A tropical extremal problem with nonlinear objective function and linear inequality constraints

We consider a multidimensional extremal problem formulated in terms of tropical mathematics. The problem is to minimize a nonlinear objective function, which is defined on a finite-dimensional semimodule over an idempotent semifield, subject to linear inequality constraints. An efficient solution approach is developed which reduces the problem to that of solving a linear inequality with an extended set of unknown variables. We use the approach to obtain a complete solution to the problem in a closed form under quite general assumptions. To illustrate the obtained results, a two-dimensional problem is examined and its numerical solution is given.Comment: The 6th WSEAS European Computing Conference (ECC'12), Prague, Czech Republic, September 24-26, 2012; Advances in Computer Science: Proc. 6th WSEAS European Computing Conf. (ECC '12), WSEAS Press. ISBN 978-1-61804-126-5; RACES 5, ISSN 1790-510

DEVELOPMENT OF A SUPPLIER SEGMENTATION METHOD FOR INCREASED RESILIENCE AND ROBUSTNESS: A STUDY USING AGENT BASED MODELING AND SIMULATION

Supply chain management is a complex process requiring the coordination of numerous decisions in the attempt to balance often-conflicting objectives such as quality, cost, and on-time delivery. To meet these and other objectives, a focal company must develop organized systems for establishing and managing its supplier relationships. A reliable, decision-support tool is needed for selecting the best procurement strategy for each supplier, given knowledge of the existing sourcing environment. Supplier segmentation is a well-established and resource-efficient tool used to identify procurement strategies for groups of suppliers with similar characteristics. However, the existing methods of segmentation generally select strategies that optimize performance during normal operating conditions, and do not explicitly consider the effects of the chosen strategy on the supply chain’s ability to respond to disruption. As a supply chain expands in complexity and scale, its exposure to sources of major disruption like natural disasters, labor strikes, and changing government regulations also increases. With increased exposure to disruption, it becomes necessary for supply chains to build in resilience and robustness in the attempt to guard against these types of events. This work argues that the potential impacts of disruption should be considered during the establishment of day-to-day procurement strategy, and not solely in the development of posterior action plans. In this work, a case study of a laser printer supply chain is used as a context for studying the effects of different supplier segmentation methods. The system is examined using agent-based modeling and simulation with the objective of measuring disruption impact, given a set of initial conditions. Through insights gained in examination of the results, this work seeks to derive a set of improved rules for segmentation procedure whereby the best strategy for resilience and robustness for any supplier can be identified given a set of the observable supplier characteristics

Introduction to the Modeling and Analysis of Complex Systems

Keep up to date on Introduction to Modeling and Analysis of Complex Systems at http://bingweb.binghamton.edu/~sayama/textbook/! Introduction to the Modeling and Analysis of Complex Systems introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science. Complex systems are systems made of a large number of microscopic components interacting with each other in nontrivial ways. Many real-world systems can be understood as complex systems, where critically important information resides in the relationships between the parts and not necessarily within the parts themselves. This textbook offers an accessible yet technically-oriented introduction to the modeling and analysis of complex systems. The topics covered include: fundamentals of modeling, basics of dynamical systems, discrete-time models, continuous-time models, bifurcations, chaos, cellular automata, continuous field models, static networks, dynamic networks, and agent-based models. Most of these topics are discussed in two chapters, one focusing on computational modeling and the other on mathematical analysis. This unique approach provides a comprehensive view of related concepts and techniques, and allows readers and instructors to flexibly choose relevant materials based on their objectives and needs. Python sample codes are provided for each modeling example. This textbook is available for purchase in both grayscale and color via Amazon.com and CreateSpace.com.https://knightscholar.geneseo.edu/oer-ost/1013/thumbnail.jp

Futures of a Complex World : Proceedings of the Conference “Futures of a Complex World”, 12–13 June 2017, Turku, Finland

”Futures of a Complex World” conference 2017 was a success by all standards. We got record amount of participants - 330 experts from 29 countries - with fascinating array of topics from future of agriculture to new modeling tools. This publication, based on papers presented in the conference, is a token of the fascinating variety of approaches we can adopt while penetrating the future with the tools of our research. As such, it also represents in a splendid way the complexity of our world, embedded with grand challenges as well as fascinating new developments. Complexity science itself proves us that we need particularly two capacities to thrive in the ever more complex world: on the one hand we need to build more resilience into our systems, on the other, we should create new capacities to transform, if necessary. Both aspects are well represented in the articles of this publications

FUTURES OF A COMPLEX WORLD Proceedings of the Conference “Futures of a Complex World”, 12–13 June 2017, Turku, Finland

"Futures of a Complex World” conference 2017 was a success by all standards. We got record amount of participants - 330 experts from 29 countries - with fascinating array of topics from future of agriculture to new modeling tools. This publication, based on papers presented in the conference, is a token of the fascinating variety of approaches we can adopt while penetrating the future with the tools of our research. As such, it also represents in a splendid way the complexity of our world, embedded with grand challenges as well as fascinating new developments. Complexity science itself proves us that we need particularly two capacities to thrive in the ever more complex world: on the one hand we need to build more resilience into our systems, on the other, we should create new capacities to transform, if necessary. Both aspects are well represented in the articles of this publications.</p

The Fifth National Technology Transfer Conference and Exposition

No abstract availabl