background operating room (or) planning involves the creation of a “master surgical schedule” in which surgeons are assigned to specific operating rooms (ors) on specific days of a week. the master schedule is typically one or two weeks long repeatable for several months. objectives the purpose of this study was to recommend using a mathematical program to generate a rotation in a way that the ...

Motivated by the significant advances in integer optimization in the past decade, we introduce mixed-integer optimization methods to the classical statistical problems of classification and regression and construct a software package called CRIO (classification and regression via integer optimization). CRIO separates data points into different polyhedral regions. In classification each region i...

‎in this paper‎, ‎some kkt type sufficient global optimality conditions‎ ‎for general mixed integer nonlinear programming problems with‎ ‎equality and inequality constraints (minpp) are established‎. ‎we achieve‎ ‎this by employing a lagrange function for minpp‎. ‎in addition‎, ‎verifiable sufficient global optimality conditions for general mixed‎ ‎integer quadratic programming problems are der...

Abstract In this contribution, we extend the principle of integer bootstrapping (IB) to a vectorial form (VIB). The mathematical definition class VIB-estimators is introduced together with their pull-in regions and other properties such as probability bounds success rate approximations. formulation allows sequential block-by-block processing ambiguities based on user-chosen partitioning. way, f...