23-Ind-A4 Production Management · December 2019
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Technical Examinations — December 2019 — 17-Ind-A4 Production Management. Three-hour, closed-book exam; Casio or Sharp approved calculators only. Format: seven questions, each worth 20 marks (sub-part weights per the front-page marking scheme); candidates do two questions from Section A and three from Section B, and only the first five questions appearing in the answer book are marked. All seven are solved below for completeness. The paper asks for point-form answers wherever possible; the solutions below use full working for clarity.
Reference texts: Liker, The Toyota Way, and Shingo, A Revolution in Manufacturing: The SMED System — JIT, 5S/andon/poka-yoke/SMED/TPM and lean root-cause analysis; Niebel & Freivalds, Methods, Standards, and Work Design — process charting and methods analysis; Nahmias & Olsen, Production and Operations Analysis (7th ed., Waveland/McGraw-Hill) — forecasting, lot sizing (Wagner–Whitin) and aggregate planning; Hillier & Lieberman, Introduction to Operations Research (11th ed.) — project scheduling (CPM/PERT); Pinedo, Scheduling: Theory, Algorithms, and Systems (5th ed.) — parallel-machine scheduling and days-off workforce scheduling.
Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.
Just-in-time (JIT) production is a manufacturing philosophy, developed within the Toyota Production System, whose goal is to produce and deliver exactly the right items, in exactly the quantity needed, at exactly the time they are needed — no earlier and no later — so that inventory, and the costs and defects it hides, are driven toward zero rather than carried as a buffer against an unmanaged process.
Seven of its fundamental concepts:
Consider a manufacturer of highly customized, low-volume aerospace subassemblies that sources several critical, long-lead-time components from a small number of overseas specialty suppliers whose own delivery reliability is poor and whose lead times run several months. Attempting to run this operation under classic JIT — pulling small lots against a kanban signal with little or no buffer stock — will not work well.
The reason is that JIT's entire logic depends on high-frequency, reliable, short-cycle replenishment: a pull signal is only useful if the upstream source can respond to it quickly and predictably. Here, demand for any given configuration is low and irregular (each aircraft build is close to a one-off), so there is no stable consumption rate for a kanban loop to regulate against, and the long, unreliable overseas lead times mean that by the time a shortage is signalled, the part cannot arrive in time regardless of how quickly the signal propagates. Running with near-zero buffer stock under these conditions would expose the line to frequent, costly stoppages rather than the smooth, low-inventory flow JIT is meant to deliver — the variability and uncertainty JIT is designed to expose and eliminate are, in this case, structural facts of the supply base that no amount of internal pull-system discipline can fix. A more appropriate strategy is a hybrid approach: JIT/pull scheduling for the high-volume, reliably-sourced components, paired with strategic (buffer) stock and longer-horizon forecasting for the small set of critical, unreliable, long-lead-time items.