Analyzing the effect of the inventory policy on order and inventory variability with linear control theory

In this paper we apply linear control theory to study the effect of various inventory policies on order and inventory variability, which are key drivers of supply chain performance. In particular, we study a two-echelon supply chain with a stationary demand pattern under the influence of three inventory policies: an inventory-on-hand policy that bases orders on the visible inventory at an installation, an installation-stock policy that bases orders on the inventory position (on-hand plus on-order inventory) at an installation, and an echelon-stock policy that bases orders on the inventory position at that installation and all downstream installations. We prove analytically that the inventory-on-hand policy is unstable in practical settings, confirming analytically what has been observed in experimental settings and in practice. We also prove that the installation-stock and echelon-stock policies are stable and analyze their effect on order and inventory fluctuation. Specifically, we show the general superiority of the echelon-stock in our setting and demonstrate analytically the effect of forecasting parameters on order and inventory fluctuations, confirming the results in other research.     

Nickel(II)-komplexe des unsubstituierten cyclobutadiens

cis- and trans-3,4-Dichlorocyclobutene (I) react with Ni(CO)₄ and AlCl₃ to give (C₄H₄)NiCl₂ · AlCl₃ (II), while the bromo- and iodo-substituted cyclobutenes (III) without AlCl₃ yield the complexes (C₄H₄)NiX₂ (IVa, X  Br; IVb, X  I). Properties of II and IV are discussed and the presence of a C₄H₄ ring attached to nickel is likely from the results obtained.     

Modellkomplexe des nickels für die umsetzung von alkinen mit kohlenmonoxid: (phenylacetylen und (bipy)Ni(CO)2)

A five-coordinate, ligand-stabilised alkynenickel carbonyl complex (III), in which bond formation between carbon monoxide and the alkyne does not occur, is formed by reaction of (bipy)ni(CO)₂ (I) with phenylacetylene. The products (V and VII) from the reactions of III with carbon monoxide or t-butylisonitrile are described and characterised. A reaction scheme for the nickel-induced CC-bond formation between alkynes and carbon monoxide is discussed.