We address the integrality gap of the integer linear program introduced by Grigoriev et al. (2006)  for the periodic maintenance problem. We prove that the integrality gap of this program is bounded by a constant.

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doi.org/10.1016/j.orl.2011.04.006, hdl.handle.net/1765/25767
Operations Research Letters
Erasmus MC: University Medical Center Rotterdam

Grigoriev, A., & van de Klundert, J. (2011). A note on the integrality gap of an ILP formulation for the periodic maintenance problem. Operations Research Letters, 39(4), 252–254. doi:10.1016/j.orl.2011.04.006