Article: Quantitative modelling of benchmarking process Journal: International Journal of Mathematics in Operational Research (IJMOR) 2010 Vol.2 No.5 pp.614 - 633 Abstract: In this paper, we consider the problem of establishing a quantitative model allowing, given a set of production units (enterprises, plants, banks, university departments, etc.), to determine those units that can be considered as benchmarks in terms of production efficiency and to evaluate for a unit, that is not a benchmark the gap that separates it from the benchmarks. A production unit is considered here as a transformation centre that consumes resources (input items) of different nature (information, human resources, energy, money, etc.) to deliver some products (output items) of different nature as well (manufactured products, services, information, energy, etc.). This benchmarking problem is, therefore, a multicriteria ranking problem that necessitates sensitivity analysis process to determine which items a given unit must improve in order to become as efficient as benchmark unit(s). We propose in this paper to formulate this problem using satisficing games, an evaluation method, that is, based on two measures namely selectability measure (that measures production level) and rejectability measure (that is, related to resources consumption) for each unit or alternative. Units for which the selectability measure exceeds the rejectability one will be considered as satisficing units and the benchmark units are those satisficing units that are not dominated. Inderscience Publishers - linking academia, business and industry through research

Title: Quantitative modelling of benchmarking process

Authors: Ayeley Philippe Tchangani

Addresses: Universite de Toulouse, UPS, IUT de Tarbes, 1, rue Lautreamont, Tarbes Cedex 65016, France; Universite de Toulouse, Laboratoire Genie de Production (LGP), 47 Avenue d'Azereix, BP 1629, Tarbes Cedex 65016, France

Abstract: In this paper, we consider the problem of establishing a quantitative model allowing, given a set of production units (enterprises, plants, banks, university departments, etc.), to determine those units that can be considered as benchmarks in terms of production efficiency and to evaluate for a unit, that is not a benchmark the gap that separates it from the benchmarks. A production unit is considered here as a transformation centre that consumes resources (input items) of different nature (information, human resources, energy, money, etc.) to deliver some products (output items) of different nature as well (manufactured products, services, information, energy, etc.). This benchmarking problem is, therefore, a multicriteria ranking problem that necessitates sensitivity analysis process to determine which items a given unit must improve in order to become as efficient as benchmark unit(s). We propose in this paper to formulate this problem using satisficing games, an evaluation method, that is, based on two measures namely selectability measure (that measures production level) and rejectability measure (that is, related to resources consumption) for each unit or alternative. Units for which the selectability measure exceeds the rejectability one will be considered as satisficing units and the benchmark units are those satisficing units that are not dominated.

Keywords: benchmarking; production units; production efficiency; group decision; multicriteria ranking; satisficing games; analytical hierarchy process; AHP; quantitative modelling; benchmarks; production levels; resource consumption.

DOI: 10.1504/IJMOR.2010.034343

International Journal of Mathematics in Operational Research, 2010 Vol.2 No.5, pp.614 - 633

Published online: 01 Aug 2010 *

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Title: Quantitative modelling of benchmarking process

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