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Wartime math that moved convoys, camouflage, and depth charges

Operations research applies models, statistics and optimization to messy decisions—maximise yield or minimise risk. Born around Britain's Chain Home radar in 1937 and forged in World War II, it now steers airlines, logistics and finance with the same quantitative habit.

OR, also called operational research or sometimes management science, builds analytical methods for better decisions. It borrows modelling, statistics and optimization to seek optimal or near-optimal answers, overlapping industrial engineering and computer science. Toolkits range from simulation and queueing theory to Markov decision processes, data envelopment analysis, neural nets and the analytic hierarchy process—almost always via mathematical models of the system under study.

Ancestors stretch from Pascal and Huygens on the problem of points, through Babbage's mail-cost work that fed England's 1840 Penny Post, to Ford W. Harris's 1913 economic order quantity. Modern OR took shape at Bawdsey Research Station in 1937 under A. P. Rowe and Robert Watson-Watt, diagnosing Britain's Chain Home early-warning radar. In wartime Britain nearly a thousand people did OR; about two hundred served the Army. Patrick Blackett's "Circus" cut anti-aircraft rounds per kill from over 20,000 early in the Battle of Britain to 4,000 by 1941.

Coastal Command studies showed convoy losses tracked escort numbers more than convoy size, favouring fewer large convoys. Painting patrol aircraft white rather than bomber-black let crews close about 20% nearer before detection, projecting roughly 30% more U-boat attacks per sighting. Resetting aerial depth-charge triggers from 100 feet to 25 feet raised submerged U-boat sink rates from about 1% to 7%. Bomber-damage surveys, echoed by Abraham Wald at Columbia, warned against armouring the holes in planes that returned—those spots were survivable; untouched zones were likely lethal. Exchange-rate thinking, such as sixty mines per ship sunk across several campaigns, redistributed scarce patrol hours.

After the wars the same methods spread through petrochemicals, airlines, finance, logistics and government. George Dantzig and British scientists including Freeman Dyson and Jacob Bronowski helped carry the quantitative decision culture into peacetime industry and academia.

Source: Operations research

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