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Genetic based discrete particle swarm optimization for elderly day care center timetabling

机译:基于遗传的离散粒子群优化算法在老年日托中心时间表中的应用

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摘要

The timetabling problem of local Elderly Day Care Centers (EDCCs) is formulated into a weighted maximum constraint satisfaction problem (Max-CSP) in this study. The EDCC timetabling problem is a multi-dimensional assignment problem, where users (elderly) are required to perform activities that require different venues and timeslots, depending on operational constraints. These constraints are categorized into two: hard constraints, which must be fulfilled strictly, and soft constraints, which may be violated but with a penalty. Numerous methods have been successfully applied to the weighted Max-CSP; these methods include exact algorithms based on branch and bound techniques, and approximation methods based on repair heuristics, such as the min-conflict heuristic. This study aims to explore the potential of evolutionary algorithms by proposing a genetic-based discrete particle swarm optimization (GDPSO) to solve the EDCC timetabling problem. The proposed method is compared with the min-conflict random-walk algorithm (MCRW), Tabu search (TS), standard particle swarm optimization (SPSO), and a guided genetic algorithm (GGA). Computational evidence shows that GDPSO significantly outperforms the other algorithms in terms of solution quality and efficiency.
机译:在这项研究中,当地老年人日托中心(EDCC)的时间表问题被公式化为加权最大约束满足问题(Max-CSP)。 EDCC时间表问题是一个多维分配问题,其中,用户(老年人)需要根据操作约束来执行需要不同场所和时隙的活动。这些约束分为两类:必须严格满足的硬约束和可能违反但有惩罚的软约束。多种方法已成功应用于加权Max-CSP。这些方法包括基于分支和绑定技术的精确算法,以及基于修复启发式算法(例如最小冲突启发式算法)的近似方法。这项研究旨在通过提出基于遗传的离散粒子群优化(GDPSO)解决EDCC时间表问题来探索进化算法的潜力。将该方法与最小冲突随机游走算法(MCRW),禁忌搜索(TS),标准粒子群优化(SPSO)和制导遗传算法(GGA)进行了比较。计算证据表明,在解决方案质量和效率方面,GDPSO明显优于其他算法。

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