This article considers the problem of bed rearrangement in a hospital. The problem is formulated as multi‐objective mathematical program. The objectives driving the reallocation of beds could be conflicting in nature. The number of needed beds in each department is found to be highly related to length of stay (LOS) of a patient. Some described it as a random variable following a power law distribution. Hence, determining the number of the reallocated beds in each department could be treated stochastically because it depends on the fluctuation of the LOS. The complexity of the problem is taking care of by formulating the problem as multi‐objective stochastic transportation problem and finding a compromise solution using a linear fuzzy function on the deterministic equivalent. The program is polynomial time solvable. The approach is illustrated through a bi‐objective bed rearrangement problem, treating the possibility of increasing the admissions and the bed occupation, with real data from a hospital.

中文翻译：

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一种模糊多目标多项式时间算法，用于求解病床重排问题的随机运输公式

本文考虑了医院的床位重整问题。该问题被表述为多目标数学程序。驱动床位重新分配的目标本质上可能是矛盾的。发现每个部门所需的床位数与患者的住院时间（LOS）高度相关。有人将其描述为遵循幂律分布的随机变量。因此，可以随机处理确定每个部门中重新分配的病床数量，因为这取决于LOS的波动。通过将问题表述为多目标随机运输问题并在确定性等价项上使用线性模糊函数来找到折衷解决方案，可以解决问题的复杂性。该程序是多项式时间可解的。