@techreport{oai:ipsj.ixsq.nii.ac.jp:00217776, author = {Kevin, Buchin and Paola, Flocchini and Irina, Kostitsyna and Tom, Peters and Nicola, Santoro and 和田, 幸一 and Kevin, Buchin and Paola, Flocchini and Irina, Kostitsyna and Tom, Peters and Nicola, Santoro and Koichi, Wada}, issue = {13}, month = {May}, note = {本稿では二次元平面上を LCM (Look-Compute-Move)-サイクルで動作する自律分散ロボット群の計算能力を議論する.4 つの異 なるモデル (OBLOT , FSTA, FCOM, LUMI) のもとでアルゴリズムの観点からロボットの計算能力が議論されているが,これまではロボットは無尽蔵なエネルギーが仮定されていた.本稿では,無尽蔵の仮定を取り去り,エネルギーが制限されたロボット群の計算能力を議論する.エネルギーが制限されたロボットに対して,ロボットの記憶能力と通信能力がその計算能力与える影響を完全に解明する.特に,LUMI においては,エネルギー制限がロボットの計算能力には影響しないことを示し,他の 3 つのモデルにおいては,エネルギー制限がロボットの計算能力を高めるという(一見直感には反する)ことを示す., We consider distributed systems of identical autonomous computational entities, called robots, moving and operating in the plane in synchronous Look-Compute-Move (LCM) cycles. The algorithmic capabilities of these systems have been extensively investigated in the literature under four distinct models (OBLOT , FSTA, FCOM, LUMI), each identifying different levels of memory persistence and communication capabilities of the robots. Despite their differences, they all always assume that robots have unlimited amounts of energy. In this paper, we remove this assumption and start the study of the computational capabilities of robots whose energy is limited, albeit renewable. We first study the impact that memory persistence and communication capabilities have on the computational power of such energy-constrained systems of robots; we do so by analyzing the computational relationship between the four models under this energy constraint. We provide a complete characterization of this relationship. We then study the difference in computational power caused by the energy restriction and provide a complete characterization of the relationship between energy–constrained and unrestricted robots in each model. We prove that within LUMI there is no difference; an integral part of the proof is the design and analysis of an algorithm that in LUMI allows energy-constrained robots to execute correctly any proto col for robots with unlimited energy. We then show the (apparently counterintuitive) result that in all other models, the energy constraint actually provides the robots with a computational advantage.}, title = {エネルギーが制限された自律分散ロボット:その計算能力とクロスモデル解析}, year = {2022} }