Integrated Redundancy and Storage Design Optimization for Reliable Air Separation Units Based on Markov Chain—A Game Theoretic Solution
Integrated Redundancy and Storage Design Optimization for Reliable Air Separation Units Based on Markov Chain—A Game Theoretic Solution
复制标题
基于马尔可夫链的可靠空分装置集成冗余和存储设计优化——博弈论解
DOI：
10.1021/acs.iecr.9b04609
复制
发表时间：
2020
影响因子：
4.2
通讯作者：
Ramaswamy, Sivaraman
中科院分区：
文献类型：
--
作者：
Ye, Yixin;Grossmann, Ignacio E.;Pinto, Jose M.;Ramaswamy, Sivaraman
化工厂的盈利能力与其可靠性直接相关，这一直是化工行业的主要关注点。在本文中，我们解决的问题，在概念设计阶段的空气分离厂，以尽量减少负收益，其中包括罚款所产生的管道供应中断和成本，提高可靠性，包括冗余的单位和存储罐。提出了一种基于马尔可夫链假设的混合整数线性规划（MILP）模型，并将其应用于空分设备的激励实例。此外，为了解决更大的上层建筑，我们提出了一个博弈论算法，分解和重组的问题，作为一个团队游戏的个人处理阶段，并在他们之间达成纳什均衡。它还表明，一个很好的初始点接近全局最优值，可以很容易地获得，这保证了纳什均衡解的质量。一些例子表明，该算法的能力，以解决在更短的时间内比原来的MILP模型（MILP）的直接解决方案的全局最优性。
The profitability of a chemical plant is directly related to its reliability, which has always been a major concern in the chemical industry. In this paper, we address the problem at the conceptual design phase of an air separation plant to minimize the negative income, which consists of the penalty incurred from pipeline supply interruption and the cost of increasing reliability, including having redundant units and storage tanks. A mixed integer linear programming (MILP) model (denoted as RST) based on the Markov Chain assumption is proposed and applied to the motivating example of an air separation plant. Furthermore, to tackle larger superstructures, we propose a game theoretic algorithm that decomposes and restructures the problem as a team game of the individual processing stages and arrives at a Nash Equilibrium among them. It is also shown that a good initialization point close to the global optimum can be easily obtained, which guarantees the quality of the Nash Equilibrium solution. A number of examples are shown to illustrate the proposed algorithm’s ability to solve to global optimality in much shorter time than the direct solution of the original MILP model (RST).
登录
查看更多内容
影响因子：
4.3
作者：
Ye, Yixin;Grossmann, Ignacio E.;Ramaswamy, Sivaraman
通讯作者：
Ramaswamy, Sivaraman
影响因子：
4.3
作者：
Amaran, Satyajith;Zhang, Tong;Bury, Scott J.
通讯作者：
Bury, Scott J.
用于可靠化工厂优化设计的混合整数非线性规划模型
影响因子：
4.3
作者：
Ye, Yixin;Grossmann, Ignacio E.;Pinto, Jose M.
通讯作者：
Pinto, Jose M.
灵活可靠的工艺系统的优化设计
DOI：
--
发表时间：
1995
期刊：
影响因子：
--
作者：
T. V. Thomaidis;E. Pistikopoulos
通讯作者：
E. Pistikopoulos
DOI：
10.1146/annurev-control-060117-105102
发表时间：
2018-01-01
期刊：
ANNUAL REVIEW OF CONTROL, ROBOTICS, AND AUTONOMOUS SYSTEMS, VOL 1
影响因子：
--
作者：
Marden, Jason R.;Shamma, Jeff S.
通讯作者：
Shamma, Jeff S.