Multicommodity distribution problem is one of the most interesting and useful models in mathematical programming due to its major role in distribution networks. The purpose of this paper is to describe and solve a special class of multicommodity distribution problems in which shipment of a commodity from a plant to a customer would go through different distribution centers. The problem is t...

The mathematical programming formulation language is a very powerful tool used to formalize optimization problems by means of parameters, decision variables, objective functions and constraints. Such diverse settings as combinatorial, integer, continuous, linear and nonlinear optimization problems can be defined precisely by their corresponding mathematical programming formulations. Its power i...

CHAPTER I: INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-1 1.1 Practical Problem Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-1 1.2 Mathematical Programming Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-1 1.3 Mathematical Programming in Use . . . . . . . . ...

If a mathematical program (be it linear or nonlinear) has many symmetric optima, solving it via Branch-and-Bound techniques often yields search trees of disproportionate sizes; thus, finding and exploiting symmetries is an important task. We propose a method for: (a) automatically finding the formulation group of any given Mixed-Integer Nonlinear Program, and (b) reformulating the problem so th...

in this paper, a mathematical modeling is developed for plastic analysis of planar frames. to this end, the researcher tried to design an optimization model in linear format in order to solve large scale samples. the computational result of cpu time requirement is shown for different samples to prove efficiency of this method for large scale models. the fundamental concept of this model is obta...

this paper presents a simple methodology for cost estimation of a near optimal heat exchanger network, which comprises mixed materials of construction. intraditional pinch technology and mathematical programming it is usually assumed that all heat exchangers in a network obey a single cost model. this implies that all heat exchangers  in a network are of the same type and use the same materials...