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)
Optimal product acquisition, pricing, and inventory management for systems with remanufacturing. (English) Zbl 1233.90145
Summary: Acquisition of used products (cores) is central to the success of remanufacturing programs for companies. At the same time, dynamic pricing strategies have been adopted in various industries to better balance supply and customer demand. In this paper, we study the integration of these two aspects of operations together with inventory management for a production/remanufacturing firm. We develop a periodic-review single-product inventory system with price-dependent customer demand. The product return in each period is random but can be actively controlled by the firm’s acquisition effort. The firm aims to maximize its total discounted profit over a finite planning horizon by implementing optimal production, remanufacturing, product acquisition, and pricing strategies. We first show that with an exogenous selling price, the optimal production-remanufacturing-disposal policy is simple and characterized by three state-independent parameters. The optimal acquisition effort is decreasing in the aggregate inventory level of serviceable product and cores. Nevertheless, when pricing is an endogenous decision, we find that the optimal policy becomes much more complicated, and its control parameters are state dependent. The optimal selling price is decreasing, whereas the optimal acquisition effort is increasing in the serviceable product inventory level, and both decisions decrease with the aggregate inventory level.
90B30Production models
90B05Inventory, storage, reservoirs