Genetic algorithm based on weighted goal programming for doctor rostering problem

Yıl 2024, Cilt: 39 Sayı: 4, 2567 - 2586, 20.05.2024

Anıl Yalçın , Derya Deliktaş

https://doi.org/10.17341/gazimmfd.1355533

Cited By: 1

Öz

In the healthcare sector, undisrupted service is essential for hospitals. Therefore, shift work plays a vital role in satisfying constraints such as coverage requirements and government regulations. The doctor rostering problem is classified as an NP-hard problem due to its complexity and scale. In addition to the fairness of assignments, including hospital management policies, and government regulations, many related factors must be taken into account during the scheduling process in this scheduling problem.
This study aims to generate a rostering system that can satisfy the requirements of the hospital, ensure fairness amongst the doctors, and take preferences into account. A genetic algorithm based on a weighted goal programming model was proposed to solve the doctor rostering problem. The proposed model was applied to the Internal Diseases Department and the Lateral Branches Department of Kütahya Evliya Çelebi Education and Research Hospital.
15 different scenarios were constructed, considering different problem scales and different preference patterns of the doctors that may occur in the the future. It is approved that the proposed algorithm can be applied to different problem scales and conditions. The parameters of the proposed algorithm were calibrated with an experimental design method. In this study, two main contributions were presented. A model with new constraints was introduced for researchers. In addition, a genetic algorithm based on weighted goal programming was proposed to solve the problem and applied to a real-world case study.

Anahtar Kelimeler

Doctor rostering, experimental design, genetic algorithm, weighted goal programming, sensitivity analysis

Doktor nöbet cetveli çizelgeleme problemi için ağırlıklı hedef programlama tabanlı genetik algoritma

Öz

Sağlık hizmeti alanında, hastaneler için kesintisiz hizmet esastır. Bu nedenle, vardiyalı çalışma, talep kısıtları ve devlet düzenlemeleri gibi kısıtların karşılanabilmesi açısından oldukça önemli bir rol oynamaktadır. Doktor nöbet cetveli çizelgeleme problemi, problemin karmaşıklığı ve büyüklüğü sebebiyle NP-zor problem grubu içerisinde tanımlanmaktadır. Bu çizelgeleme probleminde, atamaların adilliğine ek olarak, hastane yönetim politikaları ve hükümet düzenlemeleri dâhil olmak üzere ilgili pek çok faktör hesaba katılmalıdır.
Bu çalışma, hastane gereksinimlerini, doktorlar arasındaki adilliği karşılayabilen ve doktor tercihlerini göz önünde bulundurabilen bir nöbet cetveli çizelgeleme sistemi oluşturmayı amaçlamıştır. Ele alınan nöbet cetveli çizelgeleme probleminin çözümü için bir ağırlıklı hedef programlama-tabanlı genetik algoritma önerilmiştir. Önerilen model Kütahya Evliya Çelebi Eğitim ve Araştırma Hastanesi Dahiliye Departmanı ve İç Hastalıkları Departmanı’na uygulanmıştır.
Gelecekte, oluşabilecek problem boyutları, şartları ve farklı tercih modelleri düşünülerek 15 farklı senaryo oluşturulmuştur. Bu senaryolarla önerilen algoritmanın farklı durumlarda da uygulanabilir olduğu gösterilmiştir. Önerilen algoritmanın parametreleri, bir deneysel tasarım yöntemiyle kalibre edilmiştir. Bu çalışma ile iki ana katkıda bulunulmuştur. Araştırmacılar için yeni kısıtlara sahip bir model önerilmiştir. Ek olarak, problemin çözümü için bir ağırlıklı hedef programlama-tabanlı genetik algoritma önerilerek gerçek-hayat problemine uygulanmıştır.

Anahtar Kelimeler

Ağırlıklı hedef programlama, deney tasarımı, doktor nöbet cetveli çizelgeleme, genetik algoritma, duyarlılık analizi

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