SOLVING INTEGER LINEAR PROGRAMMING using SPIRAL OPTIMIZATION METHOD

Integer linear programming is a linear programming of which the variables are restricted to integer values. Solving the integer linear programming is commonly carried out by applying the Simplex method combined with branch and bound technique or the Gomory cut technique. In this thesis, an alternati...

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Main Author: Intan Sari, Ilma
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/35491
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:35491
spelling id-itb.:354912019-02-26T14:02:45ZSOLVING INTEGER LINEAR PROGRAMMING using SPIRAL OPTIMIZATION METHOD Intan Sari, Ilma Indonesia Theses Integer Linear Programming, Spiral Optimization Methods and Branch and Bound Methods, Cutting Stock Problems. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/35491 Integer linear programming is a linear programming of which the variables are restricted to integer values. Solving the integer linear programming is commonly carried out by applying the Simplex method combined with branch and bound technique or the Gomory cut technique. In this thesis, an alternative method to replace the Simplex, called as spiral optimization method, is presented to solve Integer linear programming. The reliability of spiral optimization method is highly determined by two parameters: the radius of the exploration and the spiral rotation value. The present method is combined with the branch and bound technique as a hybrid method to solve a cutting stock problem. For a small scale problem, the hybrid method is capable to solve the problem. However, for the large one the method is not efficient. For this reason, the branch and bound technique is then replaced by round off technique in order to obtain integer values. text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description Integer linear programming is a linear programming of which the variables are restricted to integer values. Solving the integer linear programming is commonly carried out by applying the Simplex method combined with branch and bound technique or the Gomory cut technique. In this thesis, an alternative method to replace the Simplex, called as spiral optimization method, is presented to solve Integer linear programming. The reliability of spiral optimization method is highly determined by two parameters: the radius of the exploration and the spiral rotation value. The present method is combined with the branch and bound technique as a hybrid method to solve a cutting stock problem. For a small scale problem, the hybrid method is capable to solve the problem. However, for the large one the method is not efficient. For this reason, the branch and bound technique is then replaced by round off technique in order to obtain integer values.
format Theses
author Intan Sari, Ilma
spellingShingle Intan Sari, Ilma
SOLVING INTEGER LINEAR PROGRAMMING using SPIRAL OPTIMIZATION METHOD
author_facet Intan Sari, Ilma
author_sort Intan Sari, Ilma
title SOLVING INTEGER LINEAR PROGRAMMING using SPIRAL OPTIMIZATION METHOD
title_short SOLVING INTEGER LINEAR PROGRAMMING using SPIRAL OPTIMIZATION METHOD
title_full SOLVING INTEGER LINEAR PROGRAMMING using SPIRAL OPTIMIZATION METHOD
title_fullStr SOLVING INTEGER LINEAR PROGRAMMING using SPIRAL OPTIMIZATION METHOD
title_full_unstemmed SOLVING INTEGER LINEAR PROGRAMMING using SPIRAL OPTIMIZATION METHOD
title_sort solving integer linear programming using spiral optimization method
url https://digilib.itb.ac.id/gdl/view/35491
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