Average Poisson Call Arrival Rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Poisson Call Arrival Rate = Poisson Arrival/Time Period
λ = Ap/T
This formula uses 3 Variables
Variables Used
Average Poisson Call Arrival Rate - Average Poisson Call Arrival Rate refers to the average rate at which calls arrive in the system over a specific period of time.
Poisson Arrival - Poisson arrival refers to a specific arrival pattern or process that follows the characteristics of a Poisson distribution.
Time Period - (Measured in Second) - Time Period refers to the duration or length of time over which the calls are being considered or observed.
STEP 1: Convert Input(s) to Base Unit
Poisson Arrival: 114.4 --> No Conversion Required
Time Period: 30 Second --> 30 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λ = Ap/T --> 114.4/30
Evaluating ... ...
λ = 3.81333333333333
STEP 3: Convert Result to Output's Unit
3.81333333333333 --> No Conversion Required
FINAL ANSWER
3.81333333333333 3.813333 <-- Average Poisson Call Arrival Rate
(Calculation completed in 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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22 Telecommunication Traffic System Calculators

Cost of Common Hardware
Go Cost of Common Hardware = Cost of Switching System-(Number of Switching Element*Cost per Switching Element)-Cost of Common Control System
Cost of Switching System
Go Cost of Switching System = Number of Switching Element*Cost per Switching Element+Cost of Common Hardware+Cost of Common Control System
Time Required for Functions other than Switching
Go Time Required Other than Switching = Call Setup Time-Number of Switching Stage*Average Switching Time per Stage
Call Setup Time
Go Call Setup Time = Time Required Other than Switching+Number of Switching Stage*Average Switching Time per Stage
Cost Capacity Index
Go Cost Capacity Index = (Number of Subscriber Lines*Switching Capacity)/Cost per Subscriber
Cost per Subscriber
Go Cost per Subscriber = (Number of Subscriber Lines*Switching Capacity)/Cost Capacity Index
Downtime
Go Downtime = (Uptime-Availability*Uptime)/Availability
Average Number of Call
Go Average Number of Calls = (Average Occupancy*Time Period)/Average Holding Time
Average Holding Time
Go Average Holding Time = (Average Occupancy*Time Period)/Average Number of Calls
Average Occupancy
Go Average Occupancy = (Average Number of Calls*Average Holding Time)/Time Period
Trunk Occupancy
Go Trunk Occupancy = Occupancy*(1-Grade of Service)/Average Occupancy
Uptime
Go Uptime = (Availability*Downtime)/(1-Availability)
Traffic Handling Capability
Go Traffic Handling Capacity = (2*Switching Capacity)/Number of Subscriber Lines
Switching Capacity
Go Switching Capacity = (Number of Subscriber Lines*Traffic Handling Capacity)/2
Total Number of Offered Calls
Go Total Number of Offered Calls = Number of Lost Calls/Grade of Service
Number of Lost Call
Go Number of Lost Calls = Total Number of Offered Calls*Grade of Service
Grade of Service
Go Grade of Service = Number of Lost Calls/Total Number of Offered Calls
Availability
Go Availability = Uptime/(Uptime+Downtime)
Average Poisson Call Arrival Rate
Go Average Poisson Call Arrival Rate = Poisson Arrival/Time Period
Poisson Arrival
Go Poisson Arrival = Average Poisson Call Arrival Rate*Time Period
Quantization Error
Go Quantization Error = Sinusoidal Input/(2*Voltage)
Unavailability of System
Go Unavailability = 1-Availability

Average Poisson Call Arrival Rate Formula

Average Poisson Call Arrival Rate = Poisson Arrival/Time Period
λ = Ap/T

What is Poisson Arrival Process?

The probability that one arrival occurs between t and t+delta t is t + o( t), where is a constant, independent of the time t, and independent of arrivals in earlier intervals. is called the arrival rate.

How to Calculate Average Poisson Call Arrival Rate?

Average Poisson Call Arrival Rate calculator uses Average Poisson Call Arrival Rate = Poisson Arrival/Time Period to calculate the Average Poisson Call Arrival Rate, The Average Poisson Call Arrival Rate formula is defined as the discrete probability distribution of the number of events occurring in a given time period. Average Poisson Call Arrival Rate is denoted by λ symbol.

How to calculate Average Poisson Call Arrival Rate using this online calculator? To use this online calculator for Average Poisson Call Arrival Rate, enter Poisson Arrival (Ap) & Time Period (T) and hit the calculate button. Here is how the Average Poisson Call Arrival Rate calculation can be explained with given input values -> 3.813333 = 114.4/30.

FAQ

What is Average Poisson Call Arrival Rate?
The Average Poisson Call Arrival Rate formula is defined as the discrete probability distribution of the number of events occurring in a given time period and is represented as λ = Ap/T or Average Poisson Call Arrival Rate = Poisson Arrival/Time Period. Poisson arrival refers to a specific arrival pattern or process that follows the characteristics of a Poisson distribution & Time Period refers to the duration or length of time over which the calls are being considered or observed.
How to calculate Average Poisson Call Arrival Rate?
The Average Poisson Call Arrival Rate formula is defined as the discrete probability distribution of the number of events occurring in a given time period is calculated using Average Poisson Call Arrival Rate = Poisson Arrival/Time Period. To calculate Average Poisson Call Arrival Rate, you need Poisson Arrival (Ap) & Time Period (T). With our tool, you need to enter the respective value for Poisson Arrival & Time Period 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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