In this paper, we deal with fuzzy random variables for inputs andoutputs in Data Envelopment Analysis (DEA). These variables are considered as fuzzyrandom flat LR numbers with known distribution. The problem is to find a method forconverting the imprecise chance-constrained DEA model into a crisp one. This can bedone by first, defuzzification of imprecise probability by constructing a suitablem...

When designing or upgrading a communication network, operators are faced with a major issue, as uncertainty on communication demands makes it difficult to correctly provision the network capacity. When a probability on traffic matrices is given, finding the cheapest capacity allocation that guarantees, within a prescribed level of confidence, that each arc can support the traffic demands peaks ...

Consideration of quality implicitly introduces the need to adjust inputs in order to obtain desired output. Output evaluation must consider quality as well as cost. Real decisions may involve other objectives as well. Production problems often involve a dynamic situation where the relationship between cost and quality must be experimentally developed. The proposed method is to use regression as...

In this paper, we study the linear fractional transportation problem with uncertain arameters. After recalling some definitions, concepts and theorems in uncertainty theory we present three approaches for solving this problem. First we consider the expected value of the objective function together with the expectation of satisfying constraints. Optimizing the expected value of the objective fun...

In this paper, we consider an n-player non-cooperative game where the random payoff function of each player is defined by its expected value and her strategy set a joint chance constraint. The constraint vectors are independent. We case when probability distribution vector belongs to subset elliptical distributions as well it finite mixture from subset. propose convex reformulation derive bound...

in this paper, we deal with fuzzy random variables for inputs andoutputs in data envelopment analysis (dea). these variables are considered as fuzzyrandom flat lr numbers with known distribution. the problem is to find a method forconverting the imprecise chance-constrained dea model into a crisp one. this can bedone by first, defuzzification of imprecise probability by constructing a suitablem...

in this paper, the capacitated location-routing problem with fuzzy demands (clrp-fd) is considered. the clrp-fd is composed of two well-known problems: facility location problem and vehicle routing problem. the problem has many real-life applications of which some have been addressed in the literature such as management of hazardous wastes and food and drink distribution. in clrp-fd, a set of c...

Stochastic Approach to Vehicle Routing Problem: Development and Theories Abstract In this article, a chance constrained (CCP) formulation of the Vehicle Routing Problem (VRP) is proposed. The reality is that once we convert some special form of probabilistic constraint into their equivalent deterministic form then a nonlinear constraint generates. Knowing that reliable computer software...