## a b s t r a c t We consider a single-machine scheduling problem in which the processing time of each job is a simple linear deteriorating function of its waiting time. The machine is subject to an availability constraint. Jobs interrupted by machine unavailability can resume their processing. Th
Scheduling linear deteriorating jobs to minimize makespan with an availability constraint on a single machine
โ Scribed by Chin-Chia Wu; Wen-Chiung Lee
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 74 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
โฆ Synopsis
The scheduling problem with deteriorating jobs to minimize the makespan on a single machine where the facility has an availability constraint is studied in this paper. By a deteriorating job we mean that the processing time for the job is a function of its starting time. Even with the introduction of the availability to a facility, the linear deteriorating model can be solved using the 0-1 integer programming technique if the actual job processing time is proportional to the starting time.
๐ SIMILAR VOLUMES
We examine the problem of scheduling n jobs with a common due date on a single machine. The processing time ofeach job is a random variable, which follows an arbitrary distribution with a known mean and a known variance. The machine is not reliable; it is subject to stochastic breakdowns. The objec