Chornei N. Leontieff - Ford Type Models, Computational Large Scale Problem Solving Procedures

The dissertation is devoted to the investigation of ecological and economic Leontieff - Ford type models and the algorithms for resolving of large scale problems. Generalizations of input-output balance ecological and economic Leontieff - Ford type models take into consideration payment for right to pollution and have three statements: balance model and two optimization models with criterion function expresses expenses of economy for emission and destruction of pollution. The second optimization model deals with the opportunity of technogenous ecological accident. The application of the developed algorithms enables to consider sparsely, bad conditionality and singular normative coefficient matrix, integer variables, and error of calculations. It has been performed the computational experiments and has been theoretically proved the efficiency of application of algorithms of the consecutive variant analysis to Leontieff - Ford type models.