תקציר
We consider a multi-level aggregation problem in a weighted rooted tree, studied recently by Bienkowski et al. [7]. In this problem requests arrive over time at the nodes of the tree, and each request specifies a deadline. A request is served by sending it to the root before its deadline at a cost equal to the weight of the path from the node in which it resides to the root. However, requests from different nodes can be aggregated, and served together, so as to save on cost. The cost of serving an aggregated set of requests is equal to the weight of the subtree spanning the nodes in which the requests reside. Thus, the problem is to find a competitive online aggregation algorithm that minimizes the total cost of the aggregated requests. This problem arises naturally in many scenarios, including multicasting, supply- chain management and sensor networks. It is also related to the well studied TCP-acknowledgement problem and the online joint replenishment problem. We present an online O(D)-competitive algorithm for the problem, where D is the depth, or number of levels, of the aggregation tree. This result improves upon the D22D- competitive algorithm obtained recently by Bienkowski et al. [7].
שפה מקורית | אנגלית |
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כותר פרסום המארח | 28th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2017 |
עורכים | Philip N. Klein |
מוציא לאור | Association for Computing Machinery |
עמודים | 1235-1244 |
מספר עמודים | 10 |
מסת"ב (אלקטרוני) | 9781611974782 |
מזהי עצם דיגיטלי (DOIs) | |
סטטוס פרסום | פורסם - 2017 |
אירוע | 28th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2017 - Barcelona, ספרד משך הזמן: 16 ינו׳ 2017 → 19 ינו׳ 2017 |
סדרות פרסומים
שם | Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms |
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כרך | 0 |
כנס
כנס | 28th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2017 |
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מדינה/אזור | ספרד |
עיר | Barcelona |
תקופה | 16/01/17 → 19/01/17 |
הערה ביבליוגרפית
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