Scheduling jobs under simple linear deterioration
Computers and Operations Research
Scheduling Parallel Machines On-line
SIAM Journal on Computing
Online computation and competitive analysis
Online computation and competitive analysis
SIAM Journal on Discrete Mathematics
Note: A best on-line algorithm for single machine scheduling with small delivery times
Theoretical Computer Science
Minimizing the total completion time on-line on a single machine, using restarts
Journal of Algorithms
Preemptive scheduling with simple linear deterioration on a single machine
Theoretical Computer Science
Scheduling on identical machines: How good is LPT in an on-line setting?
Operations Research Letters
A class of on-line scheduling algorithms to minimize total completion time
Operations Research Letters
Hi-index | 5.23 |
In many realistic scenarios of job processing, one job consumes a longer time to be satisfied with a later start time of processing. This phenomenon is known as job's deterioration effect. Such effect is unexplored in the context of online environment. In this paper we study online single machine scheduling for deteriorating jobs, where jobs arrive over time and become known to any online algorithm on their arrivals. The processing time of each job is a linearly increasing function of its start time. We mainly investigate three online models that minimize makespan, total completion time and maximum delivery time, respectively. For each model we present an optimal online algorithm in competitiveness.