کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4619208 1339430 2010 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence of solutions to Cauchy problems for a mixed continuum-discrete model for supply chains and networks
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Existence of solutions to Cauchy problems for a mixed continuum-discrete model for supply chains and networks
چکیده انگلیسی

We consider a continuum-discrete model for supply chains based on partial differential equations. The state space is formed by a graph: The load dynamics obeys to a continuous evolution on each arc, while at nodes the good density is conserved, while the processing rate is adjusted. To uniquely determine the dynamics at nodes, the through flux is maximized, with the minimal possible processing rate change. Existence of solutions to Cauchy problems is proven. The latter is achieved deriving estimates on the total variation of the density flux, density and processing rate along a wave-front tracking approximate solution. Then the extension to supply networks is showed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 362, Issue 2, 15 February 2010, Pages 374-386