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A Monte Carlo simulation-based approach to solve dynamic sectorization problem

dc.contributor.authorTeymourifar, Aydin
dc.contributor.authorRodrigues, Ana Maria
dc.contributor.authorFerreira, José Soeiro
dc.date.accessioned2021-12-29T10:20:40Z
dc.date.available2021-12-29T10:20:40Z
dc.date.issued2021-09-30
dc.description.abstractIn this study, two novel stochastic models are introduced to solve the dynamic sectorization problem, in which sectors are created by assigning points to service centres. The objective function of the first model is defined based on the equilibration of the distance in the sectors, while in the second one, it is based on the equilibration of the demands of the sectors. Both models impose constraints on assignments and compactness of sectors. In the problem, the coordinates of the points and their demand change over time, hence it is called a dynamic problem. A new solution method is used to solve the models, in which expected values of the coordinates of the points and their demand are assessed by using the Monte Carlo simulation. Thus, the problem is converted into a deterministic one. The linear and deterministic type of the model, which is originally non-linear is implemented in Python's Pulp library and in this way the generated benchmarks are solved. Information about how benchmarks are derived and the obtained solutions are presented.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.33544/mjmie.v5i2.179pt_PT
dc.identifier.issn2517-4258
dc.identifier.urihttp://hdl.handle.net/10400.14/36289
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/pt_PT
dc.subjectSectorizationpt_PT
dc.subjectDynamic problemspt_PT
dc.subjectStochastic modellingpt_PT
dc.subjectMonte Carlo simulationpt_PT
dc.subjectOptimizationpt_PT
dc.titleA Monte Carlo simulation-based approach to solve dynamic sectorization problempt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage51pt_PT
oaire.citation.issue2pt_PT
oaire.citation.startPage45pt_PT
oaire.citation.titleMapta Journal of Mechanical and Industrial Engineering (MJMIE)pt_PT
oaire.citation.volume5pt_PT
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT

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