Abstract
AbstractIn discussing the most efficient manner of distributing a product from several sources to numerous locations, Hitchcock [1] assumed that the specific transportation cost for a given shipping route was independent of the amount shipped over this route. In the present paper the problem is discussed under the assumption that the specific shipping cost for a route increases linearly with the amount shipped over this route. It is shown that the optimal shipping program then is unique and that it can be discussed either in terms of flows along the routes or in terms of accounting princes at the centers of production and consumption. A maximum principle is established for the accounting prices, which leads to a maximum characterization of the cost of the optimal program.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
