International Journal of Industrial Mathematics
Year:2021 | Volume:13 | Issue:2|Papers Count:9

In this paper, we consider the nonlinear equations with the additive white noise, which are commonly impossible to be solved by an analytical procedure. The Block-Pulse functions as basic functions are proposed to solve these equations. In order to investigate the validity of this method, we used the Adomian decomposition method to approximate the solution of the stochastic Du ng equations. The results reveal that the proposed method is very e ective.

As a technique based on mathematical programming, Data Envelopment Analysis (DEA) is used for evaluating the e ciency of homogeneous Decision Making Units (DMUs). DEA models need accurate input and output data. In many situations, on the one hand, accurate measurement of inputs and outputs is di cult due to their volatility and complexity. This con ict results in uncertain DEA models. Its main problem is transformation of deterministic equivalent of stochastic model into quadratic programming, time-consuming and complexity and it requires presuppositions. By means of Bi-objective multiple criteria DEA (Bio-MCDEA) model that considers stochastic data, our proposed model reduces some of these problems and facilitates problem solving through presenting primary presupposition and  nal linear model. The e ciency score of DMUs is determined by applying stochastic Bio-MCDEA model. Eventually, we used the data of seventeen Iranian electricity distribution companies to illustrate the methods developed in the present paper.

For an analytic self-map φ of the unit disk D in the complex plane C, a nonnegative integer n, and u analytic function on D, weighted di erentiation composition operator is de ned by (D n φ ; u f)(z) = (n) u(z)f (φ (z)), where f is an analytic function on D and z 2 D. In this paper, we study the boundedness and compactness of D n φ ; u, from weighted Bergman spaces with admissible weights to Bloch-type spaces.

This paper uses a new framework for solving a class of linear matrix di erential equations. For doing so, the operational matrix of the derivative based on the shifted Bernstein polynomials together with the collocation method are exploited to decrease the principal problem to system of linear matrix equations. An error estimation of this method is provided. Numerical experiments are reported to show the applicably and e ciency of the propounded method.

There exist several approaches for deriving a common set of weights in data envelopment analysis (DEA) literature. However, most of these approaches are based on complicated models. In this paper, a new practical approach is proposed to provide a common set of weights. The results of the new approach are compared with some of the existing models through several numerical examples.

In this paper, just-in-time scheduling problem with batch delivery and due date assignment for hybrid ow shop robotic cells is considered. A mixed integer linear programming (MILP) model is presented to determine the sequence of jobs and robot moves. Two meta-heuristic algorithms including Arti cial Immune System (AIS) and Tabu Search (TS) are proposed. The results show that AIS performs well for this problem.

Digital social network services are same social networks which people call it in their everyday language. Social media platforms and web sites that enable knowledge transfers through social networks are digital tools designed to build social networks and develop them. The interest and the high use of social networks is make these environments available for a variety of activities, including economic, cultural, political, and etc. Opinion leaders one of the signi cant issues that exists in these environments which have high in uence on other users. Opinion leaders in social networks are bene cial and we will be able to use their empowerment and in uence by identifying them. In this paper, we have chosen the opinion leaders with Grey Wolf Optimizer (GWO) algorithm. It mimics the leadership hierarchy and hunting mechanism of grey wolves in nature and include 3 main steps of hunting, searching for prey, encircling prey, and attacking prey. Based on the investigations and the results, number of actual opinion leaders identi ed by this algorithm are signi cant and the advantage of proposed method is compatibility with di erent criteria and providing sustainability results in di erent ways.

The main purpose of this paper is to introduce the notion of -fusion frames in Hilbert modules over locally C-algebras to study some properties about these frames. We present some results of frames in the view of -fusion frames in Hilbert modules over locally C-algebras, inparticular we give the reconstruction formula for these frames.

Due to the growing global pressures for industries to become more sustainable, organizations are forced to implement new management practices at all organizational levels to achieve sustainability in the supply chain. New management practices should be measured in terms of assessing the sustainability performance. The purpose of this paper is to provide a model for assessing the sustainability performance of lean, agile, resilient, and green (LARG) supply chain management practices in the automotive supply chain using the system dynamics approach. In this paper, LARG supply chain management practices were identi ed and were prioritized using fuzzy DEMATEL and fuzzy analytic network process. The  ndings show that scenarios of improvement in the implementation of total quality management, just in time, exible transportation and combined scenario (just in time and long-term relationships with suppliers) will lead to a more sustainable supply chain. The results of these scenarios show improvement of sustainability in the supply chain. Also the results show that lean strategy is a very important for achieving sustainability in the supply chain.