23-Ind-A3 Facilities Planning · December 2015
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Exams — December 2015 — 98-Ind-A3 Facilities Design. Three-hour, closed-book exam (Casio or Sharp approved calculator only); any five of the seven questions constitute a complete paper and only the first five answered in the answer book are marked — all seven are solved below for completeness.
Reference texts: Tompkins, White, Bozer & Tanchoco, Facilities Planning (4th ed., Wiley) — the facilities-planning hierarchy, the facilities planning process, facility location and plant-site selection, manufacturing cells, machine space and line-balancing models, computerized layout algorithms (CRAFT/CORELAP), and material handling equipment/systems; Niebel & Freivalds, Methods, Standards, and Work Design (13th ed.) — assembly-line balancing (Ranked Positional Weight technique), balance delay, and production-quantity planning with scrap/rework.
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.
Centralizing all tool and gauge cribs into one (or a small number of) location(s) gives: (1) lower total inventory — pooling demand across the whole plant lets a smaller total stock of each tool/gauge cover the same aggregate usage (the statistical pooling effect: variance in combined demand is proportionally smaller than the sum of variances in many separate, smaller crib inventories), reducing capital tied up in tooling; (2) better tool utilization and less duplication — a tool sitting idle in one department's crib is available to any department, instead of every department needing to hold enough of its own tooling to cover its own peak demand independently; (3) easier and more consistent tool maintenance, calibration and control (especially important for gauges, which require periodic calibration to remain trustworthy) since a single, specialized crib staff is responsible for the whole plant's tooling rather than the responsibility being diffused (and inconsistently executed) across many small, informally run cribs; (4) reduced floor space devoted to tool storage overall (one well-organized central store versus many scattered small stores each needing its own aisle and storage racking); (5) specialized, dedicated crib staff who become expert in tool identification, condition assessment and calibration, versus production operators or supervisors managing tooling as a secondary duty; and (6) simplified purchasing and standardization, since one crib controlling all tooling can more easily enforce standard tool specifications and consolidate purchasing volume for better pricing.
Decentralization (multiple, smaller cribs located near the point of use) is preferable when: (1) the plant is physically large or spread across multiple buildings, so travel time/distance to one central crib would itself become a significant productivity loss; (2) tool demand at a given work area is high-frequency and department/product-specific (i.e., that tooling has essentially no use anywhere else in the plant), so pooling offers little inventory-reduction benefit to offset the added travel distance; (3) production is organized into manufacturing cells (Question 2(i)) or dedicated product lines where the same tool family is used repeatedly at one location, making it more efficient to store that tooling right at the point of use rather than round-trip it to a central location on every use; (4) the tools/gauges are large, heavy, or otherwise costly to transport, so moving them to/from a distant central crib on every use adds more handling cost than a smaller local stock would save; and (5) response-time requirements are tight enough (e.g., high-volume, short-cycle-time production where a delayed tool delivery stalls an expensive line) that even a well-run central-dispatching system (part iii) cannot deliver fast enough, making a local crib the only way to guarantee availability. In general, decentralization is favoured wherever the travel-time/response-time cost of a central crib would outweigh the inventory-pooling and control benefits described in part (i).
Consolidating tool/gauge cribs while adding a dispatching system that delivers tools and gauges directly to operators and inspectors (rather than requiring them to travel to and queue at the crib) captures the inventory-pooling and control benefits of centralization (part i) while removing its principal weakness — the operator/inspector travel-and-wait time that would otherwise argue for decentralizing (part ii). Specific advantages: (1) operators and inspectors remain at their workstations producing/inspecting instead of walking to and queuing at a crib window, directly increasing productive (value-adding) time; (2) the central crib's inventory-pooling and calibration-control benefits (part i) are fully retained; (3) tool/gauge delivery can be scheduled or triggered (e.g., alongside a preventive-maintenance or job-changeover schedule) rather than left to ad hoc, uncoordinated individual trips, smoothing the crib's own workload; (4) delivery records provide better tool-usage and location tracking (which tool is where, and for how long), improving both control and the crib's demand forecasting; and (5) the net effect is that a single consolidated crib can serve a much larger, more dispersed plant than a purely centralized "operator walks to the crib" arrangement could, extending the pooling benefit's reach without the travel-time penalty that would otherwise cap it.
A feasibility study justifying consolidation-plus-dispatching should proceed as a standard economic-justification study, focused on collecting the data needed to compare the current (decentralized/self-serve) state against the proposed (consolidated/dispatched) state:
Baseline data collection (current state). Measure operator and inspector time currently spent travelling to and waiting at existing crib(s) — by time study or work sampling — converted to a productivity-loss cost using labour rates; inventory levels, duplication and carrying cost across all existing cribs; crib staffing levels and their utilization; tool/gauge loss, damage and mis-calibration incident rates under the current, less-controlled arrangement; and the current cribs' footprint (space cost).
Proposed-system data and design. Estimate the consolidated crib's required inventory (using the pooling effect from part i, ideally verified against actual plant-wide usage data rather than assumed), staffing, and space requirement; design the dispatching method (fixed-route delivery, request-triggered delivery, or a hybrid) and estimate its delivery time/response time against the operators' actual need windows; and estimate dispatching-system capital cost (carts/vehicles, tracking system) and incremental operating cost (dispatcher labour, delivery time).
Comparative economic justification. Compile the savings side — reduced inventory carrying cost (from pooling), reduced duplicate-crib space, reduced operator/inspector unproductive travel time, and reduced loss/mis-calibration incidents — against the cost side: consolidated crib setup, dispatching system capital and operating cost, and any transition cost. This is evaluated with standard engineering-economy methods (e.g., present-worth or IRR analysis over the tooling/equipment's planning horizon) to produce a clear, quantified project justification rather than a qualitative recommendation. Sensitivity analysis on the most uncertain input (typically the estimated travel-time savings, since it is usually the largest single benefit) should be included so the recommendation's robustness to that uncertainty is explicit.
Recommendation. Present the consolidated-plus-dispatching option as justified when its quantified savings exceed its cost over the planning horizon by an acceptable margin; where the comparison is close, present the qualitative advantages of part (a) (control, tracking, calibration consistency) as tie-breaking, non-quantified benefits alongside the economic result.