English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

It is a crucial problem how to heat oil and save running cost for crude oiltransport. This paper strictly formulates such a heated oil pipeline problem asa mixed integer nonlinear programming model. Nonconvex and convex continuousrelaxations of the model are proposed, which are proved to be equivalent undersome suitable conditions. Meanwhile, we provide a preprocessing procedure toguarantee these conditions. Therefore we are able to design a branch-and-boundalgorithm for solving the mixed integer nonlinear programming model to globaloptimality. To make the branch-and-bound algorithm more efficient, an outerapproximation method is proposed as well as the technique of warm start isused. The numerical experiments with a real heated oil pipeline problem showthat our algorithm achieves a better scheme and can save 6.83% running costcompared with the practical scheme.

Solving Heated Oil Pipeline Problems Via Mixed Integer Nonlinear Programming Approach