Earliest Expected Occurrence Time of Event i Calculator

✖The Earliest Occurrence Time of j is the earliest expected occurrence of event j when we consider activity i-j.ⓘ Earliest Occurrence Time of j [TE^j]			+10% -10%
✖Duration of i-j is the expected time of activity i-j.ⓘ Duration of i-j [t_ij]			+10% -10%

✖The Earliest Occurrence Time of i is the earliest expected occurrence of time of event i, when we consider an activity i-j.ⓘ Earliest Expected Occurrence Time of Event i [TEⁱ]

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Earliest Expected Occurrence Time of Event i

Formula

`"TE"^{"i"} = "TE"^{"j"}-"t"_{"ij"}`

Example

`"19d"="24d"-"5d"`

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Download Project Evaluation and Review Technique Formulas PDF

Earliest Expected Occurrence Time of Event i Solution

STEP 0: Pre-Calculation Summary

Formula Used

Earliest Occurrence Time of i = Earliest Occurrence Time of j-Duration of i-j
TEⁱ = TE^j-t_ij
This formula uses 3 Variables

Variables Used

Earliest Occurrence Time of i - (Measured in Day) - The Earliest Occurrence Time of i is the earliest expected occurrence of time of event i, when we consider an activity i-j.
Earliest Occurrence Time of j - (Measured in Day) - The Earliest Occurrence Time of j is the earliest expected occurrence of event j when we consider activity i-j.
Duration of i-j - (Measured in Day) - Duration of i-j is the expected time of activity i-j.

STEP 1: Convert Input(s) to Base Unit

Earliest Occurrence Time of j: 24 Day --> 24 Day No Conversion Required
Duration of i-j: 5 Day --> 5 Day No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TEⁱ = TE^j-t_ij --> 24-5

Evaluating ... ...

TEⁱ = 19

STEP 3: Convert Result to Output's Unit

1641600 Second -->19 Day (Check conversion here)

FINAL ANSWER

19 Day <-- Earliest Occurrence Time of i

(Calculation completed in 00.004 seconds)

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Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 17 Project Evaluation and Review Technique Calculators

Optimistic Time given Expected Time

Go Optimistic Time = (6*Mean Time)-(4*Most Likely Time)-Pessimistic Time

Mean or Expected Time

Go Mean Time = (Optimistic Time+(4*Most Likely Time)+Pessimistic Time)/6

Most Likely Time given Expected Time

Go Most Likely Time = (6*Mean Time-Optimistic Time-Pessimistic Time)/4

Standard Deviation given Probability Factor

Go Standard Deviation = (Scheduled Time-Mean Time)/Probability Factor

Scheduled Time given Probability Factor

Go Scheduled Time = (Standard Deviation*Probability Factor)+Mean Time

Expected Time given Probability Factor

Go Mean Time = Scheduled Time-(Standard Deviation*Probability Factor)

Probability Factor

Go Probability Factor = (Scheduled Time-Mean Time)/Standard Deviation

Pessimistic Time given Expected Time

Go Pessimistic Time = 6*Mean Time-Optimistic Time-4*Most Likely Time

Earliest Expected Occurrence Time of Event j

Go Earliest Occurrence Time of j = Earliest Occurrence Time of i+Duration of i-j

Earliest Expected Occurrence Time of Event i

Go Earliest Occurrence Time of i = Earliest Occurrence Time of j-Duration of i-j

Expected Time of Activity i-j

Go Duration of i-j = Earliest Occurrence Time of j-Earliest Occurrence Time of i

Slack of Event i or j

Go Slack of an Event = LOT of Event j-Earliest Occurrence Time of j

Optimistic Time given Standard Deviation

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

Standard Deviation of Activity

Go Standard Deviation = (Pessimistic Time-Optimistic Time)/6

Pessimistic Time given Standard Deviation

Go Pessimistic Time = 6*Standard Deviation+Optimistic Time

Least Allowable Occurrence Time of Event i

Go LOT of Event i = LOT of Event j-Duration of i-j

Least Allowable Occurrence Time of Event j

Go LOT of Event j = LOT of Event i+Duration of i-j

Earliest Expected Occurrence Time of Event i Formula

Earliest Occurrence Time of i = Earliest Occurrence Time of j-Duration of i-j
TEⁱ = TE^j-t_ij

What is Central Limit Theorem?

Central Limit Theorem states that if a project consist of large number of activities, where each activity has its own mean time, standard deviation and variance then the whole distribution of time for the project will be approximately a normal distribution.

What is an Event and an Activity?

An event represents the accomplishment of some task. In a network diagram, beginning and ending of an activity are represented as events. Each event is represented as a node in a network diagram. An event does not consume any time or resource. Each network diagram starts with an initial event and ends at a terminal event.
An activity is a physically identifiable part of a project, which consumes both time and resources. Activity is represented by an arrow in a network diagram. The head of an arrow represents the start of activity and the tail of arrow represents its end. Activity description and its estimated completion time are written along the arrow.

How to Calculate Earliest Expected Occurrence Time of Event i?

Earliest Expected Occurrence Time of Event i calculator uses Earliest Occurrence Time of i = Earliest Occurrence Time of j-Duration of i-j to calculate the Earliest Occurrence Time of i, The Earliest Expected Occurrence Time of Event i formula is defined as the time required for the event i to occur at the earliest. An event occurs when all the activities leading to that event are completed. Earliest Occurrence Time of i is denoted by TEⁱ symbol.

How to calculate Earliest Expected Occurrence Time of Event i using this online calculator? To use this online calculator for Earliest Expected Occurrence Time of Event i, enter Earliest Occurrence Time of j (TE^j) & Duration of i-j (t_ij) and hit the calculate button. Here is how the Earliest Expected Occurrence Time of Event i calculation can be explained with given input values -> 0.00022 = 2073600-432000.

FAQ

What is Earliest Expected Occurrence Time of Event i?

The Earliest Expected Occurrence Time of Event i formula is defined as the time required for the event i to occur at the earliest. An event occurs when all the activities leading to that event are completed and is represented as TEⁱ = TE^j-t_ij or Earliest Occurrence Time of i = Earliest Occurrence Time of j-Duration of i-j. The Earliest Occurrence Time of j is the earliest expected occurrence of event j when we consider activity i-j & Duration of i-j is the expected time of activity i-j.

How to calculate Earliest Expected Occurrence Time of Event i?

The Earliest Expected Occurrence Time of Event i formula is defined as the time required for the event i to occur at the earliest. An event occurs when all the activities leading to that event are completed is calculated using Earliest Occurrence Time of i = Earliest Occurrence Time of j-Duration of i-j. To calculate Earliest Expected Occurrence Time of Event i, you need Earliest Occurrence Time of j (TE^j) & Duration of i-j (t_ij). With our tool, you need to enter the respective value for Earliest Occurrence Time of j & Duration of i-j 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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