Minimizing the weighted number of tardy task units

Joseph Y.T. Leung; Vincent K.M. Yu; W. D. Wei

doi:10.1016/0166-218X(92)00037-M

Minimizing the weighted number of tardy task units

Joseph Y.T. Leung
, Vincent K.M. Yu
, W. D. Wei

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

The problem of minimizing the weighted number of tardy task units on a single processor is considered. We give an O(n log n + kn)-time algorithm for a set of n tasks with k distinct weights. The relation of this problem with that of minimizing the total weighted error in the imprecise computation model is also discussed.

Original language	English (US)
Pages (from-to)	307-316
Number of pages	10
Journal	Discrete Applied Mathematics
Volume	51
Issue number	3
DOIs	https://doi.org/10.1016/0166-218X(92)00037-M
State	Published - Jul 6 1994
Externally published	Yes

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Applied Mathematics

Keywords

Feasible schedule
Imprecise computation
Late task
On-time task
Preemptive schedule
Single processor
Tardy task units

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10.1016/0166-218X(92)00037-M

Cite this

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title = "Minimizing the weighted number of tardy task units",

abstract = "The problem of minimizing the weighted number of tardy task units on a single processor is considered. We give an O(n log n + kn)-time algorithm for a set of n tasks with k distinct weights. The relation of this problem with that of minimizing the total weighted error in the imprecise computation model is also discussed.",

keywords = "Feasible schedule, Imprecise computation, Late task, On-time task, Preemptive schedule, Single processor, Tardy task units",

author = "Leung, \{Joseph Y.T.\} and Yu, \{Vincent K.M.\} and Wei, \{W. D.\}",

note = "Funding Information: *Corresponding author. +Research supported in part by the ONR grant N00014-91-J-1383, Instruments, Inc., and in part by a grant from the National Education of China.",

year = "1994",

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doi = "10.1016/0166-218X(92)00037-M",

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T1 - Minimizing the weighted number of tardy task units

AU - Leung, Joseph Y.T.

AU - Yu, Vincent K.M.

AU - Wei, W. D.

N1 - Funding Information: *Corresponding author. +Research supported in part by the ONR grant N00014-91-J-1383, Instruments, Inc., and in part by a grant from the National Education of China.

PY - 1994/7/6

Y1 - 1994/7/6

N2 - The problem of minimizing the weighted number of tardy task units on a single processor is considered. We give an O(n log n + kn)-time algorithm for a set of n tasks with k distinct weights. The relation of this problem with that of minimizing the total weighted error in the imprecise computation model is also discussed.

AB - The problem of minimizing the weighted number of tardy task units on a single processor is considered. We give an O(n log n + kn)-time algorithm for a set of n tasks with k distinct weights. The relation of this problem with that of minimizing the total weighted error in the imprecise computation model is also discussed.

KW - Feasible schedule

KW - Imprecise computation

KW - Late task

KW - On-time task

KW - Preemptive schedule

KW - Single processor

KW - Tardy task units

UR - https://www.scopus.com/pages/publications/0005435448

UR - https://www.scopus.com/pages/publications/0005435448#tab=citedBy

U2 - 10.1016/0166-218X(92)00037-M

DO - 10.1016/0166-218X(92)00037-M

M3 - Article

AN - SCOPUS:0005435448

SN - 0166-218X

VL - 51

SP - 307

EP - 316

JO - Discrete Applied Mathematics

JF - Discrete Applied Mathematics

IS - 3

ER -

Minimizing the weighted number of tardy task units

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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