We present results regarding the existence, regularity and uniqueness of solutions master equation associated with mean field planning problem in finite state space case, presence a common noise. The hold under monotonicity assumptions, which are used crucially, different proofs paper. also make link trajectories induced by solution start discussion on case boundary conditions.

The purpose of this paper is to investigate the motion planning problem (MPP) for a class hyperbolic PDEs with boundary control. Precisely, we aim construct an input control leading state output track given (sufficiently smooth) target trajectory. First, establish solution MPP in form state-feedback law. Second, provide explicit expression whole resulting closed-loop. Third, furnish formula MP ...

being one of the major research fields in the robotics discipline, the robot motion planning problem deals with finding an obstacle-free start-to-goal path for a robot navigating among workspace obstacles. such a problem is also encountered in path planning of intelligent vehicles and automatic guided vehicles (agvs). traditional (exact) algorithms have failed to solve the problem effectively s...

The production planning is an important problem in most of manufacturing systems in practice. Unlike many researches existing in literature, this problem encounters with great uncertainties in parameters and input data. In this paper, a single machine capacitated production planning problem is considered and a linear programming formulation is presented. The production costs are assumed to be u...

A common problem in robotic assembly is that of mating tightly fitting parts when the locations and the dimensions of the parts are somewhat uncertain. It is necessary to be able to reason about these uncertainties in conjunction with the geometry of the parts involved in order to develop motion plans for assembly operations. In this paper we will present a method for the treatment of three typ...