The Power of Choice in Priority Scheduling

Consider the following random process: we are given $n$ queues, into which elements of increasing labels are inserted uniformly at random. To remove an element, we pick two queues at random, and remove the element of lower label (higher priority) among the two. The cost of a removal is the rank of the label removed, among labels still present in any of the queues, that is, the distance from the optimal choice at each step. Variants of this strategy are prevalent in state-of-the-art concurrent priority queue implementations. Nonetheless, it is not known whether such implementations provide any rank guarantees, even in a sequential model. We answer this question, showing that this strategy provides surprisingly strong guarantees: Although the single-choice process, where we always insert and remove from a single randomly chosen queue, has degrading cost, going to infinity as we increase the number of steps, in the two choice process, the expected rank of a removed element is $O( n )$ while the expected worst-case cost is $O( n \log n )$. These bounds are tight, and hold irrespective of the number of steps for which we run the process. The argument is based on a new technical connection between "heavily loaded" balls-into-bins processes and priority scheduling. Our analytic results inspire a new concurrent priority queue implementation, which improves upon the state of the art in terms of practical performance

Optimistic replication

Data replication is a key technology in distributed data sharing systems, enabling higher availability and performance. This paper surveys optimistic replication algorithms that allow replica contents to diverge in the short term, in order to support concurrent work practices and to tolerate failures in low-quality communication links. The importance of such techniques is increasing as collaboration through wide-area and mobile networks becomes popular. Optimistic replication techniques are different from traditional “pessimistic ” ones. Instead of synchronous replica coordination, an optimistic algorithm propagates changes in the background, discovers conflicts after they happen and reaches agreement on the final contents incrementally. We explore the solution space for optimistic replication algorithms. This paper identifies key challenges facing optimistic replication systems — ordering operations, detecting and resolving conflicts, propagating changes efficiently, and bounding replica divergence — and provides a comprehensive survey of techniques developed for addressing these challenges

OpenACC Based GPU Parallelization of Plane Sweep Algorithm for Geometric Intersection

Line segment intersection is one of the elementary operations in computational geometry. Complex problems in Geographic Information Systems (GIS) like finding map overlays or spatial joins using polygonal data require solving segment intersections. Plane sweep paradigm is used for finding geometric intersection in an efficient manner. However, it is difficult to parallelize due to its in-order processing of spatial events. We present a new fine-grained parallel algorithm for geometric intersection and its CPU and GPU implementation using OpenMP and OpenACC. To the best of our knowledge, this is the first work demonstrating an effective parallelization of plane sweep on GPUs. We chose compiler directive based approach for implementation because of its simplicity to parallelize sequential code. Using Nvidia Tesla P100 GPU, our implementation achieves around 40X speedup for line segment intersection problem on 40K and 80K data sets compared to sequential CGAL library

Towards a Scalable Dynamic Spatial Database System

With the rise of GPS-enabled smartphones and other similar mobile devices, massive amounts of location data are available. However, no scalable solutions for soft real-time spatial queries on large sets of moving objects have yet emerged. In this paper we explore and measure the limits of actual algorithms and implementations regarding different application scenarios. And finally we propose a novel distributed architecture to solve the scalability issues.Comment: (2012

An Abstraction-Refinement Theory for the Analysis and Design of Concurrent Real-Time Systems

Concurrent real-time systems with shared resources belong to the class of safety-critical systems for which it is required to determine both temporally and functionally conservative guarantees. However, the growing complexity of real-time systems makes it more and more challenging to apply standard techniques for their analysis. Especially the presence of both cyclic data dependencies and cyclic resource dependencies makes many related analysis approaches inapplicable. The usage of Static Priority Preemptive (SPP) scheduling further impedes the employment of many "classical" analysis techniques. To address this growing complexity and to be able to give guarantees nevertheless we present an abstraction-refinement theory for real-time systems. We introduce a timed component model that is defined in such a generic way that both real-time system implementations and any kinds of analysis models for such applications can be expressed therein. Thereafter, we devise three different abstraction-refinement theories for the timed component model, exclusion, inclusion and bounding. Exclusion can be used to remove unconsidered corner cases, inclusion allows for the substitution of uncertainty with non-determinism, while bounding permits to replace non-determinism with determinism. The latter enables the creation of efficiently analyzable models that can be used to give temporal or functional guarantees on non-deterministic and non-monotone implementations. We use such abstractions to construct analysis models from concurrent real-time systems with shared resources and SPP scheduling. On these models we apply various analysis techniques, with the goal to increase analysis accuracy. Our first accuracy improvement is achieved by combining the rather coarse state-of-the-art period-and-jitter interference characterization with an explicit consideration of cyclic data dependencies. The interference-limiting effect of such cycles can be exploited even more with an "iterative buffer sizing". Next we replace period-and-jitter with execution intervals, resulting in an even higher accuracy. In our last approach we increase both accuracy and applicability by enabling the support of real-time systems with tasks consisting of multiple phases and operating at different rates. With a modification of this approach we further enable the analysis of applications with multiple shared resources. Finally, we also present the so-called HAPI simulator that is capable of simulating any kinds of concurrent real-time systems with shared resources