Average Number of Call Calculator

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Telecommunication Traffic System

Digital Switching System

✖Average Occupancy refers to the average utilization or usage of resources, such as trunks or circuits, within the system over a given period of time.ⓘ Average Occupancy [A_avg]			+10% -10%
✖Time Period refers to the duration or length of time over which the calls are being considered or observed.ⓘ Time Period [T]			+10% -10%
✖Average Holding Time (AHT) refers to the average duration that a call or communication session remains active within the system.ⓘ Average Holding Time [AHT]			+10% -10%

✖Average Number of Calls refers to the average number of concurrent or simultaneous calls occurring within the system at a given time. It is also called Total Number of Calls (N).ⓘ Average Number of Call [n]

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Formula

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Average Number of Call

Formula

`"n" = ("A"_{"avg"}*"T")/"AHT"`

Example

`"44.91018"=("2.5"*"30s")/"1.67s"`

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Download Telecommunication Traffic System Formulas PDF

Average Number of Call Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Number of Calls = (Average Occupancy*Time Period)/Average Holding Time
n = (A_avg*T)/AHT
This formula uses 4 Variables

Variables Used

Average Number of Calls - Average Number of Calls refers to the average number of concurrent or simultaneous calls occurring within the system at a given time. It is also called Total Number of Calls (N).
Average Occupancy - Average Occupancy refers to the average utilization or usage of resources, such as trunks or circuits, within the system over a given period of time.
Time Period - (Measured in Second) - Time Period refers to the duration or length of time over which the calls are being considered or observed.
Average Holding Time - (Measured in Second) - Average Holding Time (AHT) refers to the average duration that a call or communication session remains active within the system.

STEP 1: Convert Input(s) to Base Unit

Average Occupancy: 2.5 --> No Conversion Required
Time Period: 30 Second --> 30 Second No Conversion Required
Average Holding Time: 1.67 Second --> 1.67 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = (A_avg*T)/AHT --> (2.5*30)/1.67

Evaluating ... ...

n = 44.9101796407186

STEP 3: Convert Result to Output's Unit

44.9101796407186 --> No Conversion Required

FINAL ANSWER

44.9101796407186 ≈ 44.91018 <-- Average Number of Calls

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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 per Subscriber

Go Cost per Subscriber = (Number of Subscriber Lines*Switching Capacity)/Cost Capacity Index

Cost Capacity Index

Go Cost Capacity Index = (Number of Subscriber Lines*Switching Capacity)/Cost per Subscriber

Downtime

Go Downtime = (Uptime-Availability*Uptime)/Availability

Average Holding Time

Go Average Holding Time = (Average Occupancy*Time Period)/Average Number of Calls

Average Number of Call

Go Average Number of Calls = (Average Occupancy*Time Period)/Average Holding Time

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

Switching Capacity

Go Switching Capacity = (Number of Subscriber Lines*Traffic Handling Capacity)/2

Uptime

Go Uptime = (Availability*Downtime)/(1-Availability)

Traffic Handling Capability

Go Traffic Handling Capacity = (2*Switching Capacity)/Number of Subscriber Lines

Number of Lost Call

Go Number of Lost Calls = Total Number of Offered Calls*Grade of Service

Total Number of Offered Calls

Go Total Number of Offered Calls = Number of Lost 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 Number of Call Formula

Average Number of Calls = (Average Occupancy*Time Period)/Average Holding Time
n = (A_avg*T)/AHT

What is traffic?

In telecommunication system, traffic is defined as the occupancy of the server in the network. There are two types of traffic viz. voice traffic and data traffic. For voice traffic, the calling rate is defined as the number of calls per traffic path during the busy hour. In a day, the 60 minutes interval in which the traffic is highest is called busy hour (BH).

How to Calculate Average Number of Call?

Average Number of Call calculator uses Average Number of Calls = (Average Occupancy*Time Period)/Average Holding Time to calculate the Average Number of Calls, The average number of calls in telecommunication switching systems refers to the average number of concurrent or simultaneous calls occurring within the system at a given time. It represents the typical level of call activity or traffic load being handled by the switching system. Average Number of Calls is denoted by n symbol.

How to calculate Average Number of Call using this online calculator? To use this online calculator for Average Number of Call, enter Average Occupancy (A_avg), Time Period (T) & Average Holding Time (AHT) and hit the calculate button. Here is how the Average Number of Call calculation can be explained with given input values -> 44.91018 = (2.5*30)/1.67.

FAQ

What is Average Number of Call?

The average number of calls in telecommunication switching systems refers to the average number of concurrent or simultaneous calls occurring within the system at a given time. It represents the typical level of call activity or traffic load being handled by the switching system and is represented as n = (A_avg*T)/AHT or Average Number of Calls = (Average Occupancy*Time Period)/Average Holding Time. Average Occupancy refers to the average utilization or usage of resources, such as trunks or circuits, within the system over a given period of time, Time Period refers to the duration or length of time over which the calls are being considered or observed & Average Holding Time (AHT) refers to the average duration that a call or communication session remains active within the system.

How to calculate Average Number of Call?

The average number of calls in telecommunication switching systems refers to the average number of concurrent or simultaneous calls occurring within the system at a given time. It represents the typical level of call activity or traffic load being handled by the switching system is calculated using Average Number of Calls = (Average Occupancy*Time Period)/Average Holding Time. To calculate Average Number of Call, you need Average Occupancy (A_avg), Time Period (T) & Average Holding Time (AHT). With our tool, you need to enter the respective value for Average Occupancy, Time Period & Average Holding Time 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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