arXiv:2505.02170cs.CEcs.AI2025-05

用数据优化梦幻英超球队选择,提升得分稳定性。

A data-driven framework for team selection in Fantasy Premier League

  • 构建混合整数线性规划模型,综合预算与俱乐部人数限制
  • ARIMA结合滚动窗口在2023/24赛季表现最稳定
  • 适合想科学管理阵容和队长轮换的玩家

梦幻足球是价值数十亿美元的产业,参与者超千万。在固定预算下,管理者需选出最大化未来梦幻英超(FPL)积分的阵容。本研究将阵容选择建模为数据驱动的优化问题,提出确定性和鲁棒型混合整数线性规划,考虑预算、阵型及每俱乐部最多三人限制,选定首发十一人、替补及队长。目标函数采用混合评分指标,结合实际FPL积分与基于匹配表现特征的线性回归预测。对比了简单平均、近期加权平均、指数平滑、自回归积分滑动平均(ARIMA)及蒙特卡洛模拟等替代目标与成本估计方法。2023/24赛季实验表明,使用约束预算与滚动窗口的ARIMA表现最一致,加权平均与蒙特卡洛亦具竞争力。鲁棒变体与混合评分虽提升部分指标,但非全面更优。该框架为梦幻阵容构建提供透明决策支持,并可扩展至FPL芯片使用、多周滚动转移规划与每周动态队长决策。

原文摘要 · Abstract (English)

Fantasy football is a billion-dollar industry with millions of participants. Under a fixed budget, managers select squads to maximize future Fantasy Premier League (FPL) points. This study formulates lineup selection as data-driven optimization and develops deterministic and robust mixed-integer linear programs that choose the starting eleven, bench, and captain under budget, formation, and club-quota constraints (maximum three players per club). The objective is parameterized by a hybrid scoring metric that combines realized FPL points with predictions from a linear regression model trained on match-performance features identified using exploratory data analysis techniques. The study benchmarks alternative objectives and cost estimators, including simple and recency-weighted averages, exponential smoothing, autoregressive integrated moving average (ARIMA), and Monte Carlo simulation. Experiments on the 2023/24 Premier League season show that ARIMA with a constrained budget and a rolling window yields the most consistent out-of-sample performance; weighted averages and Monte Carlo are also competitive. Robust variants and hybrid scoring metrics improve some objectives but are not uniformly superior. The framework provides transparent decision support for fantasy roster construction and extends to FPL chips, multi-week rolling-horizon transfer planning, and week-by-week dynamic captaincy.

梦幻足球优化模型数据分析决策支持

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