A BI-OBJECTIVE COST MINIMIZATION MODEL FOR THE INSULAR TOUR ROUTE PLANNING PROBLEM

This article presents a study on the development of a bi-objective cost problem optimization model in planning tourist routes in the island zone. This problem is a new variant of the tour route plan problem. Bi-objective view of two cost components, namely maritime transportation costs and ground tr...

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Main Authors: Mohammad Thezar Afifudin, Muspida Muspida, Dian Pratiwi Sahar
Format: Article
Language:English
Published: Universitas Pattimura 2024-03-01
Series:Barekeng
Subjects:
Online Access:https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/10607
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author Mohammad Thezar Afifudin
Muspida Muspida
Dian Pratiwi Sahar
author_facet Mohammad Thezar Afifudin
Muspida Muspida
Dian Pratiwi Sahar
author_sort Mohammad Thezar Afifudin
collection DOAJ
description This article presents a study on the development of a bi-objective cost problem optimization model in planning tourist routes in the island zone. This problem is a new variant of the tour route plan problem. Bi-objective view of two cost components, namely maritime transportation costs and ground transportation costs. Two models were formulated using a mixed integer linear programming approach. The first model was designed to minimize one of the two cost components separately.  The second model was bi-objective cost minimization based on the priority weights of the two costs. It was designed to determine minimum transportation costs based on priority weights. Model testing was carried out through numerical experiments on several cases that often occur in industries in Maluku, Indonesia, especially tourism and goods shipping. Each case has variations in the number of islands and nodes. As a result, the model can demonstrate its adaptability to changes in objectives and parameters. For cases that do not have a single solution, an increase in the network structure on the number of islands and nodes will increase the variety of efficient alternative solutions. The set of efficient solutions also shows an inverse relationship between MTC and GTC. The results also show that MTC minimization cannot be used as a reference for TC minimization in cases with many nodes and islands. Efforts to minimize MTC in the island zone impact reducing total costs but do not mean minimizing total costs. In addition, based on the exponential trend line of computing time, the number of nodes has a more significant influence on computing time compared to the number of islands.
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publishDate 2024-03-01
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spelling doaj-art-9ab7f8a2f49b4e3b8c64905309749df32025-08-20T04:00:48ZengUniversitas PattimuraBarekeng1978-72272615-30172024-03-011810437044810.30598/barekengvol18iss1pp0437-044810607A BI-OBJECTIVE COST MINIMIZATION MODEL FOR THE INSULAR TOUR ROUTE PLANNING PROBLEMMohammad Thezar Afifudin0Muspida Muspida1Dian Pratiwi Sahar2Department of Industrial Engineering, Faculty of Engineering, Pattimura University, IndonesiaDepartment of Development Economics, Faculty of Business and Economics, Pattimura University, IndonesiaDepartment of Industrial Engineering, Faculty of Engineering, Pattimura University, IndonesiaThis article presents a study on the development of a bi-objective cost problem optimization model in planning tourist routes in the island zone. This problem is a new variant of the tour route plan problem. Bi-objective view of two cost components, namely maritime transportation costs and ground transportation costs. Two models were formulated using a mixed integer linear programming approach. The first model was designed to minimize one of the two cost components separately.  The second model was bi-objective cost minimization based on the priority weights of the two costs. It was designed to determine minimum transportation costs based on priority weights. Model testing was carried out through numerical experiments on several cases that often occur in industries in Maluku, Indonesia, especially tourism and goods shipping. Each case has variations in the number of islands and nodes. As a result, the model can demonstrate its adaptability to changes in objectives and parameters. For cases that do not have a single solution, an increase in the network structure on the number of islands and nodes will increase the variety of efficient alternative solutions. The set of efficient solutions also shows an inverse relationship between MTC and GTC. The results also show that MTC minimization cannot be used as a reference for TC minimization in cases with many nodes and islands. Efforts to minimize MTC in the island zone impact reducing total costs but do not mean minimizing total costs. In addition, based on the exponential trend line of computing time, the number of nodes has a more significant influence on computing time compared to the number of islands.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/10607bi-objectiveroutingsingle_tourinsulararchipelago
spellingShingle Mohammad Thezar Afifudin
Muspida Muspida
Dian Pratiwi Sahar
A BI-OBJECTIVE COST MINIMIZATION MODEL FOR THE INSULAR TOUR ROUTE PLANNING PROBLEM
Barekeng
bi-objective
routing
single_tour
insular
archipelago
title A BI-OBJECTIVE COST MINIMIZATION MODEL FOR THE INSULAR TOUR ROUTE PLANNING PROBLEM
title_full A BI-OBJECTIVE COST MINIMIZATION MODEL FOR THE INSULAR TOUR ROUTE PLANNING PROBLEM
title_fullStr A BI-OBJECTIVE COST MINIMIZATION MODEL FOR THE INSULAR TOUR ROUTE PLANNING PROBLEM
title_full_unstemmed A BI-OBJECTIVE COST MINIMIZATION MODEL FOR THE INSULAR TOUR ROUTE PLANNING PROBLEM
title_short A BI-OBJECTIVE COST MINIMIZATION MODEL FOR THE INSULAR TOUR ROUTE PLANNING PROBLEM
title_sort bi objective cost minimization model for the insular tour route planning problem
topic bi-objective
routing
single_tour
insular
archipelago
url https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/10607
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