skip to content
Introduction to linear goal programming Preview this item
ClosePreview this item
Checking...

Introduction to linear goal programming

Author: James P Ignizio
Publisher: Beverly Hills, California : Sage Publications, ©1985.
Series: Quantitative applications in the social sciences, no. 07-056.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
Ignizio, one of the pioneers of goal programming, provides a concise and lucid overview of (a) the linear goal programming model, (b) a computationally efficient algorithm for solution, (c) duality and sensitivity analysis and (d) extensions of the methodology to integer as well as non-linear models.
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: James P Ignizio
ISBN: 0803925646 9780803925649
OCLC Number: 12967572
Description: 96 pages ; 22 cm
Contents: 1. Introduction --
Purpose --
What is goal programming? --
On the use of matrix notation --
2. History and applications --
3. Development of the LGP model --
Notation --
The baseline model --
Terminology --
Additional examples --
Conversion process: linear programming --
LGP conversion procedure: phase one --
LGP conversion process: phase two --
An illustration --
Good and poor modeling practices --
4. An algorithm for solution --
The transformed model --
Basic feasible solution --
Associated conditions --
Algorithm for solution: A narrative description --
The revised multiphase simplex algorithm --
The pivoting procedure in LGP --
5. Algorithm illustration --
The tableau --
Steps of solution procedure --
Listing the results --
Additional tableau information --
Some computational considerations --
Bounded variables --
Solution of LP and minsum LGP models --
6. Duality and sensitivity analysis --
Formulation of the multidimensional dual --
A numerical example --
Interpretation of the dual variables --
Solving the multidimensional dual --
A special MDD simplex algorithm --
Discrete sensitivity analysis --
Parametic LGP --
7. Extensions --
Integer GP --
Nonlinear GP --
Interactive GP.
Series Title: Quantitative applications in the social sciences, no. 07-056.
Responsibility: James P. Ignizio.
More information:

Abstract:

Ignizio, one of the pioneers of goal programming, provides a concise and lucid overview of (a) the linear goal programming model, (b) a computationally efficient algorithm for solution, (c) duality and sensitivity analysis and (d) extensions of the methodology to integer as well as non-linear models.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/12967572> # Introduction to linear goal programming
    a schema:Book, schema:CreativeWork ;
    library:oclcnum "12967572" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/cau> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/1057912#Topic/programmation_lineaire> ; # Programmation linéaire
    schema:about <http://experiment.worldcat.org/entity/work/data/1057912#Topic/zielprogrammierung> ; # Zielprogrammierung
    schema:about <http://experiment.worldcat.org/entity/work/data/1057912#Topic/linear_models> ; # Linear Models
    schema:about <http://dewey.info/class/519.72/e20/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/1057912#Topic/systemes_lineaires> ; # Systèmes linéaires
    schema:about <http://experiment.worldcat.org/entity/work/data/1057912#Topic/models_statistical> ; # Models, Statistical
    schema:about <http://experiment.worldcat.org/entity/work/data/1057912#Thing/linear_goal_programming> ; # Linear goal programming
    schema:about <http://experiment.worldcat.org/entity/work/data/1057912#Topic/lineare_optimierung> ; # Lineare Optimierung
    schema:about <http://experiment.worldcat.org/entity/work/data/1057912#Topic/lineaire_programmering> ; # Lineaire programmering
    schema:about <http://experiment.worldcat.org/entity/work/data/1057912#Topic/entscheidung_bei_mehrfacher_zielsetzung> ; # Entscheidung bei mehrfacher Zielsetzung
    schema:about <http://experiment.worldcat.org/entity/work/data/1057912#Topic/linear_programming> ; # Linear programming
    schema:bookFormat bgn:PrintBook ;
    schema:creator <http://viaf.org/viaf/46913976> ; # James P. Ignizio
    schema:datePublished "1985" ;
    schema:description "Ignizio, one of the pioneers of goal programming, provides a concise and lucid overview of (a) the linear goal programming model, (b) a computationally efficient algorithm for solution, (c) duality and sensitivity analysis and (d) extensions of the methodology to integer as well as non-linear models."@en ;
    schema:description "1. Introduction -- Purpose -- What is goal programming? -- On the use of matrix notation -- 2. History and applications -- 3. Development of the LGP model -- Notation -- The baseline model -- Terminology -- Additional examples -- Conversion process: linear programming -- LGP conversion procedure: phase one -- LGP conversion process: phase two -- An illustration -- Good and poor modeling practices -- 4. An algorithm for solution -- The transformed model -- Basic feasible solution -- Associated conditions -- Algorithm for solution: A narrative description -- The revised multiphase simplex algorithm -- The pivoting procedure in LGP -- 5. Algorithm illustration -- The tableau -- Steps of solution procedure -- Listing the results -- Additional tableau information -- Some computational considerations -- Bounded variables -- Solution of LP and minsum LGP models -- 6. Duality and sensitivity analysis -- Formulation of the multidimensional dual -- A numerical example -- Interpretation of the dual variables -- Solving the multidimensional dual -- A special MDD simplex algorithm -- Discrete sensitivity analysis -- Parametic LGP -- 7. Extensions -- Integer GP -- Nonlinear GP -- Interactive GP."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/1057912> ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/1057912#Series/quantitative_applications_in_the_social_sciences> ; # Quantitative applications in the social sciences ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/1057912#Series/a_sage_university_paper_quantitative_applications_in_the_social_sciences> ; # A Sage university paper. Quantitative applications in the social sciences ;
    schema:name "Introduction to linear goal programming"@en ;
    schema:productID "12967572" ;
    schema:url <http://catdir.loc.gov/catdir/enhancements/fy0654/85072574-t.html> ;
    schema:url <http://www.gbv.de/dms/bowker/toc/9780803925649.pdf> ;
    schema:workExample <http://worldcat.org/isbn/9780803925649> ;
    umbel:isLike <http://bnb.data.bl.uk/id/resource/GB8706741> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/12967572> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/1057912#Series/a_sage_university_paper_quantitative_applications_in_the_social_sciences> # A Sage university paper. Quantitative applications in the social sciences ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/12967572> ; # Introduction to linear goal programming
    schema:name "A Sage university paper. Quantitative applications in the social sciences ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/1057912#Series/quantitative_applications_in_the_social_sciences> # Quantitative applications in the social sciences ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/12967572> ; # Introduction to linear goal programming
    schema:name "Quantitative applications in the social sciences ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/1057912#Thing/linear_goal_programming> # Linear goal programming
    a schema:Thing ;
    schema:name "Linear goal programming" ;
    .

<http://experiment.worldcat.org/entity/work/data/1057912#Topic/entscheidung_bei_mehrfacher_zielsetzung> # Entscheidung bei mehrfacher Zielsetzung
    a schema:Intangible ;
    schema:name "Entscheidung bei mehrfacher Zielsetzung"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1057912#Topic/lineaire_programmering> # Lineaire programmering
    a schema:Intangible ;
    schema:name "Lineaire programmering"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1057912#Topic/linear_programming> # Linear programming
    a schema:Intangible ;
    schema:name "Linear programming"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1057912#Topic/lineare_optimierung> # Lineare Optimierung
    a schema:Intangible ;
    schema:name "Lineare Optimierung"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1057912#Topic/models_statistical> # Models, Statistical
    a schema:Intangible ;
    schema:name "Models, Statistical"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1057912#Topic/programmation_lineaire> # Programmation linéaire
    a schema:Intangible ;
    schema:name "Programmation linéaire"@en ;
    schema:name "Programmation linéaire"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/1057912#Topic/systemes_lineaires> # Systèmes linéaires
    a schema:Intangible ;
    schema:name "Systèmes linéaires"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1057912#Topic/zielprogrammierung> # Zielprogrammierung
    a schema:Intangible ;
    schema:name "Zielprogrammierung"@en ;
    .

<http://viaf.org/viaf/46913976> # James P. Ignizio
    a schema:Person ;
    schema:familyName "Ignizio" ;
    schema:givenName "James P." ;
    schema:name "James P. Ignizio" ;
    .

<http://worldcat.org/isbn/9780803925649>
    a schema:ProductModel ;
    schema:isbn "0803925646" ;
    schema:isbn "9780803925649" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.