用模糊多目标多项式时间算法求解医院床位重排问题的随机运输公式

IF 1.9 Q3 MANAGEMENT
Badreddine Jerbi
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引用次数: 1

摘要

本文研究了某医院的床位整理问题。该问题被表述为多目标数学规划。推动床位重新分配的目标在本质上可能是相互冲突的。每个科室所需床位的数量与患者的住院时间(LOS)高度相关。一些人将其描述为遵循幂律分布的随机变量。因此,确定每个科室重新分配的床位数量可以随机处理,因为它取决于LOS的波动。通过将问题表述为多目标随机运输问题,并利用确定性等价的线性模糊函数寻找折衷解来处理问题的复杂性。该程序是多项式时间可解的。该方法通过一个双目标床位重排问题来说明,处理增加住院人数和床位占用的可能性,并使用医院的实际数据。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A fuzzy multi-objective polynomial time algorithm to solve the stochastic transportation formulation of a hospital bed rearrangement problem

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.

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来源期刊
CiteScore
4.70
自引率
10.00%
发文量
14
期刊介绍: The Journal of Multi-Criteria Decision Analysis was launched in 1992, and from the outset has aimed to be the repository of choice for papers covering all aspects of MCDA/MCDM. The journal provides an international forum for the presentation and discussion of all aspects of research, application and evaluation of multi-criteria decision analysis, and publishes material from a variety of disciplines and all schools of thought. Papers addressing mathematical, theoretical, and behavioural aspects are welcome, as are case studies, applications and evaluation of techniques and methodologies.
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