Mixed-Integer Programming to Solve Distribution Problems

Mixed-integer linear and quadratic programming problems are considered to solve distribution problems in this paper. The first problem is the distribution of proctors with respect to the student placements to the class- rooms by mixed-integer linear programming whereas the second problem is the fair...

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Main Authors: Kamil Oruçoğlu, Elif Adaköy, Melis Mumcuoğlu, Seray Şengül, Gökhan Göksu
Format: Article
Language:English
Published: Tokat Gaziosmanpasa University 2020-12-01
Series:Journal of New Results in Science
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/1434393
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author Kamil Oruçoğlu
Elif Adaköy
Melis Mumcuoğlu
Seray Şengül
Gökhan Göksu
author_facet Kamil Oruçoğlu
Elif Adaköy
Melis Mumcuoğlu
Seray Şengül
Gökhan Göksu
author_sort Kamil Oruçoğlu
collection DOAJ
description Mixed-integer linear and quadratic programming problems are considered to solve distribution problems in this paper. The first problem is the distribution of proctors with respect to the student placements to the class- rooms by mixed-integer linear programming whereas the second problem is the fair distribution of the workloads for teaching assistants in a department formulated by mixed-integer quadratic programming. Three approaches to find the solution for mixed-integer quadratic programming problem are proposed and a comparative example is given to measure the effects for the suggested criterion.
format Article
id doaj-art-650fa8271fb7466da3c1c245ca3ace7c
institution Kabale University
issn 1304-7981
language English
publishDate 2020-12-01
publisher Tokat Gaziosmanpasa University
record_format Article
series Journal of New Results in Science
spelling doaj-art-650fa8271fb7466da3c1c245ca3ace7c2025-08-20T03:44:20ZengTokat Gaziosmanpasa UniversityJournal of New Results in Science1304-79812020-12-01933850142Mixed-Integer Programming to Solve Distribution ProblemsKamil Oruçoğlu0https://orcid.org/0000-0002-8848-0058Elif Adaköy1Melis Mumcuoğlu2Seray Şengül3Gökhan Göksu4https://orcid.org/0000-0001-8442-9637ISTANBUL TECHNICAL UNIVERSITYISTANBUL TECHNICAL UNIVERSITYISTANBUL TECHNICAL UNIVERSITYISTANBUL TECHNICAL UNIVERSITYISTANBUL TECHNICAL UNIVERSITYMixed-integer linear and quadratic programming problems are considered to solve distribution problems in this paper. The first problem is the distribution of proctors with respect to the student placements to the class- rooms by mixed-integer linear programming whereas the second problem is the fair distribution of the workloads for teaching assistants in a department formulated by mixed-integer quadratic programming. Three approaches to find the solution for mixed-integer quadratic programming problem are proposed and a comparative example is given to measure the effects for the suggested criterion.https://dergipark.org.tr/en/download/article-file/1434393integer programminglinear programmingquadratic programmingdistribution problems
spellingShingle Kamil Oruçoğlu
Elif Adaköy
Melis Mumcuoğlu
Seray Şengül
Gökhan Göksu
Mixed-Integer Programming to Solve Distribution Problems
Journal of New Results in Science
integer programming
linear programming
quadratic programming
distribution problems
title Mixed-Integer Programming to Solve Distribution Problems
title_full Mixed-Integer Programming to Solve Distribution Problems
title_fullStr Mixed-Integer Programming to Solve Distribution Problems
title_full_unstemmed Mixed-Integer Programming to Solve Distribution Problems
title_short Mixed-Integer Programming to Solve Distribution Problems
title_sort mixed integer programming to solve distribution problems
topic integer programming
linear programming
quadratic programming
distribution problems
url https://dergipark.org.tr/en/download/article-file/1434393
work_keys_str_mv AT kamilorucoglu mixedintegerprogrammingtosolvedistributionproblems
AT elifadakoy mixedintegerprogrammingtosolvedistributionproblems
AT melismumcuoglu mixedintegerprogrammingtosolvedistributionproblems
AT seraysengul mixedintegerprogrammingtosolvedistributionproblems
AT gokhangoksu mixedintegerprogrammingtosolvedistributionproblems