Downtime Calculator

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Telecommunication Traffic System

Digital Switching System

✖Uptime refers to the period of time during which the system or its components are operational and available to provide services without any interruptions or outages.ⓘ Uptime [u]			+10% -10%
✖Availability refers to the ability of the system to remain operational and accessible to users over a given period of time.ⓘ Availability [A]			+10% -10%

✖Downtime refers to the period during which the system or specific services provided by the system are unavailable or non-operational.ⓘ Downtime [d]

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Formula

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Downtime

Formula

`"d" = ("u"-"A"*"u")/"A"`

Example

`"6.848571s"=("15.98s"-"0.70"*"15.98s")/"0.70"`

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Download Telecommunication Traffic System Formulas PDF

Downtime Solution

STEP 0: Pre-Calculation Summary

Formula Used

Downtime = (Uptime-Availability*Uptime)/Availability
d = (u-A*u)/A
This formula uses 3 Variables

Variables Used

Downtime - (Measured in Second) - Downtime refers to the period during which the system or specific services provided by the system are unavailable or non-operational.
Uptime - (Measured in Second) - Uptime refers to the period of time during which the system or its components are operational and available to provide services without any interruptions or outages.
Availability - Availability refers to the ability of the system to remain operational and accessible to users over a given period of time.

STEP 1: Convert Input(s) to Base Unit

Uptime: 15.98 Second --> 15.98 Second No Conversion Required
Availability: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (u-A*u)/A --> (15.98-0.7*15.98)/0.7

Evaluating ... ...

d = 6.84857142857143

STEP 3: Convert Result to Output's Unit

6.84857142857143 Second --> No Conversion Required

FINAL ANSWER

6.84857142857143 ≈ 6.848571 Second <-- Downtime

(Calculation completed in 00.006 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 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

Downtime Formula

Downtime = (Uptime-Availability*Uptime)/Availability
d = (u-A*u)/A

What is High Availability?

In telephone switching networks, availability or full accessibility is possible if all of the lines are equally accessible to all incoming calls. It can also be defined as a characteristic of a system which aims to ensure an agreed level of operational performance, usually uptime, for a higher than normal period.

How to Calculate Downtime?

Downtime calculator uses Downtime = (Uptime-Availability*Uptime)/Availability to calculate the Downtime, Downtime refers to the period during which the system or specific services provided by the system are unavailable or non-operational. It represents the time when users are unable to access or utilize the telecommunication services due to a system failure, maintenance activity, or other factors that disrupt the normal operation of the switching system. Downtime is denoted by d symbol.

How to calculate Downtime using this online calculator? To use this online calculator for Downtime, enter Uptime (u) & Availability (A) and hit the calculate button. Here is how the Downtime calculation can be explained with given input values -> 6.848571 = (15.98-0.7*15.98)/0.7.

FAQ

What is Downtime?

Downtime refers to the period during which the system or specific services provided by the system are unavailable or non-operational. It represents the time when users are unable to access or utilize the telecommunication services due to a system failure, maintenance activity, or other factors that disrupt the normal operation of the switching system and is represented as d = (u-A*u)/A or Downtime = (Uptime-Availability*Uptime)/Availability. Uptime refers to the period of time during which the system or its components are operational and available to provide services without any interruptions or outages & Availability refers to the ability of the system to remain operational and accessible to users over a given period of time.

How to calculate Downtime?

Downtime refers to the period during which the system or specific services provided by the system are unavailable or non-operational. It represents the time when users are unable to access or utilize the telecommunication services due to a system failure, maintenance activity, or other factors that disrupt the normal operation of the switching system is calculated using Downtime = (Uptime-Availability*Uptime)/Availability. To calculate Downtime, you need Uptime (u) & Availability (A). With our tool, you need to enter the respective value for Uptime & Availability 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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