Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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ON COST OPTIMIZATION IN THE CONSTRUCTION INDUSTRY: A CASE OF ROAD PROJECT

Authors

  • Harrison O. Amuji
  • Onyinyechi P. Erumaka
  • Chidinma K. Chukwuocha
  • Ibeawuchi I. Echeme
  • Ejem A. Ejem
  • Moses O. Aponjolosun
  • Vivian N. Ikeogu
  • Collins U. Anya
  • Donatus E. Onwuegbuchunam
  • Chilaka E. Nwaimo

Keywords:

posynomial programming model, cost optimization, management decision tool, design variables, construction industry

DOI:

https://doi.org/10.17654/0974165826002

Abstract

In this paper, we develop a posynomial programming cost optimization model for road construction project and other construction works in the construction industry. The developed model was applied on 8.1 km road project with the optimal construction cost of 7,906,041.36 naira. The primal design variables and their contributions to the optimal construction cost were determined. The application of the model in the construction industry is supposed to help the contractors and management on cost optimization and improve efficiency.

Received: August 3, 2025
Accepted: October 1, 2025

References

[1] G. U. Ugwuanyim, H. O. Amuji, O. T. Ebiringa and D. E Onwuegbuchunam, Marketing mix optimization in Nigeria’s brewing industry: A regression and geometric programming approach (Case Study of Nigerian Breweries PLC), Open Journal of Statistics 15 (2025), 170-198.

[2] S. Boyd, S. J. Kim, L. Vandenberghe and A. Hassibi, A tutorial on geometric programming, Optim. Eng. 8 (2007), 67-127.

[3] H. O. Amuji, F. I. Ugwuowo, W. I. E. Chukwu and P. I. Uche, A modified generalised inverse method for solving geometric programming problems with extended degrees of difficulties International Journal of Operational Research 38 (2020), 19-30.

[4] H. O. Amuji, G. U. Ugwuanyim and C. O. Nwosu, A solution to geometric programming problems with negative degrees of difficulty, Advances and Applications in Discrete Mathematics 26 (2021), 221-230.

[5] J. K. Sharma, Operations Research: Theory and Applications, 4th ed., McMillan Publishers, India, 2010.

[6] A. I. Arua, P. E. Chigbu, W. I. E. Chukwu, C. C. Ezekwem and F. C. Okafor, Advanced Statistics for Higher Education, Vol. 1, Academic Publishers, 2000.

[7] R. A. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc. 51 (1955), 406-413.

[8] H. O. Amuji, F. I. Ugwuowo, C. C. Nwachi, B. N. Okechukwu and I. O. Okeoma, On exact optimal solution to geometric programming problems, Advances and Applications in Discrete Mathematics 41 (2024), 429-439.

[9] R. J. McNamara, A solution procedure for geometric programming, Operations Research 24(1) (1976), 15-25.

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Published

2025-11-03

Issue

Vol. 43 No. 1 (2026)

Section

Articles

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Copyright (c) 2025 PUSHPA PUBLISHING HOUSE, PRAYAGRAJ, INDIA

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How to Cite

ON COST OPTIMIZATION IN THE CONSTRUCTION INDUSTRY: A CASE OF ROAD PROJECT. (2025). Advances and Applications in Discrete Mathematics, 43(1), 21-32. https://doi.org/10.17654/0974165826002

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