Repozytorium publikacji - Politechnika Gdańska

Ustawienia strony

english
Repozytorium publikacji
Politechniki Gdańskiej

Treść strony

A FPTAS for minimizing total completion time in a single machine time-dependent scheduling problem

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.

Autorzy