Basic Queuing Theory Exercises
Suppose sales agents take orders in person for office supplies and
phone their orders to an order entry clerk at their company's
regional headquarters. Work the following problems.
- The order entry clerk receives an average of 20 per hour and
can process them at an average of 30 per hour. Determine the
average number of orders waiting to be processed and the
average time an order spends waiting to be processed for the
following levels of processing variability.
- s = 3.0 minutes
- s = 2.0 minutes
- s = 1.0 minutes
Note: Recall that the average number waiting (LQ)
and the average time spent waiting (WQ) are
related by Little's formula: LQ = lWQ
- Suppose the clerk is capable of processing claims at an
average of only 20 per hour, with a standard deviation in processing
times of 1.0 minutes. Determine the average time an order will wait
before being processed.
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