Pessimistic Time given Expected Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pessimistic Time = 6*Mean Time-Optimistic Time-4*Most Likely Time
tp = 6*te-t0-4*tm
This formula uses 4 Variables
Variables Used
Pessimistic Time - (Measured in Day) - A Pessimistic Time is the longest time that an activity could take if everything is wrong.
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.
Most Likely Time - (Measured in Day) - Most Likely Time is the normal time activity would take.
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
Most Likely Time: 3 Day --> 3 Day No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tp = 6*te-t0-4*tm --> 6*4-2-4*3
Evaluating ... ...
tp = 10
STEP 3: Convert Result to Output's Unit
864000 Second -->10 Day (Check conversion here)
FINAL ANSWER
10 Day <-- Pessimistic Time
(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

Pessimistic Time given Expected Time Formula

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

What is Programme Evaluation and Review Technique (PERT)?

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.

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 Pessimistic Time given Expected Time?

Pessimistic Time given Expected Time calculator uses Pessimistic Time = 6*Mean Time-Optimistic Time-4*Most Likely Time to calculate the Pessimistic Time, The Pessimistic Time given Expected Time formula is defined as the maximum time required to complete the activity under the worst conditions. Pessimistic Time is denoted by tp symbol.

How to calculate Pessimistic Time given Expected Time using this online calculator? To use this online calculator for Pessimistic Time given Expected Time, enter Mean Time (te), Optimistic Time (t0) & Most Likely Time (tm) and hit the calculate button. Here is how the Pessimistic Time given Expected Time calculation can be explained with given input values -> 0.000116 = 6*345600-172800-4*259200.

FAQ

What is Pessimistic Time given Expected Time?
The Pessimistic Time given Expected Time formula is defined as the maximum time required to complete the activity under the worst conditions and is represented as tp = 6*te-t0-4*tm or Pessimistic Time = 6*Mean Time-Optimistic Time-4*Most Likely Time. 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 & Most Likely Time is the normal time activity would take.
How to calculate Pessimistic Time given Expected Time?
The Pessimistic Time given Expected Time formula is defined as the maximum time required to complete the activity under the worst conditions is calculated using Pessimistic Time = 6*Mean Time-Optimistic Time-4*Most Likely Time. To calculate Pessimistic Time given Expected Time, you need Mean Time (te), Optimistic Time (t0) & Most Likely Time (tm). With our tool, you need to enter the respective value for Mean Time, Optimistic Time & Most Likely Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Pessimistic Time?
In this formula, Pessimistic Time uses Mean Time, Optimistic Time & Most Likely Time. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Pessimistic Time = 6*Standard Deviation+Optimistic Time
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