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)
Ws = 1/(µ-λa)
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
Ws = 1/(µ-λa) --> 1/(2000-1800)
Evaluating ... ...
Ws = 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)

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
Akshada Kulkarni has verified this Calculator and 900+ more calculators!

16 Time Estimation Calculators

Expected Waiting Time for Customers in Queue
Go Expected Waiting Time for Customers in Queue = Mean Arrival Rate/(Mean Service Rate*(Mean Service Rate-Mean Arrival Rate))
Standard Normal Variation
Go Standard Normal Variation = (Normal Variate-Expected Value)/Standard Deviation
PERT Expected Time
Go PERT Expected Time = (Optimistic Time+4*Most Likely Time+Pessimistic Time)/6
Time Taken for Manufacturing Model with Shortage
Go Time taken for Manufacturing Model with Shortage = EOQ Manufacturing Model with Shortage/Demand per Year
Independent Float
Go Independent Float = Early Finish Time-Late Start Time-Activity Time
Total Float
Go Total Float = Late Finish Time-(Early Start Time+Activity Time)
Free Float
Go Free Float = Early Finish Time-Early Start Time-Activity Time
Expected Waiting Time for Customers in System
Go Expected Waiting Time for Customers in System = 1/(Mean Service Rate-Mean Arrival Rate)
Time Taken for Purchase Model with No Shortage
Go Time taken for Purchase Model no Shortage = Economic Order Quantity/Demand per Year
Time Taken for Purchase Model with Shortage
Go Time taken for Purchase Model with Shortage = EOQ Purchase Model/Demand per Year
Total Float given Finish Time
Go Total Float given Finish Times = Late Finish Time-Early Finish Time
Standard Deviation given Optimistic and Pessimistic Time
Go Standard Deviation = (Pessimistic Time-Optimistic Time)/6
Independent Float given Slack
Go Independent Float given Slack = Free Float-Slack of Event
Late Finish Time
Go Late Finish Time = Late Start Time+Duration of Activity
Early Finish Time
Go Early Finish Time = Early Start Time+Safety Stock
Total Float given Start Time
Go Total Float = Late Start Time-Early Start Time

Expected Waiting Time for Customers in System Formula

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

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 Ws 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 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 Ws = 1/(µ-λa) 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 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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