TY  - JOUR
AB  - Purpose– The purpose of this paper is to investigate a control engineering-based system model that allows for any value of production delay for a three-tier supply chain with information delays between tiers or systems with epos. Design/methodology/approach– A discrete z transform model of automatic pipeline, variable inventory and order based production control system three-tier supply chain is obtained using a state-space model using a reachable control formulation. This model provides a discrete time state-space model conversion using an exponential production delay with no loss of generality. Findings– This work allows a three-tier supply chain model to be computed via a spreadsheet using any production delay and can be modified to include different sales smoothing procedures. The model is fully controllable and observable. Stability of these models is obtained from the system eigenvalues and agrees with our previously published stability boundaries. Practical implications– The system is described by a linear control model of the production process and does not include production limits or other resource limitations, including history of sales demand and response. Originality/value– This present model is an extension of the model devised by White and Censlive, in that it allows accurate modelling of multi-tier inventory production systems by permitting flexible selection of delay parameter values for real systems.
VL  - 10
IS  - 1
SN  - 1746-5664
DO  - 10.1108/JM2-10-2012-0036
UR  - https://doi.org/10.1108/JM2-10-2012-0036
AU  - White Anthony S
AU  - Censlive Michael
PY  - 2015
Y1  - 2015/01/01
TI  - A state-space model of a three tier APVIOBPCS supply chain
T2  - Journal of Modelling in Management
PB  - Emerald Group Publishing Limited
SP  - 76
EP  - 104
Y2  - 2024/04/25
ER  -