An Iterated Local Search for the Talent Scheduling Problem with Location Costs

Thu Trang Hoa, Minh Anh Nguyen
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Abstract

The talent scheduling problem seeks to determine the movie shooting sequence that minimizes the total cost of the actors involved, which usually accounts for a significant portion of the cost of any real-world movie production. This paper introduces an extension of the talent scheduling problem that takes into account both the costs of filming locations and actors. To better capture reality, we consider that the rental cost for a filming location can vary across the planning horizon. The objective is to find the shooting sequence as well as the start date for each scene that minimizes the total cost, including actor and location costs, while ensuring all scenes are completed within the planning horizon. We first formulate the problem as a mixed integer linear programming (MILP) model, from which small instances can be solved to optimality by MILP solvers. Next, an iterated local search heuristic that can efficiently solve larger instances is developed. Then we provide a new benchmark data set for our new variance of the talent scheduling problem. The results of computational experiments upon new benchmark instances suggest that our heuristic can outperform the MILP model solved by a commercial solver in terms of both solution quality and runtime.
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考虑位置成本的人才调度问题的迭代局部搜索
人才调度问题旨在确定电影拍摄顺序,使所涉及的演员的总成本最小化,这通常占任何现实电影制作成本的很大一部分。本文介绍了同时考虑拍摄场地和演员成本的人才调度问题的扩展。为了更好地捕捉现实,我们考虑到拍摄地点的租金成本在规划范围内可能会有所不同。目标是为每个场景找到拍摄顺序以及开始日期,以最大限度地减少总成本,包括演员和位置成本,同时确保所有场景在规划范围内完成。我们首先将问题表述为一个混合整数线性规划(MILP)模型,从该模型中可以用MILP求解器求解小实例的最优性。其次,提出了一种能够有效求解较大实例的迭代局部搜索启发式算法。然后,我们为人才调度问题的新方差提供了一个新的基准数据集。在新的基准实例上的计算实验结果表明,我们的启发式算法在求解质量和运行时间方面都优于商业求解器求解的MILP模型。
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