This research presents a mathematical model for the transportation and distribution of COVID-19 vaccine, a simulation model for fleet optimization, and a measurement model for "Healthcare 4.0." Essay 1 examines the development of a distribution model using mixed integer programming (MIP) with the objective of maximizing the number of vaccinated individuals, minimizing transportation costs across the entire network, and ensuring widespread access. This research primarily focuses on the distribution aspect of the vaccine and accordingly devises a model for transportation and distribution that ensures swift and efficient delivery of the COVID-19 vaccine. Essay 2 provides a simulation-based model to enhance logistics performance by including drones along with vaccine trucks and air cargo in the vaccine distribution fleet. The simulation model focuses on minimization of the overall cost of distribution of medical supplies. This second study shows that the types of vehicles utilized have an impact on overall system performance. The selection of the appropriate mix for the mode of transportation impacts transportation costs and lead time. To increase the responsiveness and cost-effectiveness of the logistics system for delivery of the vaccine a proper fleet configuration is required. The model developed in this study is validated via application in Telangana, India as well as through confirmation about the applicability of the model with healthcare executives. Essay 3 introduces a measurement model and constructs for Healthcare 4.0, specifically tailored for implementation by healthcare service providers. While the concept of Healthcare 4.0 and its various components have been explored in the literature, the existing body of research primarily consists of conceptual and theoretical studies, indicating that Healthcare 4.0 is still a relatively nascent research domain. In order to facilitate practical and theoretical advancements in this field, it is imperative to refine the constructs and establish a consensus on perspectives and definitions. To address this need, the items pertaining to Healthcare 4.0 for healthcare service organizations were developed through an extensive literature review and interviews conducted with practitioners in the field. The resulting theoretical model was further validated by surveying experienced professionals from the healthcare industry, utilizing Mturk as a platform.