# Question: You are given an M M 1 queueing system with mean arrival

You are given an M/M/1 queueing system with mean arrival rate λ and mean service rate μ. An arriving customer receives n dollars if n customers are already in the system. Determine the expected cost in dollars per customer.

## Answer to relevant Questions

Midtown Bank always has two tellers on duty. Customers arrive to receive service from a teller at a mean rate of 40 per hour. A teller requires an average of 2 minutes to serve a customer. When both tellers are busy, an ...In the Blue Chip Life Insurance Company, the deposit and withdrawal functions associated with a certain investment product are separated between two clerks, Clara and Clarence. Deposit slips arrive randomly (a Poisson ...Consider the finite queue variation of the M/M/s model. Derive the expression for Lq given in Sec. 17.6 for this model. Marsha operates an expresso stand. Customers arrive according to a Poisson process at a mean rate of 30 per hour. The time needed by Marsha to serve a customer has an exponential distribution with a mean of 75 seconds. (a) ...Consider the finite queue variation of the M/G/1 model, where K is the maximum number of customers allowed in the system. For n = 1, 2, . . . , let the random variable Xn be the number of customers in the system at the ...Post your question