Expected Waiting Time for Customers in System Calculator

✖The Mean Service Rate is the mean number of customers served per time period.ⓘ Mean Service Rate [µ]			+10% -10%
✖The mean arrival rate is the mean number of arrivals per time period.ⓘ Mean Arrival Rate [λ_a]			+10% -10%

✖The Expected Waiting Time for Customers in System is the expected time a customer has to wait for in the queuing system.ⓘ Expected Waiting Time for Customers in System [W_s]

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Expected Waiting Time for Customers in System Solution

STEP 0: Pre-Calculation Summary

Formula Used

Expected Waiting Time for Customers in System = 1/(Mean Service Rate-Mean Arrival Rate)
W_s = 1/(µ-λ_a)
This formula uses 3 Variables

Variables Used

Expected Waiting Time for Customers in System - The Expected Waiting Time for Customers in System is the expected time a customer has to wait for in the queuing system.
Mean Service Rate - The Mean Service Rate is the mean number of customers served per time period.
Mean Arrival Rate - The mean arrival rate is the mean number of arrivals per time period.

STEP 1: Convert Input(s) to Base Unit

Mean Service Rate: 2000 --> No Conversion Required
Mean Arrival Rate: 1800 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_s = 1/(µ-λ_a) --> 1/(2000-1800)

Evaluating ... ...

W_s = 0.005

STEP 3: Convert Result to Output's Unit

0.005 --> No Conversion Required

FINAL ANSWER

0.005 <-- Expected Waiting Time for Customers in System

(Calculation completed in 00.004 seconds)

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Credits

Created by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

Suman Ray Pramanik has created this Calculator and 50+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< Time Estimation Calculators

Expected Waiting Time for Customers in Queue

LaTeX Go Expected Waiting Time for Customers in Queue = Mean Arrival Rate/(Mean Service Rate*(Mean Service Rate-Mean Arrival Rate))

Free Float

LaTeX Go Free Float = Early Finish Time-Early Start Time-Activity Time

Expected Waiting Time for Customers in System

LaTeX Go Expected Waiting Time for Customers in System = 1/(Mean Service Rate-Mean Arrival Rate)

Early Finish Time

LaTeX Go Early Finish Time = Early Start Time+Safety Stock

Expected Waiting Time for Customers in System Formula

LaTeX Go

Expected Waiting Time for Customers in System = 1/(Mean Service Rate-Mean Arrival Rate)
W_s = 1/(µ-λ_a)

What is Expected Waiting Time for Customers in the System?

The expected waiting time for customers in the system is the expected time a customer has to wait for in the queuing system. This also includes the customers waiting in the queue.

How to Calculate Expected Waiting Time for Customers in System?

Expected Waiting Time for Customers in System calculator uses Expected Waiting Time for Customers in System = 1/(Mean Service Rate-Mean Arrival Rate) to calculate the Expected Waiting Time for Customers in System, The expected waiting time for customers in system is the expected time a customer has to wait for in the queuing system. Expected Waiting Time for Customers in System is denoted by W_s symbol.

How to calculate Expected Waiting Time for Customers in System using this online calculator? To use this online calculator for Expected Waiting Time for Customers in System, enter Mean Service Rate (µ) & Mean Arrival Rate (λ_a) and hit the calculate button. Here is how the Expected Waiting Time for Customers in System calculation can be explained with given input values -> 0.005 = 1/(2000-1800).

FAQ

What is Expected Waiting Time for Customers in System?

The expected waiting time for customers in system is the expected time a customer has to wait for in the queuing system and is represented as W_s = 1/(µ-λ_a) or Expected Waiting Time for Customers in System = 1/(Mean Service Rate-Mean Arrival Rate). The Mean Service Rate is the mean number of customers served per time period & The mean arrival rate is the mean number of arrivals per time period.

How to calculate Expected Waiting Time for Customers in System?

The expected waiting time for customers in system is the expected time a customer has to wait for in the queuing system is calculated using Expected Waiting Time for Customers in System = 1/(Mean Service Rate-Mean Arrival Rate). To calculate Expected Waiting Time for Customers in System, you need Mean Service Rate (µ) & Mean Arrival Rate (λ_a). With our tool, you need to enter the respective value for Mean Service Rate & Mean Arrival Rate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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