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层次分析法---文献翻译

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2021-02-08 12:46
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2021年2月8日发(作者:重聚)



层次分析法


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层次分析法



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Analytic Hierarchy Process


The Analytic Hierarchy Process (AHP) is a structured technique for


helping


people deal with complex decisions. Rather than prescribing a



their needs and wants. Based on mathematics and psychology, it was


developed by Thomas L. Saaty in the 1970s and has been extensively


studied and refined since then. The AHP provides a comprehensive and


rational framework for structuring a problem, for representing and


quantifying its elements, for relating those elements to overall goals,


and for evaluating alternative solutions. It is used throughout the


world in a wide variety of decision situations, in fields such as


government, business, industry, healthcare, and education.


Several firms supply computer software to assist in using the


process.


Users of the AHP first decompose their decision problem into a


hierarchy of more easily comprehended sub-problems, each of which can be


analyzed independently. The elements of the hierarchy can relate to any




aspect of the decision problem



tangible or intangible, carefully


measured or roughly estimated, well- or poorly- understood



anything at


all that applies to the decision at hand.


Once the hierarchy is built, the decision makers systematically


evaluate its various elements, comparing them to one another in pairs.


In making the comparisons, the decision makers can use concrete data


about the elements, or they can use their judgments about the elements'


relative meaning and importance. It is the essence of the AHP that human


judgments, and not just the underlying information, can be used in


performing the evaluations.


The AHP converts these evaluations to numerical values that can be


processed and compared over the entire range of the problem. A numerical


weight or priority is derived for each element of the hierarchy,


allowing diverse and often incommensurable elements to be compared to


one another in a rational and consistent way. This capability


distinguishes the AHP from other decision making techniques.


In the final step of the process, numerical priorities are derived


for each of the decision alternatives. Since these numbers represent the


alternatives' relative ability to achieve the decision goal, they allow


a straightforward consideration of the various courses of action.


Uses and applications


While it can be used by individuals working on straightforward


decisions, Analytic Hierarchy Process (AHP) is most useful where teams




of people are working on complex problems, especially those with high


stakes, involving human perceptions


and judgments, whose resolutions have long-term repercussions. It


has unique advantages where important elements of the decision are


difficult to quantify or compare, or where communication among team


members is impeded by their different specializations, terminologies, or


perspectives.


Decision situations to which the AHP can be applied include:


, Choice - The selection of one alternative from a given set of


alternatives,


usually where there are multiple decision criteria involved.


, Ranking - Putting a set of alternatives in order from most to


least


desirable Prioritization - Determining the relative merit of a set


of


alternatives, as opposed to selecting a single one or merely ranking


them


, Resource allocation - Apportioning resources among a set of


alternatives


, Benchmarking - Comparing the processes in one's own organization


with


those of other best-of-breed organizations


, Qualitymanagement - Dealing with the multidimensional aspects of


quality and quality improvement




The applications of AHP to complex decision situations have numbered


in the thousands, and have produced extensive results in problems


involving planning, Resource allocation, priority setting, and selection


among alternatives. Other areas have included forecasting, toreotal


quality management, business process re-engineering ,quality function


deployment



and the Balanced


AHP applications are never reported to the world at large, because


they take place at high levels of large organizations where security and


privacy considerations prohibit their disclosure. But some uses of AHP


are discussed in the literature. Recently these


have included:


, Deciding how best to reduce the impact of global climate change


(Fondazione Eni Enrico Mattei)


, Quantifying the overall quality of software system(Microsoft


corporation)


, Selecting university faculty(Bloomsburg University of Pennsy)


, Deciding where to locate offshore manufacturing plants(University


of


Cambridge)


, Assessing risk in operating cross-country prtroleum


pipelines(American


Society of Civil Engineers)


, Deciding how best to manage U.S. watersheds(U.S. Department of


Agriculture)




AHP is sometimes used in designing highly specific procedures for


particular situations, such as the rating of buildings by historic


significance. It was recently applied to a project that uses video


footage to assess the condition of highways in


Virginia. Highway engineers first used it to determine the optimum


scope of the project, then to justify its budget to lawmakers.


AHP is widely used in countries around the world. At a recent


international conference on AHP, over 90 papers were presented from 19


countries, including the U.S., Germany, Japan, Chile , Malaysia,


andNepal. Topics covered ranged from Establishing Payment Standards for


Surgical Specialists, to Strategic Technology


Roadmapping, to Infrastructure Reconstruction in Devastated


Countries. AHP was


introduced in China in 1982, and its use in that country has


expanded greatly since then



its methods are highly compatible with the


traditional Chinese decision making framework, and it has been used for


many decisions in the fields

ofeconomics,energy,management,environment,traffi c,agriculture,


industry, and the military.


Though using AHP requires no specialized academic trainning, the


subject is widely taught at the university level



one AHP software


provider lists over a hundred


colleges and universities among its clients. AHP is considered an


important subject in many institutions of higher learning, including




schools of engineering and Graduate school of Business . AHP is also an


important subject in the quality field, and is taught in many


specialized courses including Six Sigma, Lean Six Sigma, and QFD.


In China, nearly a hundred schools offer courses in AHP, and many


doctoral students choose AHP as the subject of their research and


dissertations. Over 900 papers have been published on the subject in


that country, and there is at least one Chinese scholarly journal


devoted exclusively to AHP.


Implementation


As can be seen in the examples that follow, using the AHP involves


the mathematical synthesis of numerous judgments about the decision


problem at hand. It is not uncommon for these judgments to number in the


dozens or even the hundreds. While the math can be done by hand or with


a calculator, it is far more common to use one of several computerized


methods for entering and synthesizing the judgments. The simplest of


these involve standard spreadsheet software, while the most complex use


custom software, often augmented by special devices for acquiring the


judgments


of decision makers gathered in a meeting room.


Steps in using the process


The procedure for using the AHP can be summarized as:


1. Model the problem as a hierarchy containing the decision goal,


the alternatives


for reaching it, and the criteria for evaluating the alternatives.




2. Establish priorities among the elements of the hierarchy by


making a series of


judgments based on pairwise comparisons of the elements. For example,


when


comparing potential real-estate purchases, the investors might say


they prefer


location over price and price over timing.


3. Synthesize these judgments to yield a set of overall priorities


for the hierarchy.


This would combine the investors' judgments about location, price


and timing


for properties A, B, C, and D into overall priorities for each


property.


4. Check the consistency of the judgments.


5. Come to a final decision based on the results of this process.


Criticisms


The AHP is now included in most operations research and management


science textbooks, and is taught in numerous universities; it is used


extensively in organizations that have carefully investigated its


theoretical underpinnings. While the general consensus is that it is


both technically valid and practically useful, the method does have its


critics.




In the early 1990s a series of debates between critics and


proponents of AHP was published in Management Science and The Journal of


the Operational Research


Society. These debates seem to have been settled in favor of AHP.


Occasional criticisms still appear. A 1997 paper examined possible


flaws in the verbal (vs. numerical) scale often used in AHP pairwise


comparisons. Another from the same year claimed that innocuous changes


to the AHP model can introduce order where no order exists. A 2006 paper


found that the addition of criteria for which all alternatives perform


equally can alter the priorities of alternatives. An in- depth paper


discussing the academic criticisms of AHP was published in Operations


Research in


2001.


Most of the criticisms involve a phenomenon called rank reversal,


discussed in


the following section.


Rank reversal


Many people hear about rank reversal and assume that there is some


sort of proven principle about it that needs to be upheld in making


decisions. That assumption has led to much misunderstanding of AHP and


other decision making techniques. In actuality, rank reversal is a


complex matter about which there are many conflicting ideas and opinions.


This section offers a simplified explanation of the situation.


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