23-Ind-A4 Production Management · December 2017
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Technical Examinations — December 2017 — 98-Ind-A4 Production Management. Three-hour, closed-book exam; Casio or Sharp approved calculators only. Format: eight questions, each worth 20 marks (sub-part weights 10/10 as tabulated on the front-page marking scheme); only the first five questions appearing in the answer book are marked, so candidates effectively choose 2 of 3 in Section A and 3 of 5 in Section B. All eight are solved below for completeness. The paper asks for point-form answers wherever possible; the solutions below use full working for clarity.
Reference texts: Nahmias & Olsen, Production and Operations Analysis (7th ed., Waveland/McGraw-Hill) — forecasting, inventory (EOQ/EPQ) and aggregate planning; Sipper & Bulfin, Production: Planning, Control, and Integration — production scheduling, JIT/kanban and shop-floor implementation gaps; Hillier & Lieberman, Introduction to Operations Research (11th ed.) — LP formulation and project scheduling (CPM/PERT); Pinedo, Scheduling: Theory, Algorithms, and Systems (5th ed.) — parallel-machine scheduling and days-off workforce scheduling; Hopp & Spearman, Factory Physics (3rd ed.) — variability, buffering, and production scheduling; Liker, The Toyota Way, and Shingo, A Revolution in Manufacturing: The SMED System — 5S, Five Whys, SMED and lean root-cause analysis.
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.
SMED (Single-Minute Exchange of Die) is a lean methodology, developed by Shigeo Shingo at Toyota, for reducing equipment changeover time — the time between the last good part of one production run and the first good part of the next — down to “single-digit minutes” (under ten). It works by separating every changeover task into two categories and then systematically shrinking both:
Example. A stamping press changing dies between two part numbers originally takes 90 minutes: the operator waits for the crane to bring the next die (internal, but purely a waiting/logistics problem), unbolts eight mounting bolts of varying sizes, manually shims the new die to the correct height, and re-torques all eight bolts. Applying SMED: the next die is pre-staged on a cart beside the press and inspected while the current die is still running (external); the eight assorted bolts are replaced with quarter-turn clamps on a standardized die-base height (streamlining); and a locating pin fixes horizontal alignment automatically (eliminating the manual shim step). The changeover, now only “crane the pre-staged die in, engage four clamps, verify with a go/no-go gauge,” falls from 90 minutes to under 8 — enabling smaller batches (since setup no longer dominates the cost trade-off), which is precisely the enabler JIT/kanban production depends on.
Kanban is a pull-based visual signal system: a downstream station only produces (or a supplier only ships) when an empty kanban card or bin arrives, and the number of cards in circulation for a part sets a hard ceiling on the WIP for that part. Sizing that card count correctly assumes demand for the part is reasonably stable and repetitive, so a fixed number of cards, once tuned, keeps the line fed without either starving or over-producing.
Example situation: a job shop building highly customized, low-volume, engineer-to-order equipment — e.g., a manufacturer of one-off industrial test rigs, where each order has a different bill of materials, different routing through the shop, and no two consecutive jobs are alike. Kanban is not advisable here because:
By contrast, kanban is well-suited to the opposite case: a repetitive, high-volume assembly line consuming the same fasteners, sub-assemblies, or components shift after shift, where a stable average consumption rate makes a fixed card count both calculable and effective.