Multi-objective optimization - DPCS@IN3-UOC

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Transcript Multi-objective optimization - DPCS@IN3-UOC

MOGISA Group

November 2011 Modeling, Optimization, and Integrated Management of Systems of Activities Toulouse, France MOGISA 1

LAAS-CNRS

  LAAS = Laboratory for Analysis and Architecture of Systems Founded in 1967  Laboratory of the French National Center for Scientific Research (CNRS)  More than 650 persons:   Research scientists Faculty members (  (  100) 100)  Graduate, PhD students, and postdocs (  300)  Engineers, technicians, and administrative clerks (  100)  Associated to:  Université Paul Sabatier (UPS)  Institut National Polytechnique (INP)   Institut National des Sciences Appliquées (INSA) Institut Supérieur de l’Aéronautique et de l’Espace (ISAE)  4 thematic research areas:   Micro and Nano Systems (

MINAS

) Modelling, Optimisation and Control of Systems (

MOCOSY

)   Robotics and Artificial Intelligence (

RIA

) Critical Computer Systems (

SINC

) November 2011 MOGISA 2

Decision and Optimization theme

     Discrete and continuous optimization Constraint satisfaction Performance evaluation Robust, non-linear, saturated control Model-based diagnosis  3 research teams:    DISCO (diagnosis, supervision) MAC (control) MOGISA (discrete optimization, discrete-event dynamic systems) November 2011 MOGISA 3

November 2011

MOGISA: Members

(February 15, 2012)

11 research scientists – 8 PhD students – 1 post-docs

 Head: ARTIGUES Christian (DR)  Research scientists  BRIAND Cyril (Pr)  ESQUIROL Patrick (Mcf)  HEBRARD Emmanuel (CR)   HOUSSIN Laurent (Mcf) HUGUET Marie José (Mcf)  JOZEFOWIEZ Nicolas (Mcf)  LOPEZ Pierre (DR)  MERCE Colette (Pr)  MONCEL Julien (Mcf)  NGUEVEU Sandra (Mcf)  PhD Students (year of defence)         CHABAANE Nadia (2015) BEN RAHHOU Touria (2013) GAOUA Yacine (2014) MALTA Leonardo (2015) SARPONG Boadu (2013) SIALA Mohamed (2014) TANGPATTANAKUL Panwadee (2013) TROJET Mariem (2013)  Secretary  MOUCLIER Christèle  Post-doc SIMONIN Gilles MOGISA 4

Scientific objectives

   Research domains    Operations Research Artificial Intelligence (Constraints) Control Theory (Discrete-Event Systems) Research topics  Discrete optimization & Constraint satisfaction    Supply chain management Scheduling Transportation General stakes   Advances (models, algorithms, general methods) for fundamental problems Tackling complex constraints and multiple objectives for real-world applications  Coping with uncertainty and dynamics November 2011 MOGISA 5

Discrete Optimization and Constraint Satisfaction

 Objectives  General methods for solving: 

NP-hard

discrete optimization problems min f(x) x  X 

NP-complete

satisfaction problems  x, D(x)  C  Results  Tree search enhanced with learning mechanisms    Tree-based local search: discrepancy search improvements Large neighborhood search embedding implicit enumeration Constraint propagation-based cutting planes for integer programming November 2011  Applications to industrial problems  Frequency assignment in telecommunications  Production scheduling, project management, supply chain management, passenger transportation… MOGISA 6

Discrete Optimization and Constraint Satisfaction: trends

Robust discrete optimization

 Problems computationally challenging and currently intractable even for small instance problems   New constraint & integer programming approaches Application for robust scheduling (facing to limits of interval representation for uncertainty of data) 

Multi-objective optimization

 Exact methods   MIP as search components

Matheuristics

(

e.g.

, local branching) 

Constraint propagation and satisfaction

 Methods hybridization, integration and cross-fertilization for discrete optimization pbs  From CP, SAT, MIP, Metaheuristics, Mach. Learning, Parameterized Complexity November 2011 MOGISA 7

Scheduling

 Objectives  Integrating complex constraints from real-world applications and tackling uncertainty  Results      Complexity results on open problems Branch-and-bound methods for complex shop problems New MIP formulations (OMSP, RCPSP) Generalized resource constraint propagation New approach to generate flexible solutions for robust scheduling November 2011  Applications to industrial problems   wafer manufacturing crew scheduling MOGISA 8

Scheduling: trends

New challenges

 Parallel processors    Resource flexibility in production systems Power management systems Energy 7.0

7.1

6.0

6.1

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ALU 4.0

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1.0

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MEM CTL 1.3

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ODD 2.0

3 2.1

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7 0 1 2 4 6 8 2.3

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New efficient (exact and approximate) methods

for November 2011      cyclic scheduling problems under resource constraints scheduling under alternatives multi-objective scheduling mathematical models and constraint propagation approaches for energy constraints & objectives

(max,+) algebra

for solving and for performance evaluation of schedules MOGISA 3 9

Robust scheduling

  November 2011

Cooperation vs. Robustness (ROBOCOOP)

   Tasks are distributed among a set of agent Agent schedules are robust Distributed and reactive scheduling:    

Negotiation

between Agents Convergence of negotiations in finite time Trade-off between global and local objectives Cooperation mechanisms

Robust scheduling for innovative projects

 Problem     Activity failure implies project failure Past project investments are definitively lost  Alternative activities exist (flexibility): if an activity fails, but one alternative activity succeeds, project can go on Decision variables  Determine which activities have to be launched and their start time Objectives   Investments minimization Risk of project failure minimization (robustness) MOGISA 10

Land transportation

  Objectives  Solving complex Vehicle Routing / Passenger Transportation Problems Results: New models and methods for  Generalized TSPs     Multi-objective VRPs   VRP with route balancing Bi-objective TSPs with accessibility VRPs on multi-graphs Unusual objectives: stability Large Arc Routing Problems   Applications Waste collecting  Railway tracks examination November 2011 MOGISA 11

Land transportation: trends

 Goal   Convergence toward more realistic problems Optimization of individual/public transports  Challenges  Multi-modality in passenger transportation and VRPs     Advance the use of multi-objective optimization Problems with many constraints (“rich”) Dynamicity Take into account the human side of problems  Applications    Door-to-door service network (ANR + DHL) High-capacity and real-time on-demand transportation Multi-modal algorithms for GIS November 2011 MOGISA 12

Optimization in space

 ROSETTA/MOST (Post-doc – CNES Contract)  Scheduling of scientific experiences  Data transfer management system  Limited energy November 2011 MOGISA 13

Optimization in space

 Image-taking Scheduling of Earth observation satellites (PhD thesis THEOS Operational Training Program + Project CNES + Astrium/ONERA on flexible scheduling) November 2011 MOGISA 14

Optimization in space

 Frequency allocation for satellite communications (Collaboration with Thales AS) November 2011 MOGISA 15

Contracts & collaborations

  Industrial contracts : EADS, Airbus, Thales, Astrium, CNES, SNCF, Amadeus Academic projects November 2011  Local and National collaborations   IMT , LARA/ENAC, CLLE/LTC IBM/ILOG, INRIA Lille-Nord Europe, LAMSADE, LAGIS/ECL, LAPS Bordeaux, LI Avignon, LI Tours, LIMOS, LISA Angers, LOSI Troyes, LIP6,…  International collaborations : Spain, Canada, Belgium, Germany, Tunisia, Algeria … MOGISA 16

November 2011

Other visibility

 Involvement in life of ROADEF http://www.roadef.org/ http://www2.lifl.fr/PM2O/ (French OR&DA society) http://challenge.roadef.org/ http://roadef2010.fr/    Reporting (CRSNG Canada, ECOS-Sud/Nord, FWO Belgium, ANR, ANRT, “Régions”…)   Program committees of conferences (IESM, ILS, MISTA, MOSIM, ROADEF, JFPDA, CIGI) Conference organization : ROADEF 2010, JFPC 2012, Odysseus 2015 MOGISA 17

Publications 01/2005-12/2010

    40 journals with review board 2 books (editor) 80 refereed conferences with proceedings 11 book chapters November 2011   15 PhD thesis 2 “ HDR ” MOGISA 18

What do we wish to develop ?

November 2011 

Multiobjective optimization

 New methods  Parallelization to overcome computational complexity  Applications 

Optimization under uncertainties

 Robust optimization  Stochastic programming 

Collaborative logistics

 Intermodal transportation  Integrated systems MOGISA 19

MOGISA Group

November 2011 Modeling, Optimization, and Integrated Management of Systems of Activities November, 2011 MOGISA 20