Put and in the same time units. µ λ The QueuMMcK spreadsheet uses mean service which equals 1 / (But it uses for mean time, µ. λ arrival rate, so be sure to enter in the first box λ and 1 / in the second.) µ If there are lines and servers (typical grocery c c store model), divide by and solve Model 1 c λ (do not modify The solutions will describe µ). the characteristics of each line. Total customers waiting in the system = Total customers in cLq. the system = cL. If have a single server and if service times are fixed (i.e., they have no randomness or variability), then use Model 3 instead of Model 1. In that case, the average waiting time is cut in half. Implications from Queuing Formulas In a time-sensitive environment, managers
Put λ and µ in the same time units. The QueuMMcK spreadsheet uses mean service time, which equals 1 / µ. (But it uses λ for mean arrival rate, so be sure to enter λ in the first box and 1 / µ in the second.) If there are c lines and c servers (typical grocery store model), divide λ by c and solve Model 1 (do not modify µ). The solutions will describe the characteristics of each line. Total customers waiting in the system = cLq. Total customers in the system = cL. If have a single server and if service times are fixed (i.e., they have no randomness or variability), then use Model 3 instead of Model 1. In that case, the average waiting time is cut in half. Implications from Queuing Formulas In a time-sensitive environment, managers
MgtOp-470-Topic-5.docx