Question
A small grocery store has only one checkout counter. Customer arrivals follow a Poisson distribution with lambda = 12 per hour. The service times follow
A small grocery store has only one checkout counter. Customer arrivals follow a Poisson distribution with lambda = 12 per hour. The service times follow an empirical distribution between 1 to 6 minutes with the probabilities shown in the table below. Build the experimental model for an eight hour service day and simulate for 1000 replications. Address the following statistics: 1) average wait time 2) proportion who waited 3) utilization of server 4) average time a customer is in the system.
Service time (min) 1 , 2, 3, 4, 5 6
Probability (%)10, 20, 30, 25, 10, 5
Inter-arrival time () | Minutes | ||
Arrivals / min () | arr / min | ||
Length of sim | 480 | Minutes |
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