Most Likely Time given Expected Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Most Likely Time = (6*Mean Time-Optimistic Time-Pessimistic Time)/4
tm = (6*te-t0-tp)/4
This formula uses 4 Variables
Variables Used
Most Likely Time - (Measured in Day) - Most Likely Time is the normal time activity would take.
Mean Time - (Measured in Day) - Mean Time, also called expected time is the time needed to complete an activity.
Optimistic Time - (Measured in Day) - Optimistic Time is the shortest possible time to complete the activity if all goes well.
Pessimistic Time - (Measured in Day) - A Pessimistic Time is the longest time that an activity could take if everything is wrong.
STEP 1: Convert Input(s) to Base Unit
Mean Time: 4 Day --> 4 Day No Conversion Required
Optimistic Time: 2 Day --> 2 Day No Conversion Required
Pessimistic Time: 10 Day --> 10 Day No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tm = (6*te-t0-tp)/4 --> (6*4-2-10)/4
Evaluating ... ...
tm = 3
STEP 3: Convert Result to Output's Unit
259200 Second -->3 Day (Check conversion here)
FINAL ANSWER
3 Day <-- Most Likely Time
(Calculation completed in 00.020 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

Most Likely Time given Expected Time Formula

Most Likely Time = (6*Mean Time-Optimistic Time-Pessimistic Time)/4
tm = (6*te-t0-tp)/4

What is PERT ?

Program Evaluation and Review Technique (PERT) is a method used to examine the tasks that are in a schedule and determine a variation of the Critical Path Method (CPM). It analyzes the time required to complete each task and its associated dependencies to determine the minimum time to complete a project. It estimates the shortest possible time each activity will take, the most likely length of time, and the longest time that might be taken if the activity takes longer than expected.

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 Most Likely Time given Expected Time?

Most Likely Time given Expected Time calculator uses Most Likely Time = (6*Mean Time-Optimistic Time-Pessimistic Time)/4 to calculate the Most Likely Time, The Most Likely Time given Expected Time formula is defined as the time required to complete an activity under normal working conditions. Most Likely Time is denoted by tm symbol.

How to calculate Most Likely Time given Expected Time using this online calculator? To use this online calculator for Most Likely Time given Expected Time, enter Mean Time (te), Optimistic Time (t0) & Pessimistic Time (tp) and hit the calculate button. Here is how the Most Likely Time given Expected Time calculation can be explained with given input values -> 3.5E-5 = (6*345600-172800-864000)/4.

FAQ

What is Most Likely Time given Expected Time?
The Most Likely Time given Expected Time formula is defined as the time required to complete an activity under normal working conditions and is represented as tm = (6*te-t0-tp)/4 or Most Likely Time = (6*Mean Time-Optimistic Time-Pessimistic Time)/4. Mean Time, also called expected time is the time needed to complete an activity, Optimistic Time is the shortest possible time to complete the activity if all goes well & A Pessimistic Time is the longest time that an activity could take if everything is wrong.
How to calculate Most Likely Time given Expected Time?
The Most Likely Time given Expected Time formula is defined as the time required to complete an activity under normal working conditions is calculated using Most Likely Time = (6*Mean Time-Optimistic Time-Pessimistic Time)/4. To calculate Most Likely Time given Expected Time, you need Mean Time (te), Optimistic Time (t0) & Pessimistic Time (tp). With our tool, you need to enter the respective value for Mean Time, Optimistic Time & Pessimistic Time 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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