机场安检评价指标

1、The analytic hierarchy process (AHP is a structured technique for organizing and analyzing complex decisions, based on mathematics and psychology. Rather than prescribing a correct decision, the AHP helps decision makers find one that best suits their goal and their understanding of the problem. It

2、provides a comprehensive and rational framework for structuring a decision problem, for representing and quantifying its elements, for relating those elements to overall goals, and for evaluating alternative solutions.The procedure for using the AHP can be summarized as:1. Model the problem as a hie

3、rarchy 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 pur

4、chases of commercial real estate, 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 price and timing for properties A, B, C, and D into o

5、verall priorities for each property.4. Check the consistency of the judgments.5. Come to a final decision based on the results of this process.These steps are more fully described below. Model the problem:Symbol table:Average wait timeTVariance of waiting timeVNumber of security linesNAverage wait t

6、ime for PreCheckT1Average wait time for ID CheckT2Average wait time for Baggage and Body ScreeningT3Average service timeT4Variance of wait time for PreCheckV1Variance of wait time for ID CheckV2Variance of wait time for Baggage and Body ScreeningV3Variance of service timeV4 Establish priorities amon

7、g the elements of the hierarchy:Priority queue:T N VT1 T2 T3 T4V1 V2 V3 V4 Synthesize these judgments to yield a set of overall priorities for the hierarchy:MTVNT173V1/711/3N1/331AT1T2T3T4T11359T21/3126T31/51/214T41/91/61/41BV1V2V3V4V11359V21/3126V31/51/214V41/91/61/41Priorities are numbers associat

8、ed with the nodes of an AHP hierarchy. They represent the relative weights of the nodes in any group. Matrix M explains the weight of T, V, N for Z. And matrix A, B is similar to M. Check the consistency of the judgments.a Supposing the greatest eigenvalue of M is , and the sum of all eigenvalue is

9、n. The coincidence indicator is:b Random consistency indexes:n1234567891011RI000.580.901.121.241.321.411.451.491.51c Consistency ratio: , (Qualified when CR is less than 0.1, otherwise you need to adjust the pairwise comparison until it can pass the consistency check.d Normalized the characteristic

10、root of to get the weight vector of the first level.e As same as M, check the consistency of A, B and get their weight vectors.f Create a new matrix C and a new weight vector W with these three weight vectors. Like matrix M, C explains the relative weight of T1-T4, V1-V4 and N for Z. And the vector

11、W is the total weight vector of the model.g The total weight vector of the model:W = (0.3905, 0.1590, 0.0899, 0.0301, 0.0513, 0.0209, 0.0118, 0.0039, 0.2426 Come to a final decision based on the results of this process.h To make decision between two choices X, Y, we should normalize those nine attributes of A, B: T1-T4, V1-V4 and N. i Calc