A best possible deterministic on-line algorithm for minimizing makespan on parallel batch machines

We study on-line scheduling on parallel batch machines. Jobs arrive over time. A batch processing machine can handle up to B jobs simultaneously. The jobs that are processed together form a batch and all jobs in a batch start and are completed at the same time. The processing time of a batch is give...

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Bibliographic Details
Published in:Journal of scheduling Vol. 15; no. 1; pp. 77 - 81
Main Authors: Liu, Peihai, Lu, Xiwen, Fang, Yang
Format: Journal Article
Language:English
Published: Boston Springer US 01.02.2012
Springer Science + Business Media
Springer Nature B.V
Subjects:
Algorithms
Artificial Intelligence
Batch processing
Buffer inventories
Business and Management
Calculus of Variations and Optimal Control; Optimization
Competition
Handles
On-line systems
Operations Research/Decision Theory
Optimization
Parallel processing
Production scheduling
Release dates
Schedules
Scheduling
Studies
Supply Chain Management
On-line
Scheduling
Parallel Batch Machines
ISSN:1094-6136, 1099-1425
Online Access:Get full text
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Summary:We study on-line scheduling on parallel batch machines. Jobs arrive over time. A batch processing machine can handle up to B jobs simultaneously. The jobs that are processed together form a batch and all jobs in a batch start and are completed at the same time. The processing time of a batch is given by the processing time of the longest job in the batch. The objective is to minimize the makespan. We deal with the unbounded model, where B is sufficiently large. We first show that no deterministic on-line algorithm can have a competitive ratio of less than , where m is the number of parallel batch machines. We then present an on-line algorithm which is the one best possible for any specific values of  m .
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ISSN:1094-6136
1099-1425
DOI:10.1007/s10951-009-0154-4