A new approach for solving fuzzy critical path problem using analysis of events

Zareei, Abalfazl; Zaerpour, Farzad; Bagherpour, Morteza; Noora, Abbas Ali; Hadi-Vencheh, A.

doi:10.1016/j.eswa.2010.06.018

Cited by 28 publications

(12 citation statements)

References 18 publications

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“…Fuzzy sets theory provides a framework for the mathematical treatment of subjective evaluations. In this sense, many project scheduling problems with fuzzy activity durations have been addressed in the literature; see, for example, References . Frequently, there is a need to shorten the project completion time to meet a required deadline.…”

Section: Illustrative Examplesmentioning

confidence: 99%

“…In this sense, many project scheduling problems with fuzzy activity durations have been addressed in the literature; see, for example, References. [43][44][45][46][47] Frequently, there is a need to shorten the project completion time to meet a required deadline. To accomplish this objective, some project activities must be accelerated by allocating additional resources (eg, fuel, transport, equipment, personnel, materials, etc).…”

Section: Lr Lrmentioning

confidence: 99%

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An epsilon‐constraint method for fully fuzzy multiobjective linear programming

2020

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Linear ranking functions are often used to transform fuzzy multiobjective linear programming (MOLP) problems into crisp ones. The crisp MOLP problems are then solved by using classical methods (eg, weighted sum, epsilon‐constraint, etc), or fuzzy ones based on Bellman and Zadeh's decision‐making model. In this paper, we show that this transformation does not guarantee Pareto optimal fuzzy solutions for the original fuzzy problems. By using lexicographic ranking criteria, we propose a fuzzy epsilon‐constraint method that yields Pareto optimal fuzzy solutions of fuzzy variable and fully fuzzy MOLP problems, in which all parameters and decision variables take on LR fuzzy numbers. The proposed method is illustrated by means of three numerical examples, including a fully fuzzy multiobjective project crashing problem.

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Section: Illustrative Examplesmentioning

confidence: 99%

Section: Lr Lrmentioning

confidence: 99%

An epsilon‐constraint method for fully fuzzy multiobjective linear programming

2020

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“…Elizabeth and Sujatha [10] proposed ranking methods to identify the fuzzy critical path. Zareei et al [30] proposed linear programming models to calculate earliest and latest events time in the project scheduling problem. Shankar et al [24] developed a fuzzy CPM based on ranking fuzzy numbers.…”

Section: Introductionmentioning

confidence: 99%

A new fuzzy group multi-criteria decision making method with an application to the critical path selection

Mehlawat

Gupta

2015

Int J Adv Manuf Technol

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In this paper, we propose a new fuzzy group multi-criteria decision making method and apply it to determine the critical path in a project network. The criteria used here are time (expected duration), cost, risk, and quality of the project activities that are considered critical in project management. As each criterion has its independent level of importance in the critical path selection, the weights of the project criteria are also considered in the analysis. Considering that the information in terms of various project activities and criteria weights are often incomplete and/or uncertain in real-world situations, the essential information in terms of the criteria and project activities are obtained using triangular fuzzy numbers and/or linguistic variables that are mapped to triangular fuzzy numbers, wherever appropriate. The proposed method involves fuzzy evaluation based on the fuzzy information of the possible project paths on each criterion leading to the strength and weakness index scores of the project paths. We define a measure of criticality termed as the total performance score of each project path obtained using its strength and weakness index scores. The path that has the highest measure of criticality is selected as the critical path. A numerical illustration is provided to demonstrate working of the proposed methodology. Further, a case study from manufacturing engineering industry is also presented to better justify the applicability and potentials of the proposed methodology. A comparison with closely related fuzzy multi-criteria decision methods for the critical path selection is done to analyze the performance of the proposed methodology.

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“…With the development of the fuzzy set theory proposed by Zadeh [11], fuzzy critical path problems have been considered by several researchers such as references [12][13][14][15][16][17][18][19][20]. Among them, Chen and Hsueh [12] explored an ordinary method in order to resolve the problem of critical path method if task durations were assumed as fuzzy numbers.…”

Section: Introductionmentioning

confidence: 99%

“…Amiri and Golozari [14] developed an effective method which considered four types of factors to determine the longest path, in which the parameter of each factor was characterized by fuzzy number. Zareei et al [15] gave a novel project scheduling algorithm on solving fuzzy longest path issue, where task duration was assumed as fuzzy number. Li and Dai [16] modeled a risk aversion problem about insuring critical path in fuzzy decision systems.…”

Section: Introductionmentioning

confidence: 99%

Optimizing insuring critical path problem under uncertainty based on GP-BPSO algorithm

2017

Scientia Iranica

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Abstract. This study considers a novel class of bi-level fuzzy random programming problem about insuring critical path. In this study, each task duration is assumed as a fuzzy random variable and follows the known possibility and probability distributions. Because there doesn't exist an effective way to solve the problem directly, we first reduce the chance constraint to two equivalent random subproblems under two kinds of different risk attitudes. Then, we may use sample average approximation (SAA) method for reformulating the equivalent random programming subproblems as their approximation problems. Since the approximation problems are also hard to be solved, we explore a hybrid genotype phenotype binary particle swarm optimization algorithm (GP-BPSO) for resolving two equivalent subproblems, where dynamic programming method (DPM) is used for finding the solution in the lower level programming. At last, a series of simulation examples are performed for demonstrating the validity of the hybrid GP-BPSO compared with the hybrid BPSO algorithm.

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A new approach for solving fuzzy critical path problem using analysis of events

Cited by 28 publications

References 18 publications

An epsilon‐constraint method for fully fuzzy multiobjective linear programming

An epsilon‐constraint method for fully fuzzy multiobjective linear programming

A new fuzzy group multi-criteria decision making method with an application to the critical path selection

Optimizing insuring critical path problem under uncertainty based on GP-BPSO algorithm

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