Abstract
This paper aims to find the formation with the best line-up of the Liverpool FC football team in the English Premier League in the 2020/2021 season. Researchers used binary integer programming (BIP) modeling to determine optimum solutions. The data used for this optimization is the rating value of the players recorded in the performance data from the previous matches. The optimum result of this problem is the selection of variables that are valued at 1, namely {x_1, x_4, x_6, x_8, x_21, x_28, x_34, x_37, and x_39} for formations 4-3-3 with a maximum value of 82.47, and variables {x_1, x_6, x_7, x_8, x_11, x_14, x_16, x_29, x_31, x_32, andx_42} for 4-2-3-1 formations with a maximum value of 80.04. The 4-3-3 formation is more effective because it has a higher maximum rating than the 4-2-3-1 formation. 4-3-3 formation is an attacking formation with a higher intensity of attack and faster than 4-2-3-1 formation that tends to defend moderately.
Highlights
Formation in football is a very important thing element in implementing a coach's strategy
The paper (Bradley et al, 2011), describes the comparison of formations in football used in the English premier league
It is well known that the 4-3-3 formation does not touch the ball much 1-2, but instead relies on long passes. It was mentioned in the research (Carling, 2011), that the 4-2-2 formation gives more role to the midfielder in Mahrudinda et al / International Journal of Global Operations Research, Vol 1, No 3, pp. 114-122, 2020 doing the bait spread
Summary
Formation in football is a very important thing element in implementing a coach's strategy. The study formulated the influence of playing formations on high-intensity runs and technical performance during elite football matches. It is well known that the 4-3-3 formation does not touch the ball much 1-2, but instead relies on long passes. It was mentioned in the research (Carling, 2011), that the 4-2-2 formation gives more role to the midfielder in Mahrudinda et al / International Journal of Global Operations Research, Vol 1, No 3, pp. In other conditions, the trainer will apply win-stay loss-shift, in determining formation decisions. In other words, they tend to stick to the current formation after winning and switch to another formation after losing. This is practical, but not a good way to choose a formation (Tamura and Masuda, 2015)
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