P. R. Bhave, Node flow analysis distribution systems, Transportation Engineering Journal, vol.107, issue.4, pp.457-467, 1981.

C. Ciaponi, L. Franchioli, E. Murari, and S. Papiri, Procedure for defining a pressure-outflow relationship regarding indoor demands in pressure-driven analysis of water distribution networks, Water Resour. Manage, vol.29, pp.817-832, 2015.

J. Cramer, Logit Models From Economics and Other Fields, 2003.

J. W. Deuerlein, On the hydraulic system analysis of water supply networks, 2002.

S. Elhay, O. Piller, J. W. Deuerlein, and A. R. Simpson, A robust, rapidly convergent method that solves the water distribution equations for pressure dependent models, J. Water Resour. Plann. Manage, vol.142, issue.2, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01286196

O. Fujiwara and T. Ganesharajah, Reliability assessment of water supply systems with storage and distribution networks, Water Resour. Res, vol.29, issue.8, pp.2917-2924, 1993.

G. Germanopoulos, A technical note on the inclusion of pressure dependent demand and leakage terms in water supply network models, Civ. Eng. Syst, vol.2, issue.3, pp.171-179, 1985.

W. Gilchrist, Statistical Modelling with Quantile Functions, 2000.

O. Giustolisi, D. Savic, and Z. Kapelan, Pressure-driven demand and leakage simulation for water distribution networks, J. Hydraul. Eng, vol.134, issue.5, pp.626-635, 2008.

A. Goldstein, Constructive Real Analysis, 1967.

R. Gupta and P. Bhave, Comparison of methods for predicting deficient network performance, Water Resour. Manage, vol.122, issue.3, pp.214-217, 1996.

W. Hager and H. Zhang, A new active set method for box constrained optimization, SIAM J. Optim, vol.17, issue.2, pp.526-557, 2006.

E. Isaacson and H. Keller, Analysis of numerical methods, 1966.

L. Jun and Y. Guoping, Iterative methodology of pressure-dependent demand based on EPANET for pressure-deficient water distribution analysis, J. Water Resour. Plann. Manage, vol.139, issue.1, 2013.

I. Lippai and L. Wright, Demand constructs for risk analysis, 16th Water Distribution System Analysis Conference, WDSA2014 Urban Water Hydroinformatics and Strategic Planning, vol.89, pp.640-647, 2014.

H. Mahmoud, D. Savic, and Z. Kapelan, New pressure-driven approach for modeling water distribution networks, J. Water. Resour. Plann. Manage, vol.143, issue.8, 2017.

T. Mathworks, MATLAB version 9, 2016.

O. Piller, B. Bremond, and M. Poulton, Least action principles appropriate to pressure driven models of pipe networks, in 'World Water & Environmental Resources Congress, pp.1-15, 2003.

O. Piller, S. Elhay, J. W. Deuerlein, and A. R. Simpson, Why are line search methods needed for hysdraulic ddm and pdm solvers, 2017.

O. Piller and J. Van-zyl, A unified framework for pressure driven network analysis, Proc. of Computer and Control in Water Industry, Water Management Challenges in Global Changes, Supplementary Proceedings, pp.25-30, 2007.

. Resiwater, Resiwater: Innovative secure sensor networks and model-based assessment tools for increased resilience of water infrastructures, 2018.

L. Rossman, EPANET 2 Users Manual, Water Supply and Water Resources Division, p.45268, 2000.

A. Shirzad, M. Tabesh, R. Farmani, and M. Mohammadi, Pressure-discharge relations with application in head driven simulation of water distribution networks, J. Water. Resour. Plann. Manage, vol.139, issue.6, 2013.

C. Siew and T. Tanyimboh, Pressure-dependent EPANET extension, Water Resour Manage, vol.26, 2012.

T. Tanyimboh and A. Templeman, A new nodal outflow function for water distribution networks, Proceedings of the Fourth International Conference on Engineering Computational Technology, 2004.

E. Todini and L. Rossman, Unified framework for deriving simultaneous equation algorithms for water distribution networks, J. Hydraul. Eng, vol.139, issue.5, pp.511-526, 2013.

J. Wagner, U. Shamir, and D. Marks, Water distribution reliability: simulation methods, J. Water Resour. Plann. Manage, vol.114, issue.3, 1988.