Journal of Scheduling

, Volume 13, Issue 2, pp 123–129 | Cite as

Minimizing the total weighted completion time in the relocation problem

  • Alexander V. Kononov
  • Bertrand M. T. LinEmail author


This paper studies the minimization of total weighted completion time in the relocation problem on a single machine. The relocation problem, formulated from an area redevelopment project, can be treated as a resource-constrained scheduling problem. In this paper, we show four special cases to be NP-hard in the strong sense. Problem equivalence between the unit-weighted case and the UET (unit-execution-time) case is established. For two further restricted special cases, we present a polynomial time approximation algorithm and show its performance ratio to be 2.

Relocation problem Resource-constrained scheduling NP-hardness Approximation algorithm 


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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsNovosibirskRussia
  2. 2.Novosibirsk State UniversityNovosibirskRussia
  3. 3.Institute of Information Management, Department of Information and Finance ManagementNational Chiao Tung UniversityHsinchuTaiwan

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