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Abstract:

In this chapter, specific problems in risk, reliability and maintenance context are described, such as location of backup units, sequencing of maintenance activities, natural disasters, operation planning of a power system network, integrated production and maintenance scheduling, maintenance team sizing and reliability acceptance tests. This chapter presents a multicriteria decision model with an illustrative application for most of these problems. Amongst the MCDM/A approaches considered for the illustrative applications in this chapter are: Multi-attribute utility theory (MAUT), PROMETHEE II, NSGA-II. Regarding the reliability acceptance test an MCDM/A Bayesian approach is presented. For these problems, several aspects have been considered such as: size of population, degree of industrialization, the extent of health services (location of backup units); degree of damage, consumption, electric load, special clients, healthcare services, SAIDI and SAIFI (sequencing of maintenance activities); human, environmental, financial and infrastructure concerns (natural disasters); expected tardiness and maintenance costs (integrated production and maintenance scheduling); waiting time and cost of personnel (maintenance team sizing); probability of accepting equipment not in accordance with the reliability specified by the manufacturer; and delaying the project conclusion (reliability acceptance test). Finally, some aspects of multiobjective optimization are discussed.

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References

  • Aghezzaf E-H, Najid NM (2008) Integrated production planning and preventive maintenance in deteriorating production systems. Inf Sci (Ny) 178:3382–3392

    Article  Google Scholar 

  • Alardhi M, Hannam RG, Labib AW (2007) Preventive maintenance scheduling for multi‐cogeneration plants with production constraints. J Qual Maint Eng 13:276–292

    Article  Google Scholar 

  • Albuquerque LL de, Almeida AT de, Cavalcante CAV (2009) Aplicabilidade da programação matemática multiobjetivo no planejamento da expansão de longo prazo da geração no Brasil (Multiobjective mathematical programming applicability in long-term expansion planning of generation in Brazil). Pesqui Operacional 29 :153–177

    Google Scholar 

  • Allaoui H, Lamouri S, Artiba A, Aghezzaf E (2008) Simultaneously scheduling n jobs and the preventive maintenance on the two-machine flow shop to minimize the makespan. Int J Prod Econ 112:161–167

    Article  Google Scholar 

  • Almeida-Filho AT de, Ferreira RP, de Almeida AT (2013) A DSS Based on Multiple Criteria Decision Making for Maintenance Planning in an Electrical Power Distributor. In: Purshouse R, Fleming P, Fonseca C, et al. (eds) Evol. Multi-Criterion Optim. SE - 58. Springer Berlin Heidelberg, pp 787–795

    Google Scholar 

  • ANEEL (2012) Agência Nacional de Energia Elétrica, Brazil. Qualidade do serviço (Quality of service). Available at http://www.aneel.gov.br/area.cfm?idArea=79&idPerfil=2. Accessed 05 Mai 2012

  • Ángel-Bello F, Álvarez A, Pacheco J, Martínez I (2011) A heuristic approach for a scheduling problem with periodic maintenance and sequence-dependent setup times. Comput Math with Appl 61:797–808

    Article  Google Scholar 

  • Azaron A, Perkgoz C, Katagiri H, et al. (2009) Multi-objective reliability optimization for dissimilar-unit cold-standby systems using a genetic algorithm. Comput Oper Res 36:1562–1571

    Article  Google Scholar 

  • Barakat S, Bani-Hani K, Taha MQ (2004) Multi-objective reliability-based optimization of pre-stressed concrete beams. Struct Saf 26:311–342

    Article  Google Scholar 

  • Batista FRS, Geber de Melo AC, Teixeira JP, Baidya TKN (2011) The Carbon Market Incremental Payoff in Renewable Electricity Generation Projects in Brazil: A Real Options Approach. Power Syst IEEE Trans 26:1241–1251

    Article  Google Scholar 

  • Benmansour R, Allaoui H, Artiba A, et al. (2011) Simulation‐based approach to joint production and preventive maintenance scheduling on a failure‐prone machine. J Qual Maint Eng 17:254–267

    Article  Google Scholar 

  • Berger J (1985) Statistical Decision Theory and Bayesian Analysis (Springer Series in Statistics). Springer, New York

    Book  Google Scholar 

  • Bobrowsky PT (ed) (2013) Encyclopedia of Natural Hazards. Springer, Dordrecht

    Google Scholar 

  • Bornstein CT, Maculan N, Pascoal M, Pinto LL (2012) Multiobjective combinatorial optimization problems with a cost and several bottleneck objective functions: An algorithm with reoptimization. Computers and Operations Research, 39 (9): 1969-1976

    Article  Google Scholar 

  • Brandeau ML, Chiu SS (1989) An Overview of Representative Problems in Location Research. Manage Sci 35:645–674

    Article  Google Scholar 

  • Brans JP, Mareschal B (1984) PROMETHEE: a new family of outranking methods in multicriteria analysis. Operational Research 84. Brans JP (eds). Amsterdam: North-Holland, pp. 408–421

    Google Scholar 

  • Brans JP, Mareschal B (2002) Prométhée-Gaia: une méthodologie d’aide à la décision en présence de critères multiples. Éditions de l’Université de Bruxelles

    Google Scholar 

  • Cadini F, Zio E, Petrescu CA (2010) Optimal expansion of an existing electrical power transmission network by multi-objective genetic algorithms. Reliab Eng Syst Saf 95:173–181

    Article  Google Scholar 

  • Cassady CR, Kutanoglu E (2003) Minimizing Job Tardiness Using Integrated Preventive Maintenance Planning and Production Scheduling. IIE Trans 35:503–513

    Article  Google Scholar 

  • Certa A, Galante G, Lupo T, Passannanti G (2011) Determination of Pareto frontier in multi-objective maintenance optimization. Reliab Eng Syst Saf 96:861–867

    Article  Google Scholar 

  • Chiang T-A (2012) Multi-objective decision-making methodology to create an optimal design chain partner combination. Comput Ind Eng 63:875–889

    Article  Google Scholar 

  • Cho H-K, Bowman KP, North GR (2004) A Comparison of Gamma and Lognormal Distributions for Characterizing Satellite Rain Rates from the Tropical Rainfall Measuring Mission. J Appl Meteorol 43:1586–1597

    Article  Google Scholar 

  • Chou J-S, Le T-S (2011) Reliability-based performance simulation for optimized pavement maintenance. Reliab Eng Syst Saf 96:1402–1410

    Article  Google Scholar 

  • Cox LA Jr (2009) Risk analysis of complex and uncertain systems. Springer Science & Business Media

    Book  Google Scholar 

  • de Almeida AT, Cavalcante CAV, Ferreira RJP, et al. (2006) Location of Back-up Transformers. Eng. Manag. Conf. 2006 IEEE Int. IEEE, Salvador, Bahia, pp 300–302

    Google Scholar 

  • de Almeida AT, Ferreira RJP, Cavalcante CAV (2015) A review of multicriteria and multi-objective models in maintenance and reliability problems. IMA Journal of Management Mathematics (forthcoming)

    Google Scholar 

  • de Almeida AT, Souza FMC (1986) Bayes-Like Decisions in Reliability Engineering. In: Proceedings of International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, Paris, 30 June-4 July, 87-90

    Google Scholar 

  • de Almeida AT, Souza FMC (2001) Gestão da Manutenção: na Direção da Competitividade (Maintenance Management: Toward Competitiveness) Editora Universitária da UFPE. Recife

    Google Scholar 

  • De León JCV (2006) Vulnerability: A conceptual and methodological review. ‘Studies of the University: Research, Counsel, Education. No. 4/2006, Institute for Environment and Human Security (UNU-EHS), Bonn, Available at https://www.ehs.unu.edu/file/get/8337.pdf. Accessed 16 Jan 2014

  • Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6:182–197

    Article  Google Scholar 

  • DeWispelare AR (1984) A computer based application of non-linear multiple objective optimization. Comput Ind Eng 8:143–152

    Article  Google Scholar 

  • Dhingra AK (1992) Optimal apportionment of reliability and redundancy in series systems under multiple objectives. IEEE Trans Reliab 41:576–582

    Article  Google Scholar 

  • Diakoulaki D, Antunes CH, Gomes Martins A (2005) MCDA and Energy Planning. Mult. Criteria Decis. Anal. State Art Surv. SE - 21. Springer New York, pp 859–890

    Google Scholar 

  • Diniz AL, Maceira MEP (2008) A Four-Dimensional Model of Hydro Generation for the Short-Term Hydrothermal Dispatch Problem Considering Head and Spillage Effects. Power Syst IEEE Trans 23:1298–1308

    Article  Google Scholar 

  • Drezner Z, Hamacher HW (2004) Facility location: applications and theory. Springer Science & Business Media, New York

    Google Scholar 

  • Farag A, Al-Baiyat S, Cheng TC (1995) Economic load dispatch multiobjective optimization procedures using linear programming techniques. Power Syst IEEE Trans 10:731–738

    Article  Google Scholar 

  • Ferreira RJP, de Almeida AT, Ferreira HL (2010) Multi-attribute p-median model for location of back-up transformers. Brazilian J Oper Prod Manag 7(2):09–28

    Google Scholar 

  • Ferreira RJP, Ferreira HL (2012) Decision support system for location of back-up transformers based on a multi-attribute p-median model. Syst. Man, Cybern. (SMC), 2012 IEEE Int. Conf. IEEE, Seoul, pp 629–631

    Google Scholar 

  • Field CB, Barros V et al. (eds) (2012) IPCC – Managing the risks of extreme events and disasters to advance climate change adaptation. A Special Report of Working Groups I and II of the Intergovernmental Panel on Climate Change. Cambridge University Press, New York

    Google Scholar 

  • Fu G, Frangopol DM (1990) Balancing weight, system reliability and redundancy in a multi-objective optimization framework. Struct Saf 7:165–175

    Article  Google Scholar 

  • Girgin S, Krausmann E (2013) RAPID-N: Rapid natech risk assessment and mapping framework. J Loss Prev Process Ind 26(6):949–960

    Article  Google Scholar 

  • Gjorgiev B, Kančev D, Čepin M (2013) A new model for optimal generation scheduling of power system considering generation units availability. Int J Electr Power Energy Syst 47:129–139

    Article  Google Scholar 

  • Guikema SD (2009) Natural disaster risk analysis for critical infrastructure systems: An approach based on statistical learning theory. Reliab Eng Syst Saf 94:855–860

    Article  Google Scholar 

  • Hansson K, Danielson M, Ekenberg L, Buurman J (2013) Multiple Criteria Decision Making for Flood Risk Management. In: Amendola A, Ermolieva T, Linnerooth-Bayer J, Mechler R (eds) Integr. Catastr. Risk Model. SE - 4. Springer Netherlands, pp 53–72

    Google Scholar 

  • Hillier FS (1963) Economic Models for Industrial Waiting Line Problems. Manage Sci 10:119–130

    Article  Google Scholar 

  • Huttenlau M, Stötter J (2011) The structural vulnerability in the framework of natural hazard risk analyses and the exemplary application for storm loss modelling in Tyrol (Austria). Nat Hazards 58:705–729

    Article  Google Scholar 

  • IEEE (2012) Std 1366-2012: IEEE Guide for Electric Power Distribution Reliability Indices. IEEE, New York

    Google Scholar 

  • Ighravwe DE, Oke SA (2014) A non-zero integer non-linear programming model for maintenance workforce sizing. Int J Prod Econ 150:204–214

    Article  Google Scholar 

  • Jebaraj S, Iniyan S (2006) A review of energy models. Renew Sustain Energy Rev 10:281–311

    Article  Google Scholar 

  • Jha AK, Miner TW, Stanton-Geddes Z (2013) Building Urban Resilience: Principles, Tools, and Practice. 1–180. © World Bank. http://elibrary.worldbank.org/doi/book/10.1596/978-0-8213-8865-5

  • Ji M, He Y, Cheng TCE (2007) Single-machine scheduling with periodic maintenance to minimize makespan. Comput Oper Res 34:1764–1770

    Article  Google Scholar 

  • Jiang R, Ji P (2002) Age replacement policy: a multi-attribute value model. Reliab Eng Syst Saf 76(3):311–318

    Article  Google Scholar 

  • Jin T, Tian Y, Zhang CW, Coit DW (2013) Multicriteria Planning for Distributed Wind Generation Under Strategic Maintenance. Power Deliv IEEE Trans 28:357–367

    Article  Google Scholar 

  • Karimi I, Hüllermeier E (2007) Risk assessment system of natural hazards: A new approach based on fuzzy probability. Fuzzy Sets Syst 158:987–999

    Article  Google Scholar 

  • Keeney RL, Raiffa H (1976) Decisions with multiple objectives: Preferences and Value Trade-Offs. Wiley Series in Probability and Mathematical Statistics. Wiley and Sons, New York

    Google Scholar 

  • Keller EA, DeVecchio DE (2012) Earth’s Processes as Hazards, Disasters, and Catastrophes. Natural Hazards. Pearson Prentice Hall, New Jersey

    Google Scholar 

  • Konak A, Kulturel-Konak S, Levitin G (2012) Multi-objective optimization of linear multi-state multiple sliding window system. Reliab Eng Syst Saf 98(1):24–34

    Article  Google Scholar 

  • Krausmann E, Cozzani V, Salzano E, Renni E (2011) Industrial accidents triggered by natural hazards: an emerging risk issue. Nat Hazards Earth Syst Sci 11:921–929

    Article  Google Scholar 

  • Krausmann E, Cruz A (2013) Impact of the 11 March 2011, Great East Japan earthquake and tsunami on the chemical industry. Nat Hazards 67:811–828

    Article  Google Scholar 

  • Kumar Y, Das B, Sharma J (2006) Service restoration in distribution system using non-dominated sorting genetic algorithm. Electr Power Syst Res 76:768–777

    Article  Google Scholar 

  • Kumar Y, Das B, Sharma J (2008) Multiobjective, multiconstraint service restoration of electric power distribution system with priority customers. Power Deliv IEEE Trans 23:261–270

    Article  Google Scholar 

  • Li F, van Gelder PHAJM, Ranasinghe R, et al. (2014) Probabilistic modelling of extreme storms along the Dutch coast. Coast Eng 86:1–13

    Article  Google Scholar 

  • Li YF, Sansavini G, Zio E (2013) Non-dominated sorting binary differential evolution for the multi-objective optimization of cascading failures protection in complex networks. Reliab Eng Syst Saf 111:195–205

    Article  Google Scholar 

  • Lin C, Madu CN, Chien TW, Kuei C-H (1994) Queueing Models for Optimizing System Availability of a Flexible Manufacturing System. J Oper Res Soc 45(10):1141–1155

    Article  Google Scholar 

  • Linnekamp F, Koedam A, Baud ISA (2011) Household vulnerability to climate change: Examining perceptions of households of flood risks in Georgetown and Paramaribo. Habitat Int 35:447–456

    Article  Google Scholar 

  • Lins ID, Rêgo LC, Moura M das C, Droguett EL (2013) Selection of security system design via games of imperfect information and multi-objective genetic algorithm. Reliab Eng Syst Saf 112:59–66

    Google Scholar 

  • Lins PHC, de Almeida AT (2012) Multidimensional risk analysis of hydrogen pipelines. Int J Hydrogen Energy 37:13545–13554

    Article  Google Scholar 

  • Mareschal B, De Smet Y, Nemery P (2008) Rank reversal in the PROMETHEE II method: Some new results. Ind Eng Eng Manag 2008 IEEM 2008 IEEE Int Conf 959–963

    Google Scholar 

  • Marseguerra M, Zio E, Podofillini L (2002) Condition-based maintenance optimization by means of genetic algorithms and Monte Carlo simulation. Reliab Eng Syst Saf 77:151–165

    Article  Google Scholar 

  • Marseguerra M, Zio E, Podofillini L (2004) A multiobjective genetic algorithm approach to the optimization of the technical specifications of a nuclear safety system. Reliab Eng Syst Saf 84:87–99

    Article  Google Scholar 

  • Misra KB, Sharma U (1991) An efficient approach for multiple criteria redundancy optimization problems. Microelectron Reliab 31:303–321

    Article  Google Scholar 

  • Moghaddam KS (2013) Multi-objective preventive maintenance and replacement scheduling in a manufacturing system using goal programming. Int J Prod Econ 146:704–716

    Article  Google Scholar 

  • Moradi E, Fatemi Ghomi SMT, Zandieh M (2011) Bi-objective optimization research on integrated fixed time interval preventive maintenance and production for scheduling flexible job-shop problem. Expert Syst Appl 38:7169–7178

    Article  Google Scholar 

  • Moubray J (1997) Reliability-centered maintenance. Industrial Press Inc., New York

    Google Scholar 

  • Paul, BK (2011) Environmental hazards and disasters: contexts, perspectives and management. Wiley-Blackwell, Chichester

    Book  Google Scholar 

  • Pelling M (2003) Vulnerability of cities. Earthscan Publications Ltd., London

    Google Scholar 

  • Pine JC (2009) Natural hazards analysis: reducing the impact of disasters. CRC Press, Taylor & Francis Group, Florida

    Google Scholar 

  • Pinedo ML (2012) Scheduling: theory, algorithms, and systems. Fourth Edition. Springer, New York.

    Google Scholar 

  • Pinto RJ, Borges CLT, Maceira MEP (2013) An Efficient Parallel Algorithm for Large Scale Hydrothermal System Operation Planning. Power Syst IEEE Trans 28:4888–4896

    Article  Google Scholar 

  • Priori Jr L, Alencar MH, de Almeida AT (2015) Adaptations to possible climate change impacts: problem structuring based on VFT methodology. CDSID Working report

    Google Scholar 

  • Ramirez-Rosado IJ, Bernal-Agustin JL (2001) Reliability and costs optimization for distribution networks expansion using an evolutionary algorithm. Power Syst IEEE Trans 16:111–118

    Article  Google Scholar 

  • Rao SS, Dhingra AK (1992) Reliability and redundancy apportionment using crisp and fuzzy multiobjective optimization approaches. Reliab Eng Syst Saf 37:253–261

    Article  Google Scholar 

  • Rathod V, Yadav OP, Rathore A, Jain R (2013) Optimizing reliability-based robust design model using multi-objective genetic algorithm. Comput Ind Eng 66:301–310

    Article  Google Scholar 

  • Shafiee M, Finkelstein M (2015) An optimal age-based group maintenance policy for multi-unit degrading systems. Reliab Eng Syst Saf 134:230–238

    Article  Google Scholar 

  • Solecki W, Leichenko R, O’Brien K (2011) Climate change adaptation strategies and disaster risk reduction in cities: connections, contentions, and synergies. Curr Opin Environ Sustain 3:135–141

    Article  Google Scholar 

  • Soltani M, Corotis RB (1988) Failure cost design of structural systems. Struct Saf 5:239–252

    Article  Google Scholar 

  • Sortrakul N, Cassady CR (2007) Genetic algorithms for total weighted expected tardiness integrated preventive maintenance planning and production scheduling for a single machine. J Qual Maint Eng 13:49–61

    Article  Google Scholar 

  • Su L, Tsai H (2010) Flexible preventive maintenance planning for two parallel machines problem to minimize makespan. J Qual Maint Eng 16:288–302

    Article  Google Scholar 

  • Thywissen K (2006) Components of Risk: A Comparative Glossary. Institute for Environment and Human Security (UNU-EHS), Bonn

    Google Scholar 

  • Torres-Echeverría AC, Martorell S, Thompson HA (2012) Multi-objective optimization of design and testing of safety instrumented systems with MooN voting architectures using a genetic algorithm. Reliab Eng Syst Saf 106:45–60

    Article  Google Scholar 

  • Trivedi A, Srinivasan D, Sharma D, Singh C (2013) Evolutionary Multi-Objective Day-Ahead Thermal Generation Scheduling in Uncertain Environment. Power Syst IEEE Trans 28:1345–1354

    Article  Google Scholar 

  • Vari A, Linnerooth-Bayer J, Ferencz Z (2003) Stakeholder Views on Flood Risk Management in Hungary’s Upper Tisza Basin. Risk Anal 23:585–600

    Article  Google Scholar 

  • Wang Y, Pham H (2011) A Multi-Objective Optimization of Imperfect Preventive Maintenance Policy for Dependent Competing Risk Systems with Hidden Failure. Reliab IEEE Trans 60:770–781

    Article  Google Scholar 

  • Wong KP, Fan B, Chang CS, Liew AC (1995) Multi-objective generation dispatch using bi-criterion global optimisation. Power Syst IEEE Trans 10:1813–1819

    Article  Google Scholar 

  • Yokoyama R, Bae SH, Morita T, Sasaki H (1988) Multiobjective optimal generation dispatch based on probability security criteria. Power Syst IEEE Trans 3:317–324

    Article  Google Scholar 

  • Zidan A, Shaaban MF, El-Saadany EF (2013) Long-term multi-objective distribution network planning by DG allocation and feeders’ reconfiguration. Electr Power Syst Res 105:95–104

    Article  Google Scholar 

  • Zio E, Golea LR, Rocco S. CM (2012) Identifying groups of critical edges in a realistic electrical network by multi-objective genetic algorithms. Reliab Eng Syst Saf 99:172–177

    Google Scholar 

  • Zischg A, Schober S, Sereinig N, et al. (2013) Monitoring the temporal development of natural hazard risks as a basis indicator for climate change adaptation. Nat Hazards 67:1045–1058

    Article  Google Scholar 

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de Almeida, A.T., Cavalcante, C.A.V., Alencar, M.H., Ferreira, R.J.P., de Almeida-Filho, A.T., Garcez, T.V. (2015). Other Risk, Reliability and Maintenance Decision Problems. In: Multicriteria and Multiobjective Models for Risk, Reliability and Maintenance Decision Analysis. International Series in Operations Research & Management Science, vol 231. Springer, Cham. https://doi.org/10.1007/978-3-319-17969-8_12

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