Application of fuzzy distributions on project management

Mon, Don‐Lin; Cheng, Ching‐Hsue; Lu, Han-Chung

doi:10.1016/0165-0114(94)00309-u

Cited by 51 publications

(30 citation statements)

References 8 publications

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“…According to one of the problems with their method, different α values produced different bounds for project completion time, and thus there were not any effective way to show the activities of critical path in networks. Mon et al (1995) sought to solve this problem assuming that the duration of each activity was a positive fuzzy number. Using α-cut, they defined an interval for each activity duration.…”

Section: Introductionmentioning

confidence: 99%

Using fuzzy logic to improve the project time and cost estimation based on Project Evaluation and Review Technique (PERT)

Habibi¹,

Birgani²,

Koppelaar³

et al. 2018

10.5267/j.jpm

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Among different factors, correct scheduling is one of the vital elements for project management success. There are several ways to schedule projects including the Critical Path Method (CPM) and Program Evaluation and Review Technique (PERT). Due to problems in estimating durations of activities, these methods cannot accurately and completely model actual projects. The use of fuzzy theory is a basic way to improve scheduling and deal with such problems. Fuzzy theory approximates project scheduling models to reality by taking into account uncertainties in decision parameters and expert experience and mental models. This paper provides a step-bystep approach for accurate estimation of time and cost of projects using the Project Evaluation and Review Technique (PERT) and expert views as fuzzy numbers. The proposed method included several steps. In the first step, the necessary information for project time and cost is estimated using the Critical Path Method (CPM) and the Project Evaluation and Review Technique (PERT). The second step considers the duration and cost of the project activities as the trapezoidal fuzzy numbers, and then, the time and cost of the project are recalculated. The duration and cost of activities are estimated using the questionnaires as well as weighing the expert opinions, averaging and defuzzification based on a step-by-step algorithm. The calculating procedures for evaluating these methods are applied in a real project; and the obtained results are explained.

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Section: Introductionmentioning

confidence: 99%

Using fuzzy logic to improve the project time and cost estimation based on Project Evaluation and Review Technique (PERT)

Habibi¹,

Birgani²,

Koppelaar³

et al. 2018

10.5267/j.jpm

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show abstract

“…There are vast literatures devoted to research about the fuzzy PERT theories and applications. Mon et al (1995) • The operation time of each activity is seldom available even using fuzzy number in construction project. If decision makers directly assume operation times of activities to plan the scheduling of project, the result of scheduling may be imprecise.…”

Section: Introductionmentioning

confidence: 99%

A fuzzy pert approach to evaluate plant construction project scheduling risk under uncertain resources capacity

Hsiau

Lin

2009

JIEM

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A plant construction project always involves lots of activities. Precise information about the activities duration is unfortunately unavailable due to the uncertain resources capacity. The fuzzy program evaluation and review technique (PERT) has been widely applied to solve the fuzzy project scheduling problem. This paper presents an extended fuzzy PERT approach with four major improvement aspects to support the construction project scheduling management: 1) Evaluate operation fuzzy times based on available working volumes, resources quantity and fuzzy capacity of resources, 2) Adopting a maximal i levelcut method to compare the fuzzy precedent activities times to determine the reasonable earliest starting times of each activity, 3) Using fuzzy algebra method instead of fuzzy subtraction method to compute the fuzzy latest starting times and 4) Developing a project scheduling risk index (PSRI) to assist the decision maker to evaluate the project scheduling risk. Simulations experiments are conducted and demonstrated satisfactory results.

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“…This implies that the activity time may be ill defined. Therefore, in recent years many researchers have developed the fuzzy PERT (FPERT) by combining the concepts of fuzzy-set theory with PERT to solve the project planning and control problem (Chen & Chang, 2001;Dubois et al, 2003;Fatemi Ghomi & Rabbani, 2003;Hapke & Sloinski, 1994;Hapke & Sloinski, 1996;Kuchta, 2001, Mon et al, 1995Fatemi Ghomi & Teimouri, 2002). In FPERT, a fuzzy number can be used to express the duration time of each activity.…”

mentioning

confidence: 99%

“…Under this condition, we cannot indicate the critical activities and paths effectively in a project network. Mon et al, (1995) Chanas % Zielinski (2001) assume that the operation time of each activity can be represented as crisp, interval or fuzzy number. The operation procedure of this method like as the method of Mon et al, (1995).…”

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confidence: 99%

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The Feasibility Analysis of Available-to-Promise in Supply-Chain System under Fuzzy Environment

Chen¹

2008

Supply Chain

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Application of fuzzy distributions on project management

Cited by 51 publications

References 8 publications

Using fuzzy logic to improve the project time and cost estimation based on Project Evaluation and Review Technique (PERT)

Using fuzzy logic to improve the project time and cost estimation based on Project Evaluation and Review Technique (PERT)

A fuzzy pert approach to evaluate plant construction project scheduling risk under uncertain resources capacity

The Feasibility Analysis of Available-to-Promise in Supply-Chain System under Fuzzy Environment

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