Structural properties of time-dependent scheduling problems with the lp norm objective

Stanisław Gawiejnowicz and Wiesław Kurc

Omega, 2015, vol. 57, issue PB, 196-202

Abstract: We consider general properties which describe the structure of schedules for a single machine scheduling problem with linearly deteriorating jobs and the objective to minimize the lp norm. Applying a matrix formulation of the problem, we show that it has unique solutions and for p≥1 it possesses a kind of convexity. We also express the time complexity of the problem as a function of index p of the lp norm and prove that there exist thresholds p∞ and p1 such that p∞1, while symmetricity of the schedules may hold only for some p≥1.

Keywords: Scheduling; Deteriorating jobs; The lp norm; Time complexity (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0305048315000894
Full text for ScienceDirect subscribers only

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:eee:jomega:v:57:y:2015:i:pb:p:196-202

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

DOI: 10.1016/j.omega.2015.04.015

Access Statistics for this article

Omega is currently edited by B. Lev

More articles in Omega from Elsevier
Bibliographic data for series maintained by Catherine Liu ().