Fuzzy Critical Path Method Based on a New Approach of Ranking Fuzzy Numbers using Centroid of Centroids

2013 ◽  
Vol 3 (2) ◽  
pp. 16-31 ◽  
Author(s):  
N. Ravi Shankar ◽  
B. Pardha Saradhi ◽  
S. Suresh Babu

The Critical Path Method (CPM) is useful for planning and control of complex projects. The CPM identifies the critical activities in the critical path of an activity network. The successful implementation of CPM requires the availability of clear determined time duration for each activity. However, in practical situations this requirement is usually hard to fulfil since many of activities will be executed for the first time. Hence, there is always uncertainty about the time durations of activities in the network planning. This has led to the development of fuzzy CPM. In this paper, a new approach of ranking fuzzy numbers using centroid of centroids of fuzzy numbers to its distance from original point is proposed. The proposed method can rank all types of fuzzy numbers including crisp numbers with different membership functions. The authors apply the proposed ranking method to develop a new fuzzy CPM. The proposed method is illustrated with an example.

Fuzzy Systems ◽  
2017 ◽  
pp. 1690-1707
Author(s):  
N. Ravi Shankar ◽  
B. Pardha Saradhi ◽  
S. Suresh Babu

The Critical Path Method (CPM) is useful for planning and control of complex projects. The CPM identifies the critical activities in the critical path of an activity network. The successful implementation of CPM requires the availability of clear determined time duration for each activity. However, in practical situations this requirement is usually hard to fulfil since many of activities will be executed for the first time. Hence, there is always uncertainty about the time durations of activities in the network planning. This has led to the development of fuzzy CPM. In this paper, a new approach of ranking fuzzy numbers using centroid of centroids of fuzzy numbers to its distance from original point is proposed. The proposed method can rank all types of fuzzy numbers including crisp numbers with different membership functions. The authors apply the proposed ranking method to develop a new fuzzy CPM. The proposed method is illustrated with an example.


2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
P. Jayagowri ◽  
G. Geetharamani

Network analysis is a technique which determines the various sequences of activities concerning a project and the project completion time. The popular methods of this technique which is widely used are the critical path method and program evaluation and review techniques. The aim of this paper is to present an analytical method for measuring the criticality in an (Atanassov) intuitionistic fuzzy project network. Vague parameters in the project network are represented by (Atanassov) intuitionistic trapezoidal fuzzy numbers. A metric distance ranking method for (Atanassov) intuitionistic fuzzy numbers to a critical path method is proposed. (Atanassov) Intuitionistic fuzzy critical length of the project network is found without converting the (Atanassov) intuitionistic fuzzy activity times to classical numbers. The fuzzified conversion of the problem has been discussed with the numerical example. We also apply four different ranking procedures and we compare it with metric distance ranking method. Comparison reveals that the proposed ranking method is better than other raking procedures.


2021 ◽  
Author(s):  
James Mathew ◽  
Philippe Lefevre ◽  
Frederic Crevecoeur

Savings have been described as the ability of healthy humans to relearn a previously acquired motor skill faster than the first time, which in the context of motor adaptation suggests that the learning rate in the brain could be adjusted when a perturbation is recognized. Alternatively, it has been argued that apparent savings were the consequence of a distinct process that instead of reflecting a change in the learning rate, revealed an explicit re-aiming strategy. Based on recent evidence that feedback adaptation may be central to both planning and control, we hypothesized that this component could genuinely accelerate relearning in human adaptation to force fields during reaching. Consistent with our hypothesis, we observed that upon re-exposure to a previously learned force field, the very first movement performed by healthy volunteers in the relearning context was better adapted to the external disturbance, and this occurred without any anticipation or cognitive strategy because the relearning session was started unexpectedly. We conclude that feedback adaptation is a medium by which the nervous system can genuinely accelerate learning across movements.


2021 ◽  
Author(s):  
Xiaokang Han ◽  
Wenzhou Yan ◽  
Ting Liu

Abstract It has been widely accepted in the academic community that the Critical Chain Method (CCM) has significant advantages over the Critical Path Method (CPM) in solving the problem with resource constraints. However, this paper conducted a study on comparing the two methods of Critical Chain Method and Critical Path Method, and found that the only difference between those two methods lies in how to determine the priority of resources allocating, and on the assumption of not setting buffer zone, those two methods have no essential distinctions at all. By establishing the relationship between CCM and CPM, this paper also enriched and improved CCM to some extent, and pointed out that the buffer zone setting in CCM is merely subjective and short of scientificity. In the meantime, for the problem of unclear representation of critical chains, it proposed two ways of representing critical chains and related rules to follow. To verify the conclusion of this paper, further detailed case study of comparing CCM and CPM was performed. Affected by various uncertain factors, the project construction sequence is random, the total construction duration is random, and the critical chain is also random, so it is unable to determine how to direct construction. Aiming at the randomness of the critical chain, this article analyzed various uncertain factors of the critical chain, and on the basis of solving the critical chain sequence time, it proposed the approach to determine the completion probability of the total construction duration and control the construction of the critical chain to direct the construction, in the meantime, the inverse algorithm was adopted to determine of the construction duration under the condition of required completion probability.


2021 ◽  
Vol XXIV (1) ◽  
pp. 201-210
Author(s):  
MANEA E.

The repair and maintenance operations carried out within a shipyard are correlated with the process of ensuring and managing the resources necessary to carry out the works included in the technical specification. Resource planning is a complex issue that can be addressed from several points of view. Initially, the planning of activities is done taking into account only the analysis of the time parameter and the dependencies between activities imposed by the technological process. The practice of the activities carried out in a shipyard has demonstrated that an analysis of the necessary resources according to the existing availability is also necessary. There are many unforeseen situations that can affect both the time of work and resources (material, financial, human) thus complicating the process of planning activities. This paper proposes a way to analyze the resource requirements of a repair project based on available resources, through Critical Path Method diagrams. This provides a comparative view of the daily required profile for a particular resource associated with the project in respect to the daily available profile of the shipyard.


2021 ◽  
Vol 2021 (7) ◽  
pp. 54-74
Author(s):  
Igor MANTSUROV ◽  
◽  
Yana KHRAPUNOVA ◽  
Valeriy OMELCHENKO ◽  
◽  
...  

The aim of this article is to develop a conceptual model of the institutional analysis, planning and control comprehensive system, which, according to the authors’ point of view, has to be integrated organically into the overall system of the governmental management. The article starts with the analysis of the of the “new institutional economics” methodology’s contributions to theoretical research in the area of applied economics, with particular emphasis to developing countries, particularly to Ukraine. Then authors continue by providing an overview of the new institutional economics theory and methodology as well as their several branches. Particularly, it is described the authors’ point of view in regard to the fundamental definitions of the institutional theory. One of the article’s purposes is to outline the basic features of the institutional planning theory and to justify its interpretation in the general planning theory framework. Carrying out this task, the authors describe the existing diversity of planning theories and the main achievements of the new institutional economics in the development and implementation of planning procedures. From authors’ point of view, institutional planning is the economic theory in which planning is described as the sequence of actions of organizations or/and people responsible for planning procedures and stakeholders in order to get the immediate and final planning results. The successful implementation of such model would help the planners and stakeholders to get the results that consist in the effectiveness of the national economy and its competitiveness.


2015 ◽  
Vol 105 (04) ◽  
pp. 215-219
Author(s):  
B. Denkena ◽  
A. Georgiadis

Die Produktionsplanung und -steuerung (PPS) steht bei der Instandhaltung komplexer Produkte vor der Herausforderung, mittelfristig Entscheidungen ohne detaillierte Kenntnis des Bauteilzustandes treffen zu müssen. Je nach Bauteildiagnose sind dann kurzfristig die Fertigungskapazitäten und Lagerbestände anzupassen. Die getroffenen Entscheidungen beeinflussen die Wirtschaftlichkeit des gesamten Instandhaltungsprozesses maßgeblich. Im Rahmen des Fachbeitrags wird eine simulationsbasierte Methode vorgestellt, um die PPS in der Instandhaltung mittels Ersatzteildisposition und Reihenfolgebildung zu optimieren. Dabei werden die Entwicklung und Ergebnisse des Ansatzes zur Ersatzteildisposition beschrieben.   Production planning and control (PPC) systems concerned with maintaining complex products are faced with the challenge of making decisions without knowing the product’s condition. After the diagnosis, the production and warehouse capacities are adapted at short notice. This article presents a simulation-based method for optimizing PPC in maintenance companies. It focuses on the development and the results of a new approach for the management of spare parts.


2018 ◽  
Vol 9 (5) ◽  
pp. 669
Author(s):  
Thais Taba da Silva ◽  
Márcio Rodrigues Clementino ◽  
Adriano Maniçoba da Silva ◽  
Wilson Yoshio Tanaka ◽  
Eugenio De Felice Zampini

Entrepreneurship is hard work, especially when it comes to the creation of an innovative, ecologically correct and sustainable project, and the small entrepreneur, in addition to facing bureaucratic and fiscal obstacles, has great difficulty in running his business, planning and optimizing his production for lack structured management knowledge. This is what happens with the company studied, where the construction of an educational centre, thought to be a model of ecological and sustainable building, did not have a schedule of execution, thus becoming dependent on very short term planning, accomplished at each step, rather than a structured action as a whole. In this sense, the Critical Path Method (CPM), which uses simple estimates for the duration of the building stages and the PERT technique, was implemented among a variety of schedules and methods for planning and control of works execution. This method is suitable and simple to use by small businesses. This methodology, easy to be understood and implemented, generated benefit to the company, allowing planning, predictability and control of the works.


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