Algorithms For Extracting Timeliness Graphs

We consider asynchronous message-passing systems in which some links are timely and processes may crash. Each run defines a timeliness graph among correct processes: (p; q) is an edge of the timeliness graph if the link from p to q is timely (that is, there is bound on communication delays from p to q). The main goal of this paper is to approximate this timeliness graph by graphs having some properties (such as being trees, rings, ...). Given a family S of graphs, for runs such that the timeliness graph contains at least one graph in S then using an extraction algorithm, each correct process has to converge to the same graph in S that is, in a precise sense, an approximation of the timeliness graph of the run. For example, if the timeliness graph contains a ring, then using an extraction algorithm, all correct processes eventually converge to the same ring and in this ring all nodes will be correct processes and all links will be timely. We first present a general extraction algorithm and then a more specific extraction algorithm that is communication efficient (i.e., eventually all the messages of the extraction algorithm use only links of the extracted graph)

Parallel Architectures for Planetary Exploration Requirements (PAPER)

The Parallel Architectures for Planetary Exploration Requirements (PAPER) project is essentially research oriented towards technology insertion issues for NASA's unmanned planetary probes. It was initiated to complement and augment the long-term efforts for space exploration with particular reference to NASA/LaRC's (NASA Langley Research Center) research needs for planetary exploration missions of the mid and late 1990s. The requirements for space missions as given in the somewhat dated Advanced Information Processing Systems (AIPS) requirements document are contrasted with the new requirements from JPL/Caltech involving sensor data capture and scene analysis. It is shown that more stringent requirements have arisen as a result of technological advancements. Two possible architectures, the AIPS Proof of Concept (POC) configuration and the MAX Fault-tolerant dataflow multiprocessor, were evaluated. The main observation was that the AIPS design is biased towards fault tolerance and may not be an ideal architecture for planetary and deep space probes due to high cost and complexity. The MAX concepts appears to be a promising candidate, except that more detailed information is required. The feasibility for adding neural computation capability to this architecture needs to be studied. Key impact issues for architectural design of computing systems meant for planetary missions were also identified

Modular construction of a Byzantine agreement protocol with optimal message bit complexity

This paper presents a new Byzantine agreement protocol that tolerates t processor faults using 3t + 1 processors, t + o(t) rounds, O(t2) total message bits, and O(tɛ) maximum message size, for any ɛ > 0. The protocol is optimal or near optimal in all cost measures: the number of processors is optimal, the message bit complexity is optimal, the number of rounds exceeds the lower bound by o(t), and the maximum message size exceeds the lower bound by O(tɛ). The round complexity is uniformly better than 2·(t + 1) and thus is reasonable even for small t. This is the first Byzantine agreement protocol to have optimal message bit complexity. The new protocol is constructed by recursively applying a simple, yet general, transformation that changes the number of rounds, total message bits, and maximum message size required by a Byzantine agreement protocol, but preserves correctness, number of processor faults tolerated, and total number of processors. Each application of this new transformation reduces the number of message bits sent—at the expense of adding rounds of communication. Surprisingly, the base case of the recursive construction is the agreement protocol of Lamport, Shostak, and Pease, which has a number of message bits exponential in t

Common spaceborne multicomputer operating system and development environment

A preliminary technical specification for a multicomputer operating system is developed. The operating system is targeted for spaceborne flight missions and provides a broad range of real-time functionality, dynamic remote code-patching capability, and system fault tolerance and long-term survivability features. Dataflow concepts are used for representing application algorithms. Functional features are included to ensure real-time predictability for a class of algorithms which require data-driven execution on an iterative steady state basis. The development environment supports the development of algorithm code, design of control parameters, performance analysis, simulation of real-time dataflow applications, and compiling and downloading of the resulting application

A Simple and Efficient Randomized Byzantine Agreement Algorithm

A new randomized Byantine agreement algorithm is presented. This algorithm operates in a synchronous systems of n processors, at most t of which can fail. The algorithm reaches agreement in O(t/log n) expected rounds and O(n^2 t/log n) expected message bits independent of the distribution of processor failures. This performance is further improved to a constant expected number of rounds and O(n^2) message bits if the distribution of processor failures is assumed to be uniform. In either event, the algorithm improves on the known lower bound on rounds for deterministic algorithms. Some other advantages of the algorithm are that it requires no cryptographic techniques, that the amount of local computation is small, and that the expected number of random bits used per processor is only one. It is argued that in many practical applications of Byzantine agreement, the randomized algorithm of this paper achieves superior performance