Abstract
We study the long-run average performance of a fluid production/ inventory model which alternates between ON periods and OFF periods. During ON periods of random lengths items are added continuously, at some state-dependent rate, to the inventory. During OFF periods the content decreases (again at some state-dependent rate) back to some basic level. We derive the pertinent reward functionals in closed form. For this analysis the steady-state distributions of the stock level process and its jump counterpart are required. In several examples we use the obtained explicit formulas to maximize the long-run average net revenue numerically.
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Berman, O., Perry, D. & Stadje, W. Performance Analysis of a Fluid Production/Inventory Model with State-dependence. Methodol Comput Appl Probab 9, 465–481 (2007). https://doi.org/10.1007/s11009-006-9000-8
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DOI: https://doi.org/10.1007/s11009-006-9000-8
Keywords
- production/inventory model
- fluid model
- EOQ
- state-dependent production rate
- reward functionals
- stock-level process
- long-run average revenue
- maximization