λ= μ= b. Calculate P0 c. How many callers, on average, are waiting to place an order under the current operating system?
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Ashley’s department store in Kansas City maintains a successful catalog sales department in which four clerk takes orders by telephone. If four clerks are occupied on four-lines, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party that has waited for the longest is transferred and answered first. Calls come in an average of 3 minutes. The clerk is capable of taking an order in an average of 10 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential.
a. λ= μ=
b. Calculate P0
c. How many callers, on average, are waiting to place an order under the current operating system?
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- Janson's Department Store in Stark, Ohio, maintains a successful catalog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party who has waited the longest is transferred and serviced first. Calls come in at a rate of about 10 per hour. The clerk can take an order in an average of 3.0 minutes. Calls tend to follow a Poisson distribution, and service times tend to be negative exponential. The cost of the clerk is $12 per hour, but because of lost goodwill and sales, Janson's loses about $25 per hour of customer time spent waiting for the clerk to take an order. a) The average time that catalog customers must wait before their calls are transferred to the order clerk = minutes (round your response to two decimal places). b) The average number of callers waiting to place an…Experience the Tour de France (ETF) is a specialty travel agent. It arranges vacations for amateur cyclists who want to experience the Tour de France by riding through one or more stages in the race. It has five people who take calls from clients. Each call lasts on average 25 minutes, with a standard deviation of 50 minutes. A call arrives on average every 20 minutes with a standard deviation of 20 minutes. (Do not round intermediate calculations. Round your answer to two decimal places.) On average, how many minutes does a caller wait before talking to an agent? minutesJanson's Department Store in Stark, Ohio, maintains a successful catalog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party who has waited the longest is transferred and serviced first. Calls come in at a rate of about 10 per hour. The clerk can take an order in an average of 4.0 minutes. Calls tend to follow a Poisson distribution, and service times tend to be negative exponential. The cost of the clerk is $8 per hour, but because of lost goodwill and sales, Janson's loses about $25 per hour of customer time spent waiting for the clerk to take an order. a) The average time that catalog customers must wait before their calls are transferred to the order clerk = minutes (round your response to two decimal places). b) The average number of callers waiting to place an…
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