Expected Time of Activity i-j Solution

STEP 0: Pre-Calculation Summary
Formula Used
Duration of i-j = Earliest Occurrence Time of j-Earliest Occurrence Time of i
tij = TEj-TEi
This formula uses 3 Variables
Variables Used
Duration of i-j - (Measured in Day) - Duration of i-j is the expected time of 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.
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.
STEP 1: Convert Input(s) to Base Unit
Earliest Occurrence Time of j: 24 Day --> 24 Day No Conversion Required
Earliest Occurrence Time of i: 19 Day --> 19 Day No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tij = TEj-TEi --> 24-19
Evaluating ... ...
tij = 5
STEP 3: Convert Result to Output's Unit
432000 Second -->5 Day (Check conversion here)
FINAL ANSWER
5 Day <-- Duration of i-j
(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
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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

Expected Time of Activity i-j Formula

Duration of i-j = Earliest Occurrence Time of j-Earliest Occurrence Time of i
tij = TEj-TEi

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?

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.

How to Calculate Expected Time of Activity i-j?

Expected Time of Activity i-j calculator uses Duration of i-j = Earliest Occurrence Time of j-Earliest Occurrence Time of i to calculate the Duration of i-j, The Expected Time of Activity i-j formula is defined as the duration of completion of the activity i-j. An event is told to occur when all the activities leading to it are completed. Duration of i-j is denoted by tij symbol.

How to calculate Expected Time of Activity i-j using this online calculator? To use this online calculator for Expected Time of Activity i-j, enter Earliest Occurrence Time of j (TEj) & Earliest Occurrence Time of i (TEi) and hit the calculate button. Here is how the Expected Time of Activity i-j calculation can be explained with given input values -> 5.8E-5 = 2073600-1641600.

FAQ

What is Expected Time of Activity i-j?
The Expected Time of Activity i-j formula is defined as the duration of completion of the activity i-j. An event is told to occur when all the activities leading to it are completed and is represented as tij = TEj-TEi or Duration of i-j = Earliest Occurrence Time of j-Earliest Occurrence Time of i. The Earliest Occurrence Time of j is the earliest expected occurrence of event j when we consider activity i-j & The Earliest Occurrence Time of i is the earliest expected occurrence of time of event i, when we consider an activity i-j.
How to calculate Expected Time of Activity i-j?
The Expected Time of Activity i-j formula is defined as the duration of completion of the activity i-j. An event is told to occur when all the activities leading to it are completed is calculated using Duration of i-j = Earliest Occurrence Time of j-Earliest Occurrence Time of i. To calculate Expected Time of Activity i-j, you need Earliest Occurrence Time of j (TEj) & Earliest Occurrence Time of i (TEi). With our tool, you need to enter the respective value for Earliest Occurrence Time of j & Earliest Occurrence Time of i 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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