*** NOTE- This is only meant for single service (M/M/1) at this time, I will come back to add more than 1 server capability at a later date.
Mean number in system : Ls = λ / (μ - λ)
Mean number in queue : Lq = ρλ / (μ - λ)
Mean time in system : Ws = 1 / (μ - λ)
Mean time in queue : Wq = ρ / (μ - λ)
Queueing Theory (often also spelled Queuing) is a math concept generally taught in Operations Research courses and it is the study of queue's; or the time it takes while waiting in line to process each person, or call. This is particularly important for business managers that need to make staffing decisions to handle customer volume. Queue management is important to ensure customer service levels.
The following video provides an easy to understand, and indepth, overview of Queue Theory.
Queue Theory Formulae
ρ = λ / μMean number in system : Ls = λ / (μ - λ)
Mean number in queue : Lq = ρλ / (μ - λ)
Mean time in system : Ws = 1 / (μ - λ)
Mean time in queue : Wq = ρ / (μ - λ)
What is Queueing Theory?
Queueing Theory (often also spelled Queuing) is a math concept generally taught in Operations Research courses and it is the study of queue's; or the time it takes while waiting in line to process each person, or call. This is particularly important for business managers that need to make staffing decisions to handle customer volume. Queue management is important to ensure customer service levels.
Queue Video Tutorial
The following video provides an easy to understand, and indepth, overview of Queue Theory.