Implementation of Mixed-Integer Programming in LogicBlox
ثبت نشده
چکیده
Mathematical Programming (MP) is a technique for finding the minimum or the maximum of (i.e., optimizing) a given function, referred to as the objective function, by systematically choosing real or integer values of the function’s variables from a value domain defined by a set of constraints. We are interested in MP problems in which (1) the objective function is linear, and (2) all constraints are linear equalities or inequalities. MP is extensively applied in business, economics, as well as engineering, in particular in the areas of transportation, energy, telecommunication, and manufacturing. The technique has proved useful in modeling diverse types of problems related to planning, routing, scheduling, assignment, and design.
منابع مشابه
Sufficient global optimality conditions for general mixed integer nonlinear programming problems
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...
متن کاملComparing Mixed-Integer and Constraint Programming for the No-Wait Flow Shop Problem with Due Date Constraints
The impetus for this research was examining a flow shop problem in which tasks were expected to be successively carried out with no time interval (i.e., no wait time) between them. For this reason, they should be completed by specific dates or deadlines. In this regard, the efficiency of the models was evaluated based on makespan. To solve the NP-Hard problem, we developed two mathematical mode...
متن کاملALTERNATIVE MIXED INTEGER PROGRAMMING FOR FINDING EFFICIENT BCC UNIT
Data Envelopment Analysis (DEA) cannot provide adequate discrimination among efficient decision making units (DMUs). To discriminate these efficient DMUs is an interesting research subject. The purpose of this paper is to develop the mix integer linear model which was proposed by Foroughi (Foroughi A.A. A new mixed integer linear model for selecting the best decision making units in data envelo...
متن کاملGlobal optimization of mixed-integer polynomial programming problems: A new method based on Grobner Bases theory
Mixed-integer polynomial programming (MIPP) problems are one class of mixed-integer nonlinear programming (MINLP) problems where objective function and constraints are restricted to the polynomial functions. Although the MINLP problem is NP-hard, in special cases such as MIPP problems, an efficient algorithm can be extended to solve it. In this research, we propose an algorit...
متن کاملA fuzzy mixed-integer goal programming model for a parallel machine scheduling problem with sequence-dependent setup times and release dates
This paper presents a new mixed-integer goal programming (MIGP) model for a parallel machine scheduling problem with sequence-dependent setup times and release dates. Two objectives are considered in the model to minimize the total weighted flow time and the total weighted tardiness simultaneously. Due to the com-plexity of the above model and uncertainty involved in real-world scheduling probl...
متن کامل