Average Holding Time 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 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 Calls [n]			+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]

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Formula

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Average Holding Time

Formula

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

Example

`"1.670007s"=("2.5"*"30s")/"44.91" `

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Average Holding Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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 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).

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 Number of Calls: 44.91 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AHT = (A_avg*T)/n --> (2.5*30)/44.91

Evaluating ... ...

AHT = 1.67000668002672

STEP 3: Convert Result to Output's Unit

1.67000668002672 Second --> No Conversion Required

FINAL ANSWER

1.67000668002672 ≈ 1.670007 Second <-- Average Holding Time

(Calculation completed in 00.004 seconds)

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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 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 Holding Time Formula

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

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 Holding Time?

Average Holding Time calculator uses Average Holding Time = (Average Occupancy*Time Period)/Average Number of Calls to calculate the Average Holding Time, Average Holding Time refers to the average duration that a call or communication session remains active within the system. It is a metric used to analyse and optimise the efficiency of call handling and resource allocation in telecommunication networks. Average Holding Time is denoted by AHT symbol.

How to calculate Average Holding Time using this online calculator? To use this online calculator for Average Holding Time, enter Average Occupancy (A_avg), Time Period (T) & Average Number of Calls (n) and hit the calculate button. Here is how the Average Holding Time calculation can be explained with given input values -> 1.670007 = (2.5*30)/44.91 .

FAQ

What is Average Holding Time?

Average Holding Time refers to the average duration that a call or communication session remains active within the system. It is a metric used to analyse and optimise the efficiency of call handling and resource allocation in telecommunication networks and is represented as AHT = (A_avg*T)/n or Average Holding Time = (Average Occupancy*Time Period)/Average Number of Calls. 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 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).

How to calculate Average Holding Time?

Average Holding Time refers to the average duration that a call or communication session remains active within the system. It is a metric used to analyse and optimise the efficiency of call handling and resource allocation in telecommunication networks is calculated using Average Holding Time = (Average Occupancy*Time Period)/Average Number of Calls. To calculate Average Holding Time, you need Average Occupancy (A_avg), Time Period (T) & Average Number of Calls (n). With our tool, you need to enter the respective value for Average Occupancy, Time Period & Average Number of Calls 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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