In this paper a single machine time-dependent scheduling problem with total completion time criterion is considered. There are given n jobs J1,…,Jn and the processing time pi of the ith job is given by pi=a+bisi, where si is the starting time of the ith job (i=1,…,n),bi is its deterioration rate and a is the common base processing time. If all jobs have deterioration rates different and not smaller than a certain constant u>0, then for each >0 a solution with the value of the goal function that is at most 1+ times greater than the optimal one can be found. Consequently, the problem cannot be NP-hard in the strong sense.
Authors
Additional information
- DOI
- Digital Object Identifier link open in new tab 10.1016/j.ejor.2009.07.025
- Category
- Publikacja w czasopiśmie
- Type
- artykuł w czasopiśmie wyróżnionym w JCR
- Language
- angielski
- Publication year
- 2009