Pharmacy Duty Scheduling Problem: Gümüşhane Case

In the Turkish Healthcare System, pharmacies are an important echelon of the drug supply chain. The pharmacy on duty practice ensures that the demand for drugs and similar medical supplies is met 24/7. The duty pharmacy scheduling problem aims to satisfy the customers and the pharmacists without violating the regulations while determining the duty sequence of the pharmacies in a certain planning period. This study handles the duty pharmacy scheduling problem of Gümüşhane City Center where 13 pharmacies operate. In the current system, the representative pharmacist prepares the duty schedule manually. The planning period is divided into subsets, and pharmacies are assigned to the duties in each subset respectively in such the number of duties of each pharmacy in the subsets is as equal as possible. The managerial problem of the case is that the duty frequency of each pharmacy is variable in the manual schedule and pharmacists perceive this as an unfairness. Because pharmacists expect to be on duty 1 in 13 days. We propose a mathematical model that adopts the fixed duty frequency and the inheritance of duty distribution. We test the model according to the 2020 calendar and compare model results with the real duty schedule belong to 2020 using the 2019 distribution of pharmacies. The comparison and test results show that the duties are distributed as fairly as possible and the turn of each pharmacy is repeated once every 13 days. The contribution of this study is that it introduces innovative components to the pharmacy duty scheduling problem, offers practical policy recommendations, and provides a case-specific example to limited PDS literature.