Solving the Order-Preserving Submatrix Problem via Integer Programming
نویسندگان
چکیده
In this paper we consider the Order Preserving Submatrix (OPSM) problem. This problem is known to be NP -hard. Although in recent years some heuristic methods have been presented to find OPSMs, they lack the guarantee of optimality. We present exact solution approaches based on linear mixed 0–1 programming formulations, and develop algorithmic enhancements to aid in solvability. Encouraging computational results are reported both for synthetic and real biological data. Additionally, we discuss theoretical computational complexity issues related to finding fixed patterns in matrices.
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عنوان ژورنال:
- INFORMS Journal on Computing
دوره 22 شماره
صفحات -
تاریخ انتشار 2010