A television repairman finds that the time spent on his jobs has an exponential distribution with a mean of 30 minutes. If he repairs sets in the order in which they come in, and if arrival of sets follows a Poission distribution approximately with an average rate of 10 per 8 hours day, what is the repairman’s expected idle time each day, How many jobs are ahead of the average set just brought in?
To determine the repairman's expected idle time each day and the number of jobs ahead of the average set just brought in, we can use concepts from queuing theory and operational research.
1. Expected Idle Time:
The repairman's expected idle time can be calculated using Little's Law, which states that the average number of customers in the system (L) is equal to the __________ ____ ______ _______ ___ ___ ___ ______ _______ _________.
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