Stability of a schedule minimizing mean flow time

A dynamic programming approach of finding an optimal broadcast schedule in minimizing total flow time

We study the problem of (off-line) broadcast scheduling in minimizing total flow time and propose a dynamic programming approach to compute an optimal broadcast schedule. Suppose the broadcast server has k pages and the last page request arrives at time n. The optimal schedule can be computed in O(k3(n + k)k−1) time for the case that the server has a single broadcast channel. For m channels cas...

Minimizing Mean Flow Time for the Two-Machine Scheduling Problem with a Single Server

Abstract In this paper, we consider the problem of scheduling a set of jobs on two parallel machines to minimize the sum of completion times. Each job requires a setup which must be done by a single server. It is known that this problem is strongly NP-hard. We propose two mixed integer linear programming models and a simulated annealing algorithm. The performance of these algorithms is evaluate...

Minimizing the Flow Time withoutMigration

Minimizing Makespan with Start Time Dependent Jobs in a Two Machine Flow Shop

[if gte mso 9]> The purpose of this paper is to consider the problem of scheduling a set of start time-dependent jobs in a two-machine flow shop, in which the actual processing times of jobs increase linearly according to their starting time. The objective of this problem is to minimize the makespan. The problem is known to be NP-hardness[ah1] ; therefore, there is no polynomial-time algorithm...

Minimizing the Mean Tardiness in A N1 Sequencing Problem

This paper considers the problem of minimizing the mean tardiness of N jobs when the jobs are scheduled on a single machine. A simple algorithmic procedure is develop to obtain an optimal or a near optimal sequence for the N jobs while considering an equal penalty cost incurred to each job delivered later than its due date. The developed algorithm is applied to the several test problems. The re...