The inverse spanning tree problem is to make a given spanning tree be a minimum spanning tree on a connected graph via a minimum perturbation on its edge weights. In this paper, a chance-constrained programming model is proposed to handle the inverse spanning tree problem where the edge weights are assumed to be uncertain variables. It is shown that such an uncertain minimum spanning tree can b...

in this article, an effective method to control a power system during emergency conditions is presented. based on fuzzy linear programming (flp), a new technique is developed to solve the load shedding and generation reallocation (lsgr) optimization problem. the objective function consists of terms of load curtailments and deviations in generation schedules. the constraints are power system var...

wind power generation is variable and uncertain. in the power systems with high penetration of wind power, determination of equivalent operating reserve is the main concern of systems operator. in this paper, a model is proposed to determine operating reserves in simultaneous market clearing of energy and reserve by stochastic programming based on scenarios generated via monte carlo simulation ...

supply chain network design decisions are among the strategic decisions of supply chain management which play significant role on the efficient performance of the supply chain. however, there are two challenging factors which may have great impact on the supply chain performance. these factors are on the one hand disruptions and their attendant damages and on the other hand uncertain nature of ...

By fuzzy random programming, we mean the optimization theory dealing with fuzzy random decision problems. This paper presents a new concept of chance of fuzzy random events and then constructs a general framework of fuzzy random chance-constrained programming (CCP). We also design a spectrum of fuzzy random simulations for computing uncertain functions arising in the area of fuzzy random progra...

Uncertain object-oriented logic programming is a combination of logic programming, object-oriented programming and uncertainty logic to exploit the advantages of all three disciplines in dealing with real world problems. This paper presents the implementation of Fril++, the Fril-based object-oriented logic programming language with uncertainty. Fril++ syntax is introduced and related semantic i...

In this paper, based on uncertainty theory, a new class of two-stage uncertain programming model is presented firstly, and its deterministic equivalent programming problem is also characterized. Then some fundamental properties of the two-stage uncertain programming problem, including the convexity of feasible set as well as objective function, are investigated. Since the complexity of programm...

An inverse minimum spanning tree problem makes the least modification on the edge weights such that a predetermined spanning tree is a minimum spanning tree with respect to the new edge weights. In this paper, the concept of uncertain α-minimum spanning tree is initiated for minimum spanning tree problem with uncertain edge weights. Using different decision criteria, two uncertain programming m...