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Operating-Room scheduling under uncertainty: balancing elective and emergency surgeries. [PDF]
Health Care Manag SciSadegh Zadeh H +3 more
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A Monte Carlo-Based Framework for Two-Stage Stochastic Programming: Application to Bond Portfolio Optimization. [PDF]
Entropy (Basel)Albaqami H, Mrad M, Gharbi A, Subasi MM.
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Presolve Reductions in Mixed Integer Programming
INFORMS Journal on Computing, 2020Mixed integer programming has become a very powerful tool for modeling and solving real-world planning and scheduling problems, with the breadth of applications appearing to be almost unlimited. A critical component in the solution of these mixed integer programs is a set of routines commonly referred to as presolve.
Tobias Achterberg +2 more
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Decomposition Branching for Mixed Integer Programming
Operations Research, 2022Applications of mixed integer programming can be found in many industries, such as transportation, healthcare, energy, and finance, and their economic impact is significant. It is also well known that mixed integer programs (MIPs) can be very difficult to solve.
Baris Yildiz 0001 +2 more
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Network Formulations of Mixed-Integer Programs [PDF]
Mathematics of Operations Research, 2006 We consider mixed-integer sets described by system of linear inequalities in which the constraint matrix A is totally unimodular; the right-hand side is arbitrary vector; and a subset of the variables is required to be integer. We show that the problem of checking nonemptiness of a set of this type is NP-complete, even in the case in which the linear ...
CONFORTI, MICHELANGELO +3 more
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Mixed-integer programming for control
Proceedings of the 2005, American Control Conference, 2005., 2005The article describes how mixed-integer programming (MIP) can be employed for feedback control. MIP can be used to find optimal trajectories subject to integer constraints, which can encode discrete decisions or nonconvexity, for example. This optimization can be performed online within model predictive control (MPC) to implement a feedback control law.
Richards, AG, How, JP
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Structure Detection in Mixed-Integer Programs
INFORMS Journal on Computing, 2018Despite vast improvements in computational power, many large-scale optimization problems involving integer variables remain difficult to solve. Certain classes, however, can be efficiently solved by exploiting special structure. One such structure is the singly bordered block-diagonal (BBD) structure that lends itself to Dantzig-Wolfe decomposition ...
Taghi Khaniyev +2 more
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A Biobjective Perspective for Mixed-Integer Programming
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2022A mixed-integer programming (MIP) problem contains not only constraints but also integer restrictions. Integer restrictions divide the feasible region defined by constraints into multiple discontinuous feasible parts with different sizes. Several popular methods (e.g., rounding and truncation) have been proposed to deal with integer restrictions ...
Jiao Liu 0006 +3 more
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Learning To Scale Mixed-Integer Programs
Proceedings of the AAAI Conference on Artificial Intelligence, 2021Many practical applications require the solution of numerically challenging linear programs (LPs) and mixed integer programs (MIPs). Scaling is a widely used preconditioning technique that aims at reducing the error propagation of the involved linear systems, thereby improving the numerical behavior of the dual simplex algorithm and, consequently, LP ...
Timo Berthold, Gregor Hendel
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