Over the past few years, water allocation problem has increasingly spotlighted by governments, researchers and practitioners. As water plays an important role in people’s life and business environment, the problem of water allocation should be considered carefully to properly satisfy demand of water consumers. In the real world applications, problems like water allocation are uncertain owing to long-term planning horizon of such problems. Therefore, employing efficient methods for tackling uncertainty of parameters should be regarded by field researchers. In this regard, this paper proposes a bi-objective mathematical programming model for water distribution network design. The extended model maximizes total profit of water distribution as well as maximizing priority of water transferring among water customer zones. Then, to cope effectively with uncertainty of parameters, a novel robust possibilistic programming method is applied. Then, fuzzy and robust fuzzy programming models are compared against each other and output results confirm superiority and effective performance of the robust fuzzy model in the water allocation problem. Also, output results of the extended model show its accurate performance that results in applicability of the model as a strong planning tool in real world cases.
Accepté le :
DOI : 10.1051/ro/2018058
Mots-clés : Water allocation problem, uncertainty, robust possibilistic programming
@article{RO_2019__53_1_323_0,
author = {Fazli-Khalaf, Mohamadreza and Fathollahzadeh, Karo and Mollaei, Amir and Naderi, Bahman and Mohammadi, Mohammad},
title = {A robust possibilistic programming model for water allocation problem},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {323--338},
publisher = {EDP-Sciences},
volume = {53},
number = {1},
year = {2019},
doi = {10.1051/ro/2018058},
zbl = {1414.90235},
mrnumber = {3912477},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2018058/}
}
TY - JOUR AU - Fazli-Khalaf, Mohamadreza AU - Fathollahzadeh, Karo AU - Mollaei, Amir AU - Naderi, Bahman AU - Mohammadi, Mohammad TI - A robust possibilistic programming model for water allocation problem JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2019 SP - 323 EP - 338 VL - 53 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2018058/ DO - 10.1051/ro/2018058 LA - en ID - RO_2019__53_1_323_0 ER -
%0 Journal Article %A Fazli-Khalaf, Mohamadreza %A Fathollahzadeh, Karo %A Mollaei, Amir %A Naderi, Bahman %A Mohammadi, Mohammad %T A robust possibilistic programming model for water allocation problem %J RAIRO - Operations Research - Recherche Opérationnelle %D 2019 %P 323-338 %V 53 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2018058/ %R 10.1051/ro/2018058 %G en %F RO_2019__53_1_323_0
Fazli-Khalaf, Mohamadreza; Fathollahzadeh, Karo; Mollaei, Amir; Naderi, Bahman; Mohammadi, Mohammad. A robust possibilistic programming model for water allocation problem. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 1, pp. 323-338. doi : 10.1051/ro/2018058. http://www.numdam.org/articles/10.1051/ro/2018058/
[1] , and , A two-stage stochastic programming approach for value-based closed-loop supply chain network design. Transp. Res. Part E: Logist. Transp. Rev. 105 (2017) 1–17. | DOI
[2] and , A fuzzy compromise approach to water resource systems planning under uncertainty. Fuzzy Sets Syst. 115 (2000) 35–44. | DOI
[3] and , Selected topics in robust convex optimization. Math. Program. 112 (2007) 125–158. | DOI | MR | Zbl
[4] , and , Integrating biomass quality variability in stochastic supply chain modeling and optimization for large-scale biofuel production. J. Clean. Prod. 149 (2017) 904–918. | DOI
[5] , and , Design of water distribution network for equitable supply. Water Resour. Manage. 26 (2011) 391–406. | DOI
[6] , and , Reliable water supply system design under uncertainty. Environ. Model. Softw. 24 (2009) 449–462. | DOI
[7] and , Design of close-loop supply chain network under uncertainty using hybrid genetic algorithm: a fuzzy and chance-constrained programming model. Comput. Ind. Eng. 88 (2015) 444–457. | DOI
[8] , and , Robust solutions to uncertain semidefinite programs. SIAM J. Optim. 9 (1998) 33–52. | DOI | MR | Zbl
[9] , , and , A novel robust fuzzy stochastic programming for closed loop supply chain network design under hybrid uncertainty. Fuzzy Sets Syst. 341 (2018) 69–91. | DOI | MR | Zbl
[10] and , A compromise programming model to integrated urban water management. Water Resour. Manage. 24 (2009) 1211–1227. | DOI
[11] , and , Multi-objective stochastic multi-site supply chain planning under demand uncertainty considering downside risk. Comput. Ind. Eng. 102 (2016) 268–279. | DOI
[12] , Closure to “Probabilistic model for water distribution reliability” by Ian C. Goulter. J. Water Resour. Planning Manage. 125 (1999) 384. | DOI
[13] , , , and , An optimization framework for the integration of water management and shale gas supply chain design. Comput. Chem. Eng. 92 (2016) 230–255. | DOI
[14] , , and , A robust possibilistic programming model for a responsive closed loop supply chain network design. Cogent Math. 4 (2017) 1329886. | DOI | MR | Zbl
[15] , and , Limited multi-stage stochastic programming for managing water supply systems. Environ. Model. Softw. 41 (2013) 53–64. | DOI
[16] and , Multireservoir system optimization using fuzzy mathematical programming. Water Resour. Manage. J. 14 (2000) 457–472. | DOI
[17] and , Possibilistic linear-programming approach for supply chain networking decisions. Eur. J. Oper. Res. 209 (2011) 253–264. | DOI | MR | Zbl
[18] , and , Multiobjective design of water distribution systems under uncertainty. Water Resour. Res. 41 (2005) 1–15. | DOI
[19] and , Choosing robust solutions in discrete optimization problems with fuzzy costs. Fuzzy Sets Syst. 160 (2009) 667–682. | DOI | MR | Zbl
[20] , , and , A robust optimization model for multi-site production planning problem in an uncertain environment. Eur. J. Oper. Res. 181 (2007) 224–238. | DOI | Zbl
[21] and , A multi-objective optimal allocation model for irrigation water resources under multiple uncertainties. Appl. Math. Model. 38 (2014) 4897–4911. | DOI | Zbl
[22] , and , An interval-parameter multi-stage stochastic programming model for water resources management under uncertainty. Adv. Water Res. 29 (2006) 776–789. | DOI
[23] , , and , A multistage fuzzy-stochastic programming model for supporting sustainable water-resources allocation and management. Environ. Model. Softw. 24 (2009) 786–797. | DOI
[24] , and , Planning water resources management systems using a fuzzy-boundary interval-stochastic programming method. Adv. Water Res. 33 (2010) 1105–1117. | DOI
[25] , and , Development of an interval-valued fuzzy linear-programming method based on infinite α-cuts for water resources management. Environ. Model. Softw. 25 (2010) 354–361. | DOI
[26] , and , An inexact rough-interval fuzzy linear programming method for generating conjunctive water-allocation strategies to agricultural irrigation systems. Appl. Math. Model. 35 (2011) 4330–4340. | DOI | MR | Zbl
[27] , , , and , Robust environmental closed-loop supply chain design under uncertainty. Chaos Solitons Fractals 89 (2016) 195–202. | DOI | Zbl
[28] and , A stochastic programming approach to integrated water supply and wastewater collection network design problem. Comput. Chem. Eng. 104 (2017) 107–127. | DOI
[29] and , Robust bi-objective macroscopic municipal water supply network redesign and rehabilitation. Water Resour. Manage. 31 (2017) 2689–2711. | DOI
[30] , , and , IFRP: a hybrid interval-parameter fuzzy robust programming approach for waste management planning under uncertainty. J. Environ. Manage. 84 (2007) 1–11. | DOI
[31] and , Robust supply chain design under uncertain demand in agile manufacturing. Comput. Oper. Res. 37 (2010) 668–683. | DOI | Zbl
[32] , , and , Fuzzy optimization for supply chain planning under supply, demand and process uncertainties. Fuzzy Sets Syst. 160 (2009) 2640–2657. | DOI | MR | Zbl
[33] , and , Optimizing fuzzy reverse supply chain for end-of-life vehicles. Comput. Ind. Eng. 113 (2017) 757–765. | DOI
[34] and , Novel robust fuzzy mathematical programming methods. Appl. Math. Model. 40 (2016) 407–418. | DOI | MR | Zbl
[35] and , Environmental supply chain network design using multi-objective fuzzy mathematical programming. Appl. Math. Model. 36 (2012) 3433–3446. | DOI | MR | Zbl
[36] and , A possibilistic programming approach for closed-loop supply chain network design under uncertainty. Fuzzy Sets Syst. 161 (2010) 2668–2683. | DOI | MR | Zbl
[37] , and , Robust possibilistic programming for socially responsible supply chain network design: a new approach. Fuzzy Sets Syst. 206 (2012) 1–20. | DOI | MR | Zbl
[38] and , Blood supply chain network design under uncertainties in supply and demand considering social aspects. Transp. Res. Part E: Logist. Transp. Rev. 104 (2017) 69–82. | DOI
[39] , , and , Closed-loop supply chain network design under a fuzzy environment. Knowl.-Based Syst. 59 (2014) 108–120. | DOI
[40] and , Design and operation of water desalination supply chain using mathematical modelling approach. Desalination 351 (2014) 184–201. | DOI
[41] , , and , A fuzzy inexact two-phase programming approach to solving optimal allocation problems in water resources management. Appl. Math. Model. 38 (2014) 5502–5514. | DOI | Zbl
[42] and , Optimal design of water distribution networks considering fuzzy randomness of demands using cross entropy optimization. Water Resour. Manage. 28 (2014) 4075–4094. | DOI
[43] , , and , Fuzzy multi-objective sustainable and green closed-loop supply chain network design. Comput. Ind. Eng. 109 (2017) 191–203. | DOI
[44] and , An interactive possibilistic programming approach for multiple objective supply chain master planning. Fuzzy Sets Syst. 159 (2008) 193–214. | DOI | MR | Zbl
[45] , Rational design of urban water supply and distribution systems. Water Util. J. 8 (2014) 5–16.
[46] , , and , Reliable design of a closed loop supply chain network under uncertainty: an interval fuzzy possibilistic chance-constrained model. Eng. Optim. 45 (2013) 745–765. | DOI | MR
[47] , , , and , A scenario-based stochastic programming model for water supplies from the highland lakes. Int. Trans. Oper. Res. 7 (2000) 211–230. | DOI
[48] , and , A fuzzy robust optimization model for waste allocation planning under uncertainty. Environ. Eng. Sci. 31 (2014) 556–569. | DOI
[49] and , Pricing and green level decisions of a green supply chain with governmental interventions under fuzzy uncertainties. J. Clean. Prod. 149 (2017) 1174–1187. | DOI
Cité par Sources :
