Single-Machine Group Scheduling Problems with Variable Job Processing Times

Ping Ji, Lin Li

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)


This paper considers two resource constrained single-machine group scheduling problems. These problems involve variable job processing times (general position-dependent learning effects and deteriorating jobs); that is, the processing time of a job is defined by the function that involves its starting time and position in the group, and groups' setup time is a positive strictly decreasing continuous function of the amount of consumed resource. Polynomial time algorithms are proposed to optimally solve the makespan minimization problem under the constraint that the total resource consumption does not exceed a given limit and the total resource consumption minimization problem under the constraint that the makespan does not exceed a given limit, respectively.
Original languageEnglish
Article number758919
JournalMathematical Problems in Engineering
Publication statusPublished - 1 Jan 2015

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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