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...

In the Metric Capacitated Covering (MCC) problem, given a set of balls \({\mathcal {B}}\) in metric space P with d and capacity parameter U, goal is to find minimum sized subset \({{\mathcal {B}}}'\subseteq {\mathcal an assignment points {B}}'\) such that each point assigned ball contains it at most U points. MCC achieves \(O(\log |P|)\)-approximation using greedy algorithm. On other hand, hard...

in this study, we discuss the capacitated facility location-allocation problem with uncertain parameters in which the uncertainty is characterized by given finite numbers of scenarios. in this model, the objective function minimizes the total expected costs of transportation and opening facilities subject to the robustness constraint. to tackle the problem efficiently and effectively, an effici...

this paper addresses a reliable facility location problem with considering facility capacity constraints. in reliable facility location problem some facilities may become unavailable from time to time. if a facility fails, its clients should refer to other facilities by paying the cost of retransfer to these facilities. hence, the fail of facilities leads to disruptions in facility location dec...

We consider the capacitated vehicle routing problem (VRP): a fixed fleet of delivery vehicles of uniform capacity must service at minimal transit cost from a common depot known customer demand for a single commodity. This problem is modeled as a side-constrained traveling salesman problem (TSP). Among the additional constraints are the vehicle capacity restrictions, analogous to TSP subtour eli...