Abstract
In this chapter an overview on metaheuristic algorithms that have been very successful on tackling a particular class of natural gas pipeline network optimization problems is presented. In particular, the problem of minimizing fuel consumption incurred by the compressor stations driving natural gas in pipeline networks is addressed. This problem has been studied from different angles over the past few years by virtue of its tremendous economical impact. First, a general mathematical framework for this class of problems is presented. After establishing the most relevant model properties and fundamental network topologies, which are key factors for choosing an appropriate solution technique, current state-of-the-art metaheuristics are presented for handling different versions of this problem. This work concludes by highlighting the most relevant and important challenges of this very exciting area of research in natural gas transportation networks.
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References
Aalto H (2008) Optimal control of natural gas pipeline networks: a real-time, model-based, receding horizon optimisation approach. VDM Verlag, Saarbrücken
Anglard P, David P (1988) Hierarchical steady state optimization of very large gas pipelines. In: Proceedings of the 20th PSIG annual meeting, Toronto
Borraz-Sánchez C, Haugland D (2011) Minimizing fuel cost in gas transmission networks by dynamic programming and adaptive discretization. Comput Ind Eng 61(2):364–372
Borraz-Sánchez C, Ríos-Mercado RZ (2005) A hybrid meta-heuristic approach for natural gas pipeline network optimization. In: Blesa MJ, Blum C, Roli A, Sampels M (eds) Hybrid metaheuristics. Springer, Berlin, pp 54–65
Borraz-Sánchez C, Ríos-Mercado RZ (2009) Improving the operation of pipeline systems on cyclic structures by tabu search. Comput Chem Eng 33(1):58–64
Carter RG (1998) Pipeline optimization: dynamic programming after 30 years. In: Proceedings of the 30th PSIG annual meeting, Denver
Chebouba A, Yalaoui F, Smati A, Amodeo L, Younsi K, Tairi A (2009) Optimization of natural gas pipeline transportation using ant colony optimization. Comput Oper Res 36(6):1916–1923
Cobos-Zaleta D, Ríos-Mercado RZ (2002) A MINLP model for minimizing fuel consumption on natural gas pipeline networks. In: Proceedings of the XI Latin-Ibero-American conference on operations research, Concepción
De Wolf D, Smeers Y (2000) The gas transmission problem solved by an extension of the simplex algorithm. Manag Sci 46(11):1454–1465
Domschke P, Geißler B, Kolb O, Lang J, Martin A, Morsi A (2011) Combination of nonlinear and linear optimization of transient gas networks. INFORMS J Comput 23(4):605–617
Ehrhardt K, Steinbach MC (2005) Nonlinear optimization in gas networks. In: Bock HG, Kostina E, Phu HX, Rannacher R (eds) Modeling, simulation and optimization of complex processes. Springer, Berlin, pp 139–148
Flores-Villarreal HJ, Ríos-Mercado RZ (2003) Computational experience with a GRG method for minimizing fuel consumption on cyclic natural gas networks. In: Mastorakis NE, Stathopulos IA, Manikopoulos C, Antoniou GE, Mladenov VM, Gonos IF (eds) Computational methods in circuits and systems applications. WSEAS Press, Athens, pp 90–94
Jin L, Wojtanowocz AK (2010) Optimization of large gas pipeline network – a case study in China. J Can Pet Technol 49(4):36–43
Ke SL, Ti HC (2000) Transient analysis of isothermal gas flow in pipeline network. Chem Eng J 76(2):169–177
Lall HS, Percell PB (1990) A dynamic programming based gas pipeline optimizer. In: Bensoussan A, Lions JL (eds) Analysis and optimization of systems. Lecture notes in control and information sciences, vol 144. Springer, Berlin, pp 123–132
Larson RE, Wismer DA (1971) Hierarchical control of transient flow in natural gas pipeline networks. In: Proceedings of the IFAC symposium on distributed parameter systems, Banff,
Luongo CA, Gilmour BJ, Schroeder DW (1989) Optimization in natural gas transmission networks: a tool to improve operational efficiency. Technical report. Stoner Associates, Inc., Houston
Mahlke D, Martin A, Moritz S (2007) A simulated annealing algorithm for transient optimization in gas networks. Math Methods Oper Res 66(1):99–115
Mantri VB, Preston LB, Pringle CS (1985) Transient optimization of a natural gas pipeline system. In: Proceedings of the 17th PSIG annual meeting, Albuquerque
Martin A, Möller M, Moritz S (2006) Mixed integer models for the stationary case of gas network optimization. Math Program 105(2–3):563–582
Osiadacz AJ (1994) Dynamic optimization of high pressure gas networks using hierarchical systems theory. In: Proceedings of the 26th PSIG annual meeting, San Diego
Osiadacz AJ (1998) Hierarchical control of transient flow in natural gas pipeline systems. Int Trans Oper Res 5(4):285–302
Osiadacz AJ, Bell DJ (1986) A simplified algorithm for optimization of large-scale gas networks. Optim Control Appl Methods 7(1):95–104
Osiadacz AJ, Chaczykowski M (2001) Comparison of isothermal and non-isothermal pipeline gas flow models. Chem Eng J 81(1):41–51
Osiadacz AJ, Swierczewski S (1994) Optimal control of gas transportation systems. In: Proceedings of the 3rd IEEE conference on control applications, Glasgow, pp 795–796. ISBN:0-7803-1872-2
Percell PB, Ryan MJ (1987) Steady-state optimization of gas pipeline network operation. In: Proceedings of the 19th PSIG annual meeting, Tulsa
Pratt KF, Wilson JG (1984) Optimisation of the operation of gas transmission systems. Trans Inst Meas Control 6(5):261–269
Ríos-Mercado RZ (2002) Natural gas pipeline optimization. In: Pardalos PM, Resende MGC (eds) Handbook of applied optimization, chap 18.8.3. Oxford University Press, New York, pp 813–825
Ríos-Mercado RZ, Borraz-Sánchez C (2015) Optimization problems in natural gas transportation systems: a state-of-the-art review. Appl Energy 147:536–555
Ríos-Mercado RZ, Wu S, Scott LR, Boyd EA (2002) A reduction technique for natural gas transmission network optimization problems. Ann Oper Res 117(1–4):217–234
Ríos-Mercado RZ, Kim S, Boyd EA (2006) Efficient operation of natural gas transmission systems: a network-based heuristic for cyclic structures. Comput Oper Res 33(8):2323–2351
Schmidt M, Steinbach MC, Willert BM (2015) High detail stationary optimization models for gas networks. Optim Eng 16(1):131–164
Suresh K, Ghosh S, Kundu D, Sen A, Das S, Abraham A (2008) Inertia-adaptive particle swarm optimizer for improved global search. In: Proceedings of the eighth international conference on intelligent systems design and applications. IEEE Computer Society, Los Alamitos, pp 253–258
Tabkhi F, Pibouleau L, Hernandez-Rodriguez G, Azzaro-Pantel C, Domenech S (2010) Improving the performance of natural gas pipeline networks fuel consumption minimization problems. AIChE J 56(4):946–964
Tao WQ, Ti HC (1998) Transient analysis of gas pipeline network. Chem Eng J 69(1):47–52
Wong PJ, Larson RE (1968a) Optimization of natural-gas pipeline systems via dynamic programming. IEEE Trans Autom Control AC–13(5):475–481
Wong PJ, Larson RE (1968b) Optimization of tree-structured natural-gas transmission networks. J Math Anal Appl 24(3):613–626
Wu S, Ríos-Mercado RZ, Boyd EA, Scott LR (2000) Model relaxations for the fuel cost minimization of steady-state gas pipeline networks. Math Comput Model 31(2–3):197–220
Wu X, Li C, Jia W, He Y (2014) Optimal operation of trunk natural gas pipelines via an inertia-adaptive particle swarm optimization algorithm. J Nat Gas Sci Eng 21:10–18
Zheng QP, Rebennack S, Iliadis NA, Pardalos PM (2010) Optimization models in the natural gas industry. In: Rebennack S, Pardalos PM, Pereira MVF, Iliadis NA (eds) Handbook of power systems I, energy systems. Springer, Berlin, pp 121–148
Acknowledgements
The research of the author was supported by the Mexican Council for Science and Technology, grant CONACyT CB-2011-01-166397. The author would also like to thank the editors for their helpful remarks and suggestions.
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Rı́os-Mercado, R.Z. (2017). Metaheuristics for Natural Gas Pipeline Networks. In: Martí, R., Panos, P., Resende, M. (eds) Handbook of Heuristics. Springer, Cham. https://doi.org/10.1007/978-3-319-07153-4_51-1
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DOI: https://doi.org/10.1007/978-3-319-07153-4_51-1
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