Addressing the importance of the algorithm design process, Deterministic Operations Research focuses on the design of solution methods for both continuous and discrete linear optimization problems.

Inverse optimisation and linear programming have emerged as crucial instruments in addressing complex decision-making problems where underlying models must be inferred from observed behaviour. At ...

Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear Programming: regression, classification and other engineering applications. Integer Linear Programming: Basics, ...

Model abstraction for finite state automata is helpful for decreasing computational complexity and improving comprehensibility for the verification and control synthesis of discrete-event systems (DES ...

Four classes of methods will be covered: Spatial discretization using meshes, particle methods, ray-tracing, and linear solvers. Each of these types of methods have different requirements and lead to ...

The numerical success of the alternating direction method of multipliers (ADMM) inspires much attention in analyzing its theoretical convergence rate. While there are several results on the iterative ...