Computational Issues in an Infinite-Horizon, Multiechelon Inventory Model
@article{Federgruen1984ComputationalII, title={Computational Issues in an Infinite-Horizon, Multiechelon Inventory Model}, author={Awi Federgruen and Paul H. Zipkin}, journal={Oper. Res.}, year={1984}, volume={32}, pages={818-836} }
Clark and Scarf Clark, A., H. Scarf. 1960. Optimal policies for a multi-echelon inventory problem. Mgmt. Sci.6 475-490. characterize optimal policies in a two-echelon, two-location inventory model. We extend their result to the infinite-horizon case for both discounted and average costs. The computations required are far easier than for the finite horizon problem. Further simplification is achieved for normal demands. We also consider the more interesting case of multiple locations at the lower…
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References
SHOWING 1-10 OF 25 REFERENCES
Approximations of Dynamic, Multilocation Production and Inventory Problems
- Business
- 1984
Consider a central depot or plant which supplies several locations experiencing random demands. Orders are placed or production is initiated periodically by the depot. The order arrives after a fixed…
Optimal Policy for a Multi-product, Dynamic Non-Stationary Inventory Problem
- Business
- 1965
This paper is concerned with a multi-product dynamic nonstationary inventory problem in which the system is reviewed at the beginning of each of a sequence of periods of equal length. The model has…
Optimality of (s, S) Policies in the Infinite Horizon Dynamic Inventory Problem
- Mathematics
- 1963
The optimal ordering policy for a n-period dynamic inventory problem in which the ordering cost is linear plus a fixed reorder cost and the other one-period costs are convex is characterized by a…
Optimality of Myopic Inventory Policies for Several Substitute Products
- Business
- 1969
Multiproduct inventory systems with proportional ordering costs and stochastic demands are studied. New conditions are obtained under which a myopic ordering policy (a policy of minimizing expected…
Designing a Multi-Product Multi-Echelon Inventory System,
- Business
- 1979
A reformulation of the nonlinear programming model as a 0-1 linear programming model is presented, to incorporate capacity constraints at the retail stores and warehouses, and illustrate the use of the new model.
Computing Optimal (s, S) Inventory Policies
- Business
- 1965
A complete computational approach for finding optimal (s, S) inventory policies is developed. The method is an efficient and unified approach for all values of the model parameters, including a…
Optimal Policy for a Two-Stage Assembly System under Random Demand
- BusinessOper. Res.
- 1985
This work represents the only exact analysis of an MRP-type assembly system when demand is stochastic and characterized the forms of both the optimal order policy for the components and the optimal assembly policy of the end product for a multiperiod problem of arbitrary, but finite length.
Exact and Approximate Cost Functions for Product Aggregates
- Economics, Business
- 1982
We show that certain large, multiproduct problems can be well approximated by smaller models of the same form, representing only one aggregate product or a few such products. This reduction follows…
An Efficient Algorithm for Computing Optimal (s, S) Policies
- Computer ScienceOper. Res.
- 1984
This paper presents an algorithm to compute an optimal s, S policy under standard assumptions stationary data, well-behaved one-period costs, discrete demand, full backlogging, and the average-cost…
Least d-Majorized Network Flows with Inventory and Statistical Applications
- Mathematics
- 1971
It is shown that for any feasible network flow model, there is a flow which simultaneously minimizes every d-Schur convex function of the flows emanating from a single distinguished node called the…