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Mixed Integer linear Programming Model for Vehicle Routing Problem for Hazardous Materials Transportation

IFAC-PapersOnLine 2016年第12期49卷 538-543页

作者： Bula, Gustavo Alfredo Gonzalez, Fabio Augusto Prodhon, Caroline Afsar, H. Murat Velasco, Nubia Milena System and Industrial Engineering Deparment Universidad Nacional de Colombia Bogotá Colombia ICD-LOSI Université de Technologie de Troyes Troyes Cedex10004 France School of Management Universidad de los Andes Bogotá Colombia

This paper presents a mathematical model to solve the Heterogeneous Vehicle Routing Problem (HVRP) in the context of hazardous materials (HazMat) transportation. To evaluate the model a linear approximation of the total routing risk is used as objective function. In the first stage a routing risk measure is proposed as a nonlinear function of the truck load. This function is approximated by means of two different piecewise linear functions (PLF). A genetic algorithm is employed to estimate the interval limits of PLF. These two functions are utilized to approximate the total routing risk for the best known solution for the benchmark instances of HVRP with fixed costs and unlimited fleet, both approaches are compared with the nonlinear risk function value. In the second stage the best piecewise linear approximation of the routing risk is integrated to a mixed integer linear programming (MILP) model for solving the risk optimization problem. The final model is tested on HVRP instances with 20 nodes. Results show that total cost minimization and total risk minimization appear to be conflicting objectives. © 2016

关键词： Integer programming Benchmarking Genetic algorithms Hazardous materials Hazards Materials handling Operations research Piecewise linear techniques Risk assessment Risk management Vehicle routing Hazardous materials transportation Heterogeneous vehicles Mixed integer linear programming model Piece wise linear functions Piecewise linear approximations Risk minimization Total cost minimizations Vehicle Routing Problems

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Synchronization Analysis of Piecewise-linear Lur'e Systems under Sampled-Data Control

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IFAC-PapersOnLine 2018年第25期51卷 234-239页

作者： Zani, Antonio Flores, Jeferson V. da Silva, João Manoel Gomes School of Engineering Universidade Federal do Rio Grande do Sul Av. Osvaldo Aranha 103 Porto AlegreRS90035-190 Brazil

This article addresses the master-slave synchronization problem of chaotic Lur'e-type systems under sampled-data control. In particular, the system nonlinearity is assumed to be described by a piecewise-linear function. Based on a Lur'e-type Lyapunov function and a looped-functional approach, LMI-based conditions are formulated to ensure that the difference between master and slave states converges asymptotically to zero provided that the time interval between two consecutive samples respects some bounds. An optimization problem is then proposed to determine the maximum allowable time between two successive samples in order to guarantee the synchronization. A Chua's circuit example illustrates the result. © 2018

关键词： Sampled data control systems linear matrix inequalities Lyapunov functions Piecewise linear techniques Synchronization Functional approach looped functional Lur'e systems Master slave synchronization Optimization problems Piece wise linear functions Sampled data control System nonlinearities

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Production Policy Optimization in Flexible Manufacturing-Remanufacturing Systems

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IFAC-PapersOnLine 2016年第12期49卷 295-300页

作者： Polotski, Vladimir Kenne, Jean-Pierre Gharbi, Ali Department of Mechanical Engineering United States Department of Automated Production Engineering Ecole de Technologie Superieure 1100 Notre Dame West MontrealQuebecH3C 1K3 United States

Hybrid systems that use in their production process both raw materials (manufacturing mode), and returned products (remanufacturing mode) are considered. The system is supposed to be fully flexible and able to share its production time between manufacturing and remanufacturing. The system performance is evaluated using a piecewise linear function of serviceable and return inventories. Limited flow rate of returned products results in the state constraint on the return inventory and imposes additional limitations on the system feasibility. Such systems, to the best of the authors knowledge, were not previously considered in the literature. After characterizing manufacturing-remanufacturing strategies analytically, we propose some heuristics that approximate optimal policies in case of systems without failures, and then extend them to the case of failure-prone systems. We present the numerical study based on the solution of Hamilton-Jacobi-Bellman equations, that complements analytical results and allows to validate the proposed sub-optimal policies. © 2016

关键词： Manufacture Dynamic programming Failure (mechanical) Hybrid materials Hybrid systems Piecewise linear techniques Analytical results feasibility Flexible manufacturing Hamilton Jacobi Bellman equation Optimal policies Piece wise linear functions remanufacturing Remanufacturing system

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Security-Constrained Unit Commitment Considering Demand Response Resource as Virtual Power Plant

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IFAC-PapersOnLine 2016年第27期49卷 290-295页

作者： Lee, Dongyeon Park, Daehyun Park, Jong-Bae Lee, Kwang-Y. Energy System Lab Konkuk University Seoul Korea Republic of Electrical and computer Engineering Baylor University Texas United States

This paper presents a new methodology to security-constrained unit commitment (SCUC) problem with demand response resource (DRR) which is regarded as virtual power plant (VPP). In this paper, based on DRR bids information submitted to Korea Power Exchange (KPX), price elasticity and peak load are calculated and DRR cost function is obtained. The scheduling includes generator characteristics, DRR and reliability constraints Cost functions for generator and DRR are modeled as a piecewise linear function and an Mixed Integer linear Programming (MILP) based method is applied to solve the optimization problem. Proposed methodology is tested and validated on The IEEE RTS-24 system. Through numerical simulation, DRR has demonstrated the decrease in the total operation cost as well as the curtailment of peak load. © 2016

关键词： Integer programming Cost functions Costs Piecewise linear techniques Demand response resources Generator characteristics Mixed integer linear programming Mixed integer linear programming (MILP) Piece wise linear functions Reliability constraints Security constrained unit commitment Virtual power plants (VPP)

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