A Continuous Model of Transportation

Beckmann, Martin J.

doi:10.2307/1907646

Cited by 264 publications

(154 citation statements)

References 4 publications

Supporting

Mentioning

153

Contrasting

Order By: Relevance

“…Obviously, this task is connected with the transport task [3][4][5][6][7][8], where one point of production is a ship with a cargo, and n of consumption, points are geographically fixed places. In this problem, the following data are needed: a -the volume of production (one point of production is a ship with cargo), , and it is necessary to choose such geographical location of the vessel so that the z function is minimal.…”

Section: Mathematical Modelmentioning

confidence: 99%

in Russian economy in conditions of limited resources

Есеев¹,

Makarov²,

Korobov³

et al. 2017

Proceedings of the International Conference on Trends of Technologies and Innovations in Economic and Social Studies 2017

View full text Add to dashboard Cite

-The poor development of transport infrastructure in the Arctic is the cause of significant time losses and increased costs when delivering goods to points located on the coast and islands of the Arctic Ocean and its seas. Often, a helicopter is a way of unloading a ship, which is the only way to deliver cargo to the necessary places. The search for the optimal geographical location for unloading a vessel using a helicopter is an urgent task, since such way of unloading a vessel is very expensive. The mathematical model of finding a geographical location for maximally profitable transportation of cargo from a cargo vessel using a helicopter to the necessary points of unloading is developed in the work. Using the example of a developed model, it has been shown that it is possible to obtain economic benefits when transporting goods in the Ob Bay.

show abstract

Section: Mathematical Modelmentioning

confidence: 99%

in Russian economy in conditions of limited resources

Есеев¹,

Makarov²,

Korobov³

et al. 2017

Proceedings of the International Conference on Trends of Technologies and Innovations in Economic and Social Studies 2017

View full text Add to dashboard Cite

show abstract

“…This was the same year as the translation of Christaller's book, which had appeared in its original German version more than 100 years after von Thünen's book! Spatial pricing models as introduced, for example, by Beckmann (1952 can be said to have their origin in von Thünen's work, as they explicitly take into account the impact of transportation cost on the price structure, an idea which was first developed by von Thünen.…”

Section: The Impact Of Von Thünen's Workmentioning

confidence: 99%

Hub Location Problems: The Location of Interacting Facilities

Kara

Taner

2011

International Series in Operations Research &Amp; Management Science

View full text Add to dashboard Cite

), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. PrefaceThis book is the final result of a number of incidents that occurred to us while discussing location issues with colleagues at conferences. Frequently we attended presentations, in which the authors quoted the well-known references that helped to make the discipline what it is today. Upon further inquiry, though, it turned out that some of these colleagues had never actually read the original papers. We then discussed among ourselves which contributions could be credited with shaping the field. And, lo and behold, we found that we, too, had neglected to read some of the papers that form the foundation of our science. Whether it was laziness or other things that got in the way, it had become clear that something had to be done. Our first thought was to collect the original contributions (once we could agree on what they were) and reprint them. When discussing this possibility with a publisher, we immediately ran into a roadblock in the form of copyright. While this appeared to have stopped our enthusiastic effort dead in its tracks, we kept on collecting and reading what we considered original contributions.This went on until we met Camille Price, who suggested that, rather than reprinting the original contributions, we should invite some of the leaders in our field and ask them to describe the original contribution, explain and interpret it, and comment on the impact that it had to the field. This was, of course, an excellent idea, and the response by our colleagues to our pertinent requests was equally enthusiastic. What you hold in your hands is the result of this effort.In other words, the purpose of this book is to provide easy access to the main contributions to location theory. The book is organized as follows. The introductory chapter provides an overview of some of the many facets of location analysis. This is followed by contributions in the main three fields of inquiry: minisum, minimax, and covering problems. The next chapters are part of an ever-growing list of nonstandard location models: models including competitive components, those that locate undesirable facilities, those with probabilistic features, and those that allow interactions between facilities. The following chapters discuss solution techniques: after a discussion of exact and heuristic techniques, we devote an entire chapter to Weiszfeld's method, and another to Lagrangean techniques. The last chapters of this book deal with the spheres of influence that the facilities generate and that attract viii customers to them, an...

show abstract

“…Starting from the work by P. Jacquet [26] in that area, a number of research groups have worked on massively dense ad-hoc networks using tools from geometrical optics [26], percolation theory [27], continuum models [28], [29] as well as electrostatics [30]- [31].The challenges ahead should be to pursue this analogy with more sophisticated models related to physics [32].…”

Section: Iv-b the Large Dimension Foundationsmentioning

confidence: 99%

Theoretical Foundations of Mobile Flexible Networks

Debbah

2011

REV-JEC

View full text Add to dashboard Cite

The general framework of Mobile Flexible Networks (MFN) is to design dense self-organizing, self-healing and self-energy harvesting secure networks where terminals and base stations interact and self-adapt in an intelligent manner without the need of a central controller or with the right amount of regulation to let the agents in the network exploit fully the degrees of freedom. The design depends mainly on the mobility pattern as in highly mobile environments, intelligence at the terminal reduces the cost of signalling whereas for fixed (non-mobile) networks, all the intelligence can be put on the network side. One of the big challenges is to find how to optimally split the intelligence between cognitive terminals and cognitive networks. In this paper, we discuss the challenges ahead and provide some research directions to develop the theoretical foundations of these networks 1 .

show abstract

A Continuous Model of Transportation

Cited by 264 publications

References 4 publications

in Russian economy in conditions of limited resources

in Russian economy in conditions of limited resources

Hub Location Problems: The Location of Interacting Facilities

Theoretical Foundations of Mobile Flexible Networks

Contact Info

Product

Resources

About