Separable models for interconnected production-inventory systems

Research output: Journal contributionsJournal articlesResearchpeer-review

Authors

We investigate a new class of separable systems which exhibit a product-form stationary distribution. These systems consist of parallel production systems (servers) at several locations, each with a local inventory under base stock policy, connected with a common supplier network. Demand of customers arrives at each production system according to a Poisson process and is lost if the local inventory is depleted (“lost sales”). To satisfy a customer’s demand a production server needs raw material from the associated local inventory. The supplier network is a classical queueing network. We investigate two different lost sales regimes, either based on total inventory or on available inventory. We perform cost analysis to find the optimal base stock levels, which is due to the product-form stationary distribution a separable optimization problem. Finally, we demonstrate that the explicit product forms for both stationary distributions enable us to compare main performance metrics of the systems under the different lost sales admission regimes.

Original languageEnglish
JournalStochastic Models
Volume36
Issue number1
Pages (from-to)48-93
Number of pages46
ISSN1532-6349
DOIs
Publication statusPublished - 02.01.2020

    Research areas

  • Admission control, base stock policy, inventory control, lost sales, Markovian analysis, product-form steady state, queueing networks, separability, supply chain dynamics
  • Informatics
  • Business informatics

Recently viewed

Publications

  1. Learning-related emotions in multimedia learning
  2. Challenges for biodiversity monitoring using citizen science in transitioning social-ecological systems
  3. Biodegradability and genotoxicity of surface functionalized colloidal silica (SiO2) particles in the aquatic environment
  4. Dealing with inclusion–teachers’ assessment of internal and external resources
  5. Clustering design science research based on the nature of the designed artifact
  6. Measurement in Machine Vision Editorial Paper
  7. Towards a caring transdisciplinary research practice
  8. An automated, modular system for organic waste utilization using Hermetia illucens larvae
  9. An antisaturating adaptive preaction and a slide surface to achieve soft landing control for electromagnetic actuators
  10. The Impact of AGVs and Priority Rules in a Real Production Setup – A Simulation Study
  11. Performance incentives in activity-based management
  12. The impact of explicit references in computer supported collaborative learning: Evidence from eye movement analyses
  13. Optimal dynamic scale and structure of a multi-pollution economy
  14. Design, Modeling and Control of an Over-actuated Hexacopter Tilt-Rotor
  15. How does telework modify informal workplace learning and how can supervisors provide support?
  16. Improvements in Flexibility depend on Stretching Duration
  17. Where pragmatics and dialectology meet: Introducing variational pragmatics
  18. Hacking the Classroom
  19. Tree diversity and mycorrhizal type co-determine multitrophic ecosystem functions
  20. Patching Meaningfulness:
  21. Using Long-Duration Static Stretch Training to Counteract Strength and Flexibility Deficits in Moderately Trained Participants
  22. Mixed Pickels
  23. Internet and computer based interventions for cannabis use
  24. Entry, exit and productivity
  25. Active learning for network intrusion detection
  26. Hedge Detection Using the RelHunter Approach
  27. The Creation of the Concept through the Interaction of Philosophy with Science and Art
  28. The persistence of subsistence and the limits to development studies
  29. Individual Scans Fusion in Virtual Knowledge Base for Navigation of Mobile Robotic Group with 3D TVS
  30. Dynamic Semantic Web Content for Museum Guides
  31. Managing Multiple Logics: The Role of Performance Measurement Systems in Social Enterprises
  32. How do students and teachers deal with mathematical modelling problems?
  33. Experimental investigation of the fluid-structure interaction during deep drawing of fiber metal laminates in the in-situ hybridization process