The consensus problem is concerned with the agreement on a system status by the fault-free segment of a processor population in spite of the possible inadvertent or even malicious spread of disinformation by the fault segment of that population. The resulting protocols are useful throughout fault-tolerant distributed systems and will impact the design of other decision systems to come. This paper surveys research on the consensus problem, compares approaches, outlines applications, and suggests directions for future work.

The consensus problem in fault-tolerant computing

Publisher Summary This chapter discusses the deterministic problems of scheduling tasks on machines (processors), which is one of the most rapidly expanding areas of combinatorial optimization. These problems are stated as follows: A given set of tasks is to be processed on a set of available processors, so that all processing conditions are satisfied and a certain objective function is minimized (or maximized). It is assumed, in contrast to stochastic scheduling problems, that all task parameters are known a priori in a deterministic way. This assumption is well justified in many practical situations. On the other hand, it permits the solving of scheduling problems having a different practical interpretation from that of the stochastic approach. This interpretation is a valuable complement to the stochastic analysis and is often imposed by certain applications as—for example, in computer control systems working in a hard-real-time environment and in many industrial applications. The chapter focuses on the applications of this model in computer systems. It also points out some other interpretations, because tasks and machines may also represent ships and dockyards, classes and teachers, patients and hospital equipment, or dinners and cooks.

Selected Topics in Scheduling Theory

New trends in machine scheduling

The problem to be addressed is one of scheduling multiprocessor tasks, some of which require more than one processor at a time. We extend this model by introducing a uniform k -processor system consisting of k -tuples of processors having the same speeds. A low order polynomial-time preemptive scheduling algorithms is proposed when schedule length is the performance measure.

Scheduling independent multiprocessor tasks on a uniform k -processor system

Improved bounds for hybrid flow shop scheduling with multiprocessor tasks

On the diagnosability of self-testing multi-microprocessor systems☆

Distrubuted diagnosis for computing networks

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On the diagnosability of self-testing multi-microprocessor systems☆

Distrubuted diagnosis for computing networks