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- Natashia Boland, Hadi Charkhgard, Martin W. P. Savelsbergh
- INFORMS Journal on Computing
- 2015

We present a new criterion space search algorithm, the balanced box method, for finding all nondominated points of a biobjective integer program. The method extends the box algorithm, is easy to… (More)

- Natashia Boland, Hadi Charkhgard, Martin W. P. Savelsbergh
- INFORMS Journal on Computing
- 2015

We present the first criterion space search algorithm, the triangle splitting method, for finding all nondominated points of a biobjective mixed integer program. The algorithm is relatively easy to… (More)

- Natashia Boland, Hadi Charkhgard, Martin W. P. Savelsbergh
- Math. Program. Comput.
- 2016

We present a new criterion space search method, the L-shape search method, for finding all nondominated points of a triobjective integer program. The method is easy to implement, and is more… (More)

We present the first criterion space search algorithm, the triangle splitting method, for finding the efficient frontier of a biobjective mixed integer program. The algorithm is relatively easy to… (More)

- Natashia Boland, Hadi Charkhgard, Martin W. P. Savelsbergh
- European Journal of Operational Research
- 2017

We present a new variant of the full 2-split algorithm, the Quadrant Shrinking Method (QSM), for finding all nondominated points of a tri-objective integer program. The algorithm is easy to implement… (More)

We present a new variant of the full (p − 1)-split algorithm, the Quadrant Shrinking Method, for finding all nondominated points of a triobjective integer program. The algorithm is easy to implement… (More)

We investigate two routing problems that arise when order pickers traverse an aisle in a warehouse. The routing problems can be viewed as Euclidean travelling salesman problems with points on two… (More)

In conservation planning, the data related to size, growth and diffusion of populations is sparse, hard to collect and unreliable at best. If and when the data is readily available, it is not of… (More)

- Natashia Boland, Hadi Charkhgard, Martin W. P. Savelsbergh
- European Journal of Operational Research
- 2017

We present a new algorithm for optimizing a linear function over the set of efficient solutions of a multiobjective integer program (MOIP). The algorithm’s success relies on the efficiency of a new… (More)

A Feasibility Pump and Local Search Based Heuristic for Bi-Objective Pure Integer Linear Programming

- Aritra Pal, Hadi Charkhgard
- INFORMS Journal on Computing
- 2019

We present a new heuristic algorithm to approximately generate the nondominated frontier of bi-objective pure integer linear programs. The proposed algorithm employs a customized version of several...