%0 Journal Article
%T Exploiting Virtual Elasticity of Production Systems to Respect OTD¡ªPart 3: Basic Considerations for Modelling CPPS Characterized by Non-Ergodic Order Entry and Non-Deterministic Product-Mix for Fully Flexible Addressable Workstations
%A Bruno G. R¨¹ttimann
%A Martin T. St£¿ckli
%J American Journal of Operations Research
%P 19-63
%@ 2160-8849
%D 2022
%I Scientific Research Publishing
%R 10.4236/ajor.2022.122003
%X The recently experienced hype concerning the so-called ¡°4<sup>th</sup> Industrial Revo<span>lution¡± of production systems
has prompted several papers of various sub</span>topics regarding Cyber<span><span><span style=\"font-family:;\" \"=\"\">-</span></span></span><span><span><span style=\"font-family:;\" \"=\"\">Ph</span></span></span><span><span><span style=\"font-family:;\" \"=\"\">d</span></span></span><span><span><span style=\"font-family:;\" \"=\"\">ysical
Production Systems (CPPS). However,<span> important </span><span>aspects such as </span></span></span></span><span><span><span style=\"font-family:;\" \"=\"\">the m</span></span></span><span><span><span style=\"font-family:;\" \"=\"\">odelling of CPPS to understand the theory regarding</span></span></span><span><span><span style=\"font-family:;\" \"=\"\"> </span></span></span><span><span><span style=\"font-family:;\" \"=\"\">the </span></span></span><span><span><span style=\"font-family:;\" \"=\"\">performance of highly non-ergodic and
non-deterministic flexible manufac</span></span></span><span><span><span style=\"font-family:;\" \"=\"\">tur</span></span></span><span><span><span style=\"font-family:;\" \"=\"\">ing systems in terms of Exit
Rate (ER), Manufacturing Lead Time (MLT),</span></span></span><span><span><span style=\"font-family:;\" \"=\"\"> and <span>On-Time Delivery (OTD) have not
yet been examined systematically and</span><span> even l</span><span>ess modeled analytically. To
develop the topic, in this paper</span></span></span></span><span><span><span style=\"font-family:;\" \"=\"\">,</span></span></span><span><span><span style=\"font-family:;\" \"=\"\"> the prerequi</span></span></span><span><span><span style=\"font-family:;\" \"=\"\">sites for </span></span></span><span><span><span style=\"font-family:;\" \"=\"\">m</span></span></span><span><span><span style=\"font-family:;\" \"=\"\">odelling such systems are defined in order to be <span>able to derive </span></span></span></span><span><span><span style=\"font-family:;\" \"=\"\">an </span></span></span><span><span><span style=\"font-family:;\" \"=\"\">explicit and dedicated produc</span></span></span><span><span><span style=\"font-family:;\" \"=\"\">tion </span></span></span><span><span><span style=\"font-family:;\" \"=\"\">mathematics</span></span></span><span><span><span style=\"font-family:;\" \"=\"\">-</span></span></span><span><span><span style=\"font-family:;\" \"=\"\">based un</span></span></span><span><span><span style=\"font-family:;\" \"=\"\">der</span></span></span><span><span><span style=\"font-family:;\"
%K On-Time-Delivery
%K Production System
%K Industry 4.0
%K CPPS
%K IoT
%K Stochastic Arrival Rate
%K Non-Ergodic Process
%K Virtual Elasticity
%K Production Capacity
%K Nominal Mean Exit Rate
%K Theorem of Non-Ergodicity
%K Non-Deterministic Product-Mix
%K TFL
%K AGV
%K Scheduling Algorithm
%K Digital Twin
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=115472