1. The network topology is characterized in the language of graph theory (e.g. tree, 0-chain, 1-chain) [1] [2]. By this means, the set of steady-state fluxes can be parameterized explicitly. 2. A particular steady-state solution is selected. This steady-state solution is used to generate a nominal, stationary routing algorithm for the stochastic flow problem. 3. However, to ensure the network o...

In this paper, we study an integrated logistic system where the optimal location of depots and vehicles routing are considered simultaneously. This paper presents a new mathematical model for a multi-objective capacitated location-routing problem with a new set of objectives consisting of the summation of economic costs, summation of social risks and demand satisfaction score. A new multi-objec...

This paper presents new efficient methods to find “optimal bi-decomposition” forms of logic functions. An “optimal bi-decomposition” form of f(X) is f = α(g1(X ), g2(X )) where the total number of variables in X and X is the smallest among all bi-decomposition forms of f . We consider two methods; one’s decomposition form is (g1 · g2) and the other’s is (g1⊕g2). The proposed methods can find on...

This paper presents a new method for analyzing words in the Persian language context to find orthographical and structural errors regardless of the meaning. This technique tokenizes each word in a statement then tries to detect the kind of word, and analyses its correctness in terms of orthography and morphology by means of a lexicon. It should be noted that some words in the Persian language h...

There are several methods to ranking DMUs in Data Envelopment Analysis (DEA) and candidates in voting system. This paper proposes a new two phases method based on DEA’s concepts. The first phase presents an aspiration rank for each candidate and second phase propose final ranking.

This paper presents an approach for solving a nonlinear stochastic differential equations (NSDEs) using a new basis functions (NBFs). These functions and their operational matrices are used for representing matrix form of the NBFs. With using this method in combination with the collocation method, the NSDEs are reduced a stochastic nonlinear system of equations and unknowns. Then, the error ana...

In this paper, we introduce the concept of interval valued fuzzy weak bi-ideals of $Gamma$-near-rings, which is a generalized concept of fuzzy weak bi-ideals of $Gamma$- near-rings. We also characterize some properties and examples of interval valued fuzzy weak bi-ideals of $Gamma$-near-rings.

this paper presents a new index of financial stress which is constructed by macro data from different financial markets (including banking sector and also housing, foreign exchange and stock markets). the proposed approach has been applied to the iranian economy based on the available quarterly time series, covering the period 1991(1)–2008(2). the paper explains how the selected components capt...

In this paper, we establish new exact solutions for some complex nonlinear wave equations. The B"{a}cklund transformation method of Riccati equation is used to construct exact solutions of the Hamiltonian amplitude equation and the coupled Higgs field equation. This method presents a wide applicability to handling nonlinear wave equations. These equations play a very important role in mathemati...

responsibility in demand networks is one of the most important measures of performance. the concept of agility and flexibility in service and production. variety and changes in demand need more flexible network design that can cope with potential shortage and delay. this paper presents new mathematical model to optimize the design of demand network when there are highly variable demands. it als...