Slack of Event i or j Calculator

✖LOT of Event j is the least allowable occurrence time of event j.ⓘ LOT of Event j [TL^j]			+10% -10%
✖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%

✖Slack of an Event in a network is the difference between the latest event time and the earliest event time at its terminal point or node.ⓘ Slack of Event i or j [S]

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Formula

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Slack of Event i or j

Formula

`"S" = "TL"^{"j"}-"TE"^{"j"}`

Example

`"6d"="30d"-"24d"`

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Download Project Evaluation and Review Technique Formulas PDF

Slack of Event i or j Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slack of an Event = LOT of Event j-Earliest Occurrence Time of j
S = TL^j-TE^j
This formula uses 3 Variables

Variables Used

Slack of an Event - (Measured in Day) - Slack of an Event in a network is the difference between the latest event time and the earliest event time at its terminal point or node.
LOT of Event j - (Measured in Day) - LOT of Event j is the least allowable occurrence time of event 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.

STEP 1: Convert Input(s) to Base Unit

LOT of Event j: 30 Day --> 30 Day No Conversion Required
Earliest Occurrence Time of j: 24 Day --> 24 Day No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = TL^j-TE^j --> 30-24

Evaluating ... ...

S = 6

STEP 3: Convert Result to Output's Unit

518400 Second -->6 Day (Check conversion here)

FINAL ANSWER

6 Day <-- Slack of an Event

(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

Slack of Event i or j Formula

Slack of an Event = LOT of Event j-Earliest Occurrence Time of j
S = TL^j-TE^j

What is Slack?

Slack of an event is the difference between LOT and EOT. It can be positive, negative or zero. If slack is greater than 0, it indicates that the project is ahead of schedule and availability of excess resources. If the slack is zero, then the events are critical. Negative slack represents a delay. The minimum or zero slack path is termed as critical path.

How to Calculate Slack of Event i or j?

Slack of Event i or j calculator uses Slack of an Event = LOT of Event j-Earliest Occurrence Time of j to calculate the Slack of an Event, The Slack of Event i or j formula is defined as the difference between least allowable time and earliest expected time of the event. It could be used for both events, say, i or j. Slack of an Event is denoted by S symbol.

How to calculate Slack of Event i or j using this online calculator? To use this online calculator for Slack of Event i or j, enter LOT of Event j (TL^j) & Earliest Occurrence Time of j (TE^j) and hit the calculate button. Here is how the Slack of Event i or j calculation can be explained with given input values -> 6.9E-5 = 2592000-2073600.

FAQ

What is Slack of Event i or j?

The Slack of Event i or j formula is defined as the difference between least allowable time and earliest expected time of the event. It could be used for both events, say, i or j and is represented as S = TL^j-TE^j or Slack of an Event = LOT of Event j-Earliest Occurrence Time of j. LOT of Event j is the least allowable occurrence time of event j & The Earliest Occurrence Time of j is the earliest expected occurrence of event j when we consider activity i-j.

How to calculate Slack of Event i or j?

The Slack of Event i or j formula is defined as the difference between least allowable time and earliest expected time of the event. It could be used for both events, say, i or j is calculated using Slack of an Event = LOT of Event j-Earliest Occurrence Time of j. To calculate Slack of Event i or j, you need LOT of Event j (TL^j) & Earliest Occurrence Time of j (TE^j). With our tool, you need to enter the respective value for LOT of Event j & Earliest Occurrence Time of 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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