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dynamic programming 2

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A new approach for scheduling of multipurpose batch processes with unlimited intermediate storage policy

Nikolaos Rakovitis, Nan Zhang, Jie Li, Liping Zhang

Frontiers of Chemical Science and Engineering 2019, Volume 13, Issue 4,   Pages 784-802 doi: 10.1007/s11705-019-1858-4

Abstract: The increasing demand of goods, the high competitiveness in the global marketplace as well as the need to minimize the ecological footprint lead multipurpose batch process industries to seek ways to maximize their productivity with a simultaneous reduction of raw materials and utility consumption and efficient use of processing units. Optimal scheduling of their processes can lead facilities towards this direction. Although a great number of mathematical models have been developed for such scheduling, they may still lead to large model sizes and computational time. In this work, we develop two novel mathematical models using the unit-specific event-based modelling approach in which consumption and production tasks related to the same states are allowed to take place at the same event points. The computational results demonstrate that both proposed mathematical models reduce the number of event points required. The proposed unit-specific event-based model is the most efficient since it both requires a smaller number of event points and significantly less computational time in most cases especially for those examples which are computationally expensive from existing models.

Keywords: scheduling     multipurpose batch processes     simultaneous transfer     mixed-integer linear programming    

Multi-objective optimization for the multi-mode finance-based project scheduling problem

Sameh Al-SHIHABI, Mohammad AlDURGAM

Frontiers of Engineering Management 2020, Volume 7, Issue 2,   Pages 223-237 doi: 10.1007/s42524-020-0097-1

Abstract: This study presents a mixed-integer linear programming model for the multi-objective MMFBSP.Moreover, the linear programming-relaxation of the model, which takes seconds, can provide an excellent

Keywords: multi-objective optimization     finance-based scheduling     multi-mode project scheduling     mixed-integer linearprogramming     CPLEX    

Benefit-based cost allocation for residentially distributed photovoltaic systems in China: A cooperative game theory approach

Xi LUO, Xiaojun LIU, Yanfeng LIU, Jiaping LIU, Yaxing WANG

Frontiers of Engineering Management 2021, Volume 8, Issue 2,   Pages 271-283 doi: 10.1007/s42524-019-0083-7

Abstract: A mixed-integer linear programming model is built to determine the optimal system operation strategy

Keywords: solar photovoltaic     cost allocation     cooperative game theory     Shapley value     mixed-integer linear programming    

A Novel MILP Model Based on the Topology of a Network Graph for Process Planning in an Intelligent Manufacturing System Article

Qihao Liu, Xinyu Li, Liang Gao

Engineering 2021, Volume 7, Issue 6,   Pages 807-817 doi: 10.1016/j.eng.2021.04.011

Abstract: nondeterministic polynomial-time (NP)-hard problem and, as existing mathematical models are not formulated in linearThis paper proposes a novel mixed-integer linear programming (MILP) mathematical model by consideringFurthermore, the proposed model can be programmed in commonly-used mathematical programming solvers,

Keywords: Process planning     Network     Mixed-integer linear programming     CPLEX    

Energy systems engineering: methodologies and applications

Pei LIU, Efstratios N. PISTIKOPOULOS, Zheng LI

Frontiers in Energy 2010, Volume 4, Issue 2,   Pages 131-142 doi: 10.1007/s11708-010-0035-8

Abstract: overview of key methodologies of energy systems engineering, covering superstructure based modelling, mixed-integerprogramming, multi-objective optimization, optimization under uncertainty, and life-cycle assessment

Keywords: energy systems engineering     superstructure     mixed-integer programming     multi-objective optimization     optimization    

Product decomposition strategy for optimization of supply chain planning

Braulio BRUNAUD, Maria Paz OCHOA, Ignacio E. GROSSMANN

Frontiers of Engineering Management 2018, Volume 5, Issue 4,   Pages 466-478 doi: 10.15302/J-FEM-2018059

Abstract:

Optimization of large-scale supply chain planning models requires the application of decomposition strategies to reduce the computational expense. Two major options are to use either spatial or temporal Lagrangean decomposition. In this paper, to further reduce the computational expense a novel decomposition scheme by products is presented. The decomposition is based on a reformulation of knapsack constraints in the problem. The new approach allows for simultaneous decomposition by products and by time periods, enabling the generation of a large number of subproblems, that can be solved by using parallel computing. The case study shows that the proposed product decomposition exhibits similar performance as the temporal decomposition, and that selecting different orders of products and aggregating the linking constraints can improve the efficiency of the algorithm.

Keywords: supply chain planning     Lagrangean decomposition     mixed-integer programming    

Optimal Antibody Purification Strategies Using Data-Driven Models Article

Songsong Liu, Lazaros G. Papageorgiou

Engineering 2019, Volume 5, Issue 6,   Pages 1077-1092 doi: 10.1016/j.eng.2019.10.011

Abstract: The piecewise linear regression modeling method is adapted due to its simplicity and better predictionTwo alternative mixed-integer nonlinear programming (MINLP) models are proposed to minimize the totalThese MINLP models are then reformulated as mixed-integer linear programming (MILP) models using linearization

Keywords: Antibody purification     Multiscale optimization     Antigen-binding fragment     Mixed-integer programming     Data-driven model     Piecewise linear regression    

Robust energy-efficient train speed profile optimization in a scenario-based position–time–speed network

Frontiers of Engineering Management 2021, Volume 8, Issue 4,   Pages 595-614 doi: 10.1007/s42524-021-0173-1

Abstract: network and propose a model reformulation strategy to transform the original model into an equivalent linearprogramming model.

Keywords: robust train speed profile     percentile reliability model     scenario-based position–time–speed network     mixed-integerprogramming    

Connected Vehicle Based Traffic Signal Coordination Article

Wan Li, Xuegang Ban

Engineering 2020, Volume 6, Issue 12,   Pages 1463-1472 doi: 10.1016/j.eng.2020.10.009

Abstract: The signal optimization and coordination problem are first formulated in a centralized scheme as a mixed-integerdecompose the problem into two levels: an intersection level to optimize phase durations using dynamic programming

Keywords: Connected vehicles     Traffic signal coordination     Dynamic programming     Two-level optimization     Mixed-integer    

Nonlinear Model-Based Process Operation under Uncertainty Using Exact Parametric Programming

Vassilis M. Charitopoulos,Lazaros G. Papageorgiou,Vivek Dua

Engineering 2017, Volume 3, Issue 2,   Pages 202-213 doi: 10.1016/J.ENG.2017.02.008

Abstract:

In the present work, two new, (multi-)parametric programming (mp-P)-inspired algorithms for the solutionof mixed-integer nonlinear programming (MINLP) problems are developed, with their main focus being on

Keywords: Parametric programming     Uncertainty     Process synthesis     Mixed-integer nonlinear programming     Symbolic manipulation    

An interval joint-probabilistic programming method for solid waste management: a case study for the city

Yi XU, Shunze WU, Hongkuan ZANG, Guiguang HOU

Frontiers of Environmental Science & Engineering 2014, Volume 8, Issue 2,   Pages 239-255 doi: 10.1007/s11783-013-0536-x

Abstract: In response to these challenges, an interval joint-probabilistic mixed-integer programming (IJMP) methodIn the IJMP, joint probabilistic constraints are introduced into an interval-parameter mixed-integerprogramming framework, such that uncertainties presented in terms of interval values and random variables

Keywords: interval analysis     mixed integer     joint probabilistic constraint     planning     uncertainty     waste management    

Cutting CO emissions through demand side regulation: Implications from multi-regional input–output linearprogramming model

Frontiers of Engineering Management   Pages 452-461 doi: 10.1007/s42524-022-0209-1

Abstract: This study combines multi-regional input–output (MRIO) model with linear programming (LP) model to explore

Keywords: CO2 emissions     demand side regulation     multi-regional input–output model     linear programming    

Optimal placement of PMUs for the smart grid implementation in Indian power grid—A case study

Pathirikkat GOPAKUMAR, G. Surya CHANDRA, M. Jaya Bharata REDDY, Dusmata Kumar MOHANTA

Frontiers in Energy 2013, Volume 7, Issue 3,   Pages 358-372 doi: 10.1007/s11708-013-0257-7

Abstract: geographical locations for the PMUs in southern region Indian power grid for the implementation of SG, using IntegerLinear Programming.

Keywords: phasor measurement units (PMUs)     smart grid (SG)     southern region Indian power grid (SRIPG)     integer linearprogramming (ILP)    

Linear programming method with LR type fuzzy numbersfor network scheduling

Gao Peng,Feng Junwen

Strategic Study of CAE 2009, Volume 11, Issue 2,   Pages 70-74

Abstract: This paper develops a linear programming method with LR type fuzzy numbers, which aims to estimate activity

Keywords: network scheduling     fuzzy linear programming     activity    

A refined risk explicit interval linear programming approach for optimal watershed load reduction with

Pingjian YANG,Feifei DONG,Yong LIU,Rui ZOU,Xing CHEN,Huaicheng GUO

Frontiers of Environmental Science & Engineering 2016, Volume 10, Issue 1,   Pages 129-140 doi: 10.1007/s11783-014-0683-8

Abstract: To enhance the effectiveness of watershed load reduction decision making, the Risk Explicit Interval LinearProgramming (REILP) approach was developed in previous studies to address decision risks and system

Keywords: refined risk explicit interval linear programming     decision making     objective-constraint uncertainty tradeoff    

Title Author Date Type Operation

A new approach for scheduling of multipurpose batch processes with unlimited intermediate storage policy

Nikolaos Rakovitis, Nan Zhang, Jie Li, Liping Zhang

Journal Article

Multi-objective optimization for the multi-mode finance-based project scheduling problem

Sameh Al-SHIHABI, Mohammad AlDURGAM

Journal Article

Benefit-based cost allocation for residentially distributed photovoltaic systems in China: A cooperative game theory approach

Xi LUO, Xiaojun LIU, Yanfeng LIU, Jiaping LIU, Yaxing WANG

Journal Article

A Novel MILP Model Based on the Topology of a Network Graph for Process Planning in an Intelligent Manufacturing System

Qihao Liu, Xinyu Li, Liang Gao

Journal Article

Energy systems engineering: methodologies and applications

Pei LIU, Efstratios N. PISTIKOPOULOS, Zheng LI

Journal Article

Product decomposition strategy for optimization of supply chain planning

Braulio BRUNAUD, Maria Paz OCHOA, Ignacio E. GROSSMANN

Journal Article

Optimal Antibody Purification Strategies Using Data-Driven Models

Songsong Liu, Lazaros G. Papageorgiou

Journal Article

Robust energy-efficient train speed profile optimization in a scenario-based position–time–speed network

Journal Article

Connected Vehicle Based Traffic Signal Coordination

Wan Li, Xuegang Ban

Journal Article

Nonlinear Model-Based Process Operation under Uncertainty Using Exact Parametric Programming

Vassilis M. Charitopoulos,Lazaros G. Papageorgiou,Vivek Dua

Journal Article

An interval joint-probabilistic programming method for solid waste management: a case study for the city

Yi XU, Shunze WU, Hongkuan ZANG, Guiguang HOU

Journal Article

Cutting CO emissions through demand side regulation: Implications from multi-regional input–output linearprogramming model

Journal Article

Optimal placement of PMUs for the smart grid implementation in Indian power grid—A case study

Pathirikkat GOPAKUMAR, G. Surya CHANDRA, M. Jaya Bharata REDDY, Dusmata Kumar MOHANTA

Journal Article

Linear programming method with LR type fuzzy numbersfor network scheduling

Gao Peng,Feng Junwen

Journal Article

A refined risk explicit interval linear programming approach for optimal watershed load reduction with

Pingjian YANG,Feifei DONG,Yong LIU,Rui ZOU,Xing CHEN,Huaicheng GUO

Journal Article