Department of Industrial Engineering, Tarbiat Modares University, Tehran, Iran
Abstract
In a recent paper, Caserta et al. [M. Caserta, S. Schwarze, and S. Vo . A mathematical formulation and complexity considerations for the blocks relocation problem", European Journal of Operational Research, 219, pp. 96-104 (2012)] proposed two mathematical models for the blocks relocation problem. Because of the complexity of their rst model, called BRP-I, they employed a simplifying assumption and introduced a relatively fast model, called BRP-II, to solve medium-sized instances. In this paper, it is rst proven that the BRP-II model is incorrect. Then, the corrected and improved formulation of BRP-II, called BRP2c and BRP2ci, respectively, are presented. By correcting a constraint in BRP-II, the reported optimal solution is either corrected or improved in many instances. Also, it is proven that some results of BRP-II reported by Caserta et al. are incorrect. Incorporating some new cut constraints into BRP2ci, the computational time of solving instances is decreased 25 times, on average.
Eskandari, H., & Azari, E. (2015). Notes on mathematical formulation and complexity considerations for blocks relocation problem. Scientia Iranica, 22(6), 2722-2728.
MLA
H. Eskandari; E. Azari. "Notes on mathematical formulation and complexity considerations for blocks relocation problem". Scientia Iranica, 22, 6, 2015, 2722-2728.
HARVARD
Eskandari, H., Azari, E. (2015). 'Notes on mathematical formulation and complexity considerations for blocks relocation problem', Scientia Iranica, 22(6), pp. 2722-2728.
VANCOUVER
Eskandari, H., Azari, E. Notes on mathematical formulation and complexity considerations for blocks relocation problem. Scientia Iranica, 2015; 22(6): 2722-2728.
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