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Mathematics in Applied Sciences and Engineering
Article . 2023 . Peer-reviewed
License: CC BY
Data sources: Crossref
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https://dx.doi.org/10.60692/rs...
Other literature type . 2023
Data sources: Datacite
https://dx.doi.org/10.60692/dm...
Other literature type . 2023
Data sources: Datacite
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A Conceptual model of mixed-integer linear programming water distribution system

نموذج مفاهيمي لنظام توزيع المياه بالبرمجة الخطية المختلطة
Authors: Habiba Babangida Awwalu; Nasiru Abdullahi; Muktar Hussaini;

A Conceptual model of mixed-integer linear programming water distribution system

Abstract

Water is a basic part of our daily lives, as such effective water supply is of paramount importance. Thus, as a result of the rise in population size and water shortage there is the need for proper, suitable and optimal utilization of water resources to efficiently be distributed among the populace. The proper allocation and distribution of water in the field of network planning need to be modelled through mathematical parameters for objective of water distribution system. This mathematical approach requires of solving an optimization problem based on multi-objective function subjected to certain constraints of mixed integer linear programming objective function which is proportional to the cost of the water distribution network. This study present a conceptual model of multi-objective optimization proposed for determination of design parameters of water distribution system by considering the significant number of constraints, decision variables, cost and reliability objective functions. The model was proposed to solve the reliability problem of water production and reduce the design and operational costs.

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Keywords

Water Demand, pipe network, Optimal Operation of Water Resources Systems, Evolutionary biology, Water supply, Engineering, Sociology, differential evolution (de), T57-57.97, Applied mathematics. Quantitative methods, Physics, Mathematical optimization, Integer programming, Power (physics), FOS: Sociology, Programming language, Reliability (semiconductor), water distribution system (wds), Function (biology), Physical Sciences, Optimization, pareto fronts, Population, Environmental engineering, Ocean Engineering, Mathematical analysis, Quantum mechanics, Database, Linear programming, FOS: Mathematics, Hydro-Economic Models, Biology, Civil and Structural Engineering, Demography, Distribution (mathematics), Design and Management of Water Distribution Networks, FOS: Environmental engineering, multi-objective functions, Computer science, mixed integer linear programming (milp), Conceptual model, Integer (computer science), Water Distribution Networks, Mathematics

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
gold