  This paper introduces the Trochoid Search Optimization Algorithm (TSO), a
novel metaheuristic leveraging the mathematical properties of trochoid curves.
The TSO algorithm employs a unique combination of simultaneous translational
and rotational motions inherent in trochoids, fostering a refined equilibrium
between explorative and exploitative search capabilities. Notably, TSO consists
of two pivotal phases global and local search that collectively contribute to
its efficiency and efficacy. Experimental validation demonstrates the TSO
algorithm's remarkable performance across various benchmark functions,
showcasing its competitive edge in balancing exploration and exploitation
within the search space. A distinguishing feature of TSO lies in its
simplicity, marked by a minimal requirement for user-defined parameters, making
it an accessible yet powerful optimization tool.
