Construction & Real Estate
2 optimization problems
Which Chain of Activities Drives the Project End Date, and Which Activity Can Slip Without Hurting It?
This page is for you if you run a mid-size construction, industrial-plant or enterprise software/IT project of 50-300 activities. The everyday questions: which tasks run sequentially, which can run in parallel; which chain is 'critical' — i.e. a one-day slip on it slips the whole project by one day; which tasks have slack; if your duration estimates are uncertain, what is the chance of hitting the target date. Public-works and large-investment contracts typically charge 0.5-1.0% of contract value per day of delay; managing those numbers with a proper critical-path and slack analysis instead of a gut-feel Gantt chart is worth 5-25 million TRY a year in operating profit for a typical mid-size contractor. Inside: the method family in plain terms, a step-by-step path for an SMB, and the technical questions to ask when buying a project-management tool.
Which Task on Which Day, with Which Crew?
On a $1–7M construction project (residential block, light commercial building, small industrial facility), or in a contractor running 3–10 projects in parallel, the problem of sequencing 100–500 tasks per project (formwork, rebar, concrete, MEP, finishing), assigning crews and machines, and tracking durations. The decision: which task starts which day, with which crew, with which machine, so precedence constraints hold (no slab formwork before the columns are poured), resource constraints hold (one crane on site, no two crews on the same floor), holidays and weather are respected, and the contractual delivery date is met. Manual planning works up to 30–50 tasks; above that, the daily 'who's where' tracking eats the manager's hours and slippage becomes inevitable.