Formulas for SCM 300 Exam 3
% of time the worker is busy - CORRECT ANSWER-ρ=λ/µ
Probability there are "n" customers in the system - CORRECT ANSWER-Pn=
(1-ρ) ρn
Probability the system is empty - CORRECT ANSWER-P0=1-ρ
Average # of customers in the line - CORRECT ANSWER-n1=ρ[λ/(µ-λ)]
Average # of customers in the system - CORRECT ANSWER-ns=λ/(µ-λ)]
Average amount of time customers wait in line - CORRECT ANSWER-t1 =
ρ[1/(µ-λ)
Average amount of time a customer spends in the system - CORRECT
ANSWER-ts = 1/(µ-λ)
Order size Required - CORRECT ANSWER-(actual demand)/(proportion of
acceptable product per order)
Inventory Future (Inv2) - CORRECT ANSWER-(Inv1)Inv Present [(Sqrt WH
Future)/ (Sqrt WH Present)]
% of time the worker is busy - CORRECT ANSWER-ρ=λ/µ
Probability there are "n" customers in the system - CORRECT ANSWER-Pn=
(1-ρ) ρn
Probability the system is empty - CORRECT ANSWER-P0=1-ρ
Average # of customers in the line - CORRECT ANSWER-n1=ρ[λ/(µ-λ)]
Average # of customers in the system - CORRECT ANSWER-ns=λ/(µ-λ)]
Average amount of time customers wait in line - CORRECT ANSWER-t1 =
ρ[1/(µ-λ)
Average amount of time a customer spends in the system - CORRECT
ANSWER-ts = 1/(µ-λ)
Order size Required - CORRECT ANSWER-(actual demand)/(proportion of
acceptable product per order)
Inventory Future (Inv2) - CORRECT ANSWER-(Inv1)Inv Present [(Sqrt WH
Future)/ (Sqrt WH Present)]
