A full-fillment center has 10 picking machines that receive jobs every 12 minutes (5 arriving per hour).
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Question:
A full-fillment center has 10 picking machines that receive jobs every 12 minutes (5 arriving per hour). The job arrivals have been determined to be Poisson distributed. The one technician can program a picker in an average of 0.8 minutes (75 programs per hour) following an exponential distribution. Using these values and assuming the MM1 assumptions are met, calculate the following operating characteristics: - Average system utilization - Average number of customers in the queue - Average number of customers in the system - Average waiting time in the queue - Average time in the system - Probability the system is empty |
Please assist with determining the below.
1. Data Table | Symbol / Equation | Inputs |
Arrival rate (l) | l | |
Service rate (m) | m | |
Number of servers | m | |
Population size | N |
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