An Eecient Parallel Algorithm for Two Processors Precedence Constraint Scheduling
نویسندگان
چکیده
We present a new parallel algorithm for the two processors scheduling problem. The algorithm uses only O(n 3) processores and takes time O(log 2 n) time on a PRAM. In order to prove the above bounds we show how to compute in NC the lexicographically rst matching for a special kind of convex bipartite graphs.
منابع مشابه
An improved genetic algorithm for multidimensional optimization of precedence-constrained production planning and scheduling
Integration of production planning and scheduling is a class of problems commonly found in manufacturing industry. This class of problems associated with precedence constraint has been previously modeled and optimized by the authors, in which, it requires a multidimensional optimization at the same time: what to make, how many to make, where to make and the order to make. It is a combinatorial,...
متن کاملParallel Algorithms for Two Processors Precedence Constraint Scheduling
In the general form of multiprocessor precedence scheduling problems a set of n tasks to be executed on m processors is given. Each task requires exactly one unit of execution time and can run on any processor. A directed acyclic graph specifies the precedence constraints where an edge from task x to task y means task x must be completed before task y begins. A solution to the problem is a sche...
متن کاملGreen Energy-aware task scheduling using the DVFS technique in Cloud Computing
Nowdays, energy consumption as a critical issue in distributed computing systems with high performance has become so green computing tries to energy consumption, carbon footprint and CO2 emissions in high performance computing systems (HPCs) such as clusters, Grid and Cloud that a large number of parallel. Reducing energy consumption for high end computing can bring various benefits such as red...
متن کاملScheduling and packing malleable and parallel tasks with precedence constraints of bounded width
We study the problems of non-preemptively scheduling and packing malleable and parallel tasks with precedence constraints to minimize the makespan. In the scheduling variant, we allow the free choice of processors; in packing, each task must be assigned to a contiguous subset. Malleable tasks can be processed on different numbers of processors with varying processing times, while parallel tasks...
متن کاملWork efficient parallel scheduling algorithms
Scheduling the execution of parallel algorithms on parallel computers is a main issue in current research. Parallel computers can be used to solve scheduling problems very fast and we might be able to tackle new applications, where schedules must be obtained very quickly. Although the importance of parallel scheduling algorithms has been widely recognized, only few results have been obtained so...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007