HYBRID METHODOLOGY OF NONLINEAR GOAL PROGRAMMING
Journal Title: Acta Economica - Year 2003, Vol 2, Issue 2
Abstract
What we demonstrate here is a nonlinear goal-programming (NLCP) algorithm based on original hybrid connection of the modified simplex method of goal programming, gradient method of feasible directions and method of optimal displacement size finding-called HMNLCP. Iterative proceedings are given in five steps: (1) linearizing the set of nonlinear constraints at particular point, (2) solving of normalized linear goal programming problem, (3) feasible direction computation, (4) optimal displacement step length calculating, and (5) check the problem convergence. Our idea was to apply Euler's theorem for the "total" linearization of the nonlinear constraints in the region about the particular point. Owing to Euler's homogenous function theorem, it is possible to apply this methodology to solve the non-linear goal programming problems regardless of whether the nonlinear constraint functions are linearly or positively homogenous.
Authors and Affiliations
Лазо Рољић, PhD
Keywords
Related Articles
- EP ID EP43573
- DOI -
- Views 253
- Downloads 0
THE PROMOTION OF EXPORT AS BASIC POSTULATION OF LONGTERM STRATEGY OF DEVELOPMENT (EXAMPLE OF BOSNIA AND HERZEGOVINA)
The final goal of national economic policy is an increase of life standard of the population. Theory explains and economic events confirm positive effects of export on economic development. The strategy of growth of o...
ENTREPRENEURSHIP, BUSINESS DECISIONS AND ACCOUNTING ANALYSIS
Many researchers see the key factor to entrepreneurial success being the comannd over critical information. Entrepreneurs are individuals who have the ability to identify and evaluate development opportunities; the ab...
SOCIAL - ECONOMICAL CHANGES AND THE QUALITY OF LIFE IN REPUBLIC OF SRPSKA (BOSNIA AND HERZEGOVINA)
A war in Republic of Srpska started soon thereafter, counsing widespread destruction and loss of life. The war had significant consequences for the country. In addition to the material destruction and loss of life, there...
Domains and limitations of the utilization of cryptocurrencies and blockchain technology in international business and financial markets
The subject of this paper is to analyse utilization of cryptocurrencies in international business. The objectives of the research are to provide the scientific and professional public, researchers and practitioners with...
Openness to trade and competitiveness of small transitional economies
Impact of openness to trade on overall economic growth/development and competitiveness is highly debatable subject amongst the economists with still unclear conclusions. The question of openness is particularly important...