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! " # $ Online Analytical Processing (OLAP) is an industryaccepted. analysis and easy reporting on large volumes of data, represented as cubes.

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Cláudia Antunes 2006

2 Sistemas de Apoio à Decisão by Cláudia Antunes

3 Sistemas de Apoio à Decisão by Cláudia Antunes

Cubos

um cubo é a estrutura de dados usada para manipular os dados que instanciam um modelo multidimensional as arestas do cubo correspondem às diferentes dimensões

Date Prod uct L oc al TV VCRPC D1 D2 … Dn Lisbon … New York Célula: montante de vendas para os VCRs vendidos no D1 em NY a intersecção dos valores de cada dimensão (células) expressam a agregação dos factos registados na combinação dessas condições

4 Sistemas de Apoio à Decisão by Cláudia Antunes

Cubos

os cubos são criados para pré-calcular as agregações mais frequentes, para acelerar a exploração de dados

existem vários cubos para representar um só modelo O cubo que representa os factos ao mais baixo nível de detalhe designa-se por cubo base

O cubo ao mais alto nível de

detalhe por cubo apíce Date

Prod uct L oc al TV VCRPC 1989 1990 … 2000 Portugal … USA Agregação: montante de vendas para todos os produtos vendidos no ano 1989

em Portugal

Célula

5 Sistemas de Apoio à Decisão by Cláudia Antunes

When you create and use summarized tables,

application performance can be substantially

improved.

The summarized tables eliminate the need to run

summaries at execution time.

The presummarized data must be refreshed only

when the underlying data changes.

Every time that the user moves in the application a

new summarization must often be calculated.

However, each summarization could be stored

within a cube, which eliminates the processing

time of calculating every type of summarization.

6 Sistemas de Apoio à Decisão by Cláudia Antunes

! "

#

$

Online Analytical Processing (OLAP) is an

industry-accepted reporting technology that provides

high-performance analysis and easy reporting on large

volumes of data, represented as cubes.

Goals:

to provide fast and flexible access to data summarization, to view trends over time,

to look at different relationships in data by looking beyond traditional two-dimensional row and column data analysis.

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7 Sistemas de Apoio à Decisão by Cláudia Antunes

Roll-up (drill-up)

summarize data

by climbing up hierarchy or by

dimension reduction

Date Prod uct L oc al TV VCRPC D1 D2 … Dn Lisbon … New York Date Prod uct L oc al TV VCRPC 19891990 … 2000 Lisbon … New York Roll-up (Date) 8 Sistemas de Apoio à Decisão by Cláudia Antunes

Drill-down (roll down):

reverse of roll-up, detailing data from higher

level summary to lower level summary or

detailed data, or introducing new dimensions

Date Prod uct L oc al TV VCRPC D1 D2 … Dn Lisbon … New York Date Prod uct L oc al TV VCRPC 1989 1990 … 2000 Lisbon … New York Drill-down(Date) 9 Sistemas de Apoio à Decisão by Cláudia Antunes

Drill-through:

Detailing data from higher level summary to

lower level summary in a single member

Date Prod uct L oc al TV VCRPC

Jan89 Feb89…Dec89

Lisbon … New York Date Prod uct L oc al TV VCRPC 1989 1990 … 2000 Lisbon … New York Drill-through(1989) 10 Sistemas de Apoio à Decisão by Cláudia Antunes

Slice:

Select portions of data in a single dimension

Date Prod uct L oc al TV VCRPC D1 D2 … Dn Lisbon … New York Date Prod uct L oc al TV VCRPC D1 D2 … Dn Lisbon Slice(Local=Lisbon)

Dice:

Select portions of data in conjunction of dimensions

Date Prod uct L oc al TV VCRPC D1 D2 … Dn Lisbon … New York Date Prod uct L oc al TV VCRPC D1 Lisbon

Pivot:

Visualization of the hyper-dimensional cube in 2D

planes

Date Prod uct L oc al TV VCRPC D1 D2 … Dn Lisbon … New York 2 1 Paris 1 2 New York 1 1 Lisbon Lo ca l TV 2 New York 2 Lisbon Lo ca l PC P ro du ct 2004 2003 2002 2001 2000 1999 Date

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%

&

14 Sistemas de Apoio à Decisão by Cláudia Antunes

! "

$

The Multidimensional eXpressions (MDX)

language is a standardized, high-level

language that is used for querying

multidimensional data sources

Is considered the multidimensional

equivalent to SQL

As SQL returns a subset of two-dimensional

data from tables, MDX returns a subset of

multidimensional data from cubes

15 Sistemas de Apoio à Decisão by Cláudia Antunes

' (

Cube Dimensions Measures Levels Members Hierarchies Private Dimension 16 Sistemas de Apoio à Decisão by Cláudia Antunes

17 Sistemas de Apoio à Decisão by Cláudia Antunes

[ ] The square brackets encircle cube

names, dimension names, hierarchy names,

and member names

. The dot separates the member names and

the dimension names

Example of a Member: [Time].[2ndhalf].[3rdquarter]

18 Sistemas de Apoio à Decisão by Cláudia Antunes

' (

Tuples

Tuples list dimensions and members to identify

individual

cells

, as well as a larger section of

cells in the cube.

Tuples that encompass more than one cell are

called

slices

.

( )

Parentheses encircle tuples.

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19 Sistemas de Apoio à Decisão by Cláudia Antunes

' (

Examples of Tuples

A slice: ([Time].[2ndhalf]) A dice: ( [Time].[2ndhalf],

[Source].[Nonground].[Air] )

20 Sistemas de Apoio à Decisão by Cláudia Antunes

' (

Sets

A set is an ordered collection of zero, one or more

tuples.

{ } Curly brackets encircle sets.

{([Time].[1sthalf], [Source].[nonground].[air]),

(Time.[2nd half], [Source].[nonground].[sea]) }

: The colon defines a range in sets

{([Time].[1sthalf].[1stquarter]) :([Time].[2ndhalf].[4thquarter]) }

, The comma separates members within

tuples and separates tuples within sets.

21 Sistemas de Apoio à Decisão by Cláudia Antunes

)

(

The components that an MDX query needs in order to extract the requested information are

a component to specify the column headers a component to specify the row headers a pointer to the cube being accessed. General form of the SELECT statement: SELECT

{set defining the column headers} ON COLUMNS, {set defining the row headers} ON ROWS FROM [cube name]

A SELECT statement is used to select the dimensions and members to be returned and is referred to as an axis dimension. An axis dimension is expected to return data for multiple members.

22 Sistemas de Apoio à Decisão by Cláudia Antunes

)

(

The WHERE clause is used to restrict the returned

data to specific dimension and member criteria – a

slicer dimension. A slicer dimension is expected to

return data for a single member.

General form of the query with the addition of the

WHERE clause:

SELECT

{set defining the column headers} ON COLUMNS,

{set defining the row headers} ON ROWS

FROM [cube name]

WHERE (slicer)

)

(

Example

SELECT

{ ( [Route].[nonground].Members ) } ON COLUMNS, { ( [Time].[1st half].Members ) } ON ROWS

FROM TestCube WHERE [Measures].[Packages] 5078 5108 1stquarter sea air

)

(

Named Sets

A named set is an alias for a defined set.

Calculated Members

Members that are based on evaluated expressions in MDX computed at runtime based on data that already exists in the cube.

Advantages:

It helps to clarify the logic Increase the ease of maintenance.

Increases the efficiency of query execution because the set is only executed once at the beginning, stored, and

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25 Sistemas de Apoio à Decisão by Cláudia Antunes

)

(

Use the WITH keyword as part of the SELECT

statement to create a named set or a calculated

member

Creating Named Sets:

WITH SET set_name AS 'set'

SELECT

{set defining the column headers} ON COLUMNS,

{set defining the row headers} ON ROWS

FROM [cube name]

WHERE (slicer)

The named set created using the WITH SET

statement is available only for that query.

26 Sistemas de Apoio à Decisão by Cláudia Antunes

)

(

Named Set example

WITH SET ngMembers AS ‘{([Route].[nonground].Members)} ' SELECT

[ngMembers] ON COLUMNS,

{ ( [Time].[1st half].Members ) } ON ROWS FROM TestCube

WHERE [Measures].[Packages]

27 Sistemas de Apoio à Decisão by Cláudia Antunes

)

(

Creating Calculated Members:

WITH MEMBER member-name AS

'value-expression'

SELECT

{set defining the column headers} ON COLUMNS,

{set defining the row headers} ON ROWS

FROM [cube name]

WHERE (slicer)

The <member_name> value is the fully qualified

name of the calculated member, including the

dimension or level to which the calculated member

is associated.

28 Sistemas de Apoio à Decisão by Cláudia Antunes

)

(

Calculated Members example

WITH MEMBER [Measures].[avgPacks] AS ‘avg([Measures].[Packages]) ’

SELECT

{ ( [Route].[nonground].Members ) } ON COLUMNS, { ( [Time].[1st half].Members ) } ON ROWS

FROM TestCube

WHERE [Measures].[avgPacks]

29 Sistemas de Apoio à Decisão by Cláudia Antunes

*

Children: returns the children of a member.

Members: returns the set of all members in a

dimension, hierarchy, or level.

CrossJoin: returns the cross product of two

sets.

TopCount: returns a specified number of items

from the top of a set, optionally ordering the

set first.

30 Sistemas de Apoio à Decisão by Cláudia Antunes

*

CrossJoin Example

SELECT

CROSSJOIN ({[Time].[1st half].Members},

{[Route].[nonground].Members}) ON COLUMNS, { ( [Source].[Eastern hemisphere].Members ) } ON ROWS FROM TestCube

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31 Sistemas de Apoio à Decisão by Cláudia Antunes

*

TopCount Example

SELECT

TOPCOUNT ({[Source].[Eastern hemisphere].Members)}, 2, [Measures].[Packages]) ON COLUMNS, {[Time].[1st half].Members} ON ROWS

FROM TestCube

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