Introduction to Stochastic Dynamic Programming: Probability and Mathematical
Introduction to Stochastic Dynamic Programming: Probability and Mathematical
Integrated production planning and preventive maintenance in deteriorating production systems
Information Sciences: an International Journal
A Survey on Approximation Algorithms for Scheduling with Machine Unavailability
Algorithmics of Large and Complex Networks
Minimizing makespan on a single machine subject to random breakdowns
Operations Research Letters
Hi-index | 0.00 |
A set of stochastic jobs is to be processed on a single machine which is subject to several types of breakdowns according to different probabilities. After the machine fails, jobs' processing time, uptime and repair time of the machine may be different from the original period. We find the optimal nonpreemptive policies that minimize the following objective functions: (1) the weighted sum of the completion times, (2) the weighted number of late jobs having constant due dates, (3) the weighted number of late jobs having random due dates. These results partly generalize the conclusions obtained by Pinedo and Rammouz (1988) and Xie and Zheng (1993).