Multi-agent scheduling on a single machine to minimize total weighted number of tardy jobs

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178 Citations (Scopus)


We consider the feasibility model of multi-agent scheduling on a single machine, where each agent's objective function is to minimize the total weighted number of tardy jobs. We show that the problem is strongly NP-complete in general. When the number of agents is fixed, we first show that the problem can be solved in pseudo-polynomial time for integral weights, and can be solved in polynomial time for unit weights; then we present a fully polynomial-time approximation scheme for the problem.
Original languageEnglish
Pages (from-to)273-281
Number of pages9
JournalTheoretical Computer Science
Issue number1-3
Publication statusPublished - 11 Oct 2006


  • Multi-agent deterministic sequencing
  • Scheduling

ASJC Scopus subject areas

  • Computational Theory and Mathematics

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