Flying Elephants (FE) is a generalization and a new interpretation of the Hyperbolic Smoothing approach. The article introduces the fundamental smoothing procedures. It presents a general overview of successful applications of the approach for solving a select set of five important problems, namely: distance geometry, covering, clustering, Fermat-Weber and hub location. For each problem it is p...

This paper addresses the classical single and multiple allocation hub location problems with fully interconnected hubs, in which balanced round-trip flows on links are considered strategic decision making process. The use of is motivated by need to decrease empty-trip rate vehicles increase full-load vehicles. Mixed-integer programming models presented for versions problems. Numerical experimen...

Third party service providers are locating logistic hub for operating their tasks. Finding a proper location helps them to have better performance in competitive environment. Multiple characteristics of proper location selection faces the decision maker to have a multi criteria decision making problem. Since the location decision is a long term planning, the robustness of the decision is gettin...

in this paper, we present the stochastic version of maximal covering location problem which optimizes both location and allocation decisions, concurrently. it’s assumed that traveling time between customers and distribution centers (dcs) is uncertain and described by normal distribution function and if this time is less than coverage time, the customer can be allocated to dc. in classical model...

The design of hub-and-spoke transport networks is a strategic planning problem, as the choice of hub locations has to remain unchanged for long time periods. However, strikes, disasters or traffic breakdown can lead to the unavailability of a hub for a short period of time. Therefore it is important to consider such events already in the planning phase, so that a proper reaction is possible; on...

centralizing and using proper transportation facilities cut down costs and traffic. hub facilities concentrate on flows to cause economic advantage of scale and multimodal transportation helps use the advantage of another transporter. a distinctive feature of this paper is proposing a new mathematical formulation for a three-stage p-hub location routing problem with simultaneous pick-ups and de...

Hub location problem (HLP) is one of the most important problems in the areas of logistics and telecommunication network design. In this paper we address the bi-objective non-strict single allocation hub location problem (BONSSAHLP). The non-strict property of this problem which allows establishment of direct links between pairs of non-hub nodes makes it somehow different from the conventional ...

In this paper the capacitated hub location problem is formulated by a minimax regret model, which takes into account uncertain setup cost and demand. We focus on hub location with multiple allocations as a strategic problem requiring one definite solution. Investigating how deterministic models may lead to sub-optimal solutions, we provide an efficient formulation method for the problem. A comp...

In this paper, we present a novel multi-objective mathematical model for capacitated single allocation hub location problem. There are the vehicle capacity constraint and capacity restrictions amount of the incoming flow to the hub while the balancing requirements of incoming quantities of flow to the each hub is considered. Moreover, there is a set of available capacities for each potential hu...