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. Programmierung einer DELTA-Roboterzelle nach PackML Standard
  2. An experience-based learning framework
  3. Performance incentives in activity-based management
  4. Rethinking the Spatiality of Spatial Planning
  5. Identification of Parameters and States in PMSMs
  6. PID Controller Application in a Gimbal Construction for Camera Stabilization and Tracking
  7. Eulerian and Lagrangian perspectives on turbulent superstructures in Rayleigh-Bénard convection
  8. Do Linguistic Features Influence Item Difficulty in Physics Assessments?
  9. The erosion of relational values resulting from landscape simplification
  10. Resolving conflicts between people and over time in the transformation toward sustainability
  11. Temporal and thermodynamic irreversibility in production theory
  12. Making the most out of timeseries symptom data
  13. Lyapunov stability analysis to set up a saturating PI controller with anti-windup for a mass flow system
  14. Media-Assisted Foreign Language Learning - Concepts and Functions
  15. Effect of grain size and structure, solid solution elements, precipitates and twinning on nanohardness of Mg-Re alloys
  16. An Exploration of humans‘ ability to recognize emotions displayed by robots
  17. Using Digitalization As An Enabler For Changeability In Production Systems In A Learning Factory Environment
  18. Training in Components of Problem-Solving Competence
  19. Dialogic interactions in higher vocational learning environments in mainland China
  20. Anwendungsprogrammierung mit Embedded-SQL
  21. Metamodelizing the Territory
  22. Diversity Management and Corporate Change: Implications for Co-Determination
  23. Is implicit Theory of Mind real but hard to detect?
  24. Deciding between the Covariance Analytical Approach and the Change-Score Approach in Two Wave Panel Data
  25. Policy implementation through multi-level governance
  26. Effectiveness of self-generation during learning is dependent on individual differences in need for cognition
  27. Accuracy Improvement of Vision System for Mobile Robot Navigation by Finding the Energetic Center of Laser Signal
  28. Activity–rest schedules in physically demanding work and the variation of responses with age
  29. Determinants of entrepreneurial intent: A meta-analytic test and integration of competing models
  30. Internal reference price response across store formats
  31. Sustainable Consumption - Mapping the Terrain
  32. Chip extrusion with integrated equal channel angular pressing
  33. Exploring the dark and unexpected sides of digitalization
  34. Endemic predators, invasive prey and native diversity