Possibility and necessity constraints and their defuzzification—A multi-item production-inventory scenario via optimal control theory

2007 ◽  
Vol 177 (2) ◽  
pp. 882-896 ◽  
Author(s):  
K. Maity ◽  
M. Maiti
2019 ◽  
Vol 3 (1) ◽  
pp. 47
Author(s):  
Paulo Nocera Alves Junior ◽  
Wilfredo F. Yushimito ◽  
Jorge Pereira Gude ◽  
Isotilia Costa Melo ◽  
Daisy Aparecida do Nascimento Rebelatto

Aim: If companies manage their inventory inefficiently, inventory costs can increase significantly due to shortages, overstocking, and risks. Inventory management is critical for company’s success which, in turn, impacts on countries’ development. This paper aims to investigate the efficiency of inventory control systems of companies from Brazil and Chile through Optimal Control Theory and Data Envelopment Analysis.Design/Research methods: Data was collected from Chilean and Brazilian companies covering different industries in which both countries are mostly dependent A new approach using OCT and DEA is applied for dealing with inventory, production, and demand in Dynamic DEA model to benchmark companies’ production-inventory systems.Conclusions/findings: The results show efficient companies among evaluated industries. Such companies are related mainly to Brazilian commerce and Chilean exports. Based on findings, it was possible to identify patterns and relationship among companies and its inventory management.Originality/value of the article: This paper fills a gap in studies including demand, production, and inventory in Dynamic DEA by using OCT to forewarn unrealistic results and observing companies’ behavior. Besides that, this approach is particularly useful for developing countries in this context, determining benchmarks for the most inefficient firms in each sector.Implications of the research: The results show (1) which companies should focus more on improving inventory management, (2) which companies should be used as benchmarks, and (3) it highlights the reasons of different performance of companies in each country.Limitations of the research: For future research, it is suggested including variables and analysis of social and environmental impacts.


Author(s):  
Paulo Nocera Alves Jr. ◽  
Elmer Pablo Tito Cari

This chapter addresses some issues related to some Optimal Control Theory (OCT) problems (for example, impossible analytical solution because of an unsolvable integral, or punctual parameters that were unrealistic). It is proposed the use of OCT as a benchmarking tool to analyze inventory control systems to enhance parameters. In addition, the application of methods and heuristics in solving these problems is also described. These methods are discussed and applied in calculating the production and inventory functions using data of accounting variables of USA and Brazil companies, available in the Economatica software data base. Eventually, the results are compared and some recommendations about the advantages and disadvantages of each method are accomplished.


2014 ◽  
Vol 2 ◽  
pp. 86-86
Author(s):  
Miki U. Kobayashi ◽  
Nobuaki Aoki ◽  
Noriyoshi Manabe ◽  
Tadafumi Adschiri

2020 ◽  
pp. 108473
Author(s):  
Xiuquan Liu ◽  
Zhaowei Liu ◽  
Xianglei Wang ◽  
Nan Zhang ◽  
Na Qiu ◽  
...  

2020 ◽  
Vol 8 (1) ◽  
pp. 168-179
Author(s):  
Jead M. Macalisang ◽  
Mark L. Caay ◽  
Jayrold P. Arcede ◽  
Randy L. Caga-anan

AbstractBuilding on an SEIR-type model of COVID-19 where the infecteds are further divided into symptomatic and asymptomatic, a system incorporating the various possible interventions is formulated. Interventions, also referred to as controls, include transmission reduction (e.g., lockdown, social distancing, barrier gestures); testing/isolation on the exposed, symptomatic and asymptomatic compartments; and medical controls such as enhancing patients’ medical care and increasing bed capacity. By considering the government’s capacity, the best strategies for implementing the controls were obtained using optimal control theory. Results show that, if all the controls are to be used, the more able the government is, the more it should implement transmission reduction, testing, and enhancing patients’ medical care without increasing hospital beds. However, if the government finds it very difficult to implement the controls for economic reasons, the best approach is to increase the hospital beds. Moreover, among the testing/isolation controls, testing/isolation in the exposed compartment is the least needed when there is significant transmission reduction control. Surprisingly, when there is no transmission reduction control, testing/isolation in the exposed should be optimal. Testing/isolation in the exposed could seemingly replace the transmission reduction control to yield a comparable result to that when the transmission reduction control is being implemented.


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