A local search algorithm: minimizing makespan of deteriorating jobs with relaxed agreeable weights
In this paper, we consider the problem of minimizing makespan of n deteriorating jobs on a single machine. Rates of deterioration are job-dependent and constant with respect to the starting times. Jobs begin to deteriorate after a common critical date ‘d.’ The concept of relaxed agreeable weights is...
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| Autores principales: | , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
Elsevier
2018
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/550f34ab162141cf9c0fe29187f03a6f |
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| Sumario: | In this paper, we consider the problem of minimizing makespan of n deteriorating jobs on a single machine. Rates of deterioration are job-dependent and constant with respect to the starting times. Jobs begin to deteriorate after a common critical date ‘d.’ The concept of relaxed agreeable weights is introduced. It is shown that the problem is NP-hard. The condition of relaxed agreeable weights and the structure of the problem are used to show that our local search algorithm, to obtain a locally optimal solution, will require polynomial effort in the number of jobs. |
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