Grade of Service Calculator

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Telecommunication Traffic System

Digital Switching System

✖Number of lost calls refers to the count or quantity of calls that are not successfully connected or completed due to various reasons such as network congestion, other limitations within the system.ⓘ Number of Lost Calls [N_L]			+10% -10%
✖Total number of offered calls refers to the total count of incoming calls or connection attempts that are presented to the switching system within a specific time period.ⓘ Total Number of Offered Calls [T_c]			+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]

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Formula

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Grade of Service

Formula

`"GoS" = "N"_{"L"}/"T"_{"c"}`

Example

`"0.270004"="6.985"/"25.87"`

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Grade of Service Solution

STEP 0: Pre-Calculation Summary

Formula Used

Grade of Service = Number of Lost Calls/Total Number of Offered Calls
GoS = N_L/T_c
This formula uses 3 Variables

Variables Used

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.
Number of Lost Calls - Number of lost calls refers to the count or quantity of calls that are not successfully connected or completed due to various reasons such as network congestion, other limitations within the system.
Total Number of Offered Calls - Total number of offered calls refers to the total count of incoming calls or connection attempts that are presented to the switching system within a specific time period.

STEP 1: Convert Input(s) to Base Unit

Number of Lost Calls: 6.985 --> No Conversion Required
Total Number of Offered Calls: 25.87 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

GoS = N_L/T_c --> 6.985/25.87

Evaluating ... ...

GoS = 0.270003865481252

STEP 3: Convert Result to Output's Unit

0.270003865481252 --> No Conversion Required

FINAL ANSWER

0.270003865481252 ≈ 0.270004 <-- Grade of Service

(Calculation completed in 00.004 seconds)

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Credits

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

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 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

Grade of Service Formula

Grade of Service = Number of Lost Calls/Total Number of Offered Calls
GoS = N_L/T_c

Where and when is Grade of Service measured?

The Grade of Service can be measured using different sections of a network. When a call is routed from one end to another, it will pass through several exchanges. If the Grade of Service is calculated based on the number of calls rejected by the final circuit group, then the Grade of Service is determined by the final circuit group blocking criteria. If the Grade of Service is calculated based on the number of rejected calls between exchanges, then the Grade of Service is determined by the exchange-to-exchange blocking criteria.

How to Calculate Grade of Service?

Grade of Service calculator uses Grade of Service = Number of Lost Calls/Total Number of Offered Calls to calculate the Grade of Service, The Grade of Service formula is defined as a measure of the ability of a mobile subscriber to access a cellular system during the busiest hour. It can also be defined as the probability of a call in a circuit group being blocked or delayed for more than a specified interval. Grade of Service is denoted by GoS symbol.

How to calculate Grade of Service using this online calculator? To use this online calculator for Grade of Service, enter Number of Lost Calls (N_L) & Total Number of Offered Calls (T_c) and hit the calculate button. Here is how the Grade of Service calculation can be explained with given input values -> 0.270004 = 6.985/25.87.

FAQ

What is Grade of Service?

The Grade of Service formula is defined as a measure of the ability of a mobile subscriber to access a cellular system during the busiest hour. It can also be defined as the probability of a call in a circuit group being blocked or delayed for more than a specified interval and is represented as GoS = N_L/T_c or Grade of Service = Number of Lost Calls/Total Number of Offered Calls. Number of lost calls refers to the count or quantity of calls that are not successfully connected or completed due to various reasons such as network congestion, other limitations within the system & Total number of offered calls refers to the total count of incoming calls or connection attempts that are presented to the switching system within a specific time period.

How to calculate Grade of Service?

The Grade of Service formula is defined as a measure of the ability of a mobile subscriber to access a cellular system during the busiest hour. It can also be defined as the probability of a call in a circuit group being blocked or delayed for more than a specified interval is calculated using Grade of Service = Number of Lost Calls/Total Number of Offered Calls. To calculate Grade of Service, you need Number of Lost Calls (N_L) & Total Number of Offered Calls (T_c). With our tool, you need to enter the respective value for Number of Lost Calls & Total Number of Offered 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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