MPEC strategies for cost optimization of pipeline operations

Baumrucker, B. T.; Biegler, Lorenz T.

doi:10.1016/j.compchemeng.2009.07.012

Cited by 67 publications

(41 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The application of complementary formulations in chemical engineering was first introduced by Baumrucker et al 46 Later, it was introduced to the pipeline operation optimization problems 47,48 to model the piecewise functions.…”

Section: Novel Formulations For the Heat Exchangermentioning

confidence: 99%

Simultaneous Optimization of Heat-Integrated Water Allocation Networks Using the Mathematical Model with Equilibrium Constraints Strategy

Zhou

Liao

Wang

et al. 2015

Ind. Eng. Chem. Res.

View full text Add to dashboard Cite

A general optimization model is proposed for the simultaneous optimization of integrated water allocation and heat exchanger networks (WAHEN). An improved superstructure and mathematical model for the WAHEN problem is presented. Complementary formulations are applied to model the discrete decisions, and a mathematical model with equilibrium constraints (MPEC) is formulated. Both the MINLP model and the MPEC model are developed and solved for the problem. The effectiveness of the proposed model is illustrated with two case studies. A comparison between the results obtained by the proposed model and those obtained from the model in the literature is carried out. Case studies show that the proposed simultaneous methodology performs well and is efficient.

show abstract

Section: Novel Formulations For the Heat Exchangermentioning

confidence: 99%

Simultaneous Optimization of Heat-Integrated Water Allocation Networks Using the Mathematical Model with Equilibrium Constraints Strategy

Zhou

Liao

Wang

et al. 2015

Ind. Eng. Chem. Res.

View full text Add to dashboard Cite

show abstract

“…This model handles time dependent operations aiming at determining minimum energy consumption and operating cost at a given time period. The application to a oxygen pipeline network show that, by using the pipeline inventory and time of pricing, the energy costs have been reduced despite of the increase of the overall use of energy [21]. In another recent study a Nonlinear Model Predictive Control (NMPC) formulation has been applied in order to optimize the operational costs of gas pipeline networks [22], while in another one, the formulation and large scale solution of bi-level optimization problems, through Mathematical Programs with Complementarity Constraints MPCCs have been carried out [23].…”

Section: Introduction and Literature Reviewmentioning

confidence: 98%

Comparison of multi-objective optimization techniques applied to off-gas management within an integrated steelwork

et al. 2014

View full text Add to dashboard Cite

“…However, with the ability to enforce algebraic constraints within a differential model, MPCCs, which are formulated as sets of algebraic equations, can be embedded into the model to represent disjunctions. These MPCCs take advantage of a complementarity condition that both constraints are active, one as an equality and the other as an inequality, as shown in Equation (8), where ⊥ is the complementarity operator [6,16]:…”

Section: Embedding Mpecs With Complementarity Into Simultaneous Equatmentioning

confidence: 99%

“…Complementarity, the requirement that at least one of a pair of variables be at some limit, provides a framework for representing disjunctive behavior using a set of continuous equations. MPECs using complementarity constraints have found use in optimization problems in the fields of structural mechanics [4,5], chemical and process engineering [6][7][8][9], electric power generation [10], climate change [11], traffic networks [12], operations research [13], economics [14], and other fields [15,16].…”

Section: Introductionmentioning

confidence: 99%

A Continuous Formulation for Logical Decisions in Differential Algebraic Systems using Mathematical Programs with Complementarity Constraints

et al. 2016

View full text Add to dashboard Cite

This work presents a methodology to represent logical decisions in differential algebraic equation simulation and constrained optimization problems using a set of continuous algebraic equations. The formulations may be used when state variables trigger a change in process dynamics, and introduces a pseudo-binary decision variable, which is continuous, but should only have valid solutions at values of either zero or one within a finite time horizon. This formulation enables dynamic optimization problems with logical disjunctions to be solved by simultaneous solution methods without using methods such as mixed integer programming. Several case studies are given to illustrate the value of this methodology including nonlinear model predictive control of a chemical reactor using a surge tank with overflow to buffer disturbances in feed flow rate. Although this work contains novel methodologies for solving dynamic algebraic equation (DAE) constrained problems where the system may experience an abrupt change in dynamics that may otherwise require a conditional statement, there remain substantial limitations to this methodology, including a limited domain where problems may converge and the possibility for ill-conditioning. Although the problems presented use only continuous algebraic equations, the formulation has inherent non-smoothness. Hence, these problems must be solved with care and only in select circumstances, such as in simulation or situations when the solution is expected to be near the solver's initial point.

show abstract

MPEC strategies for cost optimization of pipeline operations

Cited by 67 publications

References 15 publications

Simultaneous Optimization of Heat-Integrated Water Allocation Networks Using the Mathematical Model with Equilibrium Constraints Strategy

Simultaneous Optimization of Heat-Integrated Water Allocation Networks Using the Mathematical Model with Equilibrium Constraints Strategy

Comparison of multi-objective optimization techniques applied to off-gas management within an integrated steelwork

A Continuous Formulation for Logical Decisions in Differential Algebraic Systems using Mathematical Programs with Complementarity Constraints

Contact Info

Product

Resources

About