Holomorphic Prioritization of Sets within Decagram of Strategic Decision Making of POSM Using Operational Research (OR): Analytic Hierarchy Process (AHP) Analysis (original) (raw)
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Dodecagram is a geometric mathematical polygon with twelve sets (sides, arrays) and twelve angles which are polymorphic, homomorphic, and orthogonal. The paper presents twelve sets (arrays of arrays, departments) which represent typical departments of enterprise. The main purpose of the research is search and sort the sets (arrays) using one of the most popular operational research (OR) /decision science(DS)/management science (MS) tool known as Analytic Hierarchy Process (AHP) Analysis. The connection within the twelve sets are represented using configuration of abelian graph and complete graphs. The characteristic of abelian graph and complete graphs is that the connection (collection) is without sub optimization with each other (Hussain and Tembe, 2014). It is attractive and interesting to use searching and sorting algorithms because searching and sorting are the two most widely and thoroughly studied, researched, and applied analytic and stochastic mathematical computation topics across many disciplines. It further noteworthy to point out that there are several sorting and searching algorithms. One of the algorithm used in the paper is prioritization using visual programming language with AHP. Sorting and searching can be used specially for interface elements for listed or linked lists(array of arrays). All the set are interlocked via supply chain. The further purpose of this paper is bring analogy that Dodecagram sets are interconnected with supply chain(SC).
THE ANALYTIC HIERARCHY AND ANALYTIC NETWORK PROCESSES
The Analytic Hierarchy Process (AHP) and its generalization to dependence and feedback, the Analytic Network Process (ANP), are theories of relative measurement of intangible criteria. With this approach to relative measurement, a scale of priorities is derived from pairwise comparison measurements only after the elements to be measured are known. The ability to do pairwise comparisons is our biological heritage and we need it to cope with a world where everything is relative and constantly changing. In traditional measurement one has a scale that one applies to measure any element that comes along that has the property the scale is for, and elements are measured one by one, not by comparing them with each other. In the AHP paired comparisons are made with judgments using numerical values taken from the AHP absolute fundamental scale of 1-9. A scale of relative values is derived from all these paired comparisons and it also belongs to an absolute scale that is invariant under the identity transformation like the system of real numbers. The AHP/ANP is useful for making multicriteria decisions involving benefits, opportunities, costs and risks. The ideas are developed in stages and illustrated with examples of real life decisions. The subject is transparent and despite some mathematics, it is easy to understand why it is done the way it is along the lines discussed here.
Decision making with the analytic hierarchy process
Decisions involve many intangibles that need to be traded off. To do that, they have to be measured along side tangibles whose measurements must also be evaluated as to, how well, they serve the objectives of the decision maker. The Analytic Hierarchy Process (AHP) is a theory of measurement through pairwise comparisons and relies on the judgements of experts to derive priority scales. It is these scales that measure intangibles in relative terms. The comparisons are made using a scale of absolute judgements that represents, how much more, one element dominates another with respect to a given attribute. The judgements may be inconsistent, and how to measure inconsistency and improve the judgements, when possible to obtain better consistency is a concern of the AHP. The derived priority scales are synthesised by multiplying them by the priority of their parent nodes and adding for all such nodes. An illustration is included.
A review of applications of Analytic Hierarchy Process in operations management
The purpose of this paper is to review the literature on the applications of the Analytic Hierarchy Process (AHP) in operations management and suggest possible gaps from the point of view of researchers and practitioners. This paper systematically categorises the published literature from 1990 to 2009 in 291 peer reviewed journals articles (searched via Emerald, Ingenta, MetaPress, ProQuest, and ScienceDirect) and then reviews and analyses them methodologically. Our analysis has revealed that a significant number of AHP applications are found when problems require considerations of both quantitative and qualitative factors (e.g., socioeconomic operations decisions). AHP has been largely applied to macro (complex and real) and people (managerial-subjective) oriented problems. The most addressed decision themes are product and process design and, managing the supply chain. A majority of AHP applications are application or case study oriented and only a few papers aimed at contributing to AHP modelling before applying to practical problems. Our review has found that significant research gap exists in the application of AHP in the areas of forecasting, layout of facilities and managing stocks. This paper presents a comprehensive listing of AHP applications in operations management and develops a framework for identifying the decision areas that have better research gaps to be studied by future researchers.
FUNDAMENTALS OF THE ANALYTIC NETWORK PROCESS
The Analytic Network Process (ANP) is a general theory of relative measurement used to derive composite priority ratio scales from individual ratio scales that represent relative measurements of the influence of elements that interact with respect to control criteria. Through its superma-trix whose elements are themselves matrices of column priorities, the ANP captures the outcome of dependence and feedback within and between clusters of elements. The Analytic Hierarchy Process (AHP) with its dependence assumptions on clusters and elements is a special case of the ANP. The ANP is a new and an essential phase in decision making, neglected so far because of the linear structures used in traditional approaches and their inability to deal with feedback in order to choose alternatives not simply according to attributes and criteria, but also according to their consequences both positive and negative – an essential and so far a missing consideration in decision making. This paper gives a brief look at the foundation of the ANP together with a simple example.
A Literature Review on Ahp ( Analytic Hierarchy Process )
2018
This paper examines the pattern of development of the AHP research. The Analytic Hierarchy Process (AHP) was introduced by T.L. Saaty, is an effective tool for dealing with complex decision making, and may aid the decision maker to set priorities and make the best decision. The analytic hierarchy process (AHP) is a theory of measurement through pairwise comparisons and relies on the judgments of experts to derive priority scales, these scales that measure intangibles in relative terms. The ratio scales are derived from the principal Eigen vectors and the consistency index is derived from the principal Eigen value.
The Analytic Hierarchy Process: A Methodology for Win-Win Management
media-arts.kau.edu.sa
Conflict resolution is the search for an outcome that represents for some participants as improvement from, and for noparticipants a worsening of, their present situation. Group decision making sessions often leads to conflict and loss of sight in particular when the problem is hard to structure and involves qualitative and quantitative criteria. Most executive managers face on daily basis problems that contain one or more of the above elements. They need scientific, but practical tools to help them in making rational decisions. This paper presents the analytic hierarchy process (AHP), a scientific methodology was developed. The AHP can be described as an effective tool for decision making at the executive level of management. It addresses three aspects of decision making problems multi criteria, group decision-making, and conflict resolution. The AHP concept will be reviewed. How does it work? Practical examples of its applications are surveyed. The advantages of implementing the AHP are highlighted.
J. for International Business and Entrepreneurship Development, 2005
The use of the analytic hierarchy process (AHP) for decision making is sometimes marred by the laborious effort of conducting a large number of pairwise comparisons, especially in the presence of a large number of criteria. The present empirical study attempts to investigate the possibility of eliminating insignificant criteria in order to reduce AHP computational time. Using Expert Choice software, findings confirmed that criteria assigned with comparatively lesser weights can be excluded from the hierarchy and thereby the total time required for making pairwise comparisons is reduced. To solve large-scale enterprise multi-criteria decision-making problems (that involve large number of criteria) by AHP, it is proposed that, at the very outset, decision-makers can apply nominal group technique to identify the more significant criteria and drop lesser important criteria from the list. This proposed methodology is expected to enhance the applicability of AHP in solving various kinds of larger sized multicriteria decision-making problems in any enterprise.
The analytic hierarchy process as a support for decision making
Spatium, 2007
The first part of this text deals with a convention site selection as one of the most lucrative areas in the tourism industry. The second part gives a further description of a method for decision making - the analytic hierarchy process. The basic characteristics: hierarchy constructions and pair wise comparison on the given level of the hierarchy are allured. The third part offers an example of application. This example is solved using the Super - Decision software, which is developed as a computer support for the analytic hierarchy process. This indicates that the AHP approach is a useful tool to help support a decision of convention site selection. .