OPS.15.1:11 - SoTA-Echoing

When a decision needs comparable quantities from shared events or a cut observation window, derive the interval contributions before averaging. Adopt the sample-path area construction from Sigman’s notes on Little’s Law and adapt the shared-event representation of OCEL 2.0, §§2–4. This is preferable to a completed-only average when a window cuts through visits: :5.1 obtains 7/8 for mean population where the departure shortcut gives one. Sections :4.3–4.4 retain partial exposure and all relevant exits. Sigman’s area argument supports that finite calculation; estimating an unseen tail or a long-run regime requires additional premises.

A second serious default is to copy a shared processing interval into each case’s row and sum those durations as machine time. In :5.2 this would turn thirty machine-minutes into ninety. Keeping the common cycle identifiable while following its three parts preserves both the machine occupation and part residence. OCEL supplies qualified event-to-object and object-to-object relations and changing attributes. Its instantaneous records still require the interval interpretation in :4.2–4.3; the standard does not establish how much work occurred or whether a policy improved service.

The added effort is to recover a shared relationship or an interval boundary when the receiving quantity depends on it. A simple case table remains sufficient when events belong to one case and the table retains the boundaries needed for the calculation. A few shared-event references can handle a small batch; full OCEL serialization is unnecessary. Sections :4.2–4.5 retain only the relationships, window contributions and weighting needed by the question. This avoids both a misleading flattened total and a log-format project that leaves the measurement question unanswered.

Hopp and Spearman, Factory Physics, supplies the operating uses of flow, cycle-time and capacity quantities. This pattern reconstructs their populations and boundaries before applying those relations; a compatible average alone does not establish a cause. Reopen the construction when an event changes meaning, a recording change affects an interval or shared occurrence, the decision needs another population, or a simpler construction preserves the same required distinctions. The affected event relation or aggregate is the place to revise.