Trunk Occupancy Calculator

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Telecommunication Traffic System

Digital Switching System

✖Occupancy refers to the utilization or occupancy level of resources within the switching system. It is a measure of how much capacity or resources are being utilized at a given time.ⓘ Occupancy [A_o]			+10% -10%
✖Grade of Service is often associated with call blocking. It indicates the probability that a user will experience a blocked call, where the system cannot allocate the necessary resources.ⓘ Grade of Service [GoS]			+10% -10%
✖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%

✖Trunk Occupancyrefers to the measure of utilization or occupancy level of trunks within the system. Trunks are communication channels or lines used for transmitting voice calls and data.ⓘ Trunk Occupancy [ρ]

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Formula

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Trunk Occupancy

Formula

`"ρ" = "A"_{"o"}*(1-"GoS")/"A"_{"avg"}`

Example

`"0.2482"="0.85"*(1-"0.27")/"2.5"`

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Download Telecommunication Traffic System Formulas PDF

Trunk Occupancy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Trunk Occupancy = Occupancy*(1-Grade of Service)/Average Occupancy
ρ = A_o*(1-GoS)/A_avg
This formula uses 4 Variables

Variables Used

Trunk Occupancy - Trunk Occupancyrefers to the measure of utilization or occupancy level of trunks within the system. Trunks are communication channels or lines used for transmitting voice calls and data.
Occupancy - Occupancy refers to the utilization or occupancy level of resources within the switching system. It is a measure of how much capacity or resources are being utilized at a given time.
Grade of Service - Grade of Service is often associated with call blocking. It indicates the probability that a user will experience a blocked call, where the system cannot allocate the necessary resources.
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.

STEP 1: Convert Input(s) to Base Unit

Occupancy: 0.85 --> No Conversion Required
Grade of Service: 0.27 --> No Conversion Required
Average Occupancy: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = A_o*(1-GoS)/A_avg --> 0.85*(1-0.27)/2.5

Evaluating ... ...

ρ = 0.2482

STEP 3: Convert Result to Output's Unit

0.2482 --> No Conversion Required

FINAL ANSWER

0.2482 <-- Trunk Occupancy

(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

Trunk Occupancy Formula

Trunk Occupancy = Occupancy*(1-Grade of Service)/Average Occupancy
ρ = A_o*(1-GoS)/A_avg

What is Trunk Occupancy?.

The trunk occupancy ρ is a measure of the degree of utilization of a group of lines and is
sometimes called the utilization factor.

How to Calculate Trunk Occupancy?

Trunk Occupancy calculator uses Trunk Occupancy = Occupancy*(1-Grade of Service)/Average Occupancy to calculate the Trunk Occupancy, The Trunk Occupancy formula is defined as the occupancy acquired by the network of a particular subscriber. Trunk Occupancy is denoted by ρ symbol.

How to calculate Trunk Occupancy using this online calculator? To use this online calculator for Trunk Occupancy, enter Occupancy (A_o), Grade of Service (GoS) & Average Occupancy (A_avg) and hit the calculate button. Here is how the Trunk Occupancy calculation can be explained with given input values -> 0.2482 = 0.85*(1-0.27)/2.5.

FAQ

What is Trunk Occupancy?

The Trunk Occupancy formula is defined as the occupancy acquired by the network of a particular subscriber and is represented as ρ = A_o*(1-GoS)/A_avg or Trunk Occupancy = Occupancy*(1-Grade of Service)/Average Occupancy. Occupancy refers to the utilization or occupancy level of resources within the switching system. It is a measure of how much capacity or resources are being utilized at a given time, Grade of Service is often associated with call blocking. It indicates the probability that a user will experience a blocked call, where the system cannot allocate the necessary resources & 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.

How to calculate Trunk Occupancy?

The Trunk Occupancy formula is defined as the occupancy acquired by the network of a particular subscriber is calculated using Trunk Occupancy = Occupancy*(1-Grade of Service)/Average Occupancy. To calculate Trunk Occupancy, you need Occupancy (A_o), Grade of Service (GoS) & Average Occupancy (A_avg). With our tool, you need to enter the respective value for Occupancy, Grade of Service & Average Occupancy 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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