Sains Malaysiana 41(3)(2012): 361–366

 

Group Decision via Usage of Analytic Hierarchy Process and Preference

Aggregation Method

(Keputusan Berkumpulan Menggunakan Proses Hierarki Analisis

dan Kaedah Pengagregatan Keutamaan)

 

Langroudi Majid Zerafat Angiz, Adli Mustafa*, Noraida Abdul Ghani &Anton Abdulbasah Kamil

Institut Sains Matematik, Fakulti Sains, Universiti Malaya, 50603 Kuala Lumpur

Malaysia

 

Received: 18 May 2011 / Accepted: 19 September 2011

 

 

ABSTRACT

 

The Analytic Hierarchy Process (AHP) is a recognised modern approach to solve decision making problems. Initially introduced by Saaty in 1971 as a tool for handling individual decision making situation, the method has since been extended to incorporate groups. In this paper, a new method for AHP group decision making is proposed. The method integrates AHP with a Data Envelopment Analysis (DEA)-based preferential aggregation method. It manipulates the preferential weights and ranking aspect of each decision maker in coming up with an optimisation model that determines the best efficiency score of each alternatives. These efficiency scores are then used to rank the alternatives and determine the group decision weights. A comparative analysis of the method with another AHP group decision making method indicates a similar ‘satisfactory index’ level.

 

Keywords: Analytic hierarchy process; data envelopment analysis; group decision making; preference aggregation

 

ABSTRAK

 

Proses Hierarki Analisis (PHA) adalah kaedah moden yang digunakan untuk penyelesaian masalah pembuatan keputusan. Ia diperkenalkan oleh Saaty pada tahun 1971 sebagai alat untuk mengendali situasi membuat keputusan individu. Kaedah itu telahpun dikembangkan untuk mengendalikan situasi membuat keputusan berkumpulan. Dalam kertas ini, satu kaedah baru pembuatan keputusan berkumpulan PHA dicadangkan. Kaedah ini menggabungkan PHA dengan kaedah pengagregatan keutamaan yang berasaskan kepada Analisis Penyampulan Data (APD). Ia menggunakan pemberat keutamaan dan aspek taraf kedudukan setiap pembuat keputusan dalam menghasilkan suatu model pengoptimuman untuk menentukan skor kecekapan terbaik setiap alternatif. Skor kecekapan ini kemudiannya digunakan untuk menaraf kedudukan setiap alternatif dan menentukan pemberat keputusan kumpulan. Satu analisis perbandingan di antara kaedah yang dicadangkan dengan satu kaedah pembuatan keputusan berkumpulan PHA yang lain menghasilkan tahap ’indeks kepuasan’ yang setara.

 

Kata kunci: Analisis penyampulan data; membuat keputusan berkumpulan; pengagregatan keutamaan; proses hierarki Analisis

 

 

REFERENCE

 

Bannerjee, A. 1986. A joint economic lot size model for purchaser and vendor. Decision Sciences 17: 292-311.

Braglia, M. & Zavanella, L. 2003. Modelling an industrial strategy for inventory management in supply chains: the ‘Consignment Stock’ case. International Journal of Production Research 41(16): 3793-3808.

Goyal, S.K. 1977. Determination of optimal production quantity for a two stage production system. Operational Research Quarterly 28: 865-870.

Goyal, S.K. 1988. A joint economic-lot-size model for purchase and vendor : A Comment. Decision Sciences 19(1): 236.

Goyal, S.K. 1995. Short Communication; A one-vendor multibuyer integrated inventory model : A comment. European Journal of Operational Research 82: 209-210.

Hill, R.M. 1999. The optimal production and shipment policy for the single-vendor single buyer integrated production inventory problem. International Journal of Production Research 37(11): 2463-2475.

Hill, R.M. & Omar, M. 2006. Another look at the single-vendor single-buyer integrated production-inventory problem. International Journal of Production Research 44(4): 79-800.

Lu, L. 1995. Theory and Methodology; A one-vendor multi-buyer integrated inventory model. European Journal of Operational Research 81: 312-323.

Omar, M. 2009. An integrated equal-lots policy for shipping a vendor’s final production batch to a single buyer under linearly decreasing demand. Internation Journal of Production Economics 118: 185-188.

Valentinia, G. & Zavanella, L. 2003. The consignment stock of inventories: industrial case and performance analysis. International Journal of Production Economics 81-82: 215-224.

 

 

*Corresponding author; email: suzlin@um.edu.my

 

 

 

 

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