Using AHP for resource allocation problems
TL;DR: AHP has been used for solving multi-criteria resource allocation problems by converting them into equivalent single objective, maximization-type LP problems as mentioned in this paper, and at least two approaches can be identified for such applications.
About: This article is published in European Journal of Operational Research.The article was published on 1995-01-19. It has received 125 citations till now. The article focuses on the topics: Preference elicitation & Resource allocation.
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Dissertation•
01 Jan 2014
TL;DR: This research proposed a MADM procedure which able to reduce the number of computational steps and amount of information required from the decision makers when dealing with these two aspects simultaneously.
Abstract: The classical Analytical Hierarchy Process (AHP) has two limitations Firstly, it disregards the aspect of uncertainty that usually embedded in the data or information
expressed by human Secondly, it ignores the aspect of interdependencies among attributes during aggregation The application of fuzzy numbers aids in confronting the former issue whereas, the usage of Choquet Integral operator helps in dealing with the later issue However, the application of fuzzy numbers into multi-attribute decision making (MADM) demands some additional steps and inputs from decision
maker(s) Similarly, identification of monotone measure weights prior to employing Choquet Integral requires huge number of computational steps and amount of inputs from decision makers, especially with the increasing number of attributes Therefore, this research proposed a MADM procedure which able to reduce the number of computational steps and amount of information required from the decision makers
when dealing with these two aspects simultaneously To attain primary goal of this
research, five phases were executed First, the concept of fuzzy set theory and its application in AHP were investigated Second, an analysis on the aggregation operators was conducted Third, the investigation was narrowed on Choquet Integral and its associate monotone measure Subsequently, the proposed procedure was developed with the convergence of five major components namely Factor Analysis,
Fuzzy-Linguistic Estimator, Choquet Integral, Mikhailov‘s Fuzzy AHP, and Simple Weighted Average Finally, the feasibility of the proposed procedure was verified by solving a real MADM problem where the image of three stores located in Sabak Bernam, Selangor, Malaysia was analysed from the homemakers‘ perspective This research has a potential in motivating more decision makers to simultaneously include uncertainties in human‘s data and interdependencies among attributes when
solving any MADM problems
8 citations
Journal Article•
TL;DR: In this paper, a real-life application of AHP is described and a decision supporting method for firm, a company using AHP applications is developed, where the analysis and solution of the application problem are completed using Expert Choice and the most suitable alternative is selected.
Abstract: AHP, developed by Saaty is a multi-criteria decision making method. It creates a hierarchy using the goal, decision criteria and decision alternatives and sorts the various alternatives according to their relative importance. In this study, AHP method is analyzed and a real life application in manufacturing sector is described. AHP is used in an industrial facility manufacturer to make an investment decision. The aim in AHP is to choose the most suitable and important alternative by making an arrangement from the most important to the least. The analysis and solution of the application problem are completed using Expert Choice and the most suitable alternative is selected. Also, at the end of the application, it is concluded that the order related to the alternatives is reliable for the decision markers. Thus, a decision supporting method for firm, a company using AHP applications, is developed.
7 citations
Additional excerpts
...Ramanathen ve Ganesh [15], çok kriterli kaynak dağıtım problemlerinin çözümünde AHP’yi kullanmışlardır....
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...[15] Ramanathen, R. & Ganesh, L.S. (1995)....
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TL;DR: In this paper, the authors used the Fuzzy Multi-Criteria Grade Classification Model to deal with the grade of prioritized execution of transportation construction projects, in this way, the budget will first go to prioritized projects which enjoy the right to the prioritized performance.
Abstract: For a government, one important subject as regards public infrastructure program is how to effectively allocate budget, especially when it is in financial difficulty, in order to put the budget to the best use and maximize the function of the budget. Otherwise, it may generate the problem that some units are faced with excessive budget and hurry to absorb the budget while other units are left in the dilemma of insufficient budget. Therefore, the question of how to allocate budget according to the priority, constitutes an important subject for government. In the budget allocation of transportation construction projects, the first issue is to determine the priority. In this paper, the authors used the Fuzzy Multi-Criteria Grade Classification Model to deal with the grade of prioritized execution of transportation construction projects. In this way, the budget will first go to prioritized projects which enjoy the right to the prioritized performance.
7 citations
Cites methods from "Using AHP for resource allocation p..."
...For the subject on budget allocation, Ramanathan & Ganesh (1995) applied AHP method to resources allocation; Perng. et al. (2005) used Gene Algorithms(GA) to solve the problem of budget allocation of historical buildings; Han. et al. (2005) adopted non-linear programming model to work out the most…...
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TL;DR: In this article, a design concept is proposed for using a combination of two types of decision-making models to determine the design direction of an ATV for carrying patients in harsh terrain or landslides.
Abstract: A design concept is proposed for using a combination of two types of decision-making models to determine the design direction. Based on research processes, it is conducted to solve rescue related issues in harsh terrain or landslides, which can often be attributed to the global climate becoming unstable, increasing the frequency of mudflows and landslides, therefore creating more emergencies of this type. ATV vehicles are advantageous for such disasters. In order to discover the needs for ATV’s carrying abilities, five rescue experts were interviewed and three additional experts participated in the AHP process. A stretcher was determined to be the first priority to be mounted on an ATV. Nine higher score items were selected to create a stretcher mechanism from a questionnaire survey in VOA. ISM recognized the main target, with the intention to solve the safety problems (level 2) and the usability issues (level 3) of the proposed stretcher. Finally, a new stretcher structure was designed with a spinal board to be safe and detachable for conveying patients. The stretcher body can also be folded and hung up for easy transporting and even combined with the trunk pack which contains various breathing assistance equipment.
7 citations
Cites methods from "Using AHP for resource allocation p..."
...In the first approach, the AHP priorities are used as coefficients in the objective function of the LP format, and, in the second approach, the benefit-cost ratios are used as the coefficients [26]....
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01 Jan 2002
TL;DR: A mathematical analysis of DS/AHP is included, constructing the functional form of the preference weightings given to groups of decision alternatives.
Abstract: The analytic hierarchy process (AHP) was developed to aid decision makers to rank or sort information based on a number of criteria. A recent advance is the DS/AHP method which incorporates the Dempster–Shafer theory of evidence with AHP. This method allows judgements on groups of decision alternatives (DA) to be made, it also offers a measure of uncertainty in the final results. In this paper a mathematical analysis of DS/AHP is included, constructing the functional form of the preference weightings given to groups of DA. These functions allow an understanding of the appropriateness of the rating scale values used in the DS/AHP method, through evaluating the range of uncertainty able to be expressed by the decision maker. 2002 Elsevier Science B.V. All rights reserved.
6 citations
Cites background or methods from "Using AHP for resource allocation p..."
...In this paper a mathematical analysis of DS/AHP is included, constructing the functional form of the preference weightings given to groups of DA....
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...When finding the best choice of DA, subject to a number of different criteria, the analytic hierarchy process (AHP) (Saaty, 1977), is a well-known and frequently used method (see Ramanathan and Ganesh, 1995; Frei and Harker, 1999)....
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References
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01 Jan 1985
TL;DR: Analytic Hierarchy Process (AHP) as mentioned in this paper is a systematic procedure for representing the elements of any problem hierarchically, which organizes the basic rationality by breaking down a problem into its smaller constituent parts and then guides decision makers through a series of pairwise comparison judgments to express the relative strength or intensity of impact of the elements in the hierarchy.
Abstract: This chapter provides an overview of Analytic Hierarchy Process (AHP), which is a systematic procedure for representing the elements of any problem hierarchically. It organizes the basic rationality by breaking down a problem into its smaller constituent parts and then guides decision makers through a series of pair-wise comparison judgments to express the relative strength or intensity of impact of the elements in the hierarchy. These judgments are then translated to numbers. The AHP includes procedures and principles used to synthesize the many judgments to derive priorities among criteria and subsequently for alternative solutions. It is useful to note that the numbers thus obtained are ratio scale estimates and correspond to so-called hard numbers. Problem solving is a process of setting priorities in steps. One step decides on the most important elements of a problem, another on how best to repair, replace, test, and evaluate the elements, and another on how to implement the solution and measure performance.
16,547 citations
Book•
01 Jan 1976TL;DR: In this article, a confused decision maker, who wishes to make a reasonable and responsible choice among alternatives, can systematically probe his true feelings in order to make those critically important, vexing trade-offs between incommensurable objectives.
Abstract: Many of the complex problems faced by decision makers involve multiple conflicting objectives. This book describes how a confused decision maker, who wishes to make a reasonable and responsible choice among alternatives, can systematically probe his true feelings in order to make those critically important, vexing trade-offs between incommensurable objectives. The theory is illustrated by many real concrete examples taken from a host of disciplinary settings. The standard approach in decision theory or decision analysis specifies a simplified single objective like monetary return to maximise. By generalising from the single objective case to the multiple objective case, this book considerably widens the range of applicability of decision analysis.
8,895 citations
TL;DR: This paper presents a meta-modelling architecture suitable for multiobjective analysis of the decision-Making process and some of the strategies used in this process have been developed.
Abstract: Keywords: Decision-Making ; multiobjective analysis Reference Record created on 2005-06-20, modified on 2016-08-08
729 citations
TL;DR: In this article, an extension of the Analytic Hierarchy Process (AHP) for priority setting and resource allocation in the industrial R&D environment is explored, and an AHP modeling framework is developed, and is linked to a spreadsheet model to assist in the ranking of a large number of project alternatives.
Abstract: The research and development project selection decision is concerned with the allocation of resources to a set of proposals for scientific and engineering activities. The project selection and resource allocation process can be viewed as a multiple-criteria decision-making problem, within the context of the long-range and strategic planning process of the firm. The purpose of this paper is explore the applicability of an extension of the Analytic Hierarchy Process (AHP) for priority setting and resource allocation in the industrial R&D environment. In this paper, an AHP modeling framework for the R&D project selection decision is developed, and is linked to a spreadsheet model to assist in the ranking of a large number of project alternatives. Next, cost-benefit analysis and integer programming are used to assist in the resource allocation decision. The paper concludes with an evaluation of the suitability of this approach as an expert support system, and directions for future research and testing.
260 citations