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CH13 Capacity Planning and Queuing Models - Coggle Diagram
CH13 Capacity Planning and Queuing Models
Capacity Planning Challenges
Inability to create a steady flow of
demand
Idle
capacity
Fluctuate - Customer
arrivals
& the
time
customers spend being served
Customers
Participants
& The level of
Congestion
Naive Approach
Facility requirements
The average number of customer in a system
The arrival rate * The average waiting time
Equipment requiremtns
Labor requiremnt
Analytical Queuing Models
A/B/C
M/M/1
Standard Model
A ：Poisson arrival rate
B：Exponential service time distribution
C：Single-server queuing model
Classifies parallel-server queuing model
Three Features
A -- The distribution of
time between arrivals
B -- The distribution of
service times
C -- The
number
of parallel
servers
(cashiers at a supermarket)
Little's Law
The following relationship exists between
the expected number in the system
and
the expected time in the system
L = 系统中的平均顾客数量（包括正在接受服务的和正在排队的）
λ = 平均到达率（单位时间内到达的顾客数）
W = 顾客在系统中的平均停留时间
