The Expected Competitive Ratio for Weighted Completion Time Scheduling

Energy Aware Scheduling for Weighted Completion Time and Weighted Tardiness

The ever increasing adoption of mobile devices with limited energy storage capacity, on the one hand, and more awareness of the environmental impact of massive data centres and server pools, on the other hand, have both led to an increased interest in energy management algorithms. In this talk we will present several new constant factor approximation algorithms for energy aware scheduling probl...

Scheduling with Rejection to Minimize the Total Weighted Completion Time∗

In this paper, we address the scheduling problem with rejection in which we can choose a subset of jobs to process. Choosing not to process any job incurs a corresponding penalty. We consider the following problem for the first time: scheduling with rejection to minimize the total weighted completion time with the constraint of total penalties on identical parallel machines, where the number of...

A Hybrid Genetic Algorithm for the Open Shop Scheduling with Makespan and Total Completion Time

Proper scheduling of tasks leads to optimum using of time and resources, in order to obtaining best result. One of the most important and complicated scheduling problems is open shop scheduling problem. There are n jobs in open shop scheduling problem which should be processed by m machines. Purpose of scheduling open shop problem is attaining to a suitable order of processing jobs by specified...

Customer Order Scheduling to Minimize Total Weighted Completion Time

In this paper we study the scheduling problem in which each customer order consists of several jobs of different types, which are to be processed on m facilities. Each facility is dedicated to the processing of only one type of jobs. All jobs of an order have to be delivered to the customer at the same time. The objective is to schedule all the orders to minimize the total weighted order comple...

Scheduling Identical Parallel Machines to Minimize Total Weighted Completion Time