Optimization of large‐scale water transfer networks: Conic integer programming model and distributed parallel algorithms

The optimization of a multi‐echelon water transfer network (WTN) and the associate transportation and inventory systems with demand uncertainty is addressed in article. Optimal network structure, facility locations, operation capacities, as well as the inventory and transportation decisions can be s...

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Vydáno v:	AIChE journal Ročník 63; číslo 5; s. 1566 - 1581
Hlavní autoři:	Li, Li‐Juan, Zhou, Rui‐Jie
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York American Institute of Chemical Engineers 01.05.2017
Témata:	Algorithms Chemical engineering Conics distributed parallel optimization Integer programming Lagrangean relaxation message passing interface mixed integer conic quadratic programming Nonlinear programming Optimization Searching Transportation Transportation networks Water distribution Water transfer water transfer networks China, People's Rep
ISSN:	0001-1541, 1547-5905
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Abstract	The optimization of a multi‐echelon water transfer network (WTN) and the associate transportation and inventory systems with demand uncertainty is addressed in article. Optimal network structure, facility locations, operation capacities, as well as the inventory and transportation decisions can be simultaneously determined by the mixed integer nonlinear programming (MINLP) model which includes bilinear, square root and nonlinear fractional terms. By exploiting the properties of this model, we reformulate the MINLP problem as a conic integer optimization model. To overcome the memory and computing bandwidth limitations caused by the huge number of active nodes in the branch‐and‐bound search tree, novel distributed parallel optimization algorithms based on Lagrangean relaxation and message passing interface as well as their serial versions are proposed to solve the resulting conic integer programming model. A regional WTN in China is studied to demonstrate the applicability of the proposed model and the performance of the algorithms. © 2016 American Institute of Chemical Engineers AIChE J, 63: 1566–1581, 2017
AbstractList	The optimization of a multi-echelon water transfer network (WTN) and the associate transportation and inventory systems with demand uncertainty is addressed in article. Optimal network structure, facility locations, operation capacities, as well as the inventory and transportation decisions can be simultaneously determined by the mixed integer nonlinear programming (MINLP) model which includes bilinear, square root and nonlinear fractional terms. By exploiting the properties of this model, we reformulate the MINLP problem as a conic integer optimization model. To overcome the memory and computing bandwidth limitations caused by the huge number of active nodes in the branch-and-bound search tree, novel distributed parallel optimization algorithms based on Lagrangean relaxation and message passing interface as well as their serial versions are proposed to solve the resulting conic integer programming model. A regional WTN in China is studied to demonstrate the applicability of the proposed model and the performance of the algorithms. copyright 2016 American Institute of Chemical Engineers AIChE J, 63: 1566-1581, 2017 The optimization of a multi-echelon water transfer network (WTN) and the associate transportation and inventory systems with demand uncertainty is addressed in article. Optimal network structure, facility locations, operation capacities, as well as the inventory and transportation decisions can be simultaneously determined by the mixed integer nonlinear programming (MINLP) model which includes bilinear, square root and nonlinear fractional terms. By exploiting the properties of this model, we reformulate the MINLP problem as a conic integer optimization model. To overcome the memory and computing bandwidth limitations caused by the huge number of active nodes in the branch-and-bound search tree, novel distributed parallel optimization algorithms based on Lagrangean relaxation and message passing interface as well as their serial versions are proposed to solve the resulting conic integer programming model. A regional WTN in China is studied to demonstrate the applicability of the proposed model and the performance of the algorithms. © 2016 American Institute of Chemical Engineers AIChE J, 63: 1566-1581, 2017
Author	Zhou, Rui‐Jie Li, Li‐Juan
Author_xml	– sequence: 1 givenname: Li‐Juan surname: Li fullname: Li, Li‐Juan email: lilijuan09@gmail.com organization: Rensselaer Polytechnic Institute – sequence: 2 givenname: Rui‐Jie orcidid: 0000-0002-0070-4871 surname: Zhou fullname: Zhou, Rui‐Jie email: ruijie@alumni.stanford.edu organization: Stanford University
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SubjectTerms	Algorithms Chemical engineering Conics distributed parallel optimization Integer programming Lagrangean relaxation message passing interface mixed integer conic quadratic programming Nonlinear programming Optimization Searching Transportation Transportation networks Water distribution Water transfer water transfer networks
Title	Optimization of large‐scale water transfer networks: Conic integer programming model and distributed parallel algorithms
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