Suman Ray Pramanik
Indian Institute of Technology (IIT), Kanpur
Suman Ray Pramanik has created this Calculator and 25+ more calculators!
Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has verified this Calculator and 25+ more calculators!

7 Other formulas that you can solve using the same Inputs

Expected waiting time for customers in the queue
Expected waiting time for customers in the queue=Mean arrival rate/(Mean service rate*(Mean service rate-Mean arrival rate)) GO
Probability of customers exceeding a number
Probability of customers exceeding a number=Mean arrival rate*Exceeded number queuing theory/Mean service rate GO
Expected number of customers in the system
Expected number of customers in the system=Mean arrival rate/(Mean service rate-Mean arrival rate) GO
Expected length of non-empty queue
Expected length of non-empty queue=Mean service rate/(Mean service rate-Mean arrival rate) GO
Expected waiting time for customers in the system
Expected waiting time for customers in the system=1/(Mean service rate-Mean arrival rate) GO
Non-empty queue probability
Non-empty queue probability=(Mean arrival rate/Mean service rate)^2 GO
Traffic intensity
Traffic intensity=Mean arrival rate/Mean service rate GO

Expected number of customers in the queue Formula

Expected number of customers in the queue=Mean arrival rate^2/(Mean service rate*(Mean service rate-Mean arrival rate))
More formulas
Single Exponential Smoothing GO
Forecasting Error GO
EOQ Purchase Model with No Shortage GO
Number of Order for Purchase Models with No Shortage GO
Time Taken for Purchase Model with No Shortage GO
Total Cost for Purchase Model with No Shortage GO
EOQ Manufacturing Model with No Shortage GO
Period t1 Manufacturing with No Shortage GO
Period t2 Manufacturing with No Shortage GO
Total optimum cost for the manufacturing model GO
EOQ Purchase Model with Shortage GO
Maximum inventory purchase model GO
Maximum stock out purchase model GO
Time taken for purchase model with shortage GO
Period t1 purchase with shortage GO
Period t2 for Purchase Model with Shortage GO
Total optimum cost for the purchase model GO
EOQ Manufacturing Model with Shortage GO
Maximum inventory manufacturing model GO
Maximum stock out manufacturing model GO
Time taken for manufacturing model with the shortage GO
Period t1 manufacturing with shortage GO
Period t2 for Manufacturing Model with Shortage GO
Period t3 Manufacturing model GO
Period t4 Manufacturing model GO
Reorder Point GO
Early Finish Time GO
Late Finish Time GO
PERT expected time GO
Standard Deviation GO
Variance GO
Crashing GO
Standard normal variation GO
New number in simplex table GO
Traffic intensity GO
Expected number of customers in the system GO
Expected waiting time for customers in the queue GO
Expected waiting time for customers in the system GO
Non-empty queue probability GO
Probability of customers exceeding a number GO
Expected length of non-empty queue GO
Total Float GO
Free Float GO
Independent float GO
Total Float given start times GO
Total Float given finish times GO
Independent float given slack GO
Point r on a line GO
Binomial distribution GO
Poisson distribution GO
Normal distribution GO

What is expected number of customers in the queue?

The expected number of customers in the queue is the number of customers that are waiting for their queue in the queuing system. From the set of customers waiting for service, we choose the one to be served next either by FIFO (first-in-first-out) - also known as FCFS (first-come-first-served) or by LIFO (last-in-first-out) randomly. This is often called the queue discipline.

How to Calculate Expected number of customers in the queue?

Expected number of customers in the queue calculator uses Expected number of customers in the queue=Mean arrival rate^2/(Mean service rate*(Mean service rate-Mean arrival rate)) to calculate the Expected number of customers in the queue, The expected number of customers in the queue is the number of customers that are waiting for their queue in the queuing system. Expected number of customers in the queue and is denoted by Lq symbol.

How to calculate Expected number of customers in the queue using this online calculator? To use this online calculator for Expected number of customers in the queue, enter Mean arrival rate (λ) and Mean service rate (µ) and hit the calculate button. Here is how the Expected number of customers in the queue calculation can be explained with given input values -> 8.1 = 1800^2/(2000*(2000-1800)).

FAQ

What is Expected number of customers in the queue?
The expected number of customers in the queue is the number of customers that are waiting for their queue in the queuing system and is represented as Lq=λ^2/(µ*(µ-λ)) or Expected number of customers in the queue=Mean arrival rate^2/(Mean service rate*(Mean service rate-Mean arrival rate)). The mean arrival rate is the mean number of arrivals per time period and The mean service rate is the mean number of customers served per time period.
How to calculate Expected number of customers in the queue?
The expected number of customers in the queue is the number of customers that are waiting for their queue in the queuing system is calculated using Expected number of customers in the queue=Mean arrival rate^2/(Mean service rate*(Mean service rate-Mean arrival rate)). To calculate Expected number of customers in the queue, you need Mean arrival rate (λ) and Mean service rate (µ). With our tool, you need to enter the respective value for Mean arrival rate and Mean service rate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!