ON THE COMPLEXITY OF MEAN FLOW TIME SCHEDULING.

Ravi Sethi

doi:10.1287/moor.2.4.320

ON THE COMPLEXITY OF MEAN FLOW TIME SCHEDULING.

Ravi Sethi

Computer Science

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

34 Scopus citations

Abstract

There are n tasks to be scheduled for processing on a set of identical parallel machines. When tasks can be processed in any order, optimal schedules can be constructed in O(n log n) time on any number of identical machines. With arbitrary precedence constraints the problem becomes NP-complete even on one machine. However, for series-parallel precedence constraints an O(n log n) algorithm is known for one machine. It is shown that on two or more machines, the problem is NP-complete even if the precedence constraints are tree-like.

Original language	English (US)
Pages (from-to)	320-330
Number of pages	11
Journal	Mathematics of Operations Research
Volume	2
Issue number	4
DOIs	https://doi.org/10.1287/moor.2.4.320
State	Published - 1977

ASJC Scopus subject areas

Mathematics(all)
Computer Science Applications
Management Science and Operations Research

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abstract = "There are n tasks to be scheduled for processing on a set of identical parallel machines. When tasks can be processed in any order, optimal schedules can be constructed in O(n log n) time on any number of identical machines. With arbitrary precedence constraints the problem becomes NP-complete even on one machine. However, for series-parallel precedence constraints an O(n log n) algorithm is known for one machine. It is shown that on two or more machines, the problem is NP-complete even if the precedence constraints are tree-like.",

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AB - There are n tasks to be scheduled for processing on a set of identical parallel machines. When tasks can be processed in any order, optimal schedules can be constructed in O(n log n) time on any number of identical machines. With arbitrary precedence constraints the problem becomes NP-complete even on one machine. However, for series-parallel precedence constraints an O(n log n) algorithm is known for one machine. It is shown that on two or more machines, the problem is NP-complete even if the precedence constraints are tree-like.

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ON THE COMPLEXITY OF MEAN FLOW TIME SCHEDULING.

Abstract

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