Hastane Polikliniği İçin Kuyruk Modelleri Kullanılarak Bekleme Süresi ve Hizmet Verimliliği Analizi

Öz

Bu çalışmada, bir üniversite hastanesinin nöroloji polikliniğindeki bekleme sürelerini azaltmak ve hizmet verimliliğini artırmak amacıyla M/M/m ve G/G/m kuyruk teorisi modelleri incelenmiştir. Farklı doktor sayıları ve hasta yoğunluğu senaryoları değerlendirilmiş, her iki modelin performansı analiz edilmiştir. Düşük ve orta yoğunluk senaryolarında, G/G/m modelinin daha esnek ve etkili olduğu, bekleme sürelerini ve kuyruk uzunluklarını daha düşük seviyelerde tuttuğu gözlemlenmiştir. M/M/m modeli ise düşük yoğunlukta iyi sonuçlar verse de, özellikle yüksek hasta yoğunluğu altında kararsızlık göstermiştir. Analizler, doktor sayısının 9 ila 10 arasında tutulmasının, bekleme sürelerini azaltmada ve hizmet verimliliğini artırmada optimal sonuçlar sağladığını ortaya koymuştur. Yüksek yoğunluk senaryolarında ise her iki modelin de yetersiz kalması, daha gelişmiş simülasyon ve optimizasyon yöntemlerinin kullanılmasını gerekli kılmaktadır. Sonuç olarak, poliklinik hizmet süreçlerinin optimize edilmesi için doktor sayısının dikkatli planlanması, hizmet sürelerindeki belirsizliklerin azaltılması ve G/G/m modelinin tercih edilmesi önerilmektedir. Bu çalışma, operasyonel verimliliğin artırılması ve hasta memnuniyetinin iyileştirilmesi adına önemli stratejiler sunmaktadır.

Anahtar Kelimeler

• Kuyruk Teorisi Modelleri
• Sağlık Hizmetleri Operasyonları
• Hasta Bekleme Süreleri
• Ayakta Servis Optimizasyonu

Waiting Time and Service Efficiency Analysis Using Queuing Models for Hospital Outpatient Clinic

Öz

In this study, M/M/m and G/G/m queueing theory models are investigated to reduce waiting times and improve service efficiency in the neurology outpatient clinic of a university hospital. Different number of doctors and patient density scenarios are evaluated and the performance of both models is analyzed. In low and medium density scenarios, the G/G/m model was found to be more flexible and efficient, keeping waiting times and queue lengths at lower levels. The M/M/m model, on the other hand, showed good results at low density, but showed instability, especially under high patient density. The analysis revealed that keeping the number of doctors between 9 and 10 provides optimal results in reducing waiting times and improving service efficiency. In high density scenarios, both models are inadequate, necessitating the use of more advanced simulation and optimization methods. As a result, it is recommended that the number of doctors should be carefully planned, uncertainties in service times should be reduced and the G/G/m model should be preferred to optimize outpatient service processes. This study provides important strategies for increasing operational efficiency and improving patient satisfaction.

Anahtar Kelimeler

• Queueing Theory Models
• Healthcare Operations
• Patient Waiting Times
• Outpatient Service Optimization

Kaynakça

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