TY - GEN
T1 - Optimal batch schedules for parallel machines
AU - Koehler, Frederic
AU - Khuller, Samir
PY - 2013/8/12
Y1 - 2013/8/12
N2 - We consider the problem of batch scheduling on parallel machines where jobs have release times, deadlines, and identical processing times. The goal is to schedule these jobs in batches of size at most B on m identical machines. Previous work on this problem primarily focused on finding feasible schedules. Motivated by the problem of minimizing energy, we consider problems where the number of batches is significant. Minimizing the number of batches on a single processor previously required an impractical O(n8) dynamic programming algorithm. We present a O(n3) algorithm for simultaneously minimizing the number of batches and maximum completion time, and give improved guarantees for variants with infinite size batches, agreeable release times, and batch "budgets". Finally, we give a pseudo-polynomial algorithm for general batch-count-sensitive objective functions and correct errors in previous results.
AB - We consider the problem of batch scheduling on parallel machines where jobs have release times, deadlines, and identical processing times. The goal is to schedule these jobs in batches of size at most B on m identical machines. Previous work on this problem primarily focused on finding feasible schedules. Motivated by the problem of minimizing energy, we consider problems where the number of batches is significant. Minimizing the number of batches on a single processor previously required an impractical O(n8) dynamic programming algorithm. We present a O(n3) algorithm for simultaneously minimizing the number of batches and maximum completion time, and give improved guarantees for variants with infinite size batches, agreeable release times, and batch "budgets". Finally, we give a pseudo-polynomial algorithm for general batch-count-sensitive objective functions and correct errors in previous results.
KW - Batching
KW - Optimal Algorithms
KW - Scheduling
UR - http://www.scopus.com/inward/record.url?scp=84881134014&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84881134014&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-40104-6_41
DO - 10.1007/978-3-642-40104-6_41
M3 - Conference contribution
AN - SCOPUS:84881134014
SN - 9783642401039
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 475
EP - 486
BT - Algorithms and Data Structures - 13th International Symposium, WADS 2013, Proceedings
T2 - 13th International Symposium on Algorithms and Data Structures, WADS 2013
Y2 - 12 August 2013 through 14 August 2013
ER -