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Earlier work has developed the underpinnings of the IC-Scheduling Theory, a framework for scheduling computations having intertask dependencies—modeled via directed acyclic graphs (DAGs)—for Internet-based computing. The goal of the schedules produced is to render tasks eligible for execution at the maximum possible rate, with the dual aim of 1) utilizing remote clients' computational resources well by always having work to allocate to an available client and 2) lessening the likelihood of a computation's stalling for lack of eligible tasks. The DAGs handled by the theory thus far are those that can be decomposed into a given collection of bipartite building block DAGs via the operation of DAG decomposition. A basic tool in constructing schedules is a relation ..., which allows one to "prioritize" the scheduling of a complex DAG's building blocks. The current paper extends the IC-Scheduling Theory in two ways: by expanding significantly the repertoire of DAGs that the Theory can schedule optimally and by allowing one sometimes to shortcut the algorithmic process required to find optimal schedules. The expanded repertoire now allows the theory to schedule optimally, among other DAGs, a large range of DAGs that are either "expansive," in the sense that they grow outward from their sources, or "reductive," in the sense that they grow inward toward their sinks. The algorithmic shortcuts allow one to "read off" an optimal schedule for a DAG from a given optimal schedule for the DAG's dual, which is obtained by reversing all arcs (thereby exchanging the roles of sources and sinks). [ABSTRACT FROM AUTHOR]

Structured peer-to-peer overlay networks, like distributed hash tables (DHTs), map data items to the network based on a consistent hashing function. Such mapping for data distribution has an inherent load balance problem. Data redistribution algorithms based on randomized matching of heavily loaded nodes with light ones can deal with the dynamics of DHTs. However, they are unable to consider the proximity of the nodes simultaneously. There are other methods that rely on auxiliary networks to facilitate locality-aware load redistribution. Due to the cost of network construction and maintenance, the locality-aware algorithms can hardly work for DHTs with churn. This paper presents a locality-aware randomized load-balancing algorithm to deal with both the proximity and network churn at the same time. We introduce a factor of randomness in the probing of lightly loaded nodes in a range of proximity. We further improve the efficiency by allowing the probing of multiple candidates (d-way) at a time. Simulation results show the superiority of the locality-aware two-way randomized algorithm in comparison with other random or locality-aware algorithms. In DHTs with churn, it performs no worse than the best churn-resilient algorithm. It takes advantage of node capacity heterogeneity and achieves good load balance effectively even in a skewed distribution of items. [ABSTRACT FROM AUTHOR]