OPS-RELEASE-AND-WAIT - Change admission without losing the customer’s wait

• Situation: The reported time from internal admission to completion falls after a limit on work in progress, but customers receive their orders no earlier.
• Question: What improved, and what waiting did the internal measure leave out?
• First useful result or blocker: A comparison that keeps the resource arrangement, release rule and customer’s waiting origin together.
• Start with: OPS.11.1 - Construct and Reconcile Operating Models Across Scales for the arrangement being changed, and OPS.15.1 - Derive Operating Quantities from Events for the observations used to compare it.
• Stop or return: Keep a sufficient comparison. Return a changed service limit to admission and commitments; investigate further only if a remaining uncertainty can change that decision.

1. Construct the alternatives on the same operation. Four orders arrive at time zero. Each needs one hour at A and then two hours at B. The two stations have independent resources, work in order and start as soon as permitted; there are no setups, failures or returns. OPS.11.1 keeps these premises and the customer’s completion event while OPS.8 supplies the admission and transfer policy. With individual transfer and all orders admitted at zero, B finishes at hours 3, 5, 7 and 9.
2. Apply the changed admission rule. With at most two orders admitted but unfinished, admit another immediately when a completion frees a place. Admissions occur at 0, 0, 3 and 5; the same resource calculation gives the same four completions. OPS.10.2 - Construct and Revise a Feasible Deadline Schedule places the operations under that admission rule and the unchanged resource conditions. OPS.10 uses the resulting schedule for its capacity and service question. The last order is still ready at hour 9.
3. Measure both waits from their own events. OPS.15.1 derives a mean internal residence of four hours and a mean customer wait of six. Across the empty-to-empty nine-hour interval, the corresponding count-time areas are 16 and 24 order-hours. Eight order-hours moved outside the admission boundary. OPS.15 presents that distinction to the decision maker; a lower internal average alone does not establish earlier delivery.
4. Return a changed physical premise to the plan. If one operator must instead perform every A and B operation without overlap, the four orders require twelve operator-hours. The previous nine-hour plan is infeasible. OPS.11.1 revises the shared-resource account; OPS.10.1 - Construct and Compare Operating Capacity Models derives the resource-time obstruction, and OPS.19 reconciles competing work. A promise to deliver all four by hour 10 needs a changed arrangement or a revised commitment through OPS.13.

The Foundational Thinking Suite Reference develops this constructed example through the mathematical formulation and its computation. A real WIP limit can improve service through reduced interference or rework; that conclusion needs the corresponding mechanism and comparison.