Preemptive Scheduling of a Multiprocessor System with Memories to Minimize Maximum Lateness

نویسندگان

  • Ten-Hwang Lai
  • Sartaj Sahni
چکیده

We develop an O (q2n + nlogn) algorithm to obtain a preemptive schedule that minimizes maximum lateness when n jobs with given due dates and memory requirements are to be scheduled on m processors (n ≥ m) of given memory sizes. q is the number of distinct due dates. The value of the minimum maximum lateness can itself be found in O(qn + nlogn) time.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Multiprocessor System with Non-Preemptive Earliest-Deadline-First Scheduling Policy: A Performability Study

This paper introduces an analytical method for approximating the performability of a firm realtime system modeled by a multi-server queue. The service discipline in the queue is earliestdeadline- first (EDF), which is an optimal scheduling algorithm. Real-time jobs with exponentially distributed relative deadlines arrive according to a Poisson process. All jobs have deadlines until the end of s...

متن کامل

An Optimal Parallel Algorithm for Preemptive Job Scheduling that Minimizes Maximum Lateness

In this paper we present the Preemptive Minimize Maximum Lateness algorithm, an optimal parallel algorithm that schedules jobs for execution on a single processor machine with preemption. Each job is described by a release time, a deadline and a processing time. A job is considered late if it does not complete by its deadline and its lateness is defined as the difference between its completion ...

متن کامل

Scheduling multiprocessor tasks on two parallel processors

In this work scheduling multiprocessor tasks on two parallel identical processors is considered. Multiprocessor tasks can be executed by more than one processor at the same moment of time. We analyze scheduling unit execution time and preemptable tasks to minimize schedule length and maximum lateness. Cases with ready times, due-dates and precedence constraints are discussed.

متن کامل

Solving Single Machine Sequencing to Minimize Maximum Lateness Problem Using Mixed Integer Programming

Despite existing various integer programming for sequencing problems, there is not enoughinformation about practical values of the models. This paper considers the problem of minimizing maximumlateness with release dates and presents four different mixed integer programming (MIP) models to solve thisproblem. These models have been formulated for the classical single machine problem, namely sequ...

متن کامل

Scheduling of a flexible flow shop with multiprocessor task by a hybrid approach based on genetic and imperialist competitive algorithms

This paper presents a new mathematical model for a hybrid flow shop scheduling problem with multiprocessor tasks in which sequence dependent set up times and preemption are considered. The objective is to minimize the weighted sum of makespan and maximum tardiness. Three meta-heuristic methods based on genetic algorithm (GA), imperialist competitive algorithm (ICA) and a hybrid approach of GA a...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • SIAM J. Comput.

دوره 13  شماره 

صفحات  -

تاریخ انتشار 1984