How Many Parts to Make at Once¶
Harris, F. W. (1913). How Many Parts to Make at Once. Factory: The Magazine of Management, 10(2), 135-136.
Cited by¶
4 citations across 4 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Batch Processing
- Recognising the pattern enables the batch-size optimisation: the relationship between fixed setup cost, per-item processing cost, and arrival rate determines an optimal batch size at which marginal latency cost balances marginal setup-amortisation gain, and the same calculation appears in inventory theory, in deferred-compilation decisions, and in grading workflow.
This sourceOriginal economic-lot-size (EOQ) derivation balancing fixed setup cost against per-item holding cost to find an optimal batch.
Supported in partVerified against the work's full text
Harris derives an optimal lot size from set-up cost, unit cost and usage rate by balancing falling set-up cost per unit against rising interest/stock cost; the latency, compilation and grading analogues are not in it.
“The set-up cost curves slope downward with increased size of the order while the interest curves slant upward. The sum of the two elements gives total costs”
- Recognising the pattern enables the batch-size optimisation: the relationship between fixed setup cost, per-item processing cost, and arrival rate determines an optimal batch size at which marginal latency cost balances marginal setup-amortisation gain, and the same calculation appears in inventory theory, in deferred-compilation decisions, and in grading workflow.
- Batch Size
- The canonical clean instantiation is the economic order quantity, whose substrate- independent form — optimum batch size scales as the square root of the ratio of setup cost to flow cost — is itself portable.
This sourceDerives the economic order quantity Q* = √(2SD/H), the closed-form interior optimum balancing fixed setup cost against per-item holding cost.
Supported in partVerified against the work's full text
Harris's EOQ paper shows lot size scaling with the square root of consumption; the setup-to-flow-cost ratio is not legible in the extracted text.
“it is of value to know that this con- sumption must increase four fold to warrant doubling the manufacturing quantities.”
- The canonical clean instantiation is the economic order quantity, whose substrate- independent form — optimum batch size scales as the square root of the ratio of setup cost to flow cost — is itself portable.
Domain-specific¶
- Economic Order Quantity
- Under the canonical deterministic, steady-rate assumptions — constant demand rate D, fixed cost K per order, and holding cost h per unit per year — the minimum is at the closed-form optimum EOQ = √(2DK/h)
This sourceThe original statement of the lot-size trade-off in which interest on capital tied up in stock sets the maximum and set-up costs the minimum quantity worth making at once.
Supported in partVerified against the publisher's abstract
“Interest on capital tied up in wages, material and overhead sets a maximum limit to the quantity of parts which can be profitably manufactured at one time; “set-up” costs on the job fix the minimum.”
- Under the canonical deterministic, steady-rate assumptions — constant demand rate D, fixed cost K per order, and holding cost h per unit per year — the minimum is at the closed-form optimum EOQ = √(2DK/h)
Mechanisms¶
- Economic Order Quantity Model
- Because the curve is convex, that point is a unique closed-form optimum — the square-root EOQ formula.
This sourceDerives the unique cost-minimizing economic lot size as a square-root formula from setup and carrying costs.
- Because the curve is convex, that point is a unique closed-form optimum — the square-root EOQ formula.
Verification¶
Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.
Does it back the claim? Read against the text for 3 of 4 citations: 3 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.
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Links previously used in the corpus¶
Before the registry existed this work was also linked 1 other way.
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