# title
A new multiparametric mixed-integer quadratic programming algorithm

# abstract
Publisher A number of important engineering problems, such as mixed logical dynamic systems, which simultaneously involve process dynamics and logical constraints, can be reformulated as multiparametric mixed-integer quadratic programs (mp-MIQP) by treating the control variables as the optimization variables and the state variables as parametersthe quadratic terms appear only in the objective function. This chapter presents an algorithm for the solution of mp-MIQPs. The solution of mp-MIQPs is given by an enclosure of the nonlinear profiles of the control variables as a function of the state variables. The optimal solution is then obtained, online, by evaluating the profiles for a given value of the state variables and then choosing the minimum of the values corresponding to different profiles. The mathematical foundations and the algorithm for the solution of mp-MIQPs are proposed.

# authors[].organizations[].label
Texas A&M Engineering Experiment Station (TEES)

# keywords[]
4019 Resources Engineering And Extractive Metallurgy

# authorList[]
Dua, V., Bozinis, N. A., & Pistikopoulos, E. N.