Abstract
This paper presents an efficient algorithm for minimizing a certain class of submodular functions that arise in analysis of multiclass queueing systems. In particular, the algorithm can be used for testing whether a given multiclass M/M/1 achieves an expected performance by an appropriate control policy. With the aid of the topological sweeping method for line arrangement, our algorithm runs in O(n 2) time, where n is the cardinality of the ground set. This is much faster than direct applications of general submodular function minimization algorithms.
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Itoko, T., Iwata, S. (2007). Computational Geometric Approach to Submodular Function Minimization for Multiclass Queueing Systems. In: Fischetti, M., Williamson, D.P. (eds) Integer Programming and Combinatorial Optimization. IPCO 2007. Lecture Notes in Computer Science, vol 4513. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72792-7_21
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DOI: https://doi.org/10.1007/978-3-540-72792-7_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72791-0
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