Library / Operations Management Principles Framework
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Source changed 2026-10-03 02:22:15 UTC · snapshot created 2026-10-03 03:38:22 UTC · last check 2026-10-03 03:55:20 UTC

OPS.10:5.2 - Equal total load, different waiting

One continuously available server processes four one-hour jobs. There is no setup, failure, other resource or initial backlog.

ScenarioArrival times in hoursStart timesWaiting times
one burst0, 0, 0, 00, 1, 2, 30, 1, 2, 3
one job per hour0, 1, 2, 30, 1, 2, 30, 0, 0, 0

Both consume four server-hours and finish the last job at hour 4. If the criterion is completion within two hours of arrival, two of four jobs meet it in the burst scenario and all four in the second. The difference follows from the stated arrival scenarios, not from shifting the measurement origin or claiming a forward probability.

This result tells the practitioner why total hours alone cannot settle service. It does not authorize delaying already arrived demand and then starting its clock later.