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- 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)

- Nuri Firat Ince, Akshay Gupte, +5 authors Aviva Abosch
- Neurosurgery
- 2010

BACKGROUND
In the United States, the most commonly used surgical treatment for patients with Parkinson's disease is the implantation of deep brain stimulation (DBS) electrodes within the subthalamicâ€¦ (More)

- Nathan Adelgren, Pietro Belotti, Akshay Gupte
- ArXiv
- 2014

In biobjective mixed integer linear programs (BOMILPs), two linear objectives are minimized over a polyhedron while restricting some of the variables to be integer. Since many of the techniques forâ€¦ (More)

- John Morris, H. Zhang, Akshay Gupte, Gregory L. Bomhoff, John A. Stanford, Philipp Geiger
- Brain research
- 2008

Clinical evidence has shown a correlation between Parkinson's disease (PD) and Type 2 Diabetes (T2D), as abnormal glucose tolerance has been reported in >50% of PD patients. The development ofâ€¦ (More)

- Santanu S. Dey, Akshay Gupte
- Operations Research
- 2015

The pq-relaxation for the pooling problem can be constructed by applying McCormick envelopes for each of the bilinear terms appearing in the so-called pq-formulation of the pooling problem. Thisâ€¦ (More)

We present a generic branch-and-bound method for finding all the Pareto solutions of a biobjective mixed integer program. Our main contribution is new algorithms for obtaining dual bounds at a node,â€¦ (More)

- Akshay Gupte
- 2012

- Akshay Gupte, Shabbir Ahmed, Santanu S. Dey, Myun-Seok Cheon
- J. Global Optimization
- 2017

The pooling problem is a folklore NP-hard global optimization problem that finds applications in industries such as petrochemical refining, wastewater treatment and mining. This paper assimilates theâ€¦ (More)

- Akshay Gupte
- Discrete Applied Mathematics
- 2016

We consider bounded integer knapsacks where the weights and variable upper bounds together form a superincreasing sequence. The elements of this superincreasing knapsack are exactly those vectorsâ€¦ (More)

Four series of N-Mannich bases of 3,4-dihydropyrimidine-2(1H)-thiones 7a-g, 8a-g, 9a-g and 10a-g (DHPMs) have been prepared by Mannich reaction with seven different heterocyclic secondary aminoâ€¦ (More)