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15
Competitive Distributed File Allocation
, 1993
"... This paper deals with the file allocation problem [BFR92] concerning the dynamic optimization of communication costs to access data in a distributed environment. We develop a dynamic file reallocation strategy that adapts online to a sequence of read and write requests whose location and relative ..."
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Cited by 110 (12 self)
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This paper deals with the file allocation problem [BFR92] concerning the dynamic optimization of communication costs to access data in a distributed environment. We develop a dynamic file reallocation strategy that adapts online to a sequence of read and write requests whose location and relative frequencies are completely unpredictable. This is achieved by replicating the file in response to read requests and migrating the file in response to write requests while paying the associated communications costs, so as to be closer to processors that access it frequently. We develop first explicit deterministic online strategy assuming existence of global information about the state of the network; previous (deterministic) solutions were complicated and more expensive. Our solution has (optimal) logarithmic competitive ratio. The paper also contains the first explicit deterministic data migration [BS89] algorithm achieving the best known competitive ratio for this problem. Using somewhat ...
Simpler and better approximation algorithms for network design
 STOC'03
, 2003
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Distributed Paging for General Networks
, 1996
"... Distributed paging [BFR92, ABF93b, AK95] deals with the dynamic allocation of copies of files in a distributed network as to minimize the total communication cost over a sequence of read and write requests. Most previous work deals with the file allocation problem [BS89, West91, CLRW93, ABF93a, ..."
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Cited by 62 (5 self)
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Distributed paging [BFR92, ABF93b, AK95] deals with the dynamic allocation of copies of files in a distributed network as to minimize the total communication cost over a sequence of read and write requests. Most previous work deals with the file allocation problem [BS89, West91, CLRW93, ABF93a, WY93, Koga93, AK94, LRWY94] where infinite nodal memory capacity is assumed. In contrast the distributed paging problem makes the more realistic assumption that nodal memory capacity is limited. Former work on distributed paging deals with the problem only in the case of a uniform network topology. This paper gives the first distributed paging algorithm for general networks. The algorithm is competitive in storage and communication. The competitive ratios are polylogarithmic in the total number of network nodes and the diameter of the network. Johns Hopkins University and Lab. for Computer Science, MIT. Supported by Air Force Contract TNDGAFOSR860078, ARO contract DAAL0386K0171, NSF contract 9114440CCR, DARPA contract N00014J 921799, and a special grant from IBM. EMail: baruch@theory.lcs.mit.edu. y Department of Computer Science, School of Mathematics, TelAviv University, TelAviv 69978, Israel. Supported by a grant from the Israeli Academy of Sciences. Email: yairb@math.tau.ac.il, fiat@math.tau.ac.il 0 1
Online Generalized Steiner Problem
, 1996
"... The Generalized Steiner Problem (GSP) is defined as follows. We are given a graph with nonnegative weights and a set of pairs of vertices. The algorithm has to construct minimum weight subgraph such that the two nodes of each pair are connected by a path. Offline generalized Steiner problem ap ..."
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Cited by 51 (5 self)
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The Generalized Steiner Problem (GSP) is defined as follows. We are given a graph with nonnegative weights and a set of pairs of vertices. The algorithm has to construct minimum weight subgraph such that the two nodes of each pair are connected by a path. Offline generalized Steiner problem approximation algorithms were given in [AKR91, GW92]. We consider the online generalized Steiner problem, in which pairs of vertices arrive online and are needed to be connected immediately. We give a simple O(log² n) competitive deterministic online algorithm. The previous best algorithm was O( p n log n) competitive [WY93]. We also consider the network connectivity leasing problem which is a generalization of the GSP. Here edges of the graph can be either bought or leased for different costs. We provide simple randomized O(log² n) competitive algorithm based on the online generalized Steiner problem result.
Approximation via costsharing: a simple approximation algorithm for the multicommodity rentorbuy problem
 In IEEE Symposium on Foundations of Computer Science (FOCS
, 2003
"... We study the multicommodity rentorbuy problem, a type of network design problem with economies of scale. In this problem, capacity on an edge can be rented, with cost incurred on a perunit of capacity basis, or bought, which allows unlimited use after payment of a large fixed cost. Given a graph ..."
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Cited by 48 (8 self)
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We study the multicommodity rentorbuy problem, a type of network design problem with economies of scale. In this problem, capacity on an edge can be rented, with cost incurred on a perunit of capacity basis, or bought, which allows unlimited use after payment of a large fixed cost. Given a graph and a set of sourcesink pairs, we seek a minimumcost way of installing sufficient capacity on edges so that a prescribed amount of flow can be sent simultaneously from each source to the corresponding sink. The first constantfactor approximation algorithm for this problem was recently given by Kumar et al. (FOCS ’02); however, this algorithm and its analysis are both quite complicated, and its performance guarantee is extremely large. In this paper, we give a conceptually simple 12approximation algorithm for this problem. Our analysis of this algorithm makes crucial use of cost sharing, the task of allocating the cost of an object to many users of the object in a “fair ” manner. While techniques from approximation algorithms have recently yielded new progress on cost sharing problems, our work is the first to show the converse— that ideas from cost sharing can be fruitfully applied in the design and analysis of approximation algorithms. 1
Fast Distributed Network Decompositions and Covers
 Journal of Parallel and Distributed Computing
, 1996
"... This paper presents deterministic sublineartime distributed algorithms for network decomposition and for constructing a sparse neighborhood cover of a network. The latter construction leads to improved distributed preprocessing time for a number of distributed algorithms, including allpairs shorte ..."
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Cited by 29 (4 self)
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This paper presents deterministic sublineartime distributed algorithms for network decomposition and for constructing a sparse neighborhood cover of a network. The latter construction leads to improved distributed preprocessing time for a number of distributed algorithms, including allpairs shortest paths computation, load balancing, broadcast, and bandwidth management. A preliminary version of this paper appeared in the Proceedings of the Eleventh Annual ACM Symposium on the Principles of Distributed Computing. y Lab. for Computer Science, MIT, Cambridge, MA 02139. Supported by Air Force Contract AFOSR F4962092J0125, NSF contract 9114440CCR, DARPA contracts N0001491J1698 and N00014J921799, and a special grant from IBM. z Dept. of Mathematics and Lab. for Computer Science, MIT. Supported in part by an NSF Postdoctoral Research Fellowship and an ONR grant provided to the Radcliffe Bunting Institute. x Dept. of Math Sciences, Johns Hopkins University, Baltimore, MD 21...
Dump: Competitive Distributed Paging
, 1993
"... This paper gives a randomized competitive distributed paging algorithm called Heat & Dump. The competitive ratio is logarithmic in the total storage capacity of the network, this is optimal to within a constant factor. This is in contrast to the linear optimal deterministic competitive ratio ..."
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Cited by 18 (4 self)
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This paper gives a randomized competitive distributed paging algorithm called Heat & Dump. The competitive ratio is logarithmic in the total storage capacity of the network, this is optimal to within a constant factor. This is in contrast to the linear optimal deterministic competitive ratio [BFR92]. 1 Introduction The basic paradigm: Distributed Virtual Memory. Virtual addressing has the advantage that the physical address is separate from the logical address [KELS62]. Briefly, the name of a memory item is decoupled from its physical location in memory; moreover, physical location may dynamically change in the runtime. With the appearance of the massively parallel machines in the 1980s, it was natural to extend the virtual memory concept from the traditional uniprocessor to distributed sharedmemory environment. In other words, the programmer can use the convenient Parallel Random Access Machine (PRAM) abstraction to write the program, which will be then compiled automatically ...
Modular Competitiveness for Distributed Algorithms
 In Proc. 28th ACM Symp. on Theory of Computing (STOC
, 2000
"... We define a novel measure of competitive performance for distributed algorithms based on throughput, the number of tasks that an algorithm can carry out in a fixed amount of work. This new measure complements the latency measure of Ajtai et al. [3], which measures how quickly an algorithm can finish ..."
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Cited by 14 (2 self)
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We define a novel measure of competitive performance for distributed algorithms based on throughput, the number of tasks that an algorithm can carry out in a fixed amount of work. This new measure complements the latency measure of Ajtai et al. [3], which measures how quickly an algorithm can finish tasks that start at specified times. An important property of the throughput measure is that it is modular: we define a notion of relative competitiveness with the property that a krelatively competitive implementation of an object T using a subroutine U , combined with an lcompetitive implementation of U , gives a klcompetitive algorithm for ...
COST SHARING AND APPROXIMATION
, 2005
"... Central to this thesis are problems in which a group of users can benet from building and jointly using some kind of infrastructure, be it a set of supply depots, service stations, or a communication or transportation network. We study two important questions related to these kinds of scenarios: (1) ..."
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Cited by 5 (1 self)
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Central to this thesis are problems in which a group of users can benet from building and jointly using some kind of infrastructure, be it a set of supply depots, service stations, or a communication or transportation network. We study two important questions related to these kinds of scenarios: (1) how to build the shared facility that satises the needs of a given set of users in a costeective way, and (2) how to split the cost of the shared facility among the participating users in a fair and reasonable way. In the rst part of the thesis, we seek to design cost sharing functions with desirable gametheoretic properties. We are looking for cost sharing functions that are fair, and encourage cooperation among users. This is captured in the notion of crossmonotonicity: it says that a cost share of any user should never increase as more people join the system, and never decrease when players leave. Towards this end, we develop a new technique to generate such crossmonotonic cost shares using a primaldual type process, and use it to design crossmonotonic cost shares for several NPhard optimization problems.
Compositional Competitiveness for Distributed Algorithms
, 2004
"... We define a measure of competitive performance for distributed algorithms based on throughput, the number of tasks that an algorithm can carry out in a fixed amount of work. This new measure complements the latency measure of Ajtai et al. [3], which measures how quickly an algorithm can finish tasks ..."
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Cited by 1 (0 self)
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We define a measure of competitive performance for distributed algorithms based on throughput, the number of tasks that an algorithm can carry out in a fixed amount of work. This new measure complements the latency measure of Ajtai et al. [3], which measures how quickly an algorithm can finish tasks that start at specified times. The novel feature of the throughput measure, which distinguishes it from the latency measure, is that it is compositional: it supports a notion of algorithms that are competitive relative to a class of subroutines, with the property that an algorithm that is kcompetitive relative to a class of subroutines, combined with an ℓcompetitive member of that class, gives a combined algorithm that is kℓcompetitive. In particular, we prove the throughputcompetitiveness of a class of algorithms for collect operations, in which each of a group of n processes obtains all values stored in an array of n registers. Collects are a fundamental building block of a wide variety of sharedmemory distributed algorithms, and we show that several such algorithms are competitive relative to collects. Inserting a competitive collect in these algorithms gives the first examples of competitive distributed algorithms obtained by composition using a general construction. An earlier version of this work appeared as “Modular competitiveness for distributed