A fundamental law relating stock and end-of-life flow in cyclic manufacturing

A stochastic inventory model of COVID-19 and robust, real-time identification of carriers at large and infection rate via asymptotic laws

“…Figs S1 and S2 in the Supplementary Material (SM), in the Web present COVID-19 national incidence profiles and SEIRD and SEAIR epidemic models. A discrete time approach is adopted in our stochastic inventory view, ( Tsiliyannis, 2016 -2019). The underlying idea is to replace the continuous time with discrete points in time, at which the system state is observed ( Schwarz et al, 2016 ).…”

“…Two novel concepts will be employed towards realistic representation of empirical data of COVID-19 evolution. (i) Inclusion of random inventory losses ( Tsiliyannis, 2016 ; 2017 ) or abandonments of queue -the phenomenon in queueing systems that customers get impatient and renege from the system, when the waiting time exceeds their tolerance - ( Feldman et al, 2008 ; Hampshire and Massey, 2010 ; Dietz, 2011 ; Kim and Ha, 2012 ; Bertsimas and Doan, 2010 ). Abandonments of queue with retrial represent customers choosing to go back to the service system after some time - ( Kapodistria, 2011 ; Dai and He 2012 ; Ata and Tongarlak, 2013 ).…”

“…Having presented the stochastic inventory model, reproducing pragmatic data, it is time to present the identification method, which exploits the fact that the entry rate to HCUs, E t , is known. The method is based on a recent result ( Tsiliyannis, 2016 ) which relates U, a and E asymptotically under random losses and non-stationary, distributed exit, E t : where θ t is the mean time (population average) spent as CaL of the patients in E t , that is, of patients who are exiting CaL and entering HCUs in the beginning of time period t ( θ t =mean duration of sojourn in the group of CaL of all members of E t ) η t , is the mean time (population average) of alive CaL ( η t =mean duration as CaL of all alive members of U t at the end of period t ). It can be monitored as the mean time of carrying the virus by symptomatic carriers stand alone, during ongoing tests on the general population.…”

A literature review on circular economy adoption in the manufacturing sector

“…Remanufacturing (Ponte et al, 2019); (Sitcharangsie et al, 2019); (Hasegawa et al, 2019); (Charnley, F., Tiwari, D., Hutabarat, W., Moreno, M., Okorie, O., Tiwari, 2019); (Nakajima et al, 2019); (Liu et al, 2018); (Bradley et al, 2018); ; (S. ; (Low and Ng, 2018); (Xiao et al, 2018); (Atlason et al, 2017); (Zhou et al, 2017); (Jensen and Remmen, 2017); (Tolio et al, 2017a); (Shahbazi et al, 2016); (Tsiliyannis, 2016); (Zhang et al, 2011); (Nakajima et al, 2019); (Liao, 2018); (Xu, 2016) 16 3 2 19 11 7 5 6 8…”

“…Recycling (Ali et al, 2019); (Kuo et al, 2019); (Bendikiene et al, 2019); (Hasegawa et al, 2019); (Rodgers et al, 2019); (Byard et al, 2019); (Reich et al, 2019); (Tan and Guo, 2019); (Jensen, 2019); (Charnley, F., Tiwari, D., Hutabarat, W., Moreno, M., Okorie, O., Tiwari, 2019); (Romeo, 2019); (Stropnik et al, 2018); (Banguera et al, 2018a); (Aubrey L. ; (Bobba et al, 2018); (Aubrey L ; (Coughlan et al, 2018); (Bradley et al, 2018); (Wanassi et al, 2018); (Fujii and Kondo, 2018); (Sauerwein and Doubrovski, 2018); (Clemon and Zohdi, 2018); (Zhong and Pearce, 2018a); (Minunno et al, 2018); (Atlason et al, 2017); (Helmer Pedersen and Conti, 2017); (Testa et al, 2017); (Rizzo et al, 2017); (Zhou et al, 2017); (Ingarao, 2017); (Jensen and Remmen, 2017); (Alvarez-de-los-Mozos and Renteria, 2017); (M et al, 2017); (Câmpean et al, 2017); (O'Connor et al, 2016); (Broadbent, 2016); (Karayannis, 2016); (Shahbazi et al, 2016); (Tsiliyannis, 2016); (Cucchiella et al, 2015); (Smol et al, 2015);…”