Vacations Inc. has two telephone operators answering incoming phone calls. In addi- tion, one caller can...

 

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Vacations Inc. has two telephone operators answering incoming phone calls. In addi- tion, one caller can be put in a waiting line if both operators are busy. If all three lines (two operators plus one waiting line) are busy, the caller gets a busy signal and calls another booking office, so that customer is lost. Calls arrive according to a Poisson process, 15 per hour on average. The length of a call is 4 minutes on average, exponentially distribution. The cost of a phoneline is 0, 20 per hour and the cost of a telephone operator is 9,00 per hour. The average profit on a call is 13,50. The owner of Vacations Inc. is considering getting an extra phoneline and hiring a third telephone operator. a. In the current situation, what percentage of the time is each operator working? b. What is the (long-run) probability that a caller will be lost in the current situation? c. What is the (long-run) probability that a caller will be lost when an additional telephone line is bought and a third operator is hired? d. Do you advice the owner to hire an additional telephone line plus operator or not? Vacations Inc. has two telephone operators answering incoming phone calls. In addi- tion, one caller can be put in a waiting line if both operators are busy. If all three lines (two operators plus one waiting line) are busy, the caller gets a busy signal and calls another booking office, so that customer is lost. Calls arrive according to a Poisson process, 15 per hour on average. The length of a call is 4 minutes on average, exponentially distribution. The cost of a phoneline is 0, 20 per hour and the cost of a telephone operator is 9,00 per hour. The average profit on a call is 13,50. The owner of Vacations Inc. is considering getting an extra phoneline and hiring a third telephone operator. a. In the current situation, what percentage of the time is each operator working? b. What is the (long-run) probability that a caller will be lost in the current situation? c. What is the (long-run) probability that a caller will be lost when an additional telephone line is bought and a third operator is hired? d. Do you advice the owner to hire an additional telephone line plus operator or not?

Answer rating: 100% (QA)

a To find the percentage of time each operator is working in the current situation we need to consider the utilization of each operator The utilizatio... View the full answer