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Critical path method
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=== Crash duration === "Crash duration" is a term referring to the shortest possible time for which an activity can be scheduled.<ref>{{cite book |title= Project Management for Construction |chapter = 11. Advanced Scheduling Techniques |first1 = Chris |last1= Hendrickson |author-link1= Chris T. Hendrickson |publisher= Prentice Hall |isbn = 978-0-13-731266-5 |year= 2008 |last2= Tung |first2= Au |url= http://pmbook.ce.cmu.edu/ |chapter-url = http://pmbook.ce.cmu.edu/11_Advanced_Scheduling_Techniques.html |access-date= October 27, 2011 |edition = 2.2 |archive-url=https://web.archive.org/web/20170324031153/http://pmbook.ce.cmu.edu/ |archive-date = March 24, 2017 |url-status = dead }}</ref> It can be achieved by shifting more resources towards the completion of that activity, resulting in decreased time spent and often a reduced quality of work, as the premium is set on speed.<ref>{{cite book | last = Brooks | first = F.P. | title = The Mythical Man-Month | url = https://archive.org/details/mythicalmanmonth00broo | url-access = registration | year = 1975 | publisher = Addison Wesley | location = Reading, MA | isbn = 978-0-201-00650-6 }}{{pn|date=July 2024}}</ref> Crash duration is typically modeled as a linear relationship between cost and activity duration, but in many cases, a [[convex function]] or a [[step function]] is more applicable.<ref>{{cite journal | last = Hendrickson | first = C. | author2 = B.N. Janson | title = A Common Network Flow Formulation for Several Civil Engineering Problems | journal = Civil Engineering Systems | year = 1984 | volume = 1 | series = 4 | issue = 4 | pages = 195β203 | doi = 10.1080/02630258408970343 | bibcode = 1984CEngS...1..195H }}</ref>
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