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The research on economic balance and balanced competition is the initial concept that has reflected the idea of multi-objective programming which is usually encountered in the modeling of green buildings. This concept has laid the base in building a multi-objective optimization problem, for the establishment of model and calculation. By establishing a nonlinear planning model for determining the control target value of the project and by calculating the results, it is assumed that the sample is estimated as a very large likelihood, with consistency and non-biasing. In this paper several variables are analyzed and focus has been paid to weather conditions by making several interpretations: If the weather is good, the p it = 1, the engine can successfully complete the project amount of the plan; if constructed, when the weather is not conducive to engineering construction, then pit < 1 indicates that the increasing amount caused by the imbalance is used. Thus, the imbalance of resources has increased the entire project cost; the usage of closer approach to investment reflects less payment, small use of funds, therefore lower will be the cost. By establishing a model to determine the control target value of the project, the total amount of actual investment is 153.439 million Yuan, after the results calculation is optimized and the total cost after the initial progress plan is 5.34 million Yuan, combined with the project. Using NLP cost optimization is obtained with the overall construction efficiency. [ABSTRACT FROM AUTHOR]

In this paper, a generalized fractional programming problem with linear constraints and the objective function is the sum of the functions of the form Minimize … Subject to the linear constraints Ax ≥ b, and x ≥ 0 where a'x+p , c'x + q and e'x + r are linear functions has been discussed. Solution of the above generalized fractional programming problem can be recovered by reducing it to a fractional programming problem. [ABSTRACT FROM AUTHOR]

ABS methods have been studied a lot in last few years . This paper gives a review of work done by few researchers for applying ABS algorithm for different problems i.e; for solving determined or undetermined linear systems , linear least square optimization problem and integer equations and linear programming problems. [ABSTRACT FROM AUTHOR]

In this paper a method is proposed to solve fractional programming problem in which the functional relationship between the decision variables and the objective function is not completely known. Here we established the crisp functional relationship between the objective function and the decision variables and solve the resulting programming problem to find a fair optimal solution to the original problem. An example is given in the last to illustrate the result. [ABSTRACT FROM AUTHOR]