Two-agent scheduling to minimize the total cost

Research output: Journal article publicationJournal articleAcademic researchpeer-review

43 Citations (Scopus)


Two agents, each having his own set of jobs, compete to perform their own jobs on a common processing resource. Each job of the agents has a weight that specifies its importance. The cost of the first agent is the maximum weighted completion time of his jobs while the cost of the second agent is the total weighted completion time of his jobs. We consider the scheduling problem of determining the sequence of the jobs such that the total cost of the two agents is minimized. We provide a 2-approximation algorithm for the problem, show that the case where the number of jobs of the first agent is fixed is NP-hard, and devise a polynomial time approximation scheme for this case.
Original languageEnglish
Pages (from-to)39-44
Number of pages6
JournalEuropean Journal of Operational Research
Issue number1
Publication statusPublished - 16 Nov 2011


  • Approximation algorithm
  • Multi-agent
  • Polynomial time approximation scheme
  • Scheduling

ASJC Scopus subject areas

  • Management Science and Operations Research
  • Modelling and Simulation
  • Information Systems and Management


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