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Resource leveling in a machine environment

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  • Drótos, Márton
  • Kis, Tamás

Abstract

We address resource leveling problems in a machine environment. Given a set of m machines, one or more renewable resources, and a set of n tasks, each assigned to exactly one of the machines. Each task has a processing time, an earliest start time, a deadline, and resource requirements. There are no precedence relations between the tasks. The tasks have to be sequenced on the machines while minimizing a function of the level of resource utilization from each resource over time. We provide various complexity results including a polynomial time algorithm for a one machine special case. We also propose an exact method using various techniques to find optimal or close-to-optimal solutions. The computational experiments show that our exact method significantly outperforms heuristics and a commercial MIP solver.

Suggested Citation

  • Drótos, Márton & Kis, Tamás, 2011. "Resource leveling in a machine environment," European Journal of Operational Research, Elsevier, vol. 212(1), pages 12-21, July.
    • Handle: RePEc:eee:ejores:v:212:y:2011:i:1:p:12-21
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    Cited by:

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