Optimistic Time given Standard Deviation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Optimistic Time = -(6*Standard Deviation-Pessimistic Time)
t0 = -(6*σ-tp)
This formula uses 3 Variables
Variables Used
Optimistic Time - (Measured in Day) - Optimistic Time is the shortest possible time to complete the activity if all goes well.
Standard Deviation - The Standard Deviation is a measure of how spread out numbers are.
Pessimistic Time - (Measured in Day) - A Pessimistic Time is the longest time that an activity could take if everything is wrong.
STEP 1: Convert Input(s) to Base Unit
Standard Deviation: 1.33 --> No Conversion Required
Pessimistic Time: 10 Day --> 10 Day No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t0 = -(6*σ-tp) --> -(6*1.33-10)
Evaluating ... ...
t0 = 2.02
STEP 3: Convert Result to Output's Unit
174528 Second -->2.02 Day (Check conversion ​here)
FINAL ANSWER
2.02 Day <-- Optimistic Time
(Calculation completed in 00.004 seconds)

Credits

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Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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Verified by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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Project Evaluation and Review Technique Calculators

Optimistic Time given Expected Time
​ LaTeX ​ Go Optimistic Time = (6*Mean Time)-(4*Most Likely Time)-Pessimistic Time
Mean or Expected Time
​ LaTeX ​ Go Mean Time = (Optimistic Time+(4*Most Likely Time)+Pessimistic Time)/6
Most Likely Time given Expected Time
​ LaTeX ​ Go Most Likely Time = (6*Mean Time-Optimistic Time-Pessimistic Time)/4
Pessimistic Time given Expected Time
​ LaTeX ​ Go Pessimistic Time = 6*Mean Time-Optimistic Time-4*Most Likely Time

Optimistic Time given Standard Deviation Formula

​LaTeX ​Go
Optimistic Time = -(6*Standard Deviation-Pessimistic Time)
t0 = -(6*σ-tp)

What is Programme Evaluation and Review Technique (PERT)?

It is a numerical technique used in projects in which time cannot be estimated accurately such as research and development projects. It is an event-oriented network. Cost is assumed to be directly proportional to time.
Three time estimates are made in PERT.
1. Optimistic time (to): This is the minimum possible time in which an activity can be completed under the most ideal conditions.
2. Pessimistic time (tp): This is the maximum time required to complete an activity under the worst possible conditions.
3. Most likely time (tm): This is the time required to complete an activity under normal working conditions. It's value lies between to and tp It is near to the expected time.

What is Central Limit Theorem and Critical Path?

Central Limit Theorem: The theorem states that a project consists of a large number of activities, where each activity has its own mean time (te), standard deviation (σ), variance (σ2) and also its own ß-distribution curve.
Critical Path: The time-wise longest path is the critical path. In this path, any type of delay in any event will cause a delay in the project. These are shown by double lines or dark lines in a network

How to Calculate Optimistic Time given Standard Deviation?

Optimistic Time given Standard Deviation calculator uses Optimistic Time = -(6*Standard Deviation-Pessimistic Time) to calculate the Optimistic Time, The Optimistic Time given Standard Deviation formula is defined as it gives the minimum possible time to finish the project under most ideal conditions. Optimistic Time is denoted by t0 symbol.

How to calculate Optimistic Time given Standard Deviation using this online calculator? To use this online calculator for Optimistic Time given Standard Deviation, enter Standard Deviation (σ) & Pessimistic Time (tp) and hit the calculate button. Here is how the Optimistic Time given Standard Deviation calculation can be explained with given input values -> 2.3E-5 = -(6*1.33-864000).

FAQ

What is Optimistic Time given Standard Deviation?
The Optimistic Time given Standard Deviation formula is defined as it gives the minimum possible time to finish the project under most ideal conditions and is represented as t0 = -(6*σ-tp) or Optimistic Time = -(6*Standard Deviation-Pessimistic Time). The Standard Deviation is a measure of how spread out numbers are & A Pessimistic Time is the longest time that an activity could take if everything is wrong.
How to calculate Optimistic Time given Standard Deviation?
The Optimistic Time given Standard Deviation formula is defined as it gives the minimum possible time to finish the project under most ideal conditions is calculated using Optimistic Time = -(6*Standard Deviation-Pessimistic Time). To calculate Optimistic Time given Standard Deviation, you need Standard Deviation (σ) & Pessimistic Time (tp). With our tool, you need to enter the respective value for Standard Deviation & Pessimistic Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Optimistic Time?
In this formula, Optimistic Time uses Standard Deviation & Pessimistic Time. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Optimistic Time = (6*Mean Time)-(4*Most Likely Time)-Pessimistic Time
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