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A Novel Bicriteria Scheduling Heuristics Providing a Guaranteed Global System Failure Rate

A. Girault, H. Kalla
2009 IEEE Transactions on Dependable and Secure Computing  
We propose a new framework for the (length,reliability) bicriteria static multiprocessor scheduling problem.  ...  To solve this bicriteria optimization problem, we take the failure rate as a constraint, and we minimize the schedule length.  ...  and to Thomas McGowan for his English proficiency.  ... 
doi:10.1109/tdsc.2008.50 fatcat:jcyo2dmhwjd25hcdravz3et4jm

FlowFlex: Malleable Scheduling for Flows of MapReduce Jobs [chapter]

Viswanath Nagarajan, Joel Wolf, Andrey Balmin, Kirsten Hildrum
2013 Lecture Notes in Computer Science  
We employ resource augmentation analysis to provide bicriteria approximation algorithms for both minisum and minimax objective functions.  ...  As corollaries, we obtain approximation algorithms for total weighted completion time (and thus average completion time and average stretch), and for maximum weighted completion time (and thus makespan  ...  The precedence constrained malleable scheduling problem with linear speedup admits the following guarantees. • (2, 3)-bicriteria approximation algorithm for general minisum objectives. • (1, 2)-bicriteria  ... 
doi:10.1007/978-3-642-45065-5_6 fatcat:n6maqvcqdjhtfdcpmlviy2r6w4

Multiply Balanced k −Partitioning [chapter]

Amihood Amir, Jessica Ficler, Robert Krauthgamer, Liam Roditty, Oren Sar Shalom
2014 Lecture Notes in Computer Science  
We design bicriteria approximation algorithms for this problem, i.e., they partition the vertices into up to k parts that are nearly balanced simultaneously for all weight functions, and their approximation  ...  Our algorithm generalizes to d weight functions as follows: For vertex weights that are integers bounded by a polynomial in n and any fixed > 0, we obtain a (2d + , O(d √ log n log k))-bicriteria approximation  ...  Their algorithm uses an algorithm for the ρ−separator problem in order to achieve a (2, log n) bicriteria approximation with an exponential weight function.  ... 
doi:10.1007/978-3-642-54423-1_51 fatcat:epjpr36o3zdbrpdyei277ykff4

Sublogarithmic approximation for telephone multicast

Michael Elkin, Guy Kortsarz
2006 Journal of computer and system sciences (Print)  
In this paper we devise an O( log k log log k )-approximation algorithm for the k-multicast problem, and, consequently, an O( log n log log n )-approximation algorithm for the broadcast problem.  ...  Several approximation algorithms with a polylogarithmic ratio were suggested for these problems, and the upper bound on their approximation threshold stands currently on O(log k) and O(log n), respectively  ...  The depth-degree spanning tree problem admits an (O(log k/ log log k), O(log k/ log log k)) bicriteria approximation.  ... 
doi:10.1016/j.jcss.2005.12.002 fatcat:hyzp7w3hjrgkhl32izj7rdbv6a

Scheduling strategies for the bicriteria optimization of the robustness and makespan

Louis-Claude Canon, Emmanuel Jeannot
2008 Proceedings, International Parallel and Distributed Processing Symposium (IPDPS)  
In this paper we study the problem of scheduling a stochastic task graph with the objective of minimizing the makespan and maximizing the robustness.  ...  We compare these different strategies experimentally and show that we are able to find different approximations of the Pareto front of this bicriteria problem.  ...  In this paper we tackle the bicriteria problem of scheduling an application with the objective of minimizing the makespan and maximizing the robustness.  ... 
doi:10.1109/ipdps.2008.4536366 dblp:conf/ipps/CanonJ08 fatcat:yfgyc2fnmbbchfobcl522yr3oe

Compact location problems with budget and communication constraints [chapter]

S. O. Krumke, H. Noltemeier, S. S. Ravi, M. V. Marathe
1995 Lecture Notes in Computer Science  
We also present e cient approximation algorithms for several of the problems studied, when both edge{weight functions obey the triangle inequality.  ...  We show that in general obtaining an ( ; ){approximation for any xed ; 1 is NP{hard for any of these problems.  ...  We refer the reader to MR+95, RMR + 93] for a detailed survey of the work done in the area of algorithms for bicriteria network design and location theory problems.  ... 
doi:10.1007/bfb0030872 fatcat:j5h2ydjas5f4plgif7nfydfta4

An open shop approach in approximating optimal data transmission duration in WDM networks [article]

Timotheos Aslanidis, Stavros Birmpilis
2017 arXiv   pre-print
We have combined these variations and called the induced algorithm HSA (Hybridic Scheduling Algorithm).  ...  The problem of scheduling message packets through such a network is referred to as PBS and is known to be NP-Hard.  ...  In general, the problem is 4/3-ε inapproximable for all ε>0 as shown in [6] . The best guaranteed approximation ratio of any algorithm proposed for the problem is 1 2 d1 .  ... 
arXiv:1701.02030v1 fatcat:clluediyyzglzjcuwefbyq3w5u

Approximation Algorithms for the Traveling Purchaser Problem and Its Variants in Network Design [chapter]

R. Ravi, F. S. Salman
1999 Lecture Notes in Computer Science  
We g i v e an approximation algorithm with a poly-logarithmic worst-case ratio for the traveling purchaser problem with metric travel costs.  ...  For a special case of the problem that models the ring-star network design problem, we g i v e a constant-factor approximation algorithm. Our algorithms are based on rounding LP relaxation solutions.  ...  Hassin for proving the NP-hardness of the (A + T 1) problem and other helpful discussions. We also thank G. Konjevod for pointing out the direct reduction of TPP to a group Steiner tour problem.  ... 
doi:10.1007/3-540-48481-7_4 fatcat:yb57bgkwq5gerfew3j72dc5rru

Multichannel Scheduling and Spanning Trees: Throughput–Delay Tradeoff for Fast Data Collection in Sensor Networks

Amitabha Ghosh, Özlem Durmaz Incel, V. S. Anil Kumar, Bhaskar Krishnamachari
2011 IEEE/ACM Transactions on Networking  
To minimize the maximum delay subject to a given throughput bound, we also design an (α, β)bicriteria approximation algorithm to construct a Bounded-Degree Minimum-Radius Spanning Tree, with the radius  ...  Lastly, we evaluate the efficiency of our algorithms on different types of spanning trees, and show that multi-channel scheduling, combined with optimal routing topologies, can achieve the best of both  ...  The first bicriteria approximation algorithm on general graphs is proposed by Ravi et al.  ... 
doi:10.1109/tnet.2011.2146273 fatcat:vienqx3kjzgjhl4c3eecmxv4v4

Online Bicriteria Load Balancing for Distributed File Servers

Savio Tse
2007 2007 Second International Conference on Communications and Networking in China  
We propose two online approximate algorithms for balancing the load and required storage space of each server during document placement.  ...  The second algorithm is for theoretical purpose.  ...  ACKNOWLEDGEMENT We thank the anonymous referees for their very useful comments.  ... 
doi:10.1109/chinacom.2007.4469367 fatcat:2vr2pw3jynh2hijk5t5uc74oum

A Critical Improvement on Open Shop Scheduling Algorithm for Routing in Interconnection Networks

Stavros Birmpilis, Timotheos Aslanidis
2017 International Journal of Computer Networks & Communications  
The problem of scheduling message packets through such a network is referred to as PBS and is known to be NP-Hard.  ...  We have combined these variations and called the induced algorithmI_HSA (Improved Hybridic Scheduling Algorithm).  ...  of it, to minimize each criterion separately and combine the results to design an improved hybrid algorithm (I_HSA -Improved Hybridic Scheduling Algorithm),which will tackle the bicriteria problem efficiently  ... 
doi:10.5121/ijcnc.2017.9101 fatcat:k55ulpk375cxte7wp4vzbqqpnq

Advances in discrete optimization

Angelo Sifaleras, Konstantinos Paparrizos, Vladimir F. Demyanov
2013 Optimization  
Acknowledgments We would like to thank all the authors for their interest in our special issue and their excellent contributions.  ...  Andreas Löhne, who currently serve as Editor-in-Chief and Managing Editor respectively of Optimization for their valuable support and assistance, but also Professor Juan Enrique Martinez-Legaz and Dr.  ...  algorithm for linear programming problems.  ... 
doi:10.1080/02331934.2013.817072 fatcat:6oaqj4ien5e53epn7mgxgom24a

Joint sensing duty cycle scheduling for heterogeneous coverage guarantee

Kin Sum Liu, Tyler Mayer, Hao Tsung Yang, Esther Arkin, Jie Gao, Mayank Goswami, Matthew P. Johnson, Nirman Kumar, Shan Lin
2017 IEEE INFOCOM 2017 - IEEE Conference on Computer Communications  
We provide multiple algorithms with best approximation ratio of O(log n + log m) for the maximum number of sensors to turn on, and bi-criteria algorithm with (α, β)-approximation factors with high probability  ...  In this paper we study the following problem: given a set of m sensors that collectively cover a set of n target points with heterogeneous coverage requirements (target j needs to be covered every fj slots  ...  The algorithm gives a (qδ, β)-bicriteria approximation with high probability, where qβ = O(log(n) + log(m)), δ is the approximation ratio for the set multi-cover problem.  ... 
doi:10.1109/infocom.2017.8056961 dblp:conf/infocom/LiuMYAGGJKL17 fatcat:zoz7qdipsvafzfmt33b5zquube

A provably convergent heuristic for stochastic bicriteria integer programming

Walter J. Gutjahr
2008 Journal of Heuristics  
We propose a general-purpose algorithm APS (Adaptive Pareto-Sampling) for determining the set of Pareto-optimal solutions of bicriteria combinatorial optimization (CO) problems under uncertainty, where  ...  APS is iterative and population-based and combines random sampling with the solution of corresponding deterministic bicriteria CO problem instances.  ...  Proposition 4 . 1 . 41 For a bicriteria stochastic knapsack problem (15) with the properties • a i > 0 for all i, Fig. 3 . 3 Approximations to the Pareto front in Example 1 after 10, 100 and 300 iterations  ... 
doi:10.1007/s10732-008-9071-5 fatcat:iibqzbz2xbefpn5bnjfs552uyi

Balanced Graph Partitioning

Konstantin Andreev, Harald Racke
2006 Theory of Computing Systems  
We present a bicriteria polynomial time approximation algorithm with an O(log 2 n)-approximation for any constant ν > 1.  ...  For ν = 1 we show that no polytime approximation algorithm can guarantee a finite approximation ratio unless P = N P .  ...  We seek a bicriteria approximation algorithm for this problem; we compare the cost of an approximation algorithm to the cost of the optimum (k, 1)-balanced partitioning algorithm that has to output parts  ... 
doi:10.1007/s00224-006-1350-7 fatcat:j62uqospbvg5pgm5373e6xheea
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