Abstract
Space information networks (SINs) are responsible for communications, information processing, and earth observation. Traditional time-expanded graphs (TEG) cannot represent the observation, energy, and transceiver resources. Therefore, we propose the enhanced time-expanded graph (ETEG) to jointly model the resource elements of SINs. First, we utilize snapshot graphs to characterize the time-varying properties of the resources. Next, we introduce virtual links and nodes to enhance the TEG, which transforms the transceiver and observation resource constraints into normal capacity and flow conservation ones and simplifies the energy constraints. Then, the maximum flow algorithm is modified to optimally schedule the data flow in SIN. With the ETEG-based maximum flow algorithm, the resources can be jointly optimally scheduled. Finally, the simulation results demonstrate the efficiency and effectiveness of our ETEG.
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References
Sheng M, Zhou D, Liu R Z, et al. Resource mobility in space information networks: opportunities, challenges, and approaches. IEEE Netw, 2019, 33: 128–135
Du J, Jiang C X, Guo Q, et al. Cooperative earth observation through complex space information networks. IEEE Wirel Commun, 2016, 23: 136–144
Zhang T, Li J D, Li H Y, et al. Application of time-varying graph theory over the space information networks. IEEE Netw, 2020, 34: 179–185
Jiang C X, Wang X X, Wang J, et al. Security in space information networks. IEEE Commun Mag, 2015, 53: 82–88
Fortz B, Rexford J, Thorup M. Traffic engineering with traditional IP routing protocols. IEEE Commun Mag, 2002, 40: 118–124
Guerin R A, Orda A, Williams D. QoS routing mechanisms and OSPF extensions. In: Proceedings of IEEE Global Telecommunications Conference, Phoenix, 1997. 1903–1908
Liu R Z, Sheng M, Lui K S, et al. An analytical framework for resource-limited small satellite networks. IEEE Commun Lett, 2016, 20: 388–391
Zhou D, Sheng M, Wang X J, et al. Mission aware contact plan design in resource-limited small satellite networks. IEEE Trans Commun, 2017, 65: 2451–2466
Wang Y, Sheng M, Zhuang W H, et al. Multi-resource coordinate scheduling for earth observation in space information networks. IEEE J Sel Areas Commun, 2018, 36: 268–279
Huang J H, Su Y X, Huang L, et al. An optimized snapshot division strategy for satellite network in GNSS. IEEE Commun Lett, 2016, 20: 2406–2409
Shi K Y, Zhang X S, Zhang S, et al. Time-expanded graph based energy-efficient delay-bounded multicast over satellite networks. IEEE Trans Veh Technol, 2020, 69: 10380–10384
Wang P, Zhang X S, Zhang S, et al. Time-expanded graph-based resource allocation over the satellite networks. IEEE Wirel Commun Lett, 2019, 8: 360–363
Jiang C X, Zhu X M. Reinforcement learning based capacity management in multi-layer satellite networks. IEEE Trans Wirel Commun, 2020, 19: 4685–4699
George B, Shekhar S. Time-aggregated graphs for modeling spatio-temporal networks. In: Proceedings of Time-Aggregated Graphs for Modeling Spatio-Temporal Networks, 2006. 85–99
Li H Y, Zhang T, Zhang Y K, et al. A maximum flow algorithm based on storage time aggregated graph for delay-tolerant networks. Ad Hoc Netw, 2017, 59: 63–70
Zhang T, Li H Y, Zhang S, et al. STAG-based QoS support routing strategy for multiple missions over the satellite networks. IEEE Trans Commun, 2019, 67: 6912–6924
Zhang T, Li H Y, Li J D, et al. A dynamic combined flow algorithm for the two-commodity max-flow problem over delay-tolerant networks. IEEE Trans Wirel Commun, 2018, 17: 7879–7893
Zhang Z Q, Jiang C X, Guo S, et al. Temporal centrality-balanced traffic management for space satellite networks. IEEE Trans Veh Technol, 2018, 67: 4427–4439
Goldberg A V, Tarjan R E. Efficient maximum flow algorithms. Commun ACM, 2014, 57: 82–89
Li P Y, Li J D, Li H Y, et al. Graph based task scheduling algorithm for earth observation satellites. In: Proceedings of IEEE Global Communications Conference, Abu Dhabi, 2018
Ravindra K A, Thomas L M, James B O, Network flows — theory, algorithms and applications. J Oper Res Soc, 1993, 45: 791–796
Chen X J, Wan J X. Development status and proposals for multi-beam antennas of communication satellites. Space Elect Technol, 2016, 2: 54–60
Ren J Q, Zhou H G, Zhou N, et al. Application of phased array anttena and fixed multibeam antennna in communications satellite systems. Space Int, 2015, 11: 55–60
Ford L R J, Fulkerson D R. Constructing maximal dynamic flows from static flows. Oper Res, 1958, 6: 419–433
Yang Y, Xu M W, Wang D, et al. Towards energy-efficient routing in satellite networks. IEEE J Sel Areas Commun, 2016, 34: 3869–3886
Tian Y R, Lu X C, Huang F J. Design and performance analysis of inter-satellite link in multilayer satellite network (in Chinese). J Time Freq, 2010, 33: 140–145
Diamond S, Boyd S. CVXPY: a python-embedded modeling language for convex optimization. J of Machi Lear Res, 2016, 17: 1–5
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This work was supported by National Natural Science Foundation of China (Grant No. 61871456).
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Li, J., Wang, P., Li, H. et al. Enhanced time-expanded graph for space information network modeling. Sci. China Inf. Sci. 65, 192301 (2022). https://doi.org/10.1007/s11432-020-3202-2
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DOI: https://doi.org/10.1007/s11432-020-3202-2