In this paper, we consider the slack due-window assignment model and study a single machine scheduling problem of linear time-dependent deteriorating jobs and a deteriorating maintenance activity. The cost for each job consists of four components: earliness, tardiness, window location and window size. The objective is to schedule the jobs and to assign the maintenance activity and due-windows s...

Traditional scheduling assumes that the processing time of a job is fixed. Yet there are numerous situations that the processing time increases (deteriorates) as the start time increases. In particular, lots of work has been devoted to jobs with simple linear deterioration. The processing time pj of job Jj is a simple linear function of its start time sj , precisely, pj = bjsj , where bj is the...

In this paper we consider a single machine scheduling problem with deteriorating jobs. By deteriorating jobs, we mean that the processing time of a job is a simple linear function of its execution starting time. For the jobs with chain precedence constraints, we prove that the weighted sum of squared completion times minimization problem with strong chains and weak chains can be solved in polyn...

Traditional scheduling assumes that the processing time of a job is fixed. Yet there are numerous situations that the processing time increases (deteriorates) as the start time increases. Examples include scheduling cleaning or maintenance, fire fighting, steel production and financial management. Scheduling of deteriorating jobs was first introduced on a single machine by Browne and Yechiali, ...

We consider the following single-machine time-dependent scheduling problem with constraints on the machine availability. There is given a set of independent and deteriorating jobs Jj , 1 ≤ j ≤ n, to be processed on a single machine, starting from time t0 > 0. The processing time pj of job Jj is a proportional function of the starting time Sj of this job, pj = αjSj, where Sj ≥ t0 and deteriorati...