scholarly journals Interval network analysis in project management

2020 ◽  
Vol 7 (2) ◽  
pp. 99-113
Author(s):  
Radhakrishnan S ◽  
Saikeerthana D

This paper deals with an analysis of Critical Path Method (CPM) and Programme Evaluation Review Technique (PERT) in Project Network. Here, we solve the PERT and CPM methodology using intervals and we determine the critical path and project duration of the network. We can also convert the fuzzy parameters (triangular and trapezoidal fuzzy numbers) into intervals using α − cuts. After which, we calculate the project duration and critical path. To illustrate this, numerical examples are provided.

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.


1989 ◽  
pp. 1-4
Author(s):  
Che Mat Ismail ◽  
Ghazali Sulong ◽  
Safie Mat Yatim

This article describes the important element involved in project management, especially the construction works. The methods are based on the network analysis techniques. The designed package is capable to perform the scheduling of the project's activities and the calculation of various costs involved. Besides those,the package also permits the end user to print or display various type of outputs and they are menu driven. Keyword: network analyis, activity scheduling, CPM (Critical Path Method), cost analysis


Execution of any project with optimum duration, cost, quality and risk is very significant for project administrators in recent very competitive commercial situation. Sometimes it is not possible to have detailed earlier statistics about project criteria. In such situations, estimation of different Decision makers are considered in linguistic variables and altered into triangular fuzzy numbers as fuzzy numbers have ability to deal with vagueness. In this paper, we frame a new multi-mode multi objective critical path problem and suggest a possibilistic methodology to find critical path for a project where three decision makers’ views are considered as three modes of execution in terms of linguistic variables. We have formulated model of multiple mode in project network problem and find its solution with fuzzy programming approach with exponential membership and linear membership function. The proposed approach is useful to solve multi-mode project management problem which calculates optimal critical path according to four criteria- time, cost, risk and quality with three activities modes of execution in fuzzy environment.


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.


This paper proposes a simple approach to critical path analysis in a project network with activity times being intervals and which are converted into various Type-2 fuzzy quantities. The idea is based on generalized type-2 trapezoidal, hexagonal and octagonal fuzzy numbers and its ranking. The explicit form of membership functions of the type-2 fuzzy activity times is not required in the proposed approach. Moreover, the method is very simple and the numerical example is given for demonstrating and comparing the proposed approach with generalized type-2 trapezoidal, hexagonal and octagonal fuzzy numbers through proposed ranking function.


2020 ◽  
Vol 9 (1) ◽  
pp. 44-52
Author(s):  
Gunaedy Utomo ◽  
Irna Hendriyani ◽  
Siti Nor Aida

This research purposes to evaluate the implementation of the drainage project in Jl. Mulawarman, Gg. Arjuna, Sepinggan. This research uses the CPM (Critical Path Method) and the PERT (Project Evaluation and Review Technique). Based on the budget plan, time schedule, weekly report, documentation and interview found that the result of the CPM with two critical paths are work activities. The first critical path are: Activity A (Mobilization and Demobilization), Activity C (Landfilling activity), Activity F (Concrete works K-175, Ready Mix). The second critical path are: Activity A (Mobilization and Demobilization), Activity E (Begisting work for black channels), and Activity G (Plain U24 Concrete Iron Works). Meanwhile, the result of PERT has 49% chance to be completed with the project duration of 18 weeks.


2021 ◽  
Author(s):  
Ahmed Elsayed ◽  
Nazihah Ahmad ◽  
Ghassan Malkawi

Abstract Almost every existing method for solving trapezoidal fully fuzzy Sylvester matrix equation restricts the coefficient matrix and the solution to be positive fuzzy numbers only. In this paper, we develop new analytical methods to solve a trapezoidal fully fuzzy Sylvester matrix equation with restricted and unrestricted coefficients. The trapezoidal fully fuzzy Sylvester matrix equation is transferred to a system of crisp equations based on the sign of the coefficients by using Ahmd arithmetic multiplication operations between trapezoidal fuzzy numbers. The constructed method not only obtain a simple crisp system of linear equation that can be solved by any classical methods but also provide a widen the scope of the trapezoidal fully fuzzy Sylvester matrix equation in scientific applications. Furthermore, these methods have less steps and conceptually easy to understand when compared with existing methods. To illustrate the proposed methods numerical examples are solved.


2019 ◽  
Vol 1 (1) ◽  
pp. 28-36
Author(s):  
Junafuji Oka ◽  
Dwi Kartikasari

Project scheduling is one of the elements of planning outcomes, which can provide information about project schedules and project progress in terms of resource performance in terms of cost, labor, equipment and materials and project duration plan with time efficiency for project completion. Critical Path Method (CPM) and Project Evaluation Review Technic (PERT) are two project scheduling methods that use different approaches in the process. In making a project, the researcher assumes that the initial success of a project should begin with the planning and preparation of the correct phase and the systematic stage


-This research article presents a new defuzzification formula for deciding the critical path in a proposed network. Here we introduce an octagonal fuzzy numbers for representing the duration time. It is shown that it is better to use octagonal fuzzy numbers towards determining the critical path. A numerical example is given and the proposed formula as compared with the existing fuzzy numbers.


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