Analytic evaluation of the expectation and variance of different performance measures of a schedule on a single machine under processing time variability

Subhash C. Sarin (), Balaji Nagarajan, Sanjay Jain and Lingrui Liao
Additional contact information
Subhash C. Sarin: Virginia Tech.
Balaji Nagarajan: Virginia Tech.
Sanjay Jain: Virginia Tech.
Lingrui Liao: Virginia Tech.

Journal of Combinatorial Optimization, 2009, vol. 17, issue 4, No 4, 400-416

Abstract: Abstract In this paper, we present closed-form expressions, wherever possible, or devise algorithms otherwise, to determine the expectation and variance of a given schedule on a single machine. We consider a variety of completion time and due date-based objectives. The randomness in the scheduling process is due to variable processing times with known means and variances of jobs and, in some cases, a known underlying processing time distribution. The results that we present in this paper can enable evaluation of a schedule in terms of both the expectation and variance of a performance measure considered, and thereby, aid in obtaining a stable schedule. Additionally, the expressions and algorithms that are presented, can be incorporated in existing scheduling algorithms in order to determine expectation-variance efficient schedules.

Keywords: Single machine scheduling; Processing time variability; Various performance measures; Expectation-variance analysis (search for similar items in EconPapers)
Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s10878-007-9122-0 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jcomop:v:17:y:2009:i:4:d:10.1007_s10878-007-9122-0

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10878

DOI: 10.1007/s10878-007-9122-0

Access Statistics for this article

Journal of Combinatorial Optimization is currently edited by Thai, My T.

More articles in Journal of Combinatorial Optimization from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().