Optimal Inventory Policy.

@article{Arrow1951OptimalIP,
  title={Optimal Inventory Policy.},
  author={K. Arrow and T. Harris and J. Marschak},
  journal={Econometrica},
  year={1951},
  volume={19},
  pages={133}
}
WE ipropose to outline a method for deriving optimal rules of inventory policy for finished goods. The problem of inventories exists not only for business enterprises but also for nonprofit agencies such as governmental establishments and their various branches. Moreover, the concept of inventories can be generalized so as to include not only goods but also disposable reserves of manpower as well as various stand-by devices. Also, while inventories of finished goods present the simplest problem… Expand

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References

SHOWING 1-10 OF 10 REFERENCES
The Coefficient of Resource Utilization
Abstract : A numerical evaluation of the 'dead loss' associated with a nonoptimal situation (in the Pareto sense) of an economic system is sought. Use is made of the intrinsic price systemsExpand
On the Application of Servomechanism Theory in the Study of Production Control
The problem of controlling the rate of production of a single product can be stated in terms of servomechanism theory, and the well-developed methods of that theory employed to study the behavior ofExpand
The Theory of Statistical Decision
TLDR
The critical and philosophical remarks in this exposition may not accurately represent the views of Professor Wald, for both inwriting and lecturing, he prefers to be rather noncommittal on such points. Expand
On the Integral Equation of Renewal Theory
Feller’s paper is a rigorous treatment of renewal theory, and to assist the reader his principal results are summarized below in demographic form and notation.
A Class of Criteria for Decision-Making under Ignorance" (hectographed)
  • Cowles Commission Discussion Paper, Statistics No
  • 1951
GIRSHICK, [1] "Bayes and Minimax Solutions of Sequential Decision Problems," ECONOMETRICA, Vol
  • JulyOctober,
  • 1949
, [ 1 ] " An Exploration into the Use of Servomechanism Theory in the Study of Production Control " ( submitted for publication in EcONOMETRICA )
  • Journal of the American Statistical Association
[ 1 ] " The Theory of Statistical Decision
  • JURG , [ 1 ] " Zur Preisbildung bei Ungewissen Erwartungen , " Schweizerische Zeitschrift fuer Volkswirtschaft und Statistik