In this article, we propose a method based on new ranking technique to find optimal solution for pentagonal fuzzy transportation problem. Firstly, the proposed which is centroid concept applied. This transforms problem crisp and then algorithm applied of in form. Also, initial basic feasible (IBFS) valued problems introduced paper. Further, give two numerical illustrations newly compare obtaine...

Abstract: We consider the so-called generic combinatorial optimization problem, where the set of feasible solutions is some family of subsets of a finite ground set with specified positive initial weights of elements, and the objective function represents the total weight of elements of a feasible solution. We assume that the weights of all elements may be perturbed simultaneously and independe...

We give a correspondence between two notions of complexity for real numbers and functions: poly-time computability according to Ko and a notion that arises naturally when one considers the application of Melhorn’s class of the Basic Feasible Functionals to computable analysis. We show that both notions define the same set of real numbers and functions.

Transportation Problem (TP) cost is a term that refers to the operating costs associated with transportation. The of transportation critical in order optimize profit. In recent time, competitive global market and enterprises must carefully organize their systems keep low. Modeling this transport channel management choice entails determining most cost-effective distribution strategy for single h...

The primal-dual method (or primal-dual schema) is another means of solving linear programs. The basic idea of this method is to start from a feasible solution y to the dual program, then attempt to find a feasible solution x to the primal program that satisfies the complementary slackness conditions. If such an x cannot be found, it turns out that we can find a better y in terms of its objectiv...

The primal-dual method (or primal-dual schema) is another means of solving linear programs. The basic idea of this method is to start from a feasible solution y to the dual program, then attempt to find a feasible solution x to the primal program that satisfies the complementary slackness conditions. If such an x cannot be found, it turns out that we can find a better y in terms of its objectiv...

We consider a linear problem over a finite set of integer vectors. We assume that there is a verification oracle, which is an algorithm being able to verify whether a given vector optimizes a given linear function over the feasible set. Given an initial solution, the algorithm proposed in this paper finds an optimal solution of the problem together with a path, in the 1-skeleton of the convex h...

This paper considers a biobjective transportation problem with various fuzzy objective functions coefficients. Fuzzy coefficients can be of different types such as triangular, trapezoidal, (semi) $L-R$, or flat (semi) $L-R$ fuzzy numbers. First, we convert the problem to a parametric interval biobjective transportation problem using $gamma$-cuts of fuzzy coefficients. Then, we consider a fix $g...

In this study, degradation of p-chlorophenol (p-CP) was evaluated using persulfate (PS) activated zerovalent iron (ZVI) based ultraviolet (UV) in a bench scale photoreactor. The effect of operational parameters such as solution pH (3, 7, and 11), reaction time (0-60 minutes), ZVI dosage (0.15, 1.25, 0.5, 1, and 1.5 mM), PS concentration (0.5, 1.5, 2, 2.5, 3, and 4 mM), and initial p-CP concentr...

Structured design of analogue electronics has been devised as an alternative methodology of design that resorts to basic concepts of circuit theory and general electronics in order to achieve a hierarchy-driven design process. On the contrary to traditional methods of design, where a previously designed circuit is used as initial guess in the design procedure, structured design has as starting ...