calculation of lateral earth pressure on retaining walls is one of the main issues in geotechnics. the upper and lower bound theorems of plasticity are used to analyze the stability of geotechnical structures include bearing capacity of foundations, lateral earth pressure on retaining walls and factor of safety of slopes. in this paper formulation of finite element limit analysis is introduced ...

data envelopment analysis (dea) is a technique used to evaluate the relative efficiency of comparable decision making units (dmus) with multiple input-output. it computes a scalar measure of efficiency and discriminates between efficient and inefficient dmus. it can also provide reference units for inefficient dmus without consideration of the decision makers’ (dms) preferences. in this paper, ...

The problem of inversion dynamic systems has become widespread while solving the problems control, identification, and measurement arising during design research electrical mechanical systems. Inverting is an effective way implementing disturbance control processes, as well in combined with a predictive model. analysis information sources showed that practical solution most problems, number dif...

If P ⊂ R is a rational polytope, then iP (n) := #(nP ∩Z ) is a quasipolynomial in n, called the Ehrhart quasi-polynomial of P . The period of iP (n) must divide D(P ) = min{n ∈ Z>0 : nP is an integral polytope}. Few examples are known where the period is not exactly D(P ). We show that for any D, there is a 2-dimensional triangle P such that D(P ) = D but such that the period of iP (n) is 1, th...

linear programming has been employed in many areas of constrained optimization including in agricultural planning for a long time. one of the most important disadvantages of such a method is that there is only one optimum solution for a given objective function and constraints set. another method named nearly optimal linear programming has been developed for solving the problem. this method can...

Abstract In this paper we have investigated a fuzzy linear programming problem with fuzzy quantities which are LR triangular fuzzy numbers. The given linear programming problem is rearranged according to the satisfactory level of constraints using breaking point method. By considering the constraints, the arranged problem has been investigated for all optimal solutions connected with satisf...

In this paper, a new method is proposed to find the fuzzy optimal solution of fully fuzzy linear programming (abbreviated to FFLP) problems. Also, we employ linear programming (LP) with equality constraints to find a nonegative fuzzy number vector x which satisfies Ax =b, where A is a fuzzy number matrix. Then we investigate the existence of a positive solution of fully fuzzy linear system (FFLS).