State minimisation-based loop handling for criticalpath analysis

Project implementation can be successful when existing resources are used effectively and efficiently. One attempt to use the critical path (CPM) method is a project scheduling method that uses project planning analysis and fixed tim e estimates for each activity. In other words, this method can help solve the scheduling problem by determining the timing of the longest production process schedules in the project so that the company can effectively and efficiently determine how long a project can be completed. Optimization must be done to restore the project duration to the actual schedule. The data processing results are performed to determine the project control methods applied by the CV. NBW. ID and obtain a comparison of completion time between scheduling using the CPM (Critical Path Method) method and actual CV results. NBA. ID. To shorten the life of the project, it can be used CPM. The result of using the program on the project with the CPM method is that the project may be completed with a duration of 108 hours or approximately 13 days for one project at a cost of Rs 2.255.903,00 with a time difference of 18 hours.

This paper proposes a critical path analysis algorithm that considers the effects of the signal transition time. First, the proposed algorithm finds the possible minimum transition time and the possible maximum transition time. Then, within the range, it extracts the maximum delay of each gate and computes the PERT delay. Finally, it performs depth first search under searching condition that the sum of a current searching path and a PERT delay is larger than that of critical path evaluated already. Experimental results show that the proposed algorithm finds the correct critical paths of the ISCAS 85 benchmark circuits where the existing critical path analysis methods fail. Experimental results also show that the complexity of the proposed algorithm is linear with the circuit size.

Fast, accurate, and effective performance analysis is essential for the design of modern processor architectures and improving application performance. Recent trends toward highly concurrent processors make this goal increasingly difficult. Conventional techniques, based on simulators and performance monitors, are ill-equipped to analyze how a plethora of concurrent events interact and how they affect performance. Prior research has shown the utility of critical path analysis in solving this problem. This analysis abstracts the execution of a program with a dependence graph. With simple manipulations on the graph, designers can gain insights into the bottlenecks of a design. This paper extends critical path analysis to understand the performance of a next-generation, high-ILP architecture. The TRIPS architecture introduces new features not present in conventional superscalar architectures. We show how dependence constraints introduced by these features, specifically the execution model and operand communication links, can be modeled with a dependence graph. We describe a new algorithm that tracks critical path information at a fine-grained level and yet can deliver an order of magnitude (30x) improvement in performance over previously proposed techniques. Finally, we provide a breakdown of the critical path for a select set of benchmarks and show an example where we use this information to improve the performance of a heavily-hand-optimized program by as much as 11%.

Assessment of critical path analyses of the relationship between permeability and electrical conductivity of pore networks

For disaster relief to be effective, responses must be quick and adaptable to the circumstances. The critical path method is a project management technique that assists in maintaining construction project timelines and limiting delays. This study applies the sequential approach of the critical path method to the manufacturing and logistical phases of post-disaster temporary housing to reduce delays that can lead to prolonged sheltering and homelessness. A nodal analysis from the critical path reveals the attributes (manufacturing or logistical), such as door and window cutouts or cabinet installation, that can lead to delays in the actual allocation and occupation of units. The resulting critical path analysis model determines approximately 49 days are required to manufacture and allocate a modular unit design and discusses potential pathways of proactive manufacturing and fast-tracking to maintain current expected sheltering periods of 21 days for displaced populations. These diagrams and discussions can benefit decision-making personnel to determine which tasks in the temporary housing manufacturing process require prioritization to reduce timelines and consequently reduce the potential of prolonged displacement following displacement events.

The authors present the design, implementation, and testing of the critical path analysis technique using the IPS performance measurement tool for parallel and distributed programs. They create a precedence graph of a program's activities (program activity graph) with the data collected during the execution of a program. The critical path, the longest path in the program activity graph, represents the sequence of the program activities that take the longest time to execute. Various algorithms are developed to track the critical path from this graph. The events in this path are associated with the entities in the source program, and the statistical results are displayed on the basis of the hierarchical structure of the IPS. The test results from the measurement of sample programs show that the knowledge of the critical path in a program's execution helps users identify performance problems and better understand the behavior of a program.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

Critical Path Method (CPM) is a technique used to plan and organize project schedules by identifying the critical path which is one of the most contributing aspects to project success. This research aims to formulate the completion time of the consultant office building construction project using the CPM method. Data collection techniques in this study were carried out through various activities, including field observations, interviews, and literature studies. The results showed that the application of CPM in project planning and scheduling can determine the critical path and identify the shortest duration for project completion. CPM enabled the acceleration of project completion from 592 days to 469 days, saving 123 days. This study confirms that the quality of project planning and control significantly affects the successful completion of the project. The findings support the use of CPM for time efficiency improvement on similar construction projects and recommend further research on the application of CPM on various other types of projects.

Project scheduling is one of the crucial aspects in project management. By conducting project scheduling, a better understanding of the relationships between each activity and the overall project can be obtained, allowing for the identification of activities that can be prioritized, activities that can be performed simultaneously, and activities that are interdependent. This research aims to identify the critical path and determine the duration of project completion using the Critical Path Method (CPM) for the construction project of the New Classroom Building at SMK Negeri 1, located at Jl. Ki Hajar Dewantara No. 17, KARATON, Luwuk District, Banggai Regency. The research method employed is a quantitative descriptive approach, involving the analysis and presentation of data in numerical form to objectively describe the project conditions. Primary and secondary data are used as the main sources of information in this study. The data analysis tool applied is the Critical Path Method (CPM), a network analysis technique (network planning) that functions to determine the critical path in project execution. The research results indicate that the critical path generated by the CPM scheduling method for the New Classroom Building Construction Project at SMK Negeri 1 Luwuk is through activities A-B-C-D-G-H-K-N-Q-R-W-AE-AF-AK-AP. Based on the calculations using the CPM method, the duration for completing the New Classroom Building Construction Project at SMK Negeri 1 Luwuk is 169 working days.

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.&nbsp; This has led to the development of fuzzy CPM.&nbsp; In this paper, we use a Lexicographic ordering method for ranking fuzzy numbers to a critical path method in a fuzzy project network, where the duration time of each activity is represented by a trapezoidal fuzzy number. The proposed method is compared with fuzzy CPM based on different ranking methods of fuzzy numbers. The comparison reveals that the method proposed in this paper is more effective in determining the activity criticalities and finding the critical path. &nbsp;&nbsp;This new method is simple in calculating fuzzy critical path than many methods proposed so far in literature. &nbsp;

The main goal of this article is to conceive an algorithm for a software application designed to solve many power engineering optimization problems applying the critical path method (CPM). The classical solution for these problems is found via the schedule graph (the Gantt method), which presents a series of shortcomings: it does not highlight clearly the interdependencies between operations, it does not explain the temporal coincidences, it does not indicate the alternatives of declaring the various operations, it does not have a rigorous mathematical foundation, it does not allow any studies of optimization. All the shortcomings are cleared when using the representation of the program via a graph, where the values of the arcs are the durations of the component operations, and applying the critical path method (CPM), which mainly consists in determining a path of a maximum value between two peaks of that graph. Using CPM offers a great number of advantages: it offers a clear image of the evolution in time of the program, it allows the decreasing of the total duration of implementation for the program without condensing the component operation, it highlights the operations that directly determine the duration of implementation of the program, as well as those that allow the redistribution of the resources and the reduction of cost; it offers the alternative of rapid evaluation of the consequences of certain delays in realizing certain operations (without totally rebuilding the graph and the calculations); it can be easily implemented on a computer, having a solid mathematical base. Applying CPM and optimizing the program is achieved via the following steps: a) setting the list of the component operations, of their characteristics and representing the program via graphs; b) setting the graphs in order; c) determining the critical path (CP) and its value; d) calculating the time stocks related to the realization of the component operation (using the Ford and the Bellman-Kalaba algorithms); e) optimizing the program as from the length, the cost and the necessary resources points of view. For illustrating the algorithm and the computing program we propose an application from power engineering: a 400 kV electrical overhead line section construction. In the first part of the paper we present the application as a critical path problem. In the second part, we determine the critic path in a program graph and time reserves. In the third part, we present a representative numerical application. In the fourth part, it is described the computing program.

The critical path method (CPM) is a project modelling algorithm developed in the 1950s for scheduling project activities, it is used to determine the critical path through the calculation of three parameters thus, slack, earliest event, latest event times for each activity. In this paper, we demonstrate how to use Tawanda's non-iterative optimal tree algorithm for shortest route problems (TA) to determine the critical path(s). We have also compared TA with the original critical path method (CPM) and the modified Dijksra's algorithm for critical path method in a project network (MDA). However, the study revealed that TA can compute the critical path more effectively since it is also effective in project networks with k-possible critical paths, moreover, it does not make use of the slack, earliest, and latest time parameters, since these calculations consume more time.

Design space exploration of microprocessor is still a challenging task for processor designers. Due to the huge design space, it is hard to determine the optimal configuration of microarchitecture parameters to satisfy the target performance and power requirements within limited time at the early stage of processor design. In this paper, a Critical Path Analysis directed Design Space Exploration (CPADSE) methodology for design space exploration of microprocessors is proposed. In CPADSE, a dependence graph model is constructed using the profile information generated during the program simulation. Then the critical paths of the dependence graph model are computed and patterns of the critical path are identified. The microarchitecture parameters mostly affecting processor`s performance or other metrics can be identified using the Plackett-Burman design method, which is always referenced as sensitivity analysis. Then the result of critical path analysis and sensitivity analysis is further used to guide the selection of search direction in both SA-CPADSE and TB-CPADSE design space search algorithms, which are proposed in this paper. Experiment result shows that for the design space exploration on SPEC 2000 benchmarks, SA-CPADSE obtains 2x speedup over baseline design space exploration algorithm SA-DSE. Additionally, TB-CPADSE on average obtains 4.3x speedup over SA-CPADSE and 7x speedup over SA-DSE. At the end of this paper, we have a detailed discussion about how to extend CPADSE methodology to design space exploration of multicore processors.

Addition is a timing critical operation in today's floating point units. In order to develop faster processing, an end-around carry (EAC) was proposed as a part of fused-multiply-add unit which performs multiplication followed by addition [5]. The proposed EAC adder was also investigated through other prefix adders in FPGA technology as a complete adder [6]. In this thesis, we propose a 128-bit standalone adder with parallel prefix end around carry logic and conditional sum blocks to improve the critical path delay and provide flexibility to design with different adder architectures. In previous works, CLA logic was used for EAC logic. Using a modified structure of a parallel prefix 2n-1 adder provides flexibility to the design and decreases the length of the carry path. After the architecture is tested and verified, critical path is analyzed using FreePDK45nm library. Full custom design techniques are applied carefully during critical path optimization. Critical path analysis provides fast comparison of the total delay among different architectures without designing the whole circuit and a simpler approach to size the transistors for lowest delay possible. As a final step, datapath is designed as a recurring bitslice for fast layout entry. The results show that the proposed adder shows 142ps delay, 2.42mW average power dissipation, and 3,132 sq. micron area assuming there is not much routing area overhead in the estimated area.

The project scheduling establish the time sequence of various activities which has a certain time limit, this means that the project must be completed before or exactly at the specified time. The delay effect and result in delays to the completion of the overall project. The purpose of study is to analyze the scheduling of the project to find out how long a project can be completed, determine the critical path as well as optimize the time of execution of the project. Research methods used for the project implementation analysis of Clubhouse building construction using critical path method (CPM) and program evaluation and review technique (PERT). Results of the discussion and calculations obtained that the completion of the project still in accordance with the schedule that has been determained, with the critical path method (CPM) is 321 days, and the program evaluation and review technique (PERT), time most quickly resolved is 312 days (value of Z= 0,22%), the slowest time is 339 days (value of Z= 99,87%) and the most probable time is 325 days (value of Z= 49,20%). Be aware of the activities which constitute the critical path is the activities: A, B1, B2, B3, B4, C1, C2, C3, C4, C6, C5, C7, C8, D, and obtained the optimization of project completion time with the CPM method is 48 days, PERT method, time most quickly is 57 days,the slowest time is 30 days, and the most possible time is 44 days.

The Precedence Diagram Method (PDM) is widely used for modeling large and complex construction projects characterized by non-linear execution logic, overlapping activities, and multiple precedence constraints. Despite involving standardized and recurrent operations (e.g., formwork, reinforcement, concreting), construction schedules often exhibit highly complex logic that challenges traditional Critical Path Method (CPM) analysis. In particular, PDM networks with multiple relationships complicate critical path identification and float determination, while current commercial scheduling tools impose restrictive logic and limited support for activity splitting. This study proposes a novel object-oriented algorithm and a supporting software tool that integrates automated multi-activity splitting, unrestricted handling of precedence types, and segment-level criticality identification within a unified scheduling framework. The proposed approach transforms complex PDM networks into equivalent Finish-to-Start-based structures solvable using conventional forward and backward pass algorithms, while strictly preserving the original scheduling logic. Results demonstrate that the proposed method improves analytical transparency, scheduling flexibility, and precision in critical path and float analysis, including the identification of partially critical activity segments. The proposed framework provides project managers with a practical and scalable solution to optimize productivity and reduce project duration in complex construction scheduling scenarios.