A method of multicriteria evaluation and optimization of hierarchical systems

Voronin, Albert N.

doi:10.1007/s10559-007-0060-8

Cited by 15 publications

(10 citation statements)

References 2 publications

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“…Higher values of a ij indicate stronger preference of alternative A i over A j . The comparison of one pair of alternatives at a time for each decision criterion (instead of a simultaneous comparison involving all alternatives and criteria) reflects the assumption of a decision maker and reveal the preferred alternative by analyzing one object at a time (Voronin, 2007).…”

Section: Methodsmentioning

confidence: 99%

Key indicators for organizational performance measurement

Haddadi¹,

Yaghoobi²

2014

10.5267/j.msl

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Each organization for assessing the amount of utility and desirability of their activities, especially in complex and dynamic environments, requires determining and ranking the vital performance indicators. Indicators provide essential links among strategy, execution and ultimate value creation. The aim of this paper is to develop a framework, which identifies and prioritizes Key Performance Indicators (KPIs) that a company should focus on them to define and measure progress towards organizational objectives. For this purpose, an applied research was conducted in 2013 in an Iranian telecommunication company. We first determined the objectives of the company with respect to four perspectives of BSC (Balanced Scorecard) framework. Next, performance indicators were listed and paired wise comparisons were accomplished by company's high-ranked employees through standard Analytic Hierarchy Process (AHP) questionnaires. This helped us establish the weight of each indicator and to rank them, accordingly.

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Section: Methodsmentioning

confidence: 99%

Key indicators for organizational performance measurement

Haddadi¹,

Yaghoobi²

2014

10.5267/j.msl

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“…If activity i has one of the above numbers assigned to it when compared with activity j, then j has the reciprocal value when compared with i Different studies based on Saaty's AHP theory, such as [9,34], explain that, if an alternative A i is preferable to an alternative A j , then the value of the comparison scale P c A i , A j = a ij indicates the intensity of relative importance of A i over A j , assigned by the decision maker. The scale allows, in a pairwise comparison, the investigator to establish which alternative is better.…”

Section: Reciprocalsmentioning

confidence: 99%

Integrating Analytic Hierarchy Process (AHP) and Balanced Scorecard (BSC) Framework for Sustainable Business in a Software Factory in the Financial Sector

et al. 2017

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Abstract:A balanced scorecard (BSC) framework for a factory that develops software for banking was proposed by us at the end of 2015 to ensure its sustainability, and was focused on improving its productivity and cost. Based on this framework, the aim of this study is to construct an approach using the analytic hierarchy process (AHP) and BSC for evaluating a factory's performance in order for it to become a sustainable business. In this study, AHP is proposed to prioritise and determine weights for the perspectives and indicators included in the BSC for a financial software factory (FSF). The combination of these weights with different indicator measures produces a model that provides an effective assessment tool for FSF managers. The results of the study, which are shown both globally and disaggregated according to the different roles of FSF stakeholders, show that user satisfaction is the main pillar for making decisions. In addition, the result considering roles shows differences according to the relationship of each stakeholder with the software factory. The current study has been validated in a Spanish factory that develops software for several financial entities.

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“…Let us show that functional (8) represents lexicographic order on the set X V in problem (2), i.e., that the solution set of problem (9) is the solution set of problem (2). In fact, according to the rules of definition of the quantities m * * , , M and m * , we obtain…”

Section: Is Called a Chain Of Criteria [1] Ranked According To The Sumentioning

confidence: 99%

“…As a result of their quantitative comparison, i.e., the comparison of their values (estimates), convolutions of these criteria into a unique scalar criterion are obtained. Some methods of construction of such convolutions are considered in [2][3][4]. In comparing criteria on the basis of their relative importance with a view to estimating alternatives, these criteria are convoluted into a unique vector criterion with a vector function of estimates.…”

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confidence: 99%

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Attainability of optimal solutions to a linear problem of multicriterion optimization with respect to the weighed sum of variously important and transitively subordinated criteria

Brila

2008

Cybern Syst Anal

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519.7This paper presents methods of finding criteria coefficients such that optimal solutions are obtained to a linear problem of multicriteria optimization with respect to the weighed sum of variously important and transitively subordinated criteria. The case of a partial transitive subordination is also considered, and a method is founded that finds coefficients such that optimal solutions to the problem of multicriteria optimization are attainable with respect to the weighed sum of variously important and partially transitively subordinated criteria.Keywords: attainability, subordination, chain of criteria, linear lexicographic multicriteria optimization problem.In recent years, there has been an increased interest in the investigation of multicriteria models of continuous and discrete optimization. Different aspects of investigation and construction of methods for solving multicriteria optimization problems are considered In [1-9].Let us consider a linear multicriteria problem with linear criteriaand a set of admissible solutions X R n Ì . Let X V be the set of admissible solutions that are vertices of the set X . If a choice is based on many criteria, the question arises as to the admissible alternative that can be the result of such a choice. Its determination is based on the comparison of the alternatives obtained. The result of this comparison underlies a unique ordering introduced on the set of the alternatives being considered. The criterion that underlies such an ordering is called the criteria convolution [1]. We note that criteria convolutions are usually determined by comparing criteria. As a result of their quantitative comparison, i.e., the comparison of their values (estimates), convolutions of these criteria into a unique scalar criterion are obtained. Some methods of construction of such convolutions are considered in [2][3][4]. In comparing criteria on the basis of their relative importance with a view to estimating alternatives, these criteria are convoluted into a unique vector criterion with a vector function of estimates.If the optimal alternative of a multicriteria optimization problem can be obtained as the optimal solution of the corresponding one-criterion optimization problem with the objective function that is a linear convolution of the criteria of the multicriteria problem, then this optimal alternative is assumed to be attainable with respect to the weighed sum of variously important criteria.A criteria convolution also can be specified in a system of interrelations between criteria that expresses the subordination between the criteria. The system of pair subordination, which is also called a subordination specified over a set of criteria, is widespread. For any two criteria, such a subordination establishes the fact that one of them is subordinated to the other, or they are mutually subordinated, or none of them is subordinated to the other. 745

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A method of multicriteria evaluation and optimization of hierarchical systems

Cited by 15 publications

References 2 publications

Key indicators for organizational performance measurement

Key indicators for organizational performance measurement

Integrating Analytic Hierarchy Process (AHP) and Balanced Scorecard (BSC) Framework for Sustainable Business in a Software Factory in the Financial Sector

Attainability of optimal solutions to a linear problem of multicriterion optimization with respect to the weighed sum of variously important and transitively subordinated criteria

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