Convex hull representations of models for computing collisions between multiple bodies

Article Abstract:

An investigation is conducted into the problem of collision detection which is often seen within robotics. Where bodies have linear trajectories, a convex hull representation of Selim and Almohamad's (1999) integer programming model is constructed.

Research, Methods, Robotics, Convex programming

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Mathematical programming models and algorithms for a classufaculty assignment problem

Article Abstract:

Solution for a faculty member assignment problem of Kuwait University is derived using integer programming models. CPLEX-MIP (version 7.5) and linear programming based heuristic are also used in solving the problem.

Management dynamics, Personnel administration, Work Schedules, Kuwait, Management, Human resource management, Work hours, Company business management, Company personnel management, Heuristic programming, Hours of labour, Kuwait University

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Collision computation of moving bodies

Article Abstract:

An explicit mathematical representation of n-dimensional bodies moving in translation along general trajectories was developed. This model was employed to determine if two moving bodies are going to collide. An optimization problem was developed for finding the time and location of the collision. The special cases of linear and piecewise linear trajectories were examined. The problem of finding the collision time and location of several moving bodies was solved by integer programming.

Collisions (Physics)

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