Solution of ill-conditioned models, dual to Leontiev–Ford’s model, taking into account the disposal of hazardous wastes

The paper presents a model, dual to Leontiev–Ford’s model, taking into account the disposal of hazardous wastes. The case, when in practice while constructing the model its elements can be defined inaccurately, that can greatly affect the result of the solution, is studied. The technique of non-negative solution of the described model by means of regularization method (by A. N. Tikhonov) for those cases, when it is ill conditioned, is developed. The efficiency of the chosen method of solution is shown. Based on the methodology, the algorithm of non-negative solution of the studied model is developed. Software implementation of this algorithm in the form of programming product "Regularized 3" in Delphi 7 is made. A detailed analysis of profitability of the balance model of the closed joint-stock company "Karachai brewery" based on the software product "Regularized 3", taking into account the funds spent on recycling allocated to the production of gross product and the money spent on the destruction of wastes, newly emerged in the course of recycling, is described. Software implementation of the results of the researches should be used for the detailed analysis of profitability of the balance model (of large size) of business entities in case of their ill-conditioning.