Editorial Board
Publishing Ethics
Author Guide
Submission Prepare Your ManuscriptPeer review
Archive
Volume 29, No 2, 2022, P. 5-23
UDC 519.8+518.25
Yu. A. Kochetov, V. A. Legkokonets, A. A. Panin, A. V. Plyasunov, and L. V. Som
The problem of gas treatment and transportation
Abstract:
The paper considers a new problem of gas treatment and transportation. The specific feature of this problem is the combination of location and routing processes. The rates of gas extraction in gas fields, as well as the distances both between gas fields and to gas delivery points are known. It is required to place preliminary and complex gas treatment units at the fields and to build a pipeline system at the lowest financial cost so that all extracted gas would be prepared (brought) to a quality of dry purified gas (DOP) and delivered to gas delivery points.
We build a mathematical model in terms of mixed integer linear programming was constructed. An approximate hybrid algorithm based on heuristic approaches was developed to solve the problem. The efficiency of the algorithm is confirmed by comparison with exact algorithms of solution implemented in Gurobi, Cplex and Pulp on applied instances with real gas fields.
Tab. 5, bibliogr. 14.
Keywords: gas treatment and transportation, local search, greedy algorithm, mixed integer linear programming, NP-hardness.
DOI: 10.33048/daio.2022.29.720
Yuri A. Kochetov1
Vladislav A. Legkokonets2
Artem A. Panin1
Aleksandr V. Plyasunov1
Aleksandr V. Plyasunov1
1. Sobolev Institute of Mathematics,
4 Koptyug Ave., 630090 Novosibirsk, Russia
2. Gazpromneft Science and Technology Centre,
75–79 D Moika River Embankment, 190000 St. Petersburg, Russia
e-mail: jkochet@math.nsc.ru, legkokonets.va@gazpromneft-ntc.ru, aapanin1988@gmail.com, apljas@math.nsc.ru, milisom@mail.ru
Received July 3, 2021
Revised December 7, 2021
Accepted December 9, 2021
References
[1] R. Z. Ríos-Mercado and C. Borraz-Sánchez, Optimization problems in natural gas transportation systems: A state-of-the-art review, Appl. Energy 147, 536–555 (2015).[2] Q. P. Zheng, S. Rebennack, N. A. Iliadis, and P. M. Pardalos, Optmization models in the natural gas industry, in Handbook of Power Systems I (Springer, Heidelberg, 2010), pp. 121–148.
[3] T. H. Welch, J. G. Smith, J. P. Rix, and R. D. Reader, Meeting seasonal peak demands for natural gas, J. Oper. Res. Soc. 22, 93–106 (1971).
[4] L. Contesse, J. C. Ferrer, and S. Maturana, A mixed-integer programming model for gas purchase and transportation, Ann. Oper. Res. 139 (1), 39–63 (2005).
[5] N. de Nevers and A. Day, Packing and drafting in natural gas pipelines, J. Pet. Technol. 35 (3), 655–658 (1983).
[6] R. G. Carter and H. H. Rachford, Jr., Optimizing line-pack management to hedge against future load uncertainty, in Proc. 35th PSIG Annu. Meet., Bern, Switzerland, Oct. 15–17, 2003 (PSIG, Houston, 2003), PSIG-0306.
[7] P. Krishnaswami, K. S. Chapman, and M. Abbaspour, Compressor station optimization for linepack maintenance, in Proc. 36th PSIG Annu. Meet., Palm Springs, CA, USA, Oct. 20–22, 2004 (PSIG, Houston, 2004), PSIG-0410.
[8] L. Frimannslund and D. Haugland, Line pack management for improved regularity in pipeline gas transportation networks, in Safety, Reliability and Risk Analysis: Theory, Methods and Applications, Vol. 4 (CRC Press, Lieden, 2009), pp. 2963–2969.
[9] C. Borraz-Sánchez, Optimization methods for pipeline transportation of natural gas, PhD Thesis (Univ. Bergen, Bergen, 2010).
[10] F. You, J. M. Pinto, E. Capon, I. E. Grossmann, N. Arora, and L. Megan, Optimal distribution-inventory planning of industrial gases. I. Fast computational strategies for large-scale problems, Ind. Eng. Chem. Res. 50 (5), 2910–2927 (2011).
[11] L. Lei, S. Liu, A. Ruszczynski, and S. Park, On the integrated production, inventory, and distribution routing problem, IIE Trans. 38 (11), 955–970 (2006).
[12] Discrete Location Theory (John Wiley Sons, New York, 1990).
[13] Z. Diakova and Yu. A. Kochetov, A double VNS heuristic for the facility location and pricing problem, Electron. Notes Discrete Math. 39, 29–34 (2012).
[14] Yu. A. Kochetov, A. A. Panin, and A. V. Plyasunov, Comparison of metaheuristics for the bilevel facility location and mill pricing problem, Diskretn. Anal. Issled. Oper. 22 (3), 36–54 (2015) [Russian] [J. Appl. Ind. Math. 9 (3), 392–401 (2015)].
