On a timetabling problem in the health care system

This paper proposes a mathematical goal program for the design of timetables radiologists. The converts tedious monthly tasks head radiology department leading hospital to simple optimization problem that abides regulations Ministry Health and avoids conflicting issues may arise among coworkers. which is designed tactical level can also be used at strategic ( i.e. , account long time horizon) plan longer term constraints such vacations, medical study leaves, recruitment, retirement, etc. Despite its large size, herein solved using an off-the-shelf solver (CPLEX). Empirical tests on case prove efficiency obtained schedule highlights gain utility developed model. They reflect practical aspects timetabling radiologists’ availability. Specifically, not only does model solution reduce effort Department in this stage, but it promotes social peace technicians sense fairness/unbiasedness. In addition, operational as rescheduling tool by those wishing trade their shifts, sensitivity analysis managers effect some phenomena absenteeism, increasing or decreasing workforce, extending work hours welfare patients.