5 papers
Combination Chemotherapy Optimization with Discrete Dosing
Temitayo Ajayi, Seyedmohammadhossein Hosseinian, Andrew J. Schaefer +1
Chemotherapy is one of the primary modalities of cancer treatment. Chemotherapy drug administration is a complex problem that often requires expensive clinical trials to evaluate p…
On strong duality, theorems of the alternative, and projections in conic optimization
Temitayo Ajayi, Akshay Gupte, Amin Khademi +1
A conic program is the problem of optimizing a linear function over a closed convex cone intersected with an affine preimage of another cone. We analyse three constraint qualificat…
A Gilmore-Gomory-Type Construction of Integer Programming Value Functions
Seth Brown, Wenxin Zhang, Temitayo Ajayi +1
In this paper, we analyze how sequentially introducing decision variables into an integer program (IP) affects the value function and its level sets. We use a Gilmore-Gomory approa…
Theorems of the Alternative for Conic Integer Programming
Temitayo Ajayi, Varun Suriyanarayana, Andrew J. Schaefer
Farkas' Lemma is a foundational result in linear programming, with implications in duality, optimality conditions, and stochastic and bilevel programming. Its generalizations are k…
Approximate Submodularity and Its Implications in Discrete Optimization
Temitayo Ajayi, Taewoo Lee, Andrew Schaefer
Submodularity is a key property in discrete optimization. Submodularity has been widely used for analyzing the greedy algorithm to give performance bounds and providing insight int…