Open Journal Systems


Gokulananda Patel, Godwin D Mjema, Kasio M Godwin


The Analytic Hierarchy Process (AHP) provides a way to rank the alternatives by deriving priorities. In this paper we used Linear Programming (LP) models to estimate the weights of a pairwise comparison matrix derived within the frame work of the Analytic Hierarchy Process. The priorities obtained for the alternatives served as the coefficients of the objective function of linear programming to optimize a human resource problem at Bakhresa Food Product Limited (BFPL).


AHP, Linear Programming, Resource allocation, Element Dominance, Sensitivity analysis

Full Text:



Bryson N., (1995). A goal programming method for generating priority vectors. Journal of Operational Research Society, 46, 641-648.doi: 10.1057/jors.1995.88

Battistoni, E. et al (2013). Analytic Hierarchy Process for new product development. International Journal of Engineering Business Management, 5(42), 1- 6.doi: 10.5772/56816

Bhatt, R. et al. (2013). Best engineering college selection through analytic hierarchy process: a case study. International Journal of Technology & Engineering Education,10(2),1- 6.

Chandran, B. et al. (2005).Linear programming models for estimating weights in the analytic hierarchy process. Computer& Operation Research, 32, 2235-2254.doi:10.1016/j.cor.2004.02.010

Cheng, E.,& Heng, L. (2001).Analytic hierarchy process: An approach to determine measures for business performance. Measuring Business Excellence, 5(3),30-37.

Cogger, C., & Yu, P. L. (1985). Eigenweight vectors and least distance approximation for revealed preference in pairwise weight ratios. Journal of Optimization Theory and Application,46, 483- 491.doi: 10.1007/BF00939153

Crawford, G., & William, C. (1985).A note on the analysis of subjective judgments matrices.Journal of Mathematical Psychology, 25, 387- 406. doi:10.1016/0022-2496(85)90002-1

Enea, M., & Piazza, T. (2004). Project selection by constrained fuzzy analytic hierarchy process. Fuzzy Optimization and Decision Making, 3, 39-62. doi:10.1023/B:FODM.0000013071.63614.3d

Fisher, C.D., et al. (1992). Human resources management. Boston: Houghton Mifflin Company.

Garg, R., Rahman, Z., Qureshi, M., & Kumar, I. (2012). Identifying and ranking critical success factors of customer experience in banks. An Analytic Hierarchy Process (AHP) approach. Journal of Modeling in Management, 7(2), 201-220.

Hassan, N. et al. (2013). Selection of mobile network operators using Analytic Hierarchy Process. Advances in Natural and Applied Sciences, 7(1), 1- 5.

Mathis, R.L., & Jackson, H.J. (1991).Human resources management. Minneapolis: West Publishing Corp.

Saaty, T. L., (1980). Analytic Hierarchy Process, New York: McGraw-Hill.doi:10.1080/00137918308956077

Saaty, T. L., (1999). Basic theory of the Analytic Hierarchy Process: How to make decision. Revista de la Real Academia Ciencias Exactas Fiscicas y Naturales, 93(4), 395-453.

Saaty, T. L. (2003). Decision making with the AHP: Why the principal eigenvector is important. European Journal of Operational Research, 14, 85-91. doi:10.1016/S0377-2217(02)00227-8

Saaty, T. L., Peniwati, K., & Shang, S. J. (2007).The Analytic Hierarchy Process and the human resource allocation: Half the story. Mathematical and Computer Modeling, 46, 1041-1053.doi:10.1016/j.mcm.2007.03.010

Saaty, T. L., (2008). Decision making with the Analytic Hierarchy Process. International Journal Services Science, 1(1),83-97.doi:

Saaty, T. L., (2013). On the measurement of intangibles. A principal eigenvector approach to relative measurement derived from paired comparisons, Notices of the AMS, 60(2), 192-208.doi:

Sinuary-Stern, Z., Mehrez, A.,& Hadad, Y., (2006).An AHP/DEA methodology for ranking decision making units. International Transactions in Operational Research, 7, 109-124.doi: 10.1111/j.1475-3995.2000.tb00189.x

Shuler, R.S., & Huber,V. L. (1993). Personnel and human resources management. New York: West Publishing Corp.

Srdjevic, B., (2005). Combining different prioritization methods in the analytic hierarchy process synthesis. Computer & Operations Research, 32, 1897-1919. doi:10.1016/j.cor.2003.12.005

Tien-Chin, W., & Ying-Ling, L. (2009).Using a multi-criteria group decision making approach to select merged strategies for commercial banks. Group Decision Negotiations, 18, 519-536. doi:10.1007/s10726-008-9112-3

Vaidya, S., & Kumar, S., (2006).The Analytic Hierarchy Process: An overview of application. European Journal of Operational Research, 169(1), 1-29.doi:10.1016/j.ejor.2004.04.028