scholarly journals Critical Chains and Its Randomness Study

2021 ◽  
Author(s):  
Xiaokang Han ◽  
Wenzhou Yan ◽  
Ting Liu
Keyword(s):  
Resource Constraints ◽  
Critical Path ◽  
Buffer Zone ◽  
Academic Community ◽  
Critical Path Method ◽  
Direct Construction ◽  
Project Construction ◽  
Chain Sequence ◽  
And Control ◽  
Critical Chain

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.

scholarly journals Generalized Resource-Constrained Critical Path Method to Improve Sustainability in Construction Project Scheduling

2020 ◽  
Vol 12 (21) ◽  
pp. 8918
Author(s):  
Kyunghwan Kim
Keyword(s):  
Construction Projects ◽  
Resource Constraints ◽  
Critical Path ◽  
Construction Project ◽  
Sustainable Construction ◽  
Prototype System ◽  
Critical Path Method ◽  
Resource Constrained ◽  
Additional Time ◽  
Multiple Resource

Delays by limited supply of resources are common in many construction projects and may cause serious monetary disputes between project participants. Since the dispute resolution may require unnecessary additional time and cost, preventing delays in advance is an important goal in sustainable construction project management. To prevent delays, a feasible plan must be implemented, which reflects limited resources and provides reliable activity information. For this purpose, this study proposes a generalized resource-constrained critical path method (eRCPM). It consists of three steps to identify resource-dependent activity relationships (resource links) based on the result of resource-constrained scheduling (RCS) under multiple resource constraints. Compared to the existing resource-constrained critical path methods, the eRCPM has the advantage of identifying resource links irrespective of the applied RCS technique because it is based on the result rather than the RCS process. Further, this study presents a Microsoft (MS) Excel-based half-automated prototype system that is linked using file export and import functions to both P6 and MS Project software packages. The detailed process of the eRCPM algorithm and the operation process of the prototype system are described using an example schedule. Through a case study, it was demonstrated that eRCPM appropriately identifies the necessary resource links and provides reliable total floats.

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
Keyword(s):  
Fuzzy Numbers ◽  
Critical Path ◽  
Successful Implementation ◽  
Critical Path Method ◽  
Time Duration ◽  
New Approach ◽  
Planning And Control ◽  
Complex Projects ◽  
And Control ◽  
First Time

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.

The use of enhanced positional weight method for constrained resources project scheduling

1999 ◽  
Vol 26 (2) ◽  
pp. 242-247 ◽  
Author(s):  
Paul Wing Ming Tam ◽  
Ekambaram Palaneeswaran
Keyword(s):  
Project Scheduling ◽  
Construction Projects ◽  
Resource Constraints ◽  
Critical Path ◽  
Technical Note ◽  
Critical Path Method ◽  
Unrealistic Assumption ◽  
Heuristic Technique ◽  
Weight Method ◽  
Positional Weight

Scheduling of construction projects is normally performed with the critical path method (CPM). The popular CPM/PERT network techniques are based on the assumption that sufficient resources will be available when needed to complete all project activities on schedule. This unrealistic assumption can lead to ineffective resource usage and project delays. For scheduling of the project activities with resource constraints, other algorithms have to be used. This technical note first outlines the suitability of ranked positional weight method (RPWM), a heuristic resource scheduling method, to construction project scheduling. It then focuses on a new heuristic technique, the enhanced positional weight method (EPWM), which is an improved version of the RPWM. Some interesting comparisons between the results given by Primavera, Microsoft Project, RPWM, and EPWM are also presented.Key words: ranked positional weight method, enhanced positional weight method, and critical path method.

Buffer Sizing Methods to Compare Critical Chain Project Management with Critical Path

2016 ◽  
Vol 7 (3) ◽  
pp. 74-87 ◽  
Author(s):  
Mohammed Shurrab ◽  
Ghaleb Abbasi
Keyword(s):  
Project Management ◽  
Standard Deviation ◽  
Critical Path ◽  
Sum Of Squares ◽  
Critical Path Method ◽  
Body Of Knowledge ◽  
Buffer Sizing ◽  
Project Plan ◽  
Critical Chain Project Management ◽  
Critical Chain

Critical Chain Project Management (CCPM) provided a tangible progress to the Project Management Body of Knowledge. The critical chain project management (CCPM) differs from the traditional Critical Path Method (CPM) which includes never changing resource dependencies. CCPM improves the project plan by aggregating uncertainty into buffers at the end of activity paths. In this research, one hundred twenty random projects were generated and analyzed using Microsoft Project software according to the traditional CPM and the CCPM once using the sum of squares (SSQ) method and another using the cut & past (C&PM) method. CCPM-SSQ method revealed an average savings of 13% and 43% in duration and cost, with a standard deviation of 21 and 11 for duration and cost respectively. While the CCPM-C&PM method revealed an average overestimation of about 2% in duration and 43% savings in cost, with a standard deviation of 25 and 11 for duration and cost respectively.

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

Fuzzy Systems ◽  
2017 ◽  
pp. 1690-1707
Author(s):  
N. Ravi Shankar ◽  
B. Pardha Saradhi ◽  
S. Suresh Babu
Keyword(s):  
Fuzzy Numbers ◽  
Critical Path ◽  
Successful Implementation ◽  
Critical Path Method ◽  
Time Duration ◽  
New Approach ◽  
Planning And Control ◽  
Complex Projects ◽  
And Control ◽  
First Time

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.

CRASH PROGRAM JALUR KRITIS DENGAN CARA OVERLAPPING (STUDY REVIEW)

SIGMA TEKNIKA ◽  
2019 ◽  
Vol 2 (1) ◽  
pp. 14
Author(s):  
Hery Irwan
Keyword(s):  
Project Management ◽  
Lead Time ◽  
Critical Path ◽  
Project Managers ◽  
Critical Path Method ◽  
Study Review ◽  
And Control ◽  
Process Constraints

Project management in the length of time of completion or better known as lead time is the time that has been agreed between the project implementers in this project managers and customers as the owner of the project. Time-based project implementers will make planning, scheduling and control of existing resources with the purpose of the length of the project in accordance with the agreed upon. In the process constraints will always occur which cause the delay activities that become part of the overall project. The delay that occurs on the critical path if not controlling and acceleration would cause backwards in time from the time of completion of the project. This will cause losses for both the executor fines for the delay as well as for the project owner to lose an opportunity of reception of the project late from agreements. This paper contains the possibility of doing a program crash or the acceleration by means of melaukukan overlapping. For sure the acceleration by means of overlapping could not immediately be implemented in all activities of the project. The decision to do overlapping largely determined by the knowledge and experience of the person in charge of the project.  Keywords: Crash program, overlapping, critical path method.

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