I. Introduction
In recent years, industrial robots have been commonly installed in limited spaces to realize high-mix low-volume production. Therefore, it is essential to determine the optimal placement and posture of the robot arm to reduce the processing time and costs of transporting workpieces. Such a decision problem can be regarded as an optimization problem in which the placement and posture of the robot arm should be determined at the factory design stage to reduce work time and cost. The robot placement planning problem involves decisions on where and how to place a robot with obstacles such that a pick-and-place operation for a robot arm is ensured. This process is typically performed using specialized equipment or manual labor, with a system centered around robots. The robot is then placed in a work area that maximizes its capabilities, and peripheral equipment such as fixtures and conveyors are arranged to plan an efficient production system that meets these objectives [1]. This study considers the placement planning problem for a pick-place operation using a single six-axis robot arm.