Optimistic Time given Expected Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Optimistic Time = (6*Mean Time)-(4*Most Likely Time)-Pessimistic Time
t0 = (6*te)-(4*tm)-tp
This formula uses 4 Variables
Variables Used
Optimistic Time - (Measured in Day) - Optimistic Time is the shortest possible time to complete the activity if all goes well.
Mean Time - (Measured in Day) - Mean Time, also called expected time is the time needed to complete an activity.
Most Likely Time - (Measured in Day) - Most Likely Time is the normal time activity would take.
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
Mean Time: 4 Day --> 4 Day No Conversion Required
Most Likely Time: 3 Day --> 3 Day No Conversion Required
Pessimistic Time: 10 Day --> 10 Day No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t0 = (6*te)-(4*tm)-tp --> (6*4)-(4*3)-10
Evaluating ... ...
t0 = 2
STEP 3: Convert Result to Output's Unit
172800 Second -->2 Day (Check conversion ​here)
FINAL ANSWER
2 Day <-- Optimistic Time
(Calculation completed in 00.007 seconds)

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Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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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 Expected Time Formula

​LaTeX ​Go
Optimistic Time = (6*Mean Time)-(4*Most Likely Time)-Pessimistic Time
t0 = (6*te)-(4*tm)-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 Expected Time?

Optimistic Time given Expected Time calculator uses Optimistic Time = (6*Mean Time)-(4*Most Likely Time)-Pessimistic Time to calculate the Optimistic Time, The Optimistic Time given Expected Time formula is defined as the minimum possible time in which activity can be completed under ideal conditions. Optimistic Time is denoted by t0 symbol.

How to calculate Optimistic Time given Expected Time using this online calculator? To use this online calculator for Optimistic Time given Expected Time, enter Mean Time (te), Most Likely Time (tm) & Pessimistic Time (tp) and hit the calculate button. Here is how the Optimistic Time given Expected Time calculation can be explained with given input values -> 2.3E-5 = (6*345600)-(4*259200)-864000.

FAQ

What is Optimistic Time given Expected Time?
The Optimistic Time given Expected Time formula is defined as the minimum possible time in which activity can be completed under ideal conditions and is represented as t0 = (6*te)-(4*tm)-tp or Optimistic Time = (6*Mean Time)-(4*Most Likely Time)-Pessimistic Time. Mean Time, also called expected time is the time needed to complete an activity, Most Likely Time is the normal time activity would take & A Pessimistic Time is the longest time that an activity could take if everything is wrong.
How to calculate Optimistic Time given Expected Time?
The Optimistic Time given Expected Time formula is defined as the minimum possible time in which activity can be completed under ideal conditions is calculated using Optimistic Time = (6*Mean Time)-(4*Most Likely Time)-Pessimistic Time. To calculate Optimistic Time given Expected Time, you need Mean Time (te), Most Likely Time (tm) & Pessimistic Time (tp). With our tool, you need to enter the respective value for Mean Time, Most Likely Time & 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 Mean Time, Most Likely Time & Pessimistic Time. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Optimistic Time = -(6*Standard Deviation-Pessimistic Time)
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