ODL-DSBA Operations Research & Optimization

Further to the example in slide #32:  Assume there are Six administrative assistants who use an office copier. The average time between arrivals for each assistant is 40 minutes, which is equivalent to an arrival rate of 0.025 arrivals per minute. The mean time each assistant spends at the copier is 5 minutes, which is equivalent to a service rate of 0.20 minutes. Use M/M/1 model with a finite population to determine probability that the copier is idle.  In your computation, what is conjecture of the relationship between the number of administrative assistante and the probability that the copier is idle.