The DOI matches its Crossref record.
Optimal Policies for a Multi-Echelon Inventory Problem
Abstract
In the last several years there have been a number of papers discussing optimal policies for the inventory problem. Almost without exception these papers are devoted to the determination of optimal purchasing quantities at a single installation faced with some pattern of demand. It has been customary to make the assumption that when the installation in question requests a shipment of stock, this shipment will be delivered in a fixed or perhaps random length of time, but at any rate with a time lag which is independent of the size of the order placed. There are, however, a number of situations met in practice in which this assumption is not a tenable one. An important example arises when there are several installations, say 1, 2, …, N, with installation 1 receiving stock from 2, with 2 receiving stock from 3, etc. In this example, if an order is placed by installation 1 for stock from installation 2, the length of time for delivery of this stock is determined not only by the natural lead time between these two sites, but also by the availability of stock at the second installation. In this paper we shall consider the problem of determining optimal purchasing quantities in a multi-installation model of this type.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Supply chain modeling: past, present and future
Min, H., & Zhou, G. (2002) · Computers & Industrial Engineering · doi:10.1016/s0360-8352(02)00066-9 · Cited by 940
Modeling Supply Chain Dynamics: A multiagent Approach
Swaminathan, J. M., Smith, S. F., & Sadeh, N. M. (1998) · Decision Sciences · doi:10.1111/j.1540-5915.1998.tb01356.x · Cited by 878
OR/MS models for supply chain disruptions: a review
Snyder, L. V., Atan, Z., Peng, P., Rong, Y., Schmitt, A. J., & Sinsoysal, B. (2016) · IIE Transactions · doi:10.1080/0740817x.2015.1067735 · Cited by 854
Antecedents of supply chain visibility in retail supply chains: A resource‐based theory perspective
Barratt, M., & Oke, A. (2007) · Journal of Operations Management · doi:10.1016/j.jom.2007.01.003 · Cited by 702
Inventory and its Relationship with Profitability: Evidence for an International Sample of Countries
Rumyantsev, S., & Netessine, S. (2013) · doi:10.2139/ssrn.2319862 · Cited by 18
Metadata
- Authors
- Clark, A. J., & Scarf, H.
- Venue
- Management Science
- Published
- 1960-07
- Volume
- 6
- Issue
- 4
- Pages
- 475-490
- ISSN
- 0025-1909 (ISSN-L)
- 1526-5501
- OpenAlex
- W4252999557
- Cited by
- 1,252
- References
- 0
- FWCI
- 2.56
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Optimal Policies for a Multi-Echelon Inventory Problem. https://app.cochat.ai/papers/10.1287/mnsc.6.4.475
- The paper
- Clark, A. J., & Scarf, H. (1960). Optimal Policies for a Multi-Echelon Inventory Problem. Management Science. https://doi.org/10.1287/mnsc.6.4.475
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
