The Analytic Hierarchy Process (AHP) is a multi-criteria decision making method developed by Saaty in 1980. AHP breaks down decisions into a hierarchy of criteria and alternatives, assigns weights to criteria based on pairwise comparisons, and synthesizes weights to rank alternatives. Consistency is ensured through a consistency ratio below 10%. The document provides an example of using AHP to rank car alternatives based on style, reliability, and fuel economy criteria. Mazda 3 receives the highest overall priority based on the weights and ratings.
The document describes the Analytic Hierarchy Process (AHP), which is a structured technique for organizing and analyzing complex decisions. AHP involves constructing a hierarchy of criteria and alternatives, then making pairwise comparisons between elements to determine their relative importance. These comparisons are used to calculate weights for criteria and priorities for alternatives. The document provides an example of using AHP to select a car based on style, reliability, and fuel economy criteria. It also outlines the steps to determine criteria weights, alternative priorities, and consistency ratios in AHP.
Experience Mazda Zoom Zoom Lifestyle and Culture by Visiting and joining the Official Mazda Community at http://www.MazdaCommunity.org for additional insight into the Zoom Zoom Lifestyle and special offers for Mazda Community Members. If you live in Arizona, check out CardinaleWay Mazda's eCommerce website at http://www.Cardinale-Way-Mazda.com
The document discusses multiple criteria decision making (MCDM) approaches. It introduces several common MCDM methods: the weighted score method, TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) method, and Analytic Hierarchy Process (AHP). It then provides a detailed example of how to apply the weighted score method and TOPSIS method to a problem of selecting the best car based on criteria like style, reliability, fuel economy, and cost.
Multi criteria decision support system on mobile phone selection with ahp and...Reza Ramezani
This document proposes using multi-criteria decision making (MCDM) approaches, specifically the Analytic Hierarchy Process (AHP) and Technique for Order Preference by Similarity to Ideal Solution (TOPSIS), to help users select a mobile phone. It outlines the evaluation process, which involves identifying important mobile phone selection criteria, calculating criteria weights using AHP, and then using TOPSIS to rank mobile phone alternatives based on how close they are to an ideal solution and how far they are from a negative ideal solution. The document provides examples of building pairwise comparison matrices in AHP and calculating ideal and non-ideal solutions and alternative distances in TOPSIS to demonstrate the selection approach.
This document discusses various multi-criteria decision making (MCDM) methods. It describes the objectives and steps in MCDM methodology. Three MCDM methods are explained in detail: Compromise Programming (CP), Preference Ranking Organisation METHod of Enrichment Evaluation (PROMETHEE), and the Weighted Average Method. An example is provided to illustrate the application of each method.
Project describes the use of Analytic hierarchy process (AHP) by taking bollywood songs of different era and finding the best song out of the listed options based on different parameters.
Implementation of Decision Support System for various purposes now can facilitate policy makers to get the best alternative from a variety of predefined criteria, one of the methods used in the implementation of Decision Support System is VIKOR (Vise Kriterijumska Optimizacija I Kompromisno Resenje), VIKOR method in this research got the best results with an efficient and easily understood process computationally, it is expected that the results of this study facilitate various parties to develop a model any solutions.
The document describes the Analytic Hierarchy Process (AHP), which is a structured technique for organizing and analyzing complex decisions. AHP involves constructing a hierarchy of criteria and alternatives, then making pairwise comparisons between elements to determine their relative importance. These comparisons are used to calculate weights for criteria and priorities for alternatives. The document provides an example of using AHP to select a car based on style, reliability, and fuel economy criteria. It also outlines the steps to determine criteria weights, alternative priorities, and consistency ratios in AHP.
Experience Mazda Zoom Zoom Lifestyle and Culture by Visiting and joining the Official Mazda Community at http://www.MazdaCommunity.org for additional insight into the Zoom Zoom Lifestyle and special offers for Mazda Community Members. If you live in Arizona, check out CardinaleWay Mazda's eCommerce website at http://www.Cardinale-Way-Mazda.com
The document discusses multiple criteria decision making (MCDM) approaches. It introduces several common MCDM methods: the weighted score method, TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) method, and Analytic Hierarchy Process (AHP). It then provides a detailed example of how to apply the weighted score method and TOPSIS method to a problem of selecting the best car based on criteria like style, reliability, fuel economy, and cost.
Multi criteria decision support system on mobile phone selection with ahp and...Reza Ramezani
This document proposes using multi-criteria decision making (MCDM) approaches, specifically the Analytic Hierarchy Process (AHP) and Technique for Order Preference by Similarity to Ideal Solution (TOPSIS), to help users select a mobile phone. It outlines the evaluation process, which involves identifying important mobile phone selection criteria, calculating criteria weights using AHP, and then using TOPSIS to rank mobile phone alternatives based on how close they are to an ideal solution and how far they are from a negative ideal solution. The document provides examples of building pairwise comparison matrices in AHP and calculating ideal and non-ideal solutions and alternative distances in TOPSIS to demonstrate the selection approach.
This document discusses various multi-criteria decision making (MCDM) methods. It describes the objectives and steps in MCDM methodology. Three MCDM methods are explained in detail: Compromise Programming (CP), Preference Ranking Organisation METHod of Enrichment Evaluation (PROMETHEE), and the Weighted Average Method. An example is provided to illustrate the application of each method.
Project describes the use of Analytic hierarchy process (AHP) by taking bollywood songs of different era and finding the best song out of the listed options based on different parameters.
Implementation of Decision Support System for various purposes now can facilitate policy makers to get the best alternative from a variety of predefined criteria, one of the methods used in the implementation of Decision Support System is VIKOR (Vise Kriterijumska Optimizacija I Kompromisno Resenje), VIKOR method in this research got the best results with an efficient and easily understood process computationally, it is expected that the results of this study facilitate various parties to develop a model any solutions.
Using the Analytic Hierarchy Process (AHP) to Select and Prioritize Project...Ricardo Viana Vargas
The objective of this paper is to present, discuss and apply the principles and techniques of the Analytic Hierarchy Process (AHP) in the prioritization and selection of projects in a portfolio. AHP is one of the main mathematical models currently available to support the decision theory.
20060411 Analytic Hierarchy Process (AHP)Will Shen
The Analytic Hierarchy Process (AHP) is a decision-making tool that breaks down complex decisions into a series of pairwise comparisons. It allows decision makers to incorporate both qualitative and quantitative factors. The AHP works by:
1) Computing weights for each decision criterion through pairwise comparisons.
2) Scoring alternatives based on each criterion.
3) Multiplying the weights and scores to obtain overall scores for each alternative.
4) Ranking the alternatives based on their overall scores. Consistency is also checked to ensure reliable results. An example is provided to illustrate the AHP process.
The document discusses the Analytic Hierarchy Process (AHP), a multi-criteria decision analysis technique developed by Thomas Saaty. It can be used to help decision makers address complex decisions with multiple criteria. The AHP breaks down a decision into a hierarchy, with the overall goal at the top and criteria and alternatives below. Pairwise comparisons are used to assign weights to criteria and scores to alternatives to determine overall priority. The process involves structuring the problem, setting criteria priorities through pairwise comparisons, scoring alternatives on each criterion, and calculating overall scores to rank alternatives. It has been widely applied in fields like manufacturing, technology, and public policy decisions.
The document provides an overview of the Analytic Hierarchy Process (AHP), a decision-making tool developed by Thomas Saaty in the 1970s. It discusses the background, development, methodology, applications, advantages, and disadvantages of AHP. Examples of organizations that use AHP for decision making are also given, along with a case study on how AHP was used to evaluate candidates for an entrepreneur award in Terengganu, Malaysia.
The document describes the Analytic Hierarchy Process (AHP), a technique for structuring complex decisions. It involves breaking the decision down into a hierarchy, then using pairwise comparisons to determine the relative importance of criteria and alternatives. The example provided illustrates Judy Grim using AHP to choose a new computer system. She identifies hardware, software, and vendor support as criteria. Alternatives are three computer systems. Pairwise comparisons assign weights to criteria and ratings to alternatives on each criterion. The highest rated alternative is selected.
This document discusses the Analytic Hierarchy Process (AHP), a multi-criteria decision making technique. AHP allows decisions to be made by structuring multiple criteria into a hierarchy. It involves pairwise comparisons of criteria and alternatives to obtain their relative priorities. Judgments are made using a fundamental scale and priorities are derived from the principal eigenvector of the comparison matrix. Consistency of judgments is ensured by calculating a consistency ratio. The AHP provides a systematic process to integrate both subjective and objective evaluations to help decision makers select the best alternative.
Decision Making Using The Analytic Hierarchy ProcessVaibhav Gaikwad
Analytic Hierarchy Process (AHP) is an
effective tool for dealing with complex decision making,
and may aid the decision maker to set priorities and
make the best decision. By reducing complex decisions
to a series of pairwise comparisons, and then
synthesizing the results, the AHP helps to capture both
subjective and objective aspects of a decision. In
addition, the AHP incorporates a useful technique for
checking the consistency of the decision maker’s
evaluations, thus reducing the bias in the decision
making process. In this paper we give special emphasis
to departure from consistency and its measurement and
to the use of absolute and relative measurement,
providing examples and justification for rank
preservation and reversal in relative measurement.
The Analytical Hierarchy Process (AHP) is a decision-making tool that breaks down a complex problem into a hierarchical structure. It decomposes the overall goal into criteria and sub-criteria, and provides a scale from 1 to 9 to assess the relative importance of each element against others. Alternatives are evaluated against each criteria and weighted according to the importance of the criteria to arrive at an overall ranking for each alternative.
The Analytic Hierarchy Process (AHP) and Analytic Network Process (ANP) are techniques for multi-criteria decision making. AHP structures decisions as a hierarchy, while ANP structures them as a network to account for interdependencies. Both use pairwise comparisons to measure weights and rank alternatives. The four major steps of ANP are: 1) model construction, 2) pairwise comparison matrices to derive local priorities, 3) supermatrix formation to obtain global priorities, and 4) selection of the best alternative based on overall priorities. The document then provides an example case study of applying ANP to analyze strengths, weaknesses, opportunities, and threats for an insurance company in Iran.
Selection of retail store in kingdom of saudi arabia using analytic hierarchy...IAEME Publication
This document summarizes a study that used the Analytic Hierarchy Process (AHP) to determine criteria for selecting retail stores in Saudi Arabia. 350 customers ranked 22 criteria for importance. The top 9 criteria were used to compare 3 retail stores (A1, A2, A3) in the Aseer region. Pairwise comparisons and weighting determined cleanliness, fruit/vegetable quality, and discounts were most important. AHP analysis showed store A2 best met customer preferences based on the prioritized criteria.
USING THE ANALYTIC HIERARCHY PROCESS AND GIS FOR DECISION MAKING IN RURAL HIG...IAEME Publication
Rural highway route location is a very complex case, requiring significant time and effort from the planners. This study presented the route location method by applying Analytic Hierarchy Process (AHP) and Geographical Information System (GIS). The location of the study is confined to south Mosul city in Iraq of the area (198km2). The researcher is behind defining the route which connects Baghdad-Mosul and Mosul-Kirkuk roadways. This route is considered the suggested turn to Mosul city. A variety of data set from different sources and at different scales are managed.
Analytical hierarchy process for design selection of micro hot marking tool (...Nik Faris
- The document describes a study that used the Analytical Hierarchy Process (AHP) to select the best conceptual design for a Micro Hot-Marking Tool (HMT) out of four alternatives.
- AHP involved constructing a hierarchy of criteria and sub-criteria, performing pairwise comparisons, and calculating priority vectors to determine that Concept 2 had the highest score and was the best design concept.
- The consistency ratio was less than 0.1, validating the AHP analysis and confirming that Concept 2 should be selected for the next design stage of developing the HMT.
Requirements analytic hierarchy processAbdul Basit
This document describes the Analytic Hierarchy Process (AHP), a framework for multi-criteria decision making. AHP breaks down a decision problem into a hierarchy of criteria and alternatives. It uses pairwise comparisons to determine the relative importance of criteria and to rank alternatives. Both qualitative and quantitative information can be incorporated through informed judgments to derive weights and priorities. An example of using AHP to select a car based on style, reliability, and fuel economy is provided to illustrate the process.
A Multicriteria Model for Strategic Implementation of Business Process Manage...CONFENIS 2012
Ana Carolina Scanavachi Moreira Campos, Ana Paula Costa, Adiel Almeida, Daniela Calabria, A Multicriteria Model for Strategic Implementation of Business Process Management
AHP Practice Educator Training Glasgow January 2014Heather Gray
This presentation is both for AHPs who have never supervised a student and experienced AHPs who feel they need update training.
At the end of this training event you will be able to:
Appraise the role and attributes of the practice educator and student, within a multidisciplinary environment;
Evaluate theories, appropriate to adult and professional learners;
Plan, implement and facilitate learning within the practice setting;
Apply sound principles and judgement in the assessment of student performance;
Evaluate and reflect upon the learning experience.
The Analytic Hierarchy Process (AHP) is a technique for analyzing complex decisions using mathematics and psychology. It involves pairwise comparisons of decision factors on a scale to determine their relative importance. As an example, AHP is used to determine the priority weights of cost, brand, and features for a customer choosing a smartphone. Based on the customer's pairwise comparisons, cost is found to be the most important factor at 55.8%, followed by features at 28.3% and brand at 15.9%. AHP can similarly be applied to determine the priority of factors for any complex decision making problem.
Analytical Hierarchy Process applied to maintenance strategy selection for of...Nnaemeka Nwogbe
The aim of this research was to integrate the Analytical Hierarchy Process (AHP), to select the most appropriate maintenance strategy for a challenging environment faced by offshore platforms. Whilst providing new insight into the capability of the AHP methodology. This aim has been accomplished utilizing interview response from shell Maintenance and Inspection supervisors and two case studies based on: Petronas and Analysis of the failure of an offshore compressor crankshaft.
As a result from this research, the maintenance strategy based on information obtained was produced using the AHP multi criteria decision weighing methodology as implemented on a compressor in a corrosive environment.
This document provides a tutorial for using the SuperDecisions software to build decision models using the Analytic Hierarchy Process (AHP) or Analytic Network Process (ANP). It explains the basic concepts of clusters and elements, and how to create a hierarchical model by defining the goal, criteria and alternative clusters, adding elements to each cluster, and connecting the elements. The tutorial also provides an overview of performing pairwise comparisons to obtain priority weights in the decision models. The overall purpose is to demonstrate how to use the SuperDecisions software to structurally model decisions and obtain results using AHP or ANP.
This document discusses using the Branch and Bound technique to solve the traveling salesman problem and water jug problem. Branch and Bound is a method for solving discrete and combinatorial optimization problems by breaking the problem into smaller subsets, calculating bounds on the objective function, and discarding subsets that cannot produce better solutions than the best found so far. The document provides examples of applying Branch and Bound to find the optimal path between states for the water jug problem and the shortest route between cities for the traveling salesman problem.
Using the Analytic Hierarchy Process (AHP) to Select and Prioritize Project...Ricardo Viana Vargas
The objective of this paper is to present, discuss and apply the principles and techniques of the Analytic Hierarchy Process (AHP) in the prioritization and selection of projects in a portfolio. AHP is one of the main mathematical models currently available to support the decision theory.
20060411 Analytic Hierarchy Process (AHP)Will Shen
The Analytic Hierarchy Process (AHP) is a decision-making tool that breaks down complex decisions into a series of pairwise comparisons. It allows decision makers to incorporate both qualitative and quantitative factors. The AHP works by:
1) Computing weights for each decision criterion through pairwise comparisons.
2) Scoring alternatives based on each criterion.
3) Multiplying the weights and scores to obtain overall scores for each alternative.
4) Ranking the alternatives based on their overall scores. Consistency is also checked to ensure reliable results. An example is provided to illustrate the AHP process.
The document discusses the Analytic Hierarchy Process (AHP), a multi-criteria decision analysis technique developed by Thomas Saaty. It can be used to help decision makers address complex decisions with multiple criteria. The AHP breaks down a decision into a hierarchy, with the overall goal at the top and criteria and alternatives below. Pairwise comparisons are used to assign weights to criteria and scores to alternatives to determine overall priority. The process involves structuring the problem, setting criteria priorities through pairwise comparisons, scoring alternatives on each criterion, and calculating overall scores to rank alternatives. It has been widely applied in fields like manufacturing, technology, and public policy decisions.
The document provides an overview of the Analytic Hierarchy Process (AHP), a decision-making tool developed by Thomas Saaty in the 1970s. It discusses the background, development, methodology, applications, advantages, and disadvantages of AHP. Examples of organizations that use AHP for decision making are also given, along with a case study on how AHP was used to evaluate candidates for an entrepreneur award in Terengganu, Malaysia.
The document describes the Analytic Hierarchy Process (AHP), a technique for structuring complex decisions. It involves breaking the decision down into a hierarchy, then using pairwise comparisons to determine the relative importance of criteria and alternatives. The example provided illustrates Judy Grim using AHP to choose a new computer system. She identifies hardware, software, and vendor support as criteria. Alternatives are three computer systems. Pairwise comparisons assign weights to criteria and ratings to alternatives on each criterion. The highest rated alternative is selected.
This document discusses the Analytic Hierarchy Process (AHP), a multi-criteria decision making technique. AHP allows decisions to be made by structuring multiple criteria into a hierarchy. It involves pairwise comparisons of criteria and alternatives to obtain their relative priorities. Judgments are made using a fundamental scale and priorities are derived from the principal eigenvector of the comparison matrix. Consistency of judgments is ensured by calculating a consistency ratio. The AHP provides a systematic process to integrate both subjective and objective evaluations to help decision makers select the best alternative.
Decision Making Using The Analytic Hierarchy ProcessVaibhav Gaikwad
Analytic Hierarchy Process (AHP) is an
effective tool for dealing with complex decision making,
and may aid the decision maker to set priorities and
make the best decision. By reducing complex decisions
to a series of pairwise comparisons, and then
synthesizing the results, the AHP helps to capture both
subjective and objective aspects of a decision. In
addition, the AHP incorporates a useful technique for
checking the consistency of the decision maker’s
evaluations, thus reducing the bias in the decision
making process. In this paper we give special emphasis
to departure from consistency and its measurement and
to the use of absolute and relative measurement,
providing examples and justification for rank
preservation and reversal in relative measurement.
The Analytical Hierarchy Process (AHP) is a decision-making tool that breaks down a complex problem into a hierarchical structure. It decomposes the overall goal into criteria and sub-criteria, and provides a scale from 1 to 9 to assess the relative importance of each element against others. Alternatives are evaluated against each criteria and weighted according to the importance of the criteria to arrive at an overall ranking for each alternative.
The Analytic Hierarchy Process (AHP) and Analytic Network Process (ANP) are techniques for multi-criteria decision making. AHP structures decisions as a hierarchy, while ANP structures them as a network to account for interdependencies. Both use pairwise comparisons to measure weights and rank alternatives. The four major steps of ANP are: 1) model construction, 2) pairwise comparison matrices to derive local priorities, 3) supermatrix formation to obtain global priorities, and 4) selection of the best alternative based on overall priorities. The document then provides an example case study of applying ANP to analyze strengths, weaknesses, opportunities, and threats for an insurance company in Iran.
Selection of retail store in kingdom of saudi arabia using analytic hierarchy...IAEME Publication
This document summarizes a study that used the Analytic Hierarchy Process (AHP) to determine criteria for selecting retail stores in Saudi Arabia. 350 customers ranked 22 criteria for importance. The top 9 criteria were used to compare 3 retail stores (A1, A2, A3) in the Aseer region. Pairwise comparisons and weighting determined cleanliness, fruit/vegetable quality, and discounts were most important. AHP analysis showed store A2 best met customer preferences based on the prioritized criteria.
USING THE ANALYTIC HIERARCHY PROCESS AND GIS FOR DECISION MAKING IN RURAL HIG...IAEME Publication
Rural highway route location is a very complex case, requiring significant time and effort from the planners. This study presented the route location method by applying Analytic Hierarchy Process (AHP) and Geographical Information System (GIS). The location of the study is confined to south Mosul city in Iraq of the area (198km2). The researcher is behind defining the route which connects Baghdad-Mosul and Mosul-Kirkuk roadways. This route is considered the suggested turn to Mosul city. A variety of data set from different sources and at different scales are managed.
Analytical hierarchy process for design selection of micro hot marking tool (...Nik Faris
- The document describes a study that used the Analytical Hierarchy Process (AHP) to select the best conceptual design for a Micro Hot-Marking Tool (HMT) out of four alternatives.
- AHP involved constructing a hierarchy of criteria and sub-criteria, performing pairwise comparisons, and calculating priority vectors to determine that Concept 2 had the highest score and was the best design concept.
- The consistency ratio was less than 0.1, validating the AHP analysis and confirming that Concept 2 should be selected for the next design stage of developing the HMT.
Requirements analytic hierarchy processAbdul Basit
This document describes the Analytic Hierarchy Process (AHP), a framework for multi-criteria decision making. AHP breaks down a decision problem into a hierarchy of criteria and alternatives. It uses pairwise comparisons to determine the relative importance of criteria and to rank alternatives. Both qualitative and quantitative information can be incorporated through informed judgments to derive weights and priorities. An example of using AHP to select a car based on style, reliability, and fuel economy is provided to illustrate the process.
A Multicriteria Model for Strategic Implementation of Business Process Manage...CONFENIS 2012
Ana Carolina Scanavachi Moreira Campos, Ana Paula Costa, Adiel Almeida, Daniela Calabria, A Multicriteria Model for Strategic Implementation of Business Process Management
AHP Practice Educator Training Glasgow January 2014Heather Gray
This presentation is both for AHPs who have never supervised a student and experienced AHPs who feel they need update training.
At the end of this training event you will be able to:
Appraise the role and attributes of the practice educator and student, within a multidisciplinary environment;
Evaluate theories, appropriate to adult and professional learners;
Plan, implement and facilitate learning within the practice setting;
Apply sound principles and judgement in the assessment of student performance;
Evaluate and reflect upon the learning experience.
The Analytic Hierarchy Process (AHP) is a technique for analyzing complex decisions using mathematics and psychology. It involves pairwise comparisons of decision factors on a scale to determine their relative importance. As an example, AHP is used to determine the priority weights of cost, brand, and features for a customer choosing a smartphone. Based on the customer's pairwise comparisons, cost is found to be the most important factor at 55.8%, followed by features at 28.3% and brand at 15.9%. AHP can similarly be applied to determine the priority of factors for any complex decision making problem.
Analytical Hierarchy Process applied to maintenance strategy selection for of...Nnaemeka Nwogbe
The aim of this research was to integrate the Analytical Hierarchy Process (AHP), to select the most appropriate maintenance strategy for a challenging environment faced by offshore platforms. Whilst providing new insight into the capability of the AHP methodology. This aim has been accomplished utilizing interview response from shell Maintenance and Inspection supervisors and two case studies based on: Petronas and Analysis of the failure of an offshore compressor crankshaft.
As a result from this research, the maintenance strategy based on information obtained was produced using the AHP multi criteria decision weighing methodology as implemented on a compressor in a corrosive environment.
This document provides a tutorial for using the SuperDecisions software to build decision models using the Analytic Hierarchy Process (AHP) or Analytic Network Process (ANP). It explains the basic concepts of clusters and elements, and how to create a hierarchical model by defining the goal, criteria and alternative clusters, adding elements to each cluster, and connecting the elements. The tutorial also provides an overview of performing pairwise comparisons to obtain priority weights in the decision models. The overall purpose is to demonstrate how to use the SuperDecisions software to structurally model decisions and obtain results using AHP or ANP.
This document discusses using the Branch and Bound technique to solve the traveling salesman problem and water jug problem. Branch and Bound is a method for solving discrete and combinatorial optimization problems by breaking the problem into smaller subsets, calculating bounds on the objective function, and discarding subsets that cannot produce better solutions than the best found so far. The document provides examples of applying Branch and Bound to find the optimal path between states for the water jug problem and the shortest route between cities for the traveling salesman problem.
12. Calculation of Consistency Ratio
• Weight (Eigen Vector)
• max (Ax)
Weight
A x Ax x
1 0.5 3 0.30 0.90 0.30
0.60 1.60 =
0.60
2 1 4 = max
0.10 0.35 0.10
0.333 0.25 1.0
λmax=average{0.90/0.30, 1.60/0.6, 0.35/0.10}=3.06
12
13. Calculation of Consistency Ratio
• Consistency Index (CI) = (λmax-n)/(n-1)
• Consistency Ratio (CR) = CI / random
index
– Random Index Table
• CI=(λmax-n)/(n-1)=(3.06-3)/(3-1)= 0.03
• CR = CI / RI(n)
• = 0.03 / 0.58 = 0.05
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