scholarly journals Accuracy of Semi-Analytical and Numerical Approaches in the Evaluation of Serial Bernoulli Production Lines

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1461
Author(s):  
Viktor Ložar ◽  
Neven Hadžić ◽  
Tihomir Opetuk ◽  
Vedran Slapničar

The manufacturing industry has a great impact on the economic growth of countries. It is, therefore, crucial to master the skills of the production system by mathematical tools that enable the evaluation of the production systems’ performance measures. Four mathematical approaches toward the modeling of steady-state behavior of serial Bernoulli production lines were considered in this study, namely, the analytical approach, the finite state method, the aggregation procedure, and numerical modeling. The accuracy of the performance measures determined using the semi-analytical methods and the numerical approach was validated using numerous theoretical examples and the results obtained using the analytical model. All of the considered methods demonstrated relevant reliability, regardless of the different theoretical backgrounds.

2021 ◽  
Vol 15 (3) ◽  
pp. 417-421
Author(s):  
Viktor Ložar ◽  
Tihomir Opetuk ◽  
Hrvoje Cajner ◽  
Neven Hadžić ◽  
Jerolim Andrić

Production lines are the backbone of the manufacturing industry. To gain the best profit out of a line it is necessary to design each line using the production system engineering. Therefore, three approaches can be used, the numerical, the analytical, and the semi-analytical approach. The aggregation method, finite state method, and the numerical approach are statistically compared concerning the analytical approach using the STATISTICA software. We analyzed the interaction between the input data and the output data for the finite state method in an illustrative example, using a full factorial design and the Design Expert software


2020 ◽  
Vol 14 (3) ◽  
pp. 360-364
Author(s):  
Viktor Ložar ◽  
Filip Abdulaj ◽  
Tihomir Opetuk ◽  
Neven Hadžić ◽  
Hrvoje Cajner

Production lines can be designed by an analytical, semi-analytical, or numerical approach. This paper gives a brief introduction to the analytical approach of a single buffer line, the aggregation method, and the analytical approach of a multi-buffer line. An automotive paint shop production system will be used as a figurative example to compare the aggregation method and the recently developed analytical approach for a multi-buffer line. A discussion at the end will show the advantages and disadvantages of the analytical approach.


2020 ◽  
Vol 10 (18) ◽  
pp. 6602
Author(s):  
Neven Hadžić ◽  
Viktor Ložar ◽  
Filip Abdulaj

Research on the performance measure evaluation of Bernoulli serial production lines is presented in this paper. Important aspects of the modeling and analysis using transition systems within the Markovian framework are addressed, including analytical and approximation methods. The “dimensionality curse” problems of the large scale and dense transition systems in the production system engineering field are pointed out as one of the main research and development obstacles. In that respect, a new analytically-based finite state method is presented based on the proportionality property of the stationary probability distribution across the systems’ state space. Simple and differentiable expressions for the performance measures including the production rate, the work-in-process, and the probabilities of machine blockage and starvation are formulated. A finite state method’s accuracy and applicability are successfully validated by comparing the obtained results against the rigorous analytical solution.


2006 ◽  
Vol 2006 ◽  
pp. 1-30 ◽  
Author(s):  
Shu-Yin Chiang

This paper develops the procedure for the analysis of the production systems with quality control devices. The evaluation of the production system requires an expression for the system performance measures as functions of the machine and buffer parameters. This paper presents a method for evaluating these functions and illustrates their practical utility using a case study at a production plant.


2022 ◽  
Vol 14 (2) ◽  
pp. 697
Author(s):  
Chen-Yang Cheng ◽  
Shu-Fen Li ◽  
Chia-Leng Lee ◽  
Ranon Jientrakul ◽  
Chumpol Yuangyai

In the solar silicon manufacturing industry, the production time for crystal growth is ten times longer than at other workstations. The pre-processing time at the ingot-cutting station causes work-in-process (WIP) accumulation and an excessively long cycle time. This study aimed to find the most effective production system for reducing WIP accumulation and shortening the cycle time. The proposed approach considered pull production systems, and the response surface methodology was adopted for performance optimization. A simulation-based optimization technique was used for determining the optimal pull production system. The comparison between the results of various simulated pull production systems and those of the existing solar silicon manufacturing system showed that a hybrid production system in which a kanban station was installed before the bottleneck station with a CONWIP system incorporated for the rest of the production line could reduce the WIP volume by 26% and shorten the cycle time by 16% under the same throughput conditions.


Work ◽  
2021 ◽  
pp. 1-11
Author(s):  
Duan Pingli ◽  
Bala Anand Muthu ◽  
Seifedine Nimer Kadry

BACKGROUND: The manufacturing industry undergoes a new age, with significant changes taking place on several fronts. Companies devoted to digital transformation take their future plants inspired by the Internet of Things (IoT). The IoT is a worldwide network of interrelated physical devices, which is an essential component of the internet, including sensors, actuators, smart apps, computers, mechanical machines, and people. The effective allocation of the computing resources and the carrier is critical in the industrial internet of Things (IIoT) for smart production systems. Indeed, the existing assignment method in the smart production system cannot guarantee that resources meet the inherently complex and volatile requirements of the user are timely. Many research results on resource allocations in auction formats which have been implemented to consider the demand and real-time supply for smart development resources, but safety privacy and trust estimation issues related to these outcomes are not actively discussed. OBJECTIVES: The paper proposes a Hierarchical Trustful Resource Assignment (HTRA) and Trust Computing Algorithm (TCA) based on Vickrey Clarke-Groves (VGCs) in the computer carriers necessary resources to communicate wirelessly among IIoT devices and gateways, and the allocation of CPU resources for processing information at the CPC. RESULTS: Finally, experimental findings demonstrate that when the IIoT equipment and gateways are valid, the utilities of each participant are improved. CONCLUSION: This is an easy and powerful method to guarantee that intelligent manufacturing components genuinely work for their purposes, which want to integrate each element into a system without interactions with each other.


The growth in world trade and hence the demand for shipping is expected to continue into the 1980s despite the present temporary recession. Many countries in the Mediterranean and Pacific area and in South and Central America see shipbuilding as their way to start along the road to industrial development, and will be favoured by good climatic and labour conditions which can now be joined to imported modern technology. Conventional shipbuilding will therefore grow rapidly in these countries. Western countries will be able to preserve their shipbuilding industries by keeping in the forefront ol technical development and by a rigorous examination of designs from the production point of view, in order to reduce the labour content, and make the management and control simpler. This means changing from a largely labour intensive craft industry to a capital intensive, manufacturing industry. In order to sustain this type of industry long runs of similar ships, standard components, modulai constructions much of it in production lines, using group technology, will be the pattern in the 1980s. Much research and development is already devoted to these techniques and the industry is already at the early stages of changing over to this type of working.


2020 ◽  
Vol 11 (1) ◽  
pp. 054
Author(s):  
José Antonio De Miranda Lammoglia ◽  
Nilson Brandalise ◽  
Cecilia Toledo Hernandez

The scenario of global competitiveness demands more and more of the organizations the search for continuous improvement. For survival, in the face of adverse market conditions, modern production management strategies are essential to make production processes increasingly efficient, lean and sustainable, minimizing losses in their production systems. In this sense, when thinking about changes in production lines, in search of improvements in their process, criteria that provide Benefits, Opportunities, Costs and Risks (BOCR) should be considered. In this way, managers and executives should rely on tools and methods that allow them to guide their decisions in a clear way. The objective of this work is to apply a method of Decision Making with Multiple Criteria to the alternatives of investment projects in production lines in Lean Manufacturing concept. As a general result, it was possible to observe the applicability of the AHP BOCR method for the decision-making case involving several criteria and subcriteria for choosing the Lean investment project in the steel environment, the preferred alternative being the discontinuity of the production line 1 and the absorption of their respective production volume by production lines 2 and 3 through investments in them.


Author(s):  
Emanuele Reccia ◽  
Antonella Cecchi ◽  
Gabriele Milani

The problem of masonry arch bridges load carrying capacity is studied by means of a coupled FEM/DEM 2D approach. The numerical model relies into a triangular discretization of the domain with embedded crack elements that activate whenever the peak strength is reached. The proposed approach can be regarded as a combination between Finite Elements allowing for the reproduction of elastic strain into continuum and DEM, suitable to model frictional cohesive behavior exhibited by masonry structures even at very low levels of external loads. The aforementioned numerical approach is applied to masonry arch bridges interacting with infill. A preliminary validation of the procedure is addressed for the prediction of the masonry arches limit state behavior where the stones are supposed infinite resistant and plastic hinges can occur exclusively on mortar joints, modeled as cohesive frictional interfaces. The sensitivity of the infill role varying mechanical properties of the infill is extensively discussed.


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