We consider the problem of scheduling n deteriorating jobs with release dates on a single batching machine. Each job's processing time is an increasing simple linear function of its starting time. The machine can process up to b jobs simultaneously as a batch. The objective is to minimize the...

We consider a single-machine scheduling problem involving both the due date assignment and job scheduling under a group technology environment. The jobs (orders) of customers are classified into groups according to their production similarities in advance. To achieve production efficiency and...

This paper considers the problem of scheduling deteriorating jobs and due date assignment on a single machine. The actual processing time of a job is a linear increasing function of its starting time. The problem is to determine the optimal due dates and the processing sequence simultaneously to...

We consider the online bounded-batch scheduling to minimize total weighted completion time on parallel machines. In the problem, a set of n independent jobs arriving online over time has to be scheduled on m given machines, where the information of each job including its processing time and...

In this paper we introduce the concept of online tradeoff scheduling to minimize two objective functions f1 and f2 simultaneously. An online algorithm A is called (ρ1,ρ2)-competitive for minimizing f1 and f2 if A is ρ1-competitive for minimizing f1 and ρ2-competitive for minimizing f2. A...