Students choosing to pursue the OM/OR track must satisfy the requirements of the general degree track with the following additional requirement:
The student must take core courses of the track, which include:
- The Theory of Operations Management
- Network Optimization
- Queues: Theory and Applications
- Advanced stochastic processes
The doctoral thesis of the student should be in a topic related to OM/OR. One member of the student’s doctoral thesis committee, who should be among faculty from the MISI faculty who specialize in OM/OR, will be responsible to approve whether the thesis topic connects to OM/OR.
The Theory of Operations ManagementFocus on theoretical work for studying operations planning and control problems. Topics include supply chain design and coordination, logistic and distribution systems, make-to-order systems, service operations, procurement, pricing, revenue management, the sales/production interface, inventory theory, flexible manufacturing systems.
||Introduce the theory and practice of network flows and its extensions. Network flow problems form a subclass of linear programming problems with applications to transportation, logistics, manufacturing, computer science, project management, and finance, as well as a number of other domains.
|Queues: Theory and Applications
||Modeling and analysis of queuing systems, with applications in manufacturing, call centers, service industries and transportation. Topics include birth- death processes and simple Markovian queues, networks of queues and product form networks, single and multi-server queues, multi-class queuing networks, fluid models, adversarial, queuing networks, heavy-traffic theory and diffusion approximations. Covers state of the art results, which lead to research opportunities.
|Advanced Stochastic Processes
||Analysis and modeling of stochastic processes. Topics include measure theoretic probability, martingales, filtration, and stopping theorems; elements of large deviations theory; Brownian motion and reflected Brownian motion; stochastic integration and Ito calculus; functional limit theorems. Applications to finance theory, insurance, queuing and inventory models.