On the Complexity of Motion Planning for Multiple Independent Objects; Pspace Hardness of the "warehouseman's Problem"

This technical report examines the computational complexity of motion planning algorithms, specifically focusing on the scenario involving multiple independent objects. The central result demonstrates the Pspace hardness of the "warehouseman's problem," a classic challenge in robotics and computational geometry. "On the Complexity of Motion Planning for Multiple Independent Objects" provides a detailed analysis of the algorithmic challenges inherent in coordinating the movement of multiple objects through a constrained space. This report is essential reading for researchers and practitioners in robotics, artificial intelligence, and theoretical computer science, offering foundational insights into the limits of efficient motion planning.

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