zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Approximate order quantities and reorder points for inventory systems where orders arrive in two shipments. (English) Zbl 0673.90025
Summary: We consider an inventory system where orders may arrive in two shipments, that is, the first shipment of the order may contain only part of the items ordered, while the rest of the items arrive in a second shipment. However, the amount of the first shipment is random. Such situations arise when the supplier partially fills an order if it does not have sufficient stock to satisfy the amount demanded in an order, or when an arriving order contains defective items that can be returned to and replaced by the supplier at some later date. We present the operating characteristics and an approximate cost function for such a system. The properties of the approximate cost function are exploited to bound the search for the order quantity and reorder point that minimize it. Finally, the effectiveness of the approximate cost function in providing near-optimal solutions is evaluated by means of numerical examples.
90B05Inventory, storage, reservoirs