Questions from Management Science


Q: Assume that parts arrive at a machining center at a rate of

Assume that parts arrive at a machining center at a rate of 60 parts per hour. The machining center is capable of processing 75 parts per hour—that is, the mean time to machine a part is 0.8 minute. I...

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Q: On average, 40 jobs arrive per day at a factory.

On average, 40 jobs arrive per day at a factory. The time between arrivals of jobs is exponentially distributed. The factory can process an average of 42 jobs per day, and the time to process a job is...

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Q: At the Franklin Post Office, patrons wait in a single line

At the Franklin Post Office, patrons wait in a single line for the first open window. On average, 100 patrons enter the post office per hour, and each window can serve an average of 45 patrons per hou...

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Q: The manager of a large group of employees must decide whether she

The manager of a large group of employees must decide whether she needs another photocopying machine. The cost of a machine is $40 per eight-hour day regardless of whether the machine is in use. On av...

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Q: The Newcoat Painting Company has for some time been experiencing high demand

The Newcoat Painting Company has for some time been experiencing high demand for its automobile repainting service. Because it has had to turn away business, management is concerned that the limited s...

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Q: On average, 90 patrons arrive per hour at a hotel lobby

On average, 90 patrons arrive per hour at a hotel lobby (interarrival times are exponential) waiting to check in. At present there are five clerks, and patrons wait in a single line for the first avai...

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Q: The mail order firm of L. L. Pea receives an

The mail order firm of L. L. Pea receives an average of 200 calls per hour, where times between calls are exponentially distributed. It takes an L. L. Pea operator an average of three minutes to handl...

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Q: Bloomington Hospital knows that insurance companies are going to reduce the average

Bloomington Hospital knows that insurance companies are going to reduce the average length of stay of many types of patients. How can queueing models be used to determine how changes in insurance poli...

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Q: Excessive delays have recently been noted on New York City’s 911 system

Excessive delays have recently been noted on New York City’s 911 system. Discuss how you would use queueing models to improve the performance of the 911 system.

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Q: Suppose that annually an average of  library patrons want to borrow

Suppose that annually an average of  library patrons want to borrow a book. A patron borrows the book for an average of 1/ years. Suppose we observe that the book is actually borrowed an average of...

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