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OPS.10:4.3 - Choose the smallest adequate service analysis

Receiving questionAppropriate first analysisWhat it can establish
Can these known jobs fit the actual windows?A finite schedule using arrival, readiness, service, calendar and precedence data, or a necessary time/resource bound.A feasible assignment; impossibility only when a necessary bound or complete valid search excludes the deadline.
What is a useful mean steady-state screen?A queueing approximation whose population, service, routing, stability and dependence assumptions fit.A qualified mean estimate, not a tail guarantee.
What happens under a specified disruption or burst?A trace replay or explicit stress schedule, with actual policy and resources.A conditional scenario result, not its probability of occurrence.
Does a changing or coupled operation meet a probabilistic service target?A stochastic model or simulation of the relevant inputs and policy, retaining parameter and model uncertainty.A conditional service probability; reliance on actual service additionally needs the corresponding input and model basis.

For a single continuously available compatible server operating first-come, first-served, a finite calculation can be very small. For each job in arrival order, start is the later of its arrival and the previous finish; finish is start plus service time; wait is start minus arrival. This assumes no other setup, interruption, precedence or resource requirement. Add those conditions to the schedule when they apply.

Do not use a steady-state approximation for a finite overload or changing regime merely because it yields a number. Correlated bursts, feedback, blocking, priorities and skill classes may require a different model. A specialist analysis is a named input with a receiving use, not a substitute for stating the operating question.