The Use of the Duality Principle to Solve Optimization Problems

Authors

  • Rowland Jerry Okechukwu Ekeocha Covenant University.
  • Chukwunedum Uzor Covenant University
  • Clement Anetor Covenant University.

DOI:

https://doi.org/10.3991/ijes.v6i1.8224

Abstract


The duality principle provides that optimization problems may be viewed from either of two perspectives, the primal problem or the dual problem. The solution to the dual problem provides a lower bound to the solution of the primal (minimization) problem. However the optimal values of the primal and dual problems need not be equal. Their difference is called the duality gap. For convex optimization problems, the duality gap is zero under a constraint qualification condition.  In other words given any linear program, there is another related linear program called the dual. In this paper, an understanding of the dual linear program will be developed. This understanding will give important insights into the algorithm and solution of optimization problem in linear programming.  Thus the main concepts of duality will be explored by the solution of simple optimization problem.

Author Biographies

Rowland Jerry Okechukwu Ekeocha, Covenant University.

Retired diretorate staff of the Federal civil service. Fellow of the Nigerian Society of Engineers (FNSE).Currently a senior lecturer at the department of mechanical engineering, Covenant University.

Chukwunedum Uzor, Covenant University

Postgraduate(PG) Student,

Mechanical Engineering Department.

Clement Anetor, Covenant University.

Mechanical Engineering Department,

PG Student

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Published

2018-03-19

How to Cite

Ekeocha, R. J. . O., Uzor, C., & Anetor, C. (2018). The Use of the Duality Principle to Solve Optimization Problems. International Journal of Recent Contributions from Engineering, Science & IT (iJES), 6(1), pp. 33–42. https://doi.org/10.3991/ijes.v6i1.8224

Issue

Vol. 6 No. 1 (2018)

Section

Papers

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