Applications of mixed integer programming can be found in many industries, such as transportation, healthcare, energy, and finance, their economic impact is significant. It also well known that programs (MIPs) very difficult to solve. Their challenge continues stimulate research the design implementation efficient effective techniques better solve them. In this study, we introduce a novel power...

Nurse scheduling is a topic widely studied due to its overall effect on patient care and hospital performance. This research focuses formulating Mixed Integer Programming (MIP) workforce model as nurse rostering problem. The incorporates multiple objectives of individual preference qualification. approached by categorizing nurses into different hierarchical levels based their qualifications pos...

Environmental concerns prompt the world for a transition to renewable energy sources from fossil energy. Reducing dependency on non-renewable of is prerequisite sustainable and less environmental pollution. Biogas energy, which one most important sources, produced by burning organic wastes can be used in many different fields. In this study, two-stage approach undertaken optimize biogas supply ...

We study the mixed–integer knapsack polyhedron, that is, the convex hull of the mixed–integer set defined by an arbitrary linear inequality and the bounds on the variables. We describe facet–defining inequalities of this polyhedron that can be obtained through sequential lifting of inequalities containing a single integer variable. These inequalities strengthen and/or generalize known inequalit...

In biobjective mixed integer linear programs (BOMILPs), two linear objectives are minimized over a polyhedron while restricting some of the variables to be integer. Since many of the techniques for finding or approximating the Pareto set of a BOMILP use and update a subset of nondominated solutions, it is highly desirable to efficiently store this subset. We present a new data structure, a vari...

This study addresses a stochastic structure for generation companies (GenCoʼs) that participate in hydro-thermal self-scheduling with a wind power plant on short-term scheduling for simultaneous reserve energy and energy market. In stochastic scheduling of HTSS with a wind power plant, in addition to various types of uncertainties such as energy price, spinning /non-spinning reserve prices, unc...

zinc is the first modelling language which supports solver and technique independence. this means that a high level conceptual model can be automatically mapped into an appropriate low level design model for a specific solver or technique. to date, zinc uses three different techniques to solve a model: constraint programming (cp), local search (ls), and mixed integer programming (mip). in this ...