ebooks logo journals logo reference works logo abstract databases logo
bullet  SIGN IN Register | Why Register? | Got a Voucher? alerts   marked lists   shopping cart 

informaworld

HOME   |   SEARCH   |   BROWSE
    Issues List       Latest Issue       Volume 22 Issue 5       Subscribe       Article       References       Related articles      
<< firstfirst   < prevprev   Table of contentstoc   next >next   last >>last
Publisher Logo Publication Cover
Search within this journal
iOpen

Inventory System Subject to Disaster with General Interarrival Times 

Authors: T. V. Varghese a; A. Krishnamoorthy b
Affiliations:   a Department of Mathematics, Christ College, Irinjalakuda, Singapore, India
b Department of Mathematics, Cochin University of Science and Technology, Kochi, India
DOI: 10.1081/SAP-200026467
Publication Frequency: 6 issues per year
Published in: journal Stochastic Analysis and Applications, Volume 22, Issue 5 January 2005 , pages 1315 - 1326
Formats available: HTML (English) : PDF (English)
Article Requests: Order Reprints : Request Permissions


Abstract

We discuss a single commodity continuous review (s, S) inventory system in which commodities get damaged due to external disaster. Shortages are not permitted and lead time is assumed to be zero. The interarrival times of demands constitute a family of i.i.d. random variables with a common arbitrary distribution. The quantity demanded at a demand epoch is arbitrarily distributed which depends only on the time elapsed since the last demand epoch. Transient and steady state probabilities of the inventory levels are derived by identifying suitable semi-regenerative process. In the case when the demand is for unit item and the disaster affects only an exhibiting item, the steady state probability distribution is obtained as uniform. An optimization problem is discussed and numerical examples are provided.
Keywords: Inventory; Disaster; Perishability; Markov renewal process; Semi-regenerative process; Optimization
AMS Subject Classification: 90B05; 90C90; 60K99
view references (8)
Bookmark with:
  • CiteULike
  • Del.icio.us
  • BibSonomy
  • Connotea
  • More bookmarks
Privacy Policy | Terms & Conditions | Accessibility | RSS
FAQs in: English . Français . Español . 中文(简体和繁體)
© 2009 Informa plc