Exam 11: Waiting Line Models

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For a single-server queuing system, the average number of customers in the waiting line is one less than the average number in the system.

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​Diagram the servers and arrivals in the single and multiple channel models. Designate the line and the system.

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​Give examples of systems you have seen in which a) blocked arrivals are cleared, and b) there is a finite calling population.

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Operating characteristics formulas for the single-channel queue do NOT require

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​How can a system be changed to improve the service rate?

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In developing the total cost for a waiting line, waiting cost takes into consideration both the time spent waiting in line and the time spent being served.

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Two new checkout scanning systems are under consideration by a retail store. Arrivals to the checkout stand follow the Poisson distribution with λ = 2 per minute. The cost for waiting is $18 per hour. The first system has an exponential service rate of 5 per minute and costs $10 per hour to operate. The second system has an exponential service rate of 8 per minute and costs $20 per hour to operate. Which system should be chosen?

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Waiting line models describe the transient-period operating characteristics of a waiting line.

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