fuzzy linear programming problem occur in many elds such as mathematical modeling, control theory and management sciences, etc. in this paper we focus on a kind of linear programming with fuzzy numbers and variables namely fully fuzzy linear programming (fflp) problem, in which the constraints are in inequality forms. then a new method is proposed to ne the fuzzy solution for solving (fflp). ...

using the mathematic techniques such as fuzzy approach has useful outcomes for production planning in different sources. in this paper lgp1 was used to model the objectives such as: avoidance of shortage or surplus of demand, access to maximum of income, using the normal capacity of production and organizing the inventory of warehouse, within the framework of goal constraints like balancing be...

Geometric programming is a mathematical technique, which has been developed for nonlinear optimization problems. This technique is based on the dual program with linear constraints. Determination of species concentrations in chemical equilibrium conditions is one of its applications in chemistry and chemical engineering fields. In this paper, the principles of geometric programming and its comp...

Proof. Let x ∈ P . We show a more general claim: if x tightly fulfills r independent constraints, then x can be expressed as a convex combination of at most n+ 1− r vertices. Substituting r = 0 we get the theorem. We prove the claim by induction on r, where the basis is r = n and we decrease r in each step. The basis of the induction is r = n and thus n constraints are fulfilled tightly. By the...

Colorful linear programming (CLP) is a generalization of linear programming that was introduced by Bárány and Onn. Given k point sets C1, . . . , Ck ⊂ R that each contain a point b ∈ R in their positive span, the problem is to compute a set C ⊆ C1 ∪ · · · ∪ Ck that contains at most one point from each set Ci and that also contains b in its positive span, or to state that no such set exists. CLP...

Parametric programming has received a lot of attention in the control literature in the past few years because model predictive controllers (MPC) can be posed in a parametric framework and hence pre-solved offline, resulting in a significant decrease in on-line computation effort. In this paper we survey recent work on parametric linear programming (pLP) from the point of view of the control en...

Energy saving is an important issue in Mobile Ad Hoc Networks (MANETs). Recent studies show that network coding can help reduce the energy consumption in MANETs by using less transmission. However, apart from transmission cost, there are other sources of energy consumption, e.g., data encryption/decryption. In this project, the network coding is done to reduce the energy consumed by data encryp...

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).