@techreport{oai:ipsj.ixsq.nii.ac.jp:00213766, author = {Yoshihiro, Kaneko and Keisuke, Murase and Yoshihiro, Kaneko and Keisuke, Murase}, issue = {5}, month = {Nov}, note = {For a wireless sensor network WSN and its related models, we have so far considered routings, sink trajectories and so on. In this report, we deal with a wireless rechargeable sensor network WRSN model. There a mobile charger provides energy to some sensor nodes by power transfer technology. Usually, in a WRSN model, each sensor node is to start its operation under the same initial energy. The report does not assume such initial condition. That is, different energy levels of WRSN are provided in the middle of data transmission by routing on WSN. More precisely, which routing protocol on WSN is recommended that provides the shortest cycles of a mobile charger trajectory on its relevant WRSN. To this end, two familiar routing protocols LEACH and PEGASIS, a direct transmission and the shortest path-based routing are taken for comparison. Then after a WSN functions during some periods, a mobile charger leaves a base station and travels to some sensor nodes in order to refill them. For such timing, we take three energy conditions. Then we compare those routings for such travel length. As a result, simulation experiments say that direct transmission would work best. Our joint approach is expected to reconsider relationships between the original WSN and its generalized models. We aim ultimately at the renaissance of WSN models., For a wireless sensor network WSN and its related models, we have so far considered routings, sink trajectories and so on. In this report, we deal with a wireless rechargeable sensor network WRSN model. There a mobile charger provides energy to some sensor nodes by power transfer technology. Usually, in a WRSN model, each sensor node is to start its operation under the same initial energy. The report does not assume such initial condition. That is, different energy levels of WRSN are provided in the middle of data transmission by routing on WSN. More precisely, which routing protocol on WSN is recommended that provides the shortest cycles of a mobile charger trajectory on its relevant WRSN. To this end, two familiar routing protocols LEACH and PEGASIS, a direct transmission and the shortest path-based routing are taken for comparison. Then after a WSN functions during some periods, a mobile charger leaves a base station and travels to some sensor nodes in order to refill them. For such timing, we take three energy conditions. Then we compare those routings for such travel length. As a result, simulation experiments say that direct transmission would work best. Our joint approach is expected to reconsider relationships between the original WSN and its generalized models. We aim ultimately at the renaissance of WSN models.}, title = {Shortest cycles on a WRSN model provided by a WSN routing}, year = {2021} }