-

 

 

 




Optimization Online





 

Solving Heated Oil Pipeline Problems Via Mixed Integer Nonlinear Programming Approach

Muming Yang(ymm***at***lsec.cc.ac.cn)
Yakui Huang(huangyakui2006***at***gmail.com)
Yu-Hong Dai(dyh***at***lsec.cc.ac.cn)
Bo Li(libocolby***at***yeah.net)

Abstract: It is a crucial problem how to heat oil and save running cost for crude oil transport. This paper strictly formulates such a heated oil pipeline problem as a mixed integer nonlinear programming model. Nonconvex and convex continuous relaxations of the model are proposed, which are proved to be equivalent under some suitable conditions. Meanwhile, we provide a preprocessing procedure to guarantee these conditions. Therefore we are able to design a branch-and-bound algorithm for solving the mixed integer nonlinear programming model to global optimality. To make the branch-and-bound algorithm more efficient, an outer approximation method is proposed as well as the technique of warm start is used. The numerical experiments with a real heated oil pipeline problem show that our algorithm achieves a better scheme and can save 6.83% running cost compared with the practical scheme.

Keywords: Heated oil pipeline problem, MINLP, Nonconvex relaxation, Convex relaxation, Branch-and-bound, Outer approximation, Warm start.

Category 1: Applications -- OR and Management Sciences

Category 2: Integer Programming ((Mixed) Integer Nonlinear Programming )

Citation: arXiv:1907.10812 [math.OC] 25 Jul 2019, https://arxiv.org/abs/1907.10812

Download: [PDF]

Entry Submitted: 07/26/2019
Entry Accepted: 07/26/2019
Entry Last Modified: 07/26/2019

Modify/Update this entry


  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository

 

Submit
Update
Policies
Coordinator's Board
Classification Scheme
Credits
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society