This paper summarizes and compares approaches to solving the knapsack problem and its known application in capital budgeting. The first approach uses deterministic methods and can be applied to small-size tasks with a single constraint. We can also apply commercial software systems such as the GAMS modelling system. However, because of NP-completeness of the problem, more complex problem instan...

Reactive transport equations are used in numerous application fields: CO2 or nuclear waste storage monitoring, separation process in chemical engineering. We present a general method to account robustly for instantaneous equilibriums in reactive transport. This method is adapted to all kind of hydraulic transport models including 1D to 3D convection-diffusion equations. This leads to the resolu...

in the last two decades due to globalization of supply chain, enormous changes occurred in chains. leaders in this field, always facing new risks and disorders that should prepare themselves to deal with them. in the recent years, sanctions as one of the most serious risks have damaged the supply chains. however, in the research related to global supply chains, modeling of disruption has been n...

This paper presents a generation expansion model for the power sector which incorporates several features that make it very interesting for its application to current electricity markets: it considers the possible oligopolistic behavior of firms, and incorporates relevant policy instruments, carbon emissions trading and tradable green certificates. It combines powerful traditional tools related...

The broad conceptual postulate that systems engineering techniques developed for complex chemical processes may be applicable to complex cell biological processes is very compelling. However, a naïve, "direct" application of systems engineering techniques to biological problems of practical significance may be rendered virtually ineffective by fundamental differences between cell biology and ch...

To date, therapeutic method for in vivo gene delivery has not been established on bone engineering though its potential usefulness has been suggested. For clinical applications, an effective condition should be developed to transfer the genes in vivo without any transfection reagents or virus vectors. In this study, to facilitate the clinical setting of this strategy, particularly aimed at atro...

This paper presents a theory of test modeling by using regular expressions for software behaviors. Unlike the earlier modeling theory of regular expression, the proposed theory is used to build a test model which can derive effective test sequences easily. We firstly establish an expression algebraic system by means of transition sequences and a set of operators. And we then give the modeling m...

This document shows how to model two-stage stochastic linear programming problems in a GAMS environment. We will demonstrate using a small example, how GAMS can be used to formulate and solve this model as a large LP or using specialized stochastic solvers such as OSL-SE and DECIS. Finally a tailored implementation of the Benders Decomposition algorithm written in GAMS is used to solve the model.