Optimization Control of the Bullwhip Effect in Supply Chain Inventory

2014 ◽  
Vol 945-949 ◽  
pp. 3187-3190
Author(s):  
Hai Dong ◽  
Jin Hua Liu ◽  
Liang Yu Liu
Keyword(s):  
Mathematical Model ◽  
Supply Chain ◽  
Control Theory ◽  
Inventory Control ◽  
Pid Controller ◽  
Bullwhip Effect ◽  
Control Gain ◽  
Optimization Control ◽  
Suitable Combination ◽  
The Mathematical Model

The bullwhip effect was caused by fuzzy demand among the enterprises. In order to reduce this effect, control theory was applied to solve the inventory in supply chain. Firstly, inventory control in supply chain and the bullwhip effect was researched. Secondly, a kind of proportional integral differential (PID) controller was developed for inventory control in a three-level supply chain, and the mathematical model of the PID controller for inventory control was presented. Finally, the results show that the PID controller can evidently alleviate the bullwhip effect and inventory fluctuations under the suitable combination of control gain.

scholarly journals Analisis Bullwhip Effect pada Rantai Supply dengan Model Q Menggunakan Pendekatan Hadley-Within di PT. XYZ Medan

2019 ◽  
Vol 2 (4) ◽  
Author(s):  
Martha Purnama Sari Panggabean ◽  
Dimas Akmarul Putera ◽  
Nursafwah
Keyword(s):  
Supply Chain ◽  
Inventory Control ◽  
Distribution System ◽  
Control Policy ◽  
Bullwhip Effect ◽  
Product Distribution ◽  
Soft Drinks ◽  
Inventory Cost ◽  
Inventory Control Policy ◽  
Q Model

PT. XYZ adalah perusahaan yang bergerak didalam pembuatan kemasan botol minum. Pendistribusian produk dilakukan PT XYZ menggunakan data historis berdasarkan jumlah permintaan pada tahun 2013 dan 2014. Data tersebut menunjukkan bahwa terjadinya perbedaan hasil. Tahun 2013 memiliki jumlah permintaan yang lebih rendah dari tahun 2014. Informasi terdapat bahwa perlu dilakukan pengevaluasian karena didalam rantai produksi terdapat bullwhip effect. Terdapat nilai bullwhip Effect menujukan bahwa nilai bullwhip effect untuk distributor Indomaret, Carrefour, dan rantai manufakturnya masing-masing sebesar 0,5303; 0,2967, dan 0,5114. Usulan perbaikan dapat diatasi yaitu dengan model Q yang berfungsi menggendalikan persediaan pada rantai pasok dengan metodeHadley-Within. Perhitungan pengendalian persediaan untuk distributor Indomaret, Carrefour, dan rantai manufakturnya masing-masing sebesar 1,0721; 1,100; dan 1,0714. Hasil dari perhitungan menujukan bahwa terjadi keseimbangan antara penjual dan pembeli sehingga biaya pun dapat dihematkan pada PT XYZ.   PT. XYZ Medan is manufacturing company that produce soft drinks of beverages in containers. In the product distribution system at PT. XYZ Medan, found that the number of orders based on the result of forecasting in 2013 lower than actual orders at distrbutor and manufacturer in 2014. Distorsion of information on this order can evaluate the indication of bullwhip effect in supply chain. Based on the result calculation of bullwhip effect, found that the value of bullwhip effect for Indomaret distributor, Carrefour, and supply chain of manufacturer each of 0,5303; 0,2967, and 0,5114. Proposed improvements to predominate bullwhip effect that is by doing inventory control policy with Q model using Hadley-Within approach. The value of bullwhip effect aftre doing inventory control policy for Indomaret distributor, Carrefour, and supply chain of manufacturer each of 1,0721; 1,100; dan 1,0714. The value of bullwhip effect which is close to one shows that the variance between the number of the order and the number of the demand nearly balanced so as to save the inventory cost at PT. XYZ Medan.

An Efficient Approach to Define the Input Stimuli to Suppress Epileptic Seizures Described by the Epileptor Model

2020 ◽  
Vol 30 (11) ◽  
pp. 2050062
Author(s):  
João Angelo Ferres Brogin ◽  
Jean Faber ◽  
Douglas Domingues Bueno
Keyword(s):  
Nonlinear Dynamics ◽  
Mathematical Model ◽  
Exact Solution ◽  
Feedback Control ◽  
Epileptic Seizures ◽  
Neural Dynamics ◽  
Practical Application ◽  
Control Gain ◽  
The World ◽  
The Mathematical Model

Epilepsy affects about 70 million people in the world. Every year, approximately 2.4 million people are diagnosed with epilepsy, two-thirds of them will not know the etiology of their disease, and 1% of these individuals will decease as a consequence of it. Due to the inherent complexity of predicting and explaining it, the mathematical model Epileptor was recently developed to reproduce seizure-like events, also providing insights to improve the understanding of the neural dynamics in the interictal and ictal periods, although the physics behind each parameter and variable of the model is not fully established in the literature. This paper introduces an approach to design a feedback-based controller for suppressing epileptic seizures described by Epileptor. Our work establishes how the nonlinear dynamics of this disorder can be written in terms of a combination of linear sub-models employing an exact solution. Additionally, we show how a feedback control gain can be computed to suppress seizures, as well as how specific shapes applied as input stimuli for this purpose can be obtained. The practical application of the approach is discussed and the results show that the proposed technique is promising for developing controllers in this field.

scholarly journals Study and Development of Robust Control Systems for Educational Drones

2021 ◽  
pp. 301-308
Author(s):  
Maria Letizia Corradini ◽  
Gianluca Ippoliti ◽  
Giuseppe Orlando ◽  
Simone Terramani
Keyword(s):  
Mathematical Model ◽  
Robust Control ◽  
Control Theory ◽  
Sliding Mode Control ◽  
Informal Education ◽  
Sliding Mode ◽  
Educational Robotics ◽  
Altitude Control ◽  
The Mathematical Model ◽  
Robust Control Systems

AbstractThis paper considers the problem of attitude and altitude control of quadrotors using the sliding mode control theory. The mathematical model of the quadrotor is derived using the Euler-Newton formalism. The sliding-mode is applied to the Parrot Mambo minidrone, which is a strong example of bringing educational robotics to formal (MATLAB, Python, JavaScript), non-formal (Tynker, Blockly, Swift Playground) and informal education. The control considered shows good performance and enhanced robustness.

scholarly journals Demand forecasting and information platform in tourism

Open Physics ◽  
2017 ◽  
Vol 15 (1) ◽  
pp. 247-252 ◽  
Author(s):  
Yue Li ◽  
Qi-Jie Jiang
Keyword(s):  
Mathematical Model ◽  
Supply Chain ◽  
Information Processing ◽  
Information Asymmetry ◽  
Demand Forecasting ◽  
Bullwhip Effect ◽  
Information Platform ◽  
On Demand ◽  
Processing Ability ◽  
Tourism Supply Chain

AbstractInformation asymmetry and the bullwhip effect have been serious problems in the tourism supply chain. Based on platform theory, this paper established a mathematical model to explore the inner mechanism of a platform’s influence on stakeholders’ ability to forecast demand in tourism. Results showed that the variance of stakeholders’ demand predictions with a platform was smaller than the variance without a platform, which meant that a platform would improve predictions of demand for stakeholders. The higher information-processing ability of the platform also had other effects on demand forecasting. Research on the inner logic of the platform’s influence on stakeholders has important theoretical and realistic value. This area is worthy of further study.

scholarly journals Development of a Quantitative Model for the Analysis of the Functioning of Integrated TextileSupply Chains

Mathematics ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 929 ◽  
Author(s):  
Hua ◽  
Memon ◽  
Shah ◽  
Shakhrukh
Keyword(s):  
Mathematical Model ◽  
Supply Chain ◽  
Supply Chains ◽  
Cost Reduction ◽  
Quantitative Model ◽  
Transport Processes ◽  
Integrated Supply Chain ◽  
The Mathematical Model ◽  
Textile Products

The article is devoted to the development of a mathematical model for the analysis of functioning interferonogenic supply chain of textile products. A mathematical model and method of analysis of the functioning of an integrated supply chain of textile products are proposed. A mathematical model contributing to cost reduction in the supply chain of textile products is recommended. The results show that the mathematical model of optimization of placement textile enterprises promotes the decrease of the expenses in the supply chain. The designated model will not only be helpful for managers and enterprises related to textiles, but also for other fields dealing with logistics and supply chains in planning and organization of transport processes.

MODELING AND SIMULATION OF AUTOMOBILE ANTI-LOCK BRAKING SYSTEM BASED ON SIMULINK

2012 ◽  
Vol 11 (02) ◽  
pp. 99-106 ◽  
Author(s):  
XIAOKAN WANG ◽  
QIONG WANG
Keyword(s):  
Mathematical Model ◽  
Modeling And Simulation ◽  
Pid Controller ◽  
Control Module ◽  
Braking Performance ◽  
Braking System ◽  
The Mathematical Model

This article establishes the mathematical model of automobile anti-lock braking system (ABS) in the Simulink environment and tracks the research and simulation of the ABS established mathematical model, which is based on the control module with the PID controller. From the simulation curve, we can verify automobile ABS with good braking performance and direction maneuverability.

A Ball-Balancing System for Demonstration of Basic Concepts in the State-Space Control Theory

1974 ◽  
Vol 11 (4) ◽  
pp. 367-376 ◽  
Author(s):  
V. Jørgensen
Keyword(s):  
Mathematical Model ◽  
Control Theory ◽  
Physical Properties ◽  
Graduate Education ◽  
State Space ◽  
The State ◽  
Basic Concepts ◽  
Conditions Of Stability ◽  
The Mathematical Model

The Ball-balancing Systems is intended to demonstrate the basic concepts in the state-space control theory in the graduate education. The physical properties of the system are stated and the mathematical model is evaluated. Conditions of stability are discussed.

Anti-Swing Control of Container Crane Based on CMAC-PID Controller

2012 ◽  
Vol 503-504 ◽  
pp. 1256-1259
Author(s):  
Ya Li Su ◽  
Xi Huai Wang ◽  
Jian Mei Xiao
Keyword(s):  
Mathematical Model ◽  
Pid Control ◽  
Pid Controller ◽  
Container Crane ◽  
Compound Control ◽  
Simulation Results ◽  
Control Principle ◽  
The Mathematical Model

This paper establishes the mathematical model of the system of container crane, and then introduced the CMAC and PID compound control principle and characteristics, and PID control of the position of the container crane , CMAC-PID control of the position of the container crane, and CMAC-PID control of container crane's position and angle. The simulation results show that the crane based on the CMAC and PID compound control has a very good positioning and anti-swing effect.

scholarly journals Milk runs model with overtime: application to cluster supply chain

2015 ◽  
Vol 14 (4) ◽  
pp. 139-147
Author(s):  
Michał Tomczak ◽  
Robert Bucoń
Keyword(s):  
Mathematical Model ◽  
Supply Chain ◽  
Outcome Analysis ◽  
Small Scale ◽  
Construction Sites ◽  
Construction Enterprises ◽  
Distribution Centre ◽  
The Mathematical Model ◽  
First Time ◽  
Organizational Principles

Paper identifies obstacles limiting functioning and development of small and medium construction enterprises. It also includes a description of cluster supply chain (CSC) idea as a suggested solution to some of the problems resulting from the small scale of company activities. One of more important issues of every distribution centre, i.e. portions of deliveries smaller than truck capacity for particular consumers, is also discussed. This problem was formulated for the first time in dairy industry, therefore, it was called milk runs. Moreover, the authors of this paper presented the outcome analysis of survey carried out among construction engineers and managers. This study aimed at determining organizational principles for logistic centre working with CSC framework. The mathematical model depicting milk runs deliveries with overtime consideration, done for many construction sites within a distribution centre is presented hereunder. This model may be potentially used to optimize distribution centres working within cluster supply chain framework.

scholarly journals Vibration Control of Load for Jib Crane by using PID Controller

2020 ◽  
Vol 27 (3) ◽  
pp. 89-96
Author(s):  
Fares Abbas ◽  
Tawfik Al Massoud
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Vibration Control ◽  
Mechanical Model ◽  
Pid Controller ◽  
Integrated Production ◽  
Production Processes ◽  
Matlab Program ◽  
The Impact ◽  
The Mathematical Model

Jib Crane is a type of machinery used mainly to raise or lower materials or heavy objects and to carrying them to other places. It is used in construction and in the installation of large machines such as wind turbines and harbors, and is an essential component of integrated production processes. Because of the large loads carried by these cranes it became necessary to know their behavior before investment by studying their movements and studying the vibration of payloads and work to reduce them as much as possible and thus prolong the life of the crane components and increase their efficiency. Hence the need to design a control system to dampen load vibration to reduce the impact of dynamics affecting the parts of the crane. In this research, the mathematical model similar to the mechanical model of the crane was prepared and solving the model using MATLAB program, and then design a proportional integral differential controller for jib crane

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