Minimization of Delay Costs in the Realization of Production Orders in Two-Machine System

The article presents a new algorithm that enables the allocation of the optimal scheduling of the production orders in the two-machine system based on the minimum cost of order delays. The formulated algorithm uses the method of branch and bounds and it is a particular generalisation of the algorith...

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Main Authors: Dylewski Robert, Jardzioch Andrzej, Dworak Oliver
Format: Article
Language:English
Published: Sciendo 2018-03-01
Series:Management Systems in Production Engineering
Subjects:
Online Access:https://doi.org/10.2478/mspe-2018-0002
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author Dylewski Robert
Jardzioch Andrzej
Dworak Oliver
author_facet Dylewski Robert
Jardzioch Andrzej
Dworak Oliver
author_sort Dylewski Robert
collection DOAJ
description The article presents a new algorithm that enables the allocation of the optimal scheduling of the production orders in the two-machine system based on the minimum cost of order delays. The formulated algorithm uses the method of branch and bounds and it is a particular generalisation of the algorithm enabling for the determination of the sequence of the production orders with the minimal sum of the delays. In order to illustrate the proposed algorithm in the best way, the article contains examples accompanied by the graphical trees of solutions. The research analysing the utility of the said algorithm was conducted. The achieved results proved the usefulness of the proposed algorithm when applied to scheduling of orders. The formulated algorithm was implemented in the Matlab programme. In addition, the studies for different sets of production orders were conducted.
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spelling doaj.art-1165b4c42a9a49b095a9c50e0f252d682022-12-22T02:55:51ZengSciendoManagement Systems in Production Engineering2450-57812018-03-01261142210.2478/mspe-2018-0002Minimization of Delay Costs in the Realization of Production Orders in Two-Machine SystemDylewski Robert0Jardzioch Andrzej1Dworak Oliver2University of Zielona GoraWest Pomeranian University of TechnologyUniversity of Zielona GoraThe article presents a new algorithm that enables the allocation of the optimal scheduling of the production orders in the two-machine system based on the minimum cost of order delays. The formulated algorithm uses the method of branch and bounds and it is a particular generalisation of the algorithm enabling for the determination of the sequence of the production orders with the minimal sum of the delays. In order to illustrate the proposed algorithm in the best way, the article contains examples accompanied by the graphical trees of solutions. The research analysing the utility of the said algorithm was conducted. The achieved results proved the usefulness of the proposed algorithm when applied to scheduling of orders. The formulated algorithm was implemented in the Matlab programme. In addition, the studies for different sets of production orders were conducted.https://doi.org/10.2478/mspe-2018-0002flexible manufacturing systemscheduling of ordersminimal costs of delaystwo-machine flow system
spellingShingle Dylewski Robert
Jardzioch Andrzej
Dworak Oliver
Minimization of Delay Costs in the Realization of Production Orders in Two-Machine System
Management Systems in Production Engineering
flexible manufacturing system
scheduling of orders
minimal costs of delays
two-machine flow system
title Minimization of Delay Costs in the Realization of Production Orders in Two-Machine System
title_full Minimization of Delay Costs in the Realization of Production Orders in Two-Machine System
title_fullStr Minimization of Delay Costs in the Realization of Production Orders in Two-Machine System
title_full_unstemmed Minimization of Delay Costs in the Realization of Production Orders in Two-Machine System
title_short Minimization of Delay Costs in the Realization of Production Orders in Two-Machine System
title_sort minimization of delay costs in the realization of production orders in two machine system
topic flexible manufacturing system
scheduling of orders
minimal costs of delays
two-machine flow system
url https://doi.org/10.2478/mspe-2018-0002
work_keys_str_mv AT dylewskirobert minimizationofdelaycostsintherealizationofproductionordersintwomachinesystem
AT jardziochandrzej minimizationofdelaycostsintherealizationofproductionordersintwomachinesystem
AT dworakoliver minimizationofdelaycostsintherealizationofproductionordersintwomachinesystem