About This Model
Extension of M/M/1 with c parallel servers. Commonly used for call centers, banks, and healthcare facilities.
Characteristics
- Poisson arrivals (M)
- Exponential service (M)
- c parallel servers (C)
- Infinite capacity (∞)
- FIFO discipline
Symbols
λArrival rate
μService rate per server
cNumber of servers
ρUtilization (λ/cμ)
P₀Probability system empty
Stability
System is stable only when ρ = λ/(cμ) < 1. All servers share the same queue.
Input Parameters
Select Operations
Metrics to Calculate
Output Options