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Consider a system where jobs are queued and processed in FIFO order. They currently wait an average of N seconds before being processed. If jobs take an average of M seconds to process, what will be the impact to N if we reduce the processing time to M/2 seconds?

A: 

You may want to read these two links on queuing theory. The latter contains a number of useful formulas for calculating the average lengths of queues and wait times and a good explanation of the factors involved.

Queuing Theory for Dummies (no offence!)

How to size message queues

Andrew Grant