Question

Is it better to go to one fast server or several slower servers?
Would you rather go to a server that can process customers at a rate of 30 per hour or to a line feeding a five-server system that can serve 6 customers per hour? Assume an arrival rate of 25 customers per hour. Which do you choose and why?
This is really two problems that we will compare: M/M/1 vs. M/M/S. Start by writing down the information that you know, then plug in that information into the appropriate formulas from the class notes. For Wq and Ws, convert the results to minutes by multiplying by 60 min/hr but only use the values in hours in the formulas. For the M/M/s model, round / to one decimal place and obtain P0 and Lq from the Infinite Source Table on pages 826-827 of the text.
M/M/1
 = _________ = _________

P0 =
Lq =
Ls =
Wq =
Ws =
M/M/s
 = _________ / = _________ = _________ M = _________
P0 = __________
Lq = __________
Ls =
Wq =
Ws =
Which model is better, the M/M/1 or M/M/s?
Why?

Answer 1