{"title":"Lifetime Maximization in Wireless Ad Hoc Networks with Network Coding and Matrix Game","authors":"Jain-Shing Liu","volume":79,"journal":"International Journal of Electronics and Communication Engineering","pagesStart":824,"pagesEnd":829,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/16259","abstract":"In this paper, we present a matrix game-theoretic cross-layer optimization formulation to maximize the network lifetime in wireless ad hoc networks with network coding. To this end, we introduce a cross-layer formulation of general NUM (network utility maximization) that accommodates routing, scheduling, and stream control from different layers in the coded networks. Specifically, for the scheduling problem and then the objective function involved, we develop a matrix game with the strategy sets of the players corresponding to hyperlinks and transmission modes, and design the payoffs specific to the lifetime. In particular, with the inherit merit that matrix game can be solved with linear programming, our cross-layer programming formulation can benefit from both game-based and NUM-based approaches at the same time by cooperating the programming model for the matrix game with that for the other layers in a consistent framework. Finally, our numerical example demonstrates its performance results on a well-known wireless butterfly network to verify the cross-layer optimization scheme.","references":"
[1] Jae-Hwan Chang and L. Tassiulas. Maximum lifetime routing in wireless\r\nsensor networks. IEEE\/ACM Transactions on Networking, 12(4):609 –\r\n619, aug. 2004.\r\n[2] R.L. Cruz and A.V. Santhanam. Optimal routing, link scheduling and\r\npower control in multihop wireless networks. In Proceedings of IEEE\r\nINFOCOM 2003, volume 1, pages 702 – 711 vol.1, march, 2003.\r\n[3] R. Madan, S. Cui, S. Lal, and A. Goldsmith. Cross-layer design for\r\nlifetime maximization in interference-limited wireless sensor networks.\r\nIEEE Transactions on Wireless Communications, 5(11):3142 –3152,\r\nnovember 2006.\r\n[4] R. Banner and A. Orda. Bottleneck routing games in communication\r\nnetworks. IEEE Journal on Selected Areas in Communications,\r\n25(6):1173–1179, Aug. 2007.\r\n[5] R. Ahlswede, N. Cai, S.-Y. R. Li, and R. W. Yeung. Network information\r\nflow. IEEE Transactions on Information Theory, 46:1204–1216, 2000.\r\n[6] J. Price and T. Javidi. Network coding games with unicast flows. IEEE\r\nJournal on Selected Areas in Communications, 26(7):1302–1316, Sep.\r\n2008.\r\n[7] X. B. Liang. Matrix games in the multicast networks: maximum\r\ninformation flows with network switching. IEEE Transactions on\r\nInfromation Theory, 52(6):2433–2466, June 2006.\r\n[8] E. Karami and S. Glisic. Joint optimization of scheduling and routing in\r\nmulticast wireless ad hoc networks using soft graph coloring and\r\nnonlinear cubic games. IEEE Transactions on Vehicular Technology,\r\n60(7):3350–3359, Sept. 2011.\r\n[9] J. von Neumann and O. Morgenstern. Theory of games and economic\r\nbehavior. Princeton University Press, 1944.\r\n[10] J. C. C. McKinsey. Introduction to the theory of game. RAND\r\nCorporation, 1952.\r\n[11] T. Ho and D. S. Lun. Network coding: an introduction. Cambridge\r\nUniversity Press, 2008.<\/p>\r\n","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 79, 2013"}