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- Santanu S. Dey, Laurence A. Wolsey
- IPCO
- 2008

Recently, Andersen et al. [1] and Borozan and CornuÃ©jols [3] characterized the minimal inequalities of a system of two rows with two free integer variables and nonnegative continuous variables. Theseâ€¦ (More)

- Santanu S. Dey, Laurence A. Wolsey
- Math. Program.
- 2010

Recently Andersen et al. [1], Borozan and CornuÃ©jols [6] and CornuÃ©jols and Margot [10] have characterized the extreme valid inequalities of a mixed integer set consisting of two equations with twoâ€¦ (More)

- Santanu S. Dey, Laurence A. Wolsey
- SIAM Journal on Optimization
- 2010

Recently minimal and extreme inequalities for continuous group relaxations of general mixed integer sets have been characterized. In this paper, we consider a stronger relaxation of general mixedâ€¦ (More)

- Santanu S. Dey, Jean-Philippe P. Richard, Yanjun Li, Lisa A. Miller
- Math. Program.
- 2010

Infinite group relaxations of integer programs (IP) were introduced by Gomory and Johnson [10] to generate cutting planes for general IPs. These valid inequalities correspond to real-valued functionsâ€¦ (More)

- Santanu S. Dey, Quentin Louveaux
- Math. Oper. Res.
- 2011

A simple relaxation of two rows of a simplex tableau is a mixed integer set consisting of two equations with two free integer variables and non-negative continuous variables. Recently Andersen et al.â€¦ (More)

- Santanu S. Dey, Jean-Philippe P. Richard
- Math. Oper. Res.
- 2008

In this paper, we lay the foundation for the study of the two-dimensional mixed integer infinite group problem (2DMIIGP). We introduce tools to determine if a given continuous and piecewise linearâ€¦ (More)

- Burak Kocuk, Santanu S. Dey, Xu Andy Sun
- IEEE Transactions on Power Systems
- 2016

It has been recently proven that the semidefinite programming (SDP) relaxation of the optimal power flow problem over radial networks is exact under technical conditions such as not includingâ€¦ (More)

- Burak Kocuk, Santanu S. Dey, Xu Andy Sun
- Operations Research
- 2016

This paper proposes three strong second order cone programming (SOCP) relaxations for the AC optimal power flow (OPF) problem. These three relaxations are incomparable to each other and two of themâ€¦ (More)

- Akshay Gupte, Shabbir Ahmed, Myun-Seok Cheon, Santanu S. Dey
- SIAM Journal on Optimization
- 2013

In this paper, we examine a mixed integer linear programming (MILP) reformulation for mixed integer bilinear problems where each bilinear term involves the product of a nonnegative integer variableâ€¦ (More)