Least Allowable Occurrence Time of Event i Solution

STEP 0: Pre-Calculation Summary
Formula Used
LOT of Event i = LOT of Event j-Duration of i-j
TLi = TLj-tij
This formula uses 3 Variables
Variables Used
LOT of Event i - (Measured in Day) - LOT of Event i is the least allowable occurrence time of event i.
LOT of Event j - (Measured in Day) - LOT of Event j is the least allowable occurrence time of event 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
LOT of Event j: 30 Day --> 30 Day No Conversion Required
Duration of i-j: 5 Day --> 5 Day No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TLi = TLj-tij --> 30-5
Evaluating ... ...
TLi = 25
STEP 3: Convert Result to Output's Unit
2160000 Second -->25 Day (Check conversion here)
FINAL ANSWER
25 Day <-- LOT of Event i
(Calculation completed in 00.004 seconds)

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

Least Allowable Occurrence Time of Event i Formula

LOT of Event i = LOT of Event j-Duration of i-j
TLi = TLj-tij

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.

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 Least Allowable Occurrence Time of Event i?

Least Allowable Occurrence Time of Event i calculator uses LOT of Event i = LOT of Event j-Duration of i-j to calculate the LOT of Event i, The Least Allowable Occurrence Time of Event i formula is defined as the least allowable time at which an event must occur to keep the project on scheduled time. LOT of Event i is denoted by TLi symbol.

How to calculate Least Allowable Occurrence Time of Event i using this online calculator? To use this online calculator for Least Allowable Occurrence Time of Event i, enter LOT of Event j (TLj) & Duration of i-j (tij) and hit the calculate button. Here is how the Least Allowable Occurrence Time of Event i calculation can be explained with given input values -> 0.000289 = 2592000-432000.

FAQ

What is Least Allowable Occurrence Time of Event i?
The Least Allowable Occurrence Time of Event i formula is defined as the least allowable time at which an event must occur to keep the project on scheduled time and is represented as TLi = TLj-tij or LOT of Event i = LOT of Event j-Duration of i-j. LOT of Event j is the least allowable occurrence time of event j & Duration of i-j is the expected time of activity i-j.
How to calculate Least Allowable Occurrence Time of Event i?
The Least Allowable Occurrence Time of Event i formula is defined as the least allowable time at which an event must occur to keep the project on scheduled time is calculated using LOT of Event i = LOT of Event j-Duration of i-j. To calculate Least Allowable Occurrence Time of Event i, you need LOT of Event j (TLj) & Duration of i-j (tij). With our tool, you need to enter the respective value for LOT of Event 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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