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to facilitate the selection of two alternatives Analytic
Hierarchy Process (AHP) model is being used. In
order to quantify the influence of related factors to
the selection of two alternatives of Turkish ship
management companies, this study developed a
hierarchical analysis framework being applied by
AHP method. (May 1999, Smeaton 1995)
2 THE ANALYTIC HIERARCHY PROCESS
METHODOLOGY
The main purpose of this paper is to solve the
selection of route planning equipment by employing
AHP method. As it is well-known, the AHP consists
of decomposing a complex problem into its
components, organizing the components, organizing
the components, organizing the components into sets
and locating the sets into levels to generate a
hierarchical structure. The aim of constructing such
a hierarchy is to determine the impact of lover level
elements on an upper level criterion, which is
achieved by pair wise comparisons provided by the
decision maker. The AHP is a simple decision
making tool to deal with complex, unstructured an
multi attribute problems which has been developed
by Saaty. (Saaty, 1980) The most creative part of
decision making, that has an important effect on the
outcome, is modeling the problem. Identification of
the decision hierarchy is the key to success in using
AHP. AHP is essentially the formalization of a
complex problem using a hierarchical structure and
it is a multi criteria decision making approach that
employs pair wise comparisons. The AHP consists
of three basic steps;
− Design of the decision hierarchy,
− The prioritization procedure,
− Calculation of results.
AHP initially breaks down a complex multi
criteria decision making problem into a hierarchy of
interrelated decision elements (criteria, decision
alternatives). With The AHP, the objectives, criteria
and alternatives are arranged in a hierarchical
structure similar to a family tree. A hierarchy has at
least three levels: overall goal of the problem at the
top, multiple criteria that define alternatives in the
middle, and competing alternatives at the bottom.
The process of building this structure not only helps
to identify all the elements of the decision more
accurately, but also to recognize the inter-
relationships between them. The AHP process
involves defining the various alternatives, organizing
the objectives and goals, developing the decision
hierarchy, synthesizing the result, examining how
modifying the variables affects the results. The top
level of hierarchy consists of only one element,
which is the overall objective. The elements that
affect the decision are called attributes or criteria.
The lowest level of hierarchy is referred to as
alternatives, which are decision options. (Forman &
Selly, 2000)
Once the problem has been decomposed and the
hierarchy constructed, prioritization procedure starts
in order to determine the relative importance of the
elements within each level. The pair-wise judgment
starts from the second level (first level of criteria)
and finishes in the lowest level, alternatives. In each
level the elements are compared pair-wise according
to their levels of influence and based on the specified
element in the higher level. The decision maker must
express his preference between each pair elements
(collecting input data of decision elements). (Golden
& Wasil & Harker 1989, Zahedi, 1986)
After forming the preference matrices, the mathe-
matical process commence in order normalize and
find the priority weights for each matrix (using the
eigenvalue method to estimate the relative weights
of the decision elements and rating the decision
alternatives). (Chin & Chiu & Tummala, 1999)
It should be noted that the quality of the output of
the AHP is strictly related to the consistency of the
pair wise comparison judgments given by managers.
Saaty (Wind & Saaty, 1980) suggests a simple
procedure for checking on consistency. Then the
AHP process determines the consistency ratio (CR)
for all matrices. If the CR value is larger than 0.10
(which is the acceptable upper limit for CR , it
implies that there is a 10% chance that the elements
have not been properly compared. In this case the
decision maker must review the comparisons made.
In using the AHP to model this problem, we
developed a hierarchic structure to represent the
problem of selecting route planning equipment and
made pair wise comparisons. The factors, which
affect this problem, are analyzed in a hierarchy
having 5 levels. (Kuruuzum & Atsan 2001)
3 AHP APPLICATION ON SELECTING ROUTE
PLANNING EQUIPMENT
3.1 Structuring the decision hierarchy
The first step of the AHP consists of developing a
hierarchical structure of the assessment problem. In
order to determine the best alternative, a four level
hierarchical model is devised. The first level,
objective, here is referred to as the selection of route
planning equipment (SRPE). (Hadley 1997)The goal
is divided into two main criteria, which are
economical (E), navigational safety (NS) factors.
The third level of hierarchy includes sub-criteria;