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رنگآمیزی گروندی خود تثبیتکننده با استفاده از نظریه بازیها و یافتار مرتبسازی | ||
پدافند الکترونیکی و سایبری | ||
مقاله 5، دوره 6، شماره 2 - شماره پیاپی 22، مرداد 1397، صفحه 39-48 اصل مقاله (1.03 M) | ||
نوع مقاله: مقاله پژوهشی | ||
نویسندگان | ||
سید محمود طاهری* ؛ حسن حیدری | ||
دانشگاه تهران | ||
تاریخ دریافت: 01 اردیبهشت 1396، تاریخ بازنگری: 01 اسفند 1397، تاریخ پذیرش: 28 شهریور 1397 | ||
چکیده | ||
خرابی گذرا در سیستمهای توزیعشده در شرایط مختلفی مانند خرابی پردازهها و حملههای امنیتی رخ میدهد. یک الگوریتم خود تثبیتکننده با شروع از هر حالت دلخواه، در زمان متناهی به حالت قانونی میرسد و در مقابل خرابی گذرا مقاوم است. در این مقاله، نخست، برای مسئلۀ رنگآمیزی گروندی، اولین الگوریتم قطعی خود تثبیتکننده مبتنی بر نظریه بازیها را ارائه میکنیم. در این الگوریتم، که از قابلیت اجرا روی شبکههای ناشناس برخوردار است، برای کاهش تعداد رنگهای مصرفی، از یافتارهای مرتبسازی استفاده میکنیم. با بهکارگیری تعادل نش، ثابت میکنیم که الگوریتم روی شبح مرکزی با پیچیدگی زمانی O(m) به رنگآمیزی گروندی همگرا میشود که در آن m تعداد یالهای شبکه است. نتایج شبیهسازی روی شبکههای مستقل از مقیاس، شبکههای تصادفی و شبکههای دنیای کوچک حاکی از آن است که بهکارگیری یافتارهای مرتبسازی نسبت به عدم استفاده از آنها موجب کاهش تعداد رنگها تا 18% و بهبود سرعت همگرایی به جواب تا 5% میگردد. | ||
کلیدواژهها | ||
خرابی گذرا؛ امنیت شبکه؛ شبح مرکزی؛ تعادل نش؛ سیستم توزیعشده ناشناس | ||
عنوان مقاله [English] | ||
Self-stabilizing Grundy Coloring Using Game Theory and Heuristics Ordering | ||
نویسندگان [English] | ||
Seyyed Mahmoud Taheri؛ Hassan Heydari | ||
چکیده [English] | ||
Transient faults in distributed systems can be occurred in many situations like process failure and security attacks. A self-stabilizing algorithm, regardless of the initial state, converges in finite time to legitimate states and tolerates transient faults. In this paper, we propose a self-stabilizing Grundy coloring using some concepts/results in the game theory. The proposed algorithm deals with autonomous networks, where nodes do not have identifiers. By using Nash equilibrium, we prove our proposed algorithm converges in O(m) moves, where m is the number of network edges. Simulation results indicate that heuristics ordering leads to decrease the number of colors up to 18% and increase the Convergence up to 5%. | ||
کلیدواژهها [English] | ||
Transient Fault, Network Security, Centralized Daemon, Nash Equilibrium, Autonomous Distributed System | ||
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