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IJE TRANSACTIONS B: Applications Vol. 31, No. 2 (February 2018) 365-373
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A MULTI-OBJECTIVE HIERARCHICAL LOCATION-ALLOCATION MODEL FOR THE HEALTHCARE NETWORK DESIGN CONSIDERING A REFERRAL SYSTEM
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M. Maleki Rastaghi, F. Barzinpour and M. S. Pishvaee
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( Received:
July 01, 2017
– Accepted in Revised Form: November 30, 2017 )
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Abstract
This paper presents a multi-objective and multi-service location-allocation model with capacity planning to design a
healthcare facilities network through considering a referral system. Therefore, a mixed integer nonlinear programming
(MINLP) model containing two objective functions is proposed. The first objective function is relates to minimization
of total opening cost, minimization of total set up cost of different types of services and minimization of total
traveled distance by patients to reach each facility. The second objective function in the model aims to minimize
maximum normalized workload between opened facilities in each level. Specifying location of different facilities,
allocating patients zones to family physician centers, establishing an optimal flow between different levels in the
network and determining the optimal capacity for different specialized and super specialty facilities are main strategic
and tactical decisions in the proposed model. In order to solve the proposed model and arrive at Pareto solutions, a
primary nonlinear integer program is transformed to linearize the model and then, an augmented -constraint method is
applied on numerical examples. Finally, the results obtained by sensitivity analysis on the main parameters are reported
to show that the presented model can be used to design a multi-level healthcare facility network.
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Keywords
Healthcare network design, Location-allocation, Referral system, Capacity planning, Family physician centers, Augmented
ε-constraint.
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چکیده
دراین مقاله، یک مدل مکانیابی-تخصیص چندهدفه و چندخدمته سلسله مراتبی به همراه برنامهریزی ظرفیت برای طراحی شبکه سلامت با در نظرگرفتنن نظام ارجاع ارائه شده است. بدین منظور یک مدل برنامهریزی غیرخطی دوهدفه پیشنهاد شده است. تابع هدف اول مربوط به حداقل کردن مجموع هزینههای تاسیس تسهیلات ، هزینههای راهاندازی انواع خدمات در تسهیلات و مجموع مسافت طی شده توسط بیماران برای رسیدن به هر تسهیل میباشد. در تابع هدف دوم، حداکثر بارکاری در میان تسهیلات بازشده درهرسطح حداقل می شود. در مدل پیشنهاد شده، تعیین مکان بهینهی تسهیلات مختلف، تخصیص مناطق بیماران به مراکز پزشک خانواده، تعیین جریان بهینه بین سطوح مختلف شبکه، وتعیین ظرفیت بهینهی تسهیلات تخصص و فوقتخصصی جز تصمیمات مهم تاکتیکی و استراتژیکی است. به منظور حل مدل پیشنهادی و بدست آوردن نقاط پارتویی، ابتدا مدل ارائه شده به مدل خطی تبدیل شده، سپس از روش محدودیت اپسیلون توسعه یافته بر روی مثالهای عددی استفاده شده است. نتایج حاصل از آنالیز حساسیت برروی پارامترهای اساسی نشان میدهد که مدل ارائه شده میتواند برای طراحی شبکه سلامت چندسطحه به کار رود.
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