Optimal Semi-Online Algorithm for Scheduling on Two Parallel Batch Processing Machines - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Asia-Pacific Journal of Operational Research Année : 2014

Optimal Semi-Online Algorithm for Scheduling on Two Parallel Batch Processing Machines

Résumé

Batch processing machine scheduling in uncertain environment attracts more and more attention in the last decade. This paper deals with semi-online scheduling on two parallel batch processing machines with non-decreasing processing time of job. Jobs arrive over time in the online paradigm, and the processing time of any batch is equal to the length of the last arrival job in the batch. We study the unbounded model where each processing batch may contain an unlimited number of jobs, and the objective is to minimize the makespan. Given any job (Formula presented.) together with its following job (Formula presented.), it is assumed that their processing times satisfy (Formula presented.) where α ≥ 1 is a constant. That is, jobs arrive in a non-decreasing order of processing times. We mainly propose an optimal ϕ-competitive online algorithm where ϕ ≥ 1 is a solution of equation ϕ3 + (α-1)ϕ2 + (α2 - α - 1)ϕ - α2 = 0.
Fichier non déposé

Dates et versions

hal-01096246 , version 1 (17-12-2014)

Identifiants

Citer

Ming Liu, Feifeng Zheng, Zhanguo Zhu, Chengbin Chu. Optimal Semi-Online Algorithm for Scheduling on Two Parallel Batch Processing Machines. Asia-Pacific Journal of Operational Research, 2014, 31 (5), (elec. proc.). ⟨10.1142/S0217595914500389⟩. ⟨hal-01096246⟩
223 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More