Integer optimisation for the selection of a Twenty20 cricket team

The attraction of Twenty20 cricket for spectators has sparked huge commercial interest in the marketing of the concept. The International Cricket Council has sanctioned world tournaments, the inaugural tournament in South Africa and the recent 2009 event, while the 2008 and 2009 Indian Premier Leagu...

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Bibliographic Details
Published in:The Journal of the Operational Research Society 2011-09, Vol.62 (9), p.1688-1694
Main Authors: Sharp, G D, Brettenny, W J, Gonsalves, J W, Lourens, M, Stretch, R A
Format: Article
Language:English
Subjects:
Applied sciences
Bowling
Business and Management
Capital budgeting
Coefficients
Cricket
Exact sciences and technology
Firm modelling
Game theory
Integer programming
Integers
Management
Mathematical programming
Objective functions
Operational research and scientific management
Operational research. Management science
Operations research
Operations Research/Decision Theory
Optimization
Performance metrics
Programming models
Simulation
sports
statistics
Studies
team selection
Term weighting
Theoretical Paper
Theoretical Papers
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Summary:The attraction of Twenty20 cricket for spectators has sparked huge commercial interest in the marketing of the concept. The International Cricket Council has sanctioned world tournaments, the inaugural tournament in South Africa and the recent 2009 event, while the 2008 and 2009 Indian Premier League tournaments have generated profitable returns for both players and franchise owners. This paper describes methods for quantifying a cricket player's performance based on his ability to score runs and take wickets. These performance measures are then used to determine the optimal team using an integer programme. An illustration of the method is provided using data from the inaugural Twenty20 World Cup held in South Africa in 2007.
ISSN:0160-5682
1476-9360
DOI:10.1057/jors.2010.122