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Optimal lineups in Twenty20 cricket. (English) Zbl 07184773
Summary: This paper considers the determination of optimal team lineups in Twenty20 cricket where a lineup consists of three components: team selection, batting order and bowling order. Via match simulation, we estimate the expected runs scored minus the expected runs allowed for a given lineup. The lineup is then optimized over a vast combinatorial space via simulated annealing. We observe that the composition of an optimal Twenty20 lineup sometimes results in non-traditional roles for players. As a by-product of the methodology, we obtain an ‘all-star’ lineup selected from international Twenty20 cricketers.
MSC:
62 Statistics
Software:
snow; Snow; snowfall
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