Questions from Management Science


Q: Each airline passenger and his luggage must be checked for security.

Each airline passenger and his luggage must be checked for security. Suppose that at Gotham City Airport, 3.6 passengers per minute arrive, on average. Also, assume that interarrival times are exponen...

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Q: A supermarket is trying to decide how many cash registers to keep

A supermarket is trying to decide how many cash registers to keep open. Suppose an average of 18 customers arrive each hour, and the average checkout time for a customer is four minutes. Interarrival...

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Q: Explain the basic relationship between the exponential distribution and a Poisson process

Explain the basic relationship between the exponential distribution and a Poisson process. Also, explain how the exponential distribution and the Poisson distribution are fundamentally different.

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Q: A small bank is trying to determine the number of tellers to

A small bank is trying to determine the number of tellers to employ. The total cost of employing a teller is $100 per day, and a teller can serve an average of 160 customers per day. On average, 210 c...

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Q: In this problem, assume that all interarrival and service times are

In this problem, assume that all interarrival and service times are exponentially distributed. a. At present, the finance department and the marketing department each has its own typists. Each typist...

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Q: A furniture company manufactures tables and chairs. Each table and chair

A furniture company manufactures tables and chairs. Each table and chair must be made entirely out of oak or entirely out of pine. A total of 25,000 board feet of oak and 20,000 board feet of pine are...

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Q: MacBurger’s is attempting to determine how many servers to have available during

MacBurger’s is attempting to determine how many servers to have available during the breakfast shift. On average, 100 customers arrive per hour at the restaurant. Each server can handle an average of...

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Q: On average, 100 customers arrive per hour at the Gotham City

On average, 100 customers arrive per hour at the Gotham City Bank. The average service time for each customer is one minute. Service times and interarrival times are exponentially distributed. The man...

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Q: A service facility consists of one server who can serve an average

A service facility consists of one server who can serve an average of two customers per hour (service times are exponential). An average of three customers per hour arrive at the facility (interarriva...

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Q: On average, 40 cars per hour are tempted to use the

On average, 40 cars per hour are tempted to use the drive-through window at the Hot Dog King Restaurant. (We assume that interarrival times are exponentially distributed.) If a total of more than four...

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