there is more than 1 customer in the system at any given time?

A street noodle vendor (one server) in Singapore can service an average of 20 customers per hour. Given an average arrival rate of 12 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -Calculate the mean waiting time in the system (being served and in the queue).

A street noodle vendor in Singapore can service an average of 10 customers per hour. Given an average arrival rate of 8 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -What is the probability of having exactly 15 customers arriving within 1 hour?

A street noodle vendor in Singapore can service an average of 10 customers per hour. Given an average arrival rate of 8 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -What is the probability that less than 10 customers will arrive in 1 hour, when the mean arrival rate is 15 customers per hour and interarrival times are exponentially distributed?

A street noodle vendor (one server) in Singapore can service an average of 20 customers per hour. Given an average arrival rate of 12 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -Calculate the mean server utilization.

A street noodle vendor in Singapore can service an average of 10 customers per hour. Given an average arrival rate of 8 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -What is the probability that, at most, 10 customers will arrive in 1 hour, when the mean arrival rate is 15 customers per hour, and interarrival times are exponentially distributed?

Use the following information to determine the optimal overbooking policy for a motel at a rural town in South Carolina. The motel's capacity is 30 rooms. The historic number of no-shows for a typical day, along with the probability of occurrence, is shown in the following table. The average profitability per room is $110, and the cost of lost goodwill per guest due to overbooking is approximately $60. -Calculate the total expected profit with 30 reservations (and no overbooking).

A street noodle vendor (one server) in Singapore can service an average of 20 customers per hour. Given an average arrival rate of 12 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand. -Calculate the mean number of customers in the queue.

Use the following information to determine the optimal overbooking policy for a motel at a rural town in South Carolina. The motel's capacity is 30 rooms. The historic number of no-shows for a typical day, along with the probability of occurrence, is shown in the following table. The average profitability per room is $110, and the cost of lost goodwill per guest due to overbooking is approximately $60. -Calculate the total expected profit with 31 reservations (which means 1 overbooking).