@article{Disney2001,
title = {A linear PIC system that can operate in a non-linear world},
journal = {IFAC Proceedings Volumes},
volume = {34},
number = {10},
pages = {121-125},
year = {2001},
note = {IFAC Workshop on Manufacturing, Modelling, Management and Control 2001, Prague, Czech Republic, 2-4 August 2001},
issn = {1474-6670},
doi = {https://doi.org/10.1016/S1474-6670(17)34182-4},
url = {https://www.researchgate.net/publication/317131017_A_Linear_Production_and_Inventory_Control_System_that_can_Operate_in_a_Non-Linear_World},
author = {S.M. Disney and D.R. Towill},
keywords = {Production control, inventory control, robustness, stability, nonlinear analysis},
abstract = {This paper investigates the performance of a well-known production and inventory control algorithm, termed APIOPBCS. APIOBPCS is a very general representation and has been shown to cover a widerange of material flow control strategies. We investigate the performance of the general APIOPBCS model and highlight a particularly robust set of solutions to APIOPBCS, termed the DE solutions. The DE solutions have desirable properties relating to stability and the robustness to a range of non-linear effects such as yield rates, stochastic lead-times and capacity limits, We make extensive use of z-transforms and simulation to achieve this aim.}
}