Application of Fuzzy theory to project scheduling with critical path method

In this paper, we analyze the project scheduling problem using fuzzy theory. The crisp activity durations are modeled as triangular fuzzy sets. Fuzzy forward pass was carried out to determine fuzzy activity earliest start, fuzzy event earliest time and fuzzy activity earliest finish times. In order...

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Main Authors: MH Oladeinde, DO Itsisor
Format: Article
Language:English
Published: Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP) 2013-07-01
Series:Journal of Applied Sciences and Environmental Management
Online Access:https://www.Ajol.Info/index.php/jasem/article/view/90482
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author MH Oladeinde
DO Itsisor
author_facet MH Oladeinde
DO Itsisor
author_sort MH Oladeinde
collection DOAJ
description In this paper, we analyze the project scheduling problem using fuzzy theory. The crisp activity durations are modeled as triangular fuzzy sets. Fuzzy forward pass was carried out to determine fuzzy activity earliest start, fuzzy event earliest time and fuzzy activity earliest finish times. In order to overcome the occurrence of negative fuzzy numbers which occurs in fuzzy backward pass using fuzzy subtraction, we apply a modified fuzzy backward pass technique which uses a recursive relation to obtain the fuzzy event latest; fuzzy activity latest start and fuzzy activity latest finish times. Through numerical examples, we determine the criticality of the project activities and hence the critical path(s). The results obtained using the present method is compared with those obtained using other methods used in literature
format Article
id doaj-art-59ade43813fc4ea8950628b81f73b9fd
institution Kabale University
issn 2659-1502
2659-1499
language English
publishDate 2013-07-01
publisher Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)
record_format Article
series Journal of Applied Sciences and Environmental Management
spelling doaj-art-59ade43813fc4ea8950628b81f73b9fd2025-02-08T19:52:11ZengJoint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)Journal of Applied Sciences and Environmental Management2659-15022659-14992013-07-01171Application of Fuzzy theory to project scheduling with critical path methodMH OladeindeDO ItsisorIn this paper, we analyze the project scheduling problem using fuzzy theory. The crisp activity durations are modeled as triangular fuzzy sets. Fuzzy forward pass was carried out to determine fuzzy activity earliest start, fuzzy event earliest time and fuzzy activity earliest finish times. In order to overcome the occurrence of negative fuzzy numbers which occurs in fuzzy backward pass using fuzzy subtraction, we apply a modified fuzzy backward pass technique which uses a recursive relation to obtain the fuzzy event latest; fuzzy activity latest start and fuzzy activity latest finish times. Through numerical examples, we determine the criticality of the project activities and hence the critical path(s). The results obtained using the present method is compared with those obtained using other methods used in literaturehttps://www.Ajol.Info/index.php/jasem/article/view/90482
spellingShingle MH Oladeinde
DO Itsisor
Application of Fuzzy theory to project scheduling with critical path method
Journal of Applied Sciences and Environmental Management
title Application of Fuzzy theory to project scheduling with critical path method
title_full Application of Fuzzy theory to project scheduling with critical path method
title_fullStr Application of Fuzzy theory to project scheduling with critical path method
title_full_unstemmed Application of Fuzzy theory to project scheduling with critical path method
title_short Application of Fuzzy theory to project scheduling with critical path method
title_sort application of fuzzy theory to project scheduling with critical path method
url https://www.Ajol.Info/index.php/jasem/article/view/90482
work_keys_str_mv AT mholadeinde applicationoffuzzytheorytoprojectschedulingwithcriticalpathmethod
AT doitsisor applicationoffuzzytheorytoprojectschedulingwithcriticalpathmethod