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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 network on chips (NoCs) design, reconfiguration of NoC is a very effective option for minimizing power consumption, and Gaussian networks can provide significant advantage over the mesh networks in terms of network diameter, average hop distance and so on. In this paper, based on the special topology structure and the static connection rules within Gaussian networks, we present the reconfiguration representation for Gaussian networks and the nature of reconfigurable Gaussian networks. Furthermore, reconfigurable rules of Gaussian networks are proposed to design the constraints for automatic reconfiguration of NoC. [ABSTRACT FROM PUBLISHER]

Networks-on-chip (NoCs) have been increasingly adopted in recent years due to the extensive integration of many components in modern multicore processors and system-on-chip designs. At the same time, transistor reliability is becoming a major concern due to the continuous scaling of silicon. As the sole medium of on-chip communication, it is critical for a NoC to be able to tolerate many permanent transistor failures. In this paper, we propose uDIREC, a unified framework for permanent fault diagnosis and subsequent reconfiguration in NoCs, which provides graceful performance degradation with an increasing number of faults. Upon in-field transistor failures, uDIREC leverages a fine-resolution diagnosis mechanism to disable faulty components very sparingly. At its core, uDIREC employs MOUNT, a novel routing algorithm to find reliable and deadlock-free routes that utilize all the still-functional links in the NoC. We implement uDIREC's reconfiguration as a truly-distributed hardware solution, still keeping the area overhead at a minimum. We also propose a software-implemented reconfiguration that provides greater integration with our software-based diagnosis scheme, at the cost of distributed nature of implementation. Regardless of the adopted implementation scheme, uDIREC places no restriction on topology, router architecture and number and location of faults. Experimental results show that uDIREC, implemented in a 64-node NoC, drops 3 $\times$ fewer nodes and provides greater than 25 percent throughput improvement (beyond 15 faults) when compared to other state-of-the-art fault-tolerance solutions. uDIREC's improvement over prior-art grows further with more faults, making it a effective NoC reliability solution for a wide range of fault rates. [ABSTRACT FROM AUTHOR]