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Fairness is an important property of computer networks and systems. In a wide range of these systems such as distributed multi-hop wireless networks, multihomed networks, and cloud computing, each user may be allocated a number of system resources; this resembles a many-to-many relationship between the sets of users and resources, which raises the problem of system-wide fair resource allocation. In this paper, we assume that each user/node can be allocated a number of resources, which could be either in its neighborhood or far from it. As a key difference with previous works and through incorporating the concept of “flow”, we model near/far resources allocated to nodes. To attain fair flow control in such systems, first we model this situation by introducing a new multi-server system called multi-ring, in which a server that represents a resource, can serve only a subset of either neighboring or far nodes in the system. Then, we define a centralized optimization problem to attain weighted proportional fairness among all nodes meaning that the sum of allocated capacities from all servers to each node (while considering its flow) is fair. We evaluate fairness properties of multi-ring networks and provide conditions on system parameters under which a system can have a fair resource allocation. Moreover, we present a distributed method to attain fairness in distributed environments, and its stability/convergence is evaluated by non-linear discrete dynamical systems. We present conditions under which the system is stable, and through numerical analysis, we show how to obtain stable system parameters for large systems. The effectiveness of the presented method is studied through extensive numerical evaluation. Results show the success of our method in attaining fairness for various topologies and system parameters, and confirm our stability analysis. A number of systems with fairness issues are also studied as potential applications of our model. [ABSTRACT FROM AUTHOR]

In this paper, we propose a general framework of the iterative local solution (ILS) for computing a connected dominating set (CDS) in ad hoc wireless networks, which include mobile ad hoc networks (MANETS) and wireless sensor networks (WSNs). This approach uses an iterative application of a selected local solution. Each application of the local solution enhances the result obtained from the previous iteration, but each is based on a different node priority scheme. Then, we integrate this iterative process into the process for handling a dynamic network topology and propose two extensions: cyclic iterative local solution (CILS) and seamless iterative local solution (SILS). CILS offers a natural extension of ILS to the dynamic environment but suffers from a broken CDS and nonadaptiveness. With a novel use of a monotonically increasing sequence number for dynamic node priority, SILS offers an extension with the desirable properties of correctness, progressiveness, locality, and seamlessness. Extensive simulations are conducted under ns-2 and a custom simulator to evaluate the effectiveness of the proposed approach in both static and dynamic environments. [ABSTRACT FROM AUTHOR]

In this paper, we propose load distribution strategies for divisible loads for networked computing environments where computation and communication resource characteristics are unknown and/or vary with time. The principle on which our strategies are formulated is based on using probing loads to estimate the network characteristics and using them to determine the best possible load distribution. This work extends the adaptive strategies proposed in an earlier work to multilevel general networks. These networks, while being more challenging, also offer several opportunities that can be exploited to make the probing phase more efficient. We propose two strategies, one static, which caters to the presence of unknown parameters, and the other dynamic, which caters to both unknown as well as time-varying network parameters. The proposed strategies are robust, resilient, and easily adaptable to network fluctuations. The algorithms are also shown to have a tracking ability, a property that is important in dynamic environments. Examples are presented to illustrate the salient features of these strategies. [ABSTRACT FROM AUTHOR]

Alternating group graphs AGn, studied by Jwo and others, Constitute a class of Cayley graphs that possess certain desirable properties compared with other regular networks considered by researchers in parallel and distributed computing. A different form, ANn, of such graphs, proposed by Youhou and dubbed alternating group networks, has been shown to possess advantages over AGn. For example, ANn has a node degree that is smaller by a factor of about 2 while maintaining a diameter comparable to that of AGn, is maximally fault-tolerant, and shares some of the positive structural attributes of the well-known star graph. In this paper, we characterize the distance between any two nodes in ANn and present an optimal (shortest-path) routing algorithm for this class of networks. [ABSTRACT FROM AUTHOR]