A JUMP-FLUID PRODUCTION-INVENTORY MODEL WITH A DOUBLE BAND CONTROL

Autor(en): Barron, Yonit
Perry, David
Stadje, Wolfgang 
Stichwörter: Engineering; Engineering, Industrial; Mathematics; Operations Research & Management Science; POLICIES; Statistics & Probability; TRANSIENT ANALYSIS
Erscheinungsdatum: 2014
Herausgeber: CAMBRIDGE UNIV PRESS
Journal: PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES
Volumen: 28
Ausgabe: 3
Startseite: 313
Seitenende: 333
Zusammenfassung: 
We consider a production-inventory control model with two reflecting boundaries, representing the finite storage capacity and the finite maximum backlog. Demands arrive at the inventory according to a Poisson process, their i.i.d. sizes having a common phase-type distribution. The inventory is filled by a production process, which alternates between two prespecified production rates.1 and.2: as long as the content level is positive,.1 is applied while the production follows.2 during time intervals of backlog (i.e., negative content). We derive in closed form the various cost functionals of this model for the discounted case as well as under the long-run-average criterion. The analysis is based on a martingale of the Kella-Whitt type and results for fluid flow models due to Ahn and Ramaswami.
ISSN: 02699648
DOI: 10.1017/S0269964814000023

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