A multi-objective scheduling model in medical tourism centers considering multi-task staff training

Abstract

In the present era, hospitals are actively encouraging their International Patient Departments (IPD) to provide high-quality medical services at a cost-effective rate for international patients. To accomplish this objective, several crucial factors must be taken into account, including capacity constraints, hospital waiting lists, and the presence of a highly skilled workforce. The waiting time experienced by patients is a significant indicator of the quality of hospital services and is often used by patients to evaluate healthcare professionals, sometimes even surpassing their knowledge and expertise. This becomes particularly critical when dealing with international patients as longer waiting times indirectly lead to additional accommodation costs. One potential solution is to schedule international patients on different days within a specific timeframe to minimize patient flow time. However, this can only be realistically achieved if staff productivity is enhanced through in-service training. These challenges, coupled with the uncertainty surrounding treatment duration, create a complex problem for IPDs. This study proposes an optimization approach for scheduling medical tourists who visit destination medical centers with two primary objectives: 1) reducing patient waiting times and 2) decreasing training costs while enhancing the skill level of the staff serving patients. The proposed model is formulated as a bi-objective nonlinear integer programming problem, which is subsequently transformed into a linear model using theoretical techniques. Given that this problem is NP-hard, two efficient meta-heuristic methods are developed to solve it for real-world scenarios of varying sizes. The findings of this study present a comparative analysis between the outcomes generated by the proposed algorithms and an exact method (CPLEX), showcasing their effectiveness and superiority. Additionally, a sensitivity analysis highlights that despite the costs associated with in-service training, enhancing staff skills can substantially reduce patient waiting times, resulting in significant cost savings for medical services while ensuring the delivery of high-quality care. Moreover, the improved staff skills enable IPD managers to gain valuable insights into the financial well-being of the medical center, including its ability to attract medical tourists.