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تسجيل مستخدم جديدMemoryless Algorithms for the Generalized $k$-server Problem on Uniform Metrics
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Grigorios Koumoutsos
تاريخ النشر
2020
مجال البحث
الهندسة المعلوماتية
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English
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We consider the generalized $k$-server problem on uniform metrics. We study the power of memoryless algorithms and show tight bounds of $Theta(k!)$ on their competitive ratio. In particular we show that the textit{Harmonic Algorithm} achieves this competitive ratio and provide matching lower bounds. This improves the $approx 2^{2^k}$ doubly-exponential bound of Chiplunkar and Vishwanathan for the more general setting of uniform metrics with different weights.
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