Hybrid dynamics in large-scale logistics networks

Business & Finance, Management & Leadership, Production & Operations Management
Cover of the book Hybrid dynamics in large-scale logistics networks by Mykhaylo Kosmykov, GRIN Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Mykhaylo Kosmykov ISBN: 9783656274049
Publisher: GRIN Publishing Publication: September 18, 2012
Imprint: GRIN Publishing Language: English
Author: Mykhaylo Kosmykov
ISBN: 9783656274049
Publisher: GRIN Publishing
Publication: September 18, 2012
Imprint: GRIN Publishing
Language: English

Doctoral Thesis / Dissertation from the year 2011 in the subject Business economics - Supply, Production, Logistics, grade: Doctor of Philosophy, University of Bremen, language: English, abstract: We study stability properties of interconnected hybrid systems with application to large-scale logistics networks. Hybrid systems are dynamical systems that combine two types of dynamics: continuous and discrete. Such behaviour occurs in wide range of applications. Logistics networks are one of such applications, where the continuous dynamics occurs in the production and processing of material and the discrete one in the picking up and delivering of material. Stability of logistics networks characterizes their robustness to the changes occurring in the network. However, the hybrid dynamics and the large size of the network lead to complexity of the stability analysis. In this thesis we show how the behaviour of a logistics networks can be described by interconnected hybrid systems. Then we recall the small gain conditions used in the stability analysis of continuous and discrete systems and extend them to establish input-to- state stability (ISS) of interconnected hybrid systems. We give the mixed small gain condition in a matrix form, where one matrix describes the interconnection structure of the system and the second diagonal matrix takes into account whether ISS condition for a subsystem is formulated in the maximization or the summation sense. The small gain condition is sufficient for ISS of an interconnected hybrid system and can be applied to an interconnection of an arbitrary finite number of ISS subsystems. We also show an application of this condition to particular subclasses of hybrid systems: impulsive systems, comparison systems and the systems with stability of only a part of the state. Furthermore, we introduce an approach for structure-preserving model reduction for large-scale logistics networks. This approach supposes to aggregate typical interconnection patterns (motifs) of the network graph. Such reduction allows to decrease the number of computations needed to verify the small gain condition.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Doctoral Thesis / Dissertation from the year 2011 in the subject Business economics - Supply, Production, Logistics, grade: Doctor of Philosophy, University of Bremen, language: English, abstract: We study stability properties of interconnected hybrid systems with application to large-scale logistics networks. Hybrid systems are dynamical systems that combine two types of dynamics: continuous and discrete. Such behaviour occurs in wide range of applications. Logistics networks are one of such applications, where the continuous dynamics occurs in the production and processing of material and the discrete one in the picking up and delivering of material. Stability of logistics networks characterizes their robustness to the changes occurring in the network. However, the hybrid dynamics and the large size of the network lead to complexity of the stability analysis. In this thesis we show how the behaviour of a logistics networks can be described by interconnected hybrid systems. Then we recall the small gain conditions used in the stability analysis of continuous and discrete systems and extend them to establish input-to- state stability (ISS) of interconnected hybrid systems. We give the mixed small gain condition in a matrix form, where one matrix describes the interconnection structure of the system and the second diagonal matrix takes into account whether ISS condition for a subsystem is formulated in the maximization or the summation sense. The small gain condition is sufficient for ISS of an interconnected hybrid system and can be applied to an interconnection of an arbitrary finite number of ISS subsystems. We also show an application of this condition to particular subclasses of hybrid systems: impulsive systems, comparison systems and the systems with stability of only a part of the state. Furthermore, we introduce an approach for structure-preserving model reduction for large-scale logistics networks. This approach supposes to aggregate typical interconnection patterns (motifs) of the network graph. Such reduction allows to decrease the number of computations needed to verify the small gain condition.

More books from GRIN Publishing

Cover of the book Functional food: health care or profitable business? by Mykhaylo Kosmykov
Cover of the book Methods of social enquiry - Financing university residences by Mykhaylo Kosmykov
Cover of the book Mainiacs, shoes, and the accident that was Gettysburg. The historical role of the 20th Maine Volunteer Infantry Regiment by Mykhaylo Kosmykov
Cover of the book Religious Poetry. The Speaker's Relation to God in Donne's 'Batter my Heart' and Herbert's 'The Collar' by Mykhaylo Kosmykov
Cover of the book Borrowings from other languages as adoptions of novel cultural influences by Mykhaylo Kosmykov
Cover of the book The influence of change management practices on the implementation of Compliance Management Systems in companies by Mykhaylo Kosmykov
Cover of the book Discussion of theoretical perspectives that help to understand the phenomena of globalization by Mykhaylo Kosmykov
Cover of the book The Affordable Care Act. A Critical Review of 'Obama Care' by Mykhaylo Kosmykov
Cover of the book The Effectiveness of Habitual Residence as a Connecting Factor in the Conflict of Laws by Mykhaylo Kosmykov
Cover of the book Unterkonsumtion oder Überinvestition. Monetäre Konjunkturtheorien nach F.A. von Hayek und J.M. Keynes by Mykhaylo Kosmykov
Cover of the book The Enterprise Valuation Theory and Practice by Mykhaylo Kosmykov
Cover of the book Words and phrases that are to do with sex in literary and spoken English - Responses to offending language from the eighteenth and nineteenth century by Mykhaylo Kosmykov
Cover of the book Same Difference by Mykhaylo Kosmykov
Cover of the book Deductive, Systematic Signal Validation as Method for Efficacy Improvement in Pharmaco- and Chemo-Vigilance by Mykhaylo Kosmykov
Cover of the book Multiple Modernities and the Case of Japan by Mykhaylo Kosmykov
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy