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Optimistic Time given Expected Time Formula

GoOptimistic Time given Standard Deviation Formula

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Optimistic Time is the shortest possible time to complete the activity if all goes well. Check FAQs

t 0 = (6 \cdot t e) - (4 \cdot t m) - t p

t₀ - Optimistic Time?t_e - Mean Time?t_m - Most Likely Time?t_p - Pessimistic Time?

Optimistic Time given Expected Time Example

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With units

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Here is how the Optimistic Time given Expected Time equation looks like with Values.

Here is how the Optimistic Time given Expected Time equation looks like with Units.

Here is how the Optimistic Time given Expected Time equation looks like.

2 = (6 \cdot 4) - (4 \cdot 3) - 10

2d = (6 \cdot 4d) - (4 \cdot 3d) - 10d

2 = (6 \cdot 4) - (4 \cdot 3) - 10

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Optimistic Time given Expected Time Solution

Follow our step by step solution on how to calculate Optimistic Time given Expected Time?

FIRST Step Consider the formula

t 0 = (6 \cdot t e) - (4 \cdot t m) - t p

Next Step Substitute values of Variables

∴

t 0 = (6 \cdot 4d) - (4 \cdot 3d) - 10d

Next Step Prepare to Evaluate

∴

t 0 = (6 \cdot 4) - (4 \cdot 3) - 10

Next Step Evaluate

∴

t 0 = 172800s

LAST Step Convert to Output's Unit

∴

t 0 = 2d

Optimistic Time given Expected Time Formula Elements

Variables

Optimistic Time

Optimistic Time is the shortest possible time to complete the activity if all goes well.

Symbol: t₀

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Optimistic Time

Mean Time

Mean Time, also called expected time is the time needed to complete an activity.

Symbol: t_e

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Mean Time

Most Likely Time

Most Likely Time is the normal time activity would take.

Symbol: t_m

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Most Likely Time

Pessimistic Time

A Pessimistic Time is the longest time that an activity could take if everything is wrong.

Symbol: t_p

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Pessimistic Time

Other Formulas to find Optimistic Time

Go Optimistic Time given Standard Deviation

t 0 = - (6 \cdot σ - t p)

Other formulas in Project Evaluation and Review Technique category

Go Mean or Expected Time

t e = \frac{t 0 + (4 \cdot t m) + t p}{6}

Go Pessimistic Time given Expected Time

t p = 6 \cdot t e - t 0 - 4 \cdot t m

Go Most Likely Time given Expected Time

t m = \frac{6 \cdot t e - t 0 - t p}{4}

Go Standard Deviation of Activity

σ = \frac{t p - t 0}{6}

How to Evaluate Optimistic Time given Expected Time?

Optimistic Time given Expected Time evaluator uses Optimistic Time = (6*Mean Time)-(4*Most Likely Time)-Pessimistic Time to evaluate 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 evaluate Optimistic Time given Expected Time using this online evaluator? To use this online evaluator for Optimistic Time given Expected Time, enter Mean Time (t_e), Most Likely Time (t_m) & Pessimistic Time (t_p) and hit the calculate button.

FAQs on Optimistic Time given Expected Time

What is the formula to find Optimistic Time given Expected Time?

The formula of Optimistic Time given Expected Time is expressed as Optimistic Time = (6*Mean Time)-(4*Most Likely Time)-Pessimistic Time. Here is an example- 2.3E-5 = (6*345600)-(4*259200)-864000.

How to calculate Optimistic Time given Expected Time?

With Mean Time (t_e), Most Likely Time (t_m) & Pessimistic Time (t_p) we can find Optimistic Time given Expected Time using the formula - Optimistic Time = (6*Mean Time)-(4*Most Likely Time)-Pessimistic Time.

What are the other ways to Calculate Optimistic Time?

Here are the different ways to Calculate Optimistic Time-

Optimistic Time=-(6*Standard Deviation-Pessimistic Time)

Can the Optimistic Time given Expected Time be negative?

No, the Optimistic Time given Expected Time, measured in Time cannot be negative.

Which unit is used to measure Optimistic Time given Expected Time?

Optimistic Time given Expected Time is usually measured using the Day[d] for Time. Second[d], Millisecond[d], Microsecond[d] are the few other units in which Optimistic Time given Expected Time can be measured.

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Optimistic Time given Expected Time Formula

​GoOptimistic Time given Standard Deviation Formula

Optimistic Time given Expected Time Example

Optimistic Time given Expected Time Solution

Optimistic Time given Expected Time Formula Elements

Other Formulas to find Optimistic Time

Other formulas in Project Evaluation and Review Technique category

How to Evaluate Optimistic Time given Expected Time?

FAQs on Optimistic Time given Expected Time

Variable Name

GoOptimistic Time given Standard Deviation Formula