The Orai application is a project management tool that uses the Neo4j graph database and Django web framework to build sprint cycles for development teams. It monitors tasks dependent on each other, prioritizes them based on complexity, and allows users to control the length of sprints, essential tasks, and the number of tasks per sprint. The system takes in four user inputs: max complexity value per sprint, minimum number of sprints desired, a set of prioritized stories, and an optional maximum dependency tree length. It provides example roadmaps based on inter-story relationships, helping teams plan and schedule their projects more efficiently. The team behind Logic13 developed Orai as part of Florida Atlantic University's Senior Design Program, learning new programming skills and collaborating through GitHub.