Steady State Probabilistic Characteristics of the On/Off Production Rate Control Production-Inventory System with MMPP Demand Arrivals
| Autor: | Ekaterina Ulyanova, Anna V. Kitaeva, Klimentii Livshits |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics::Physics and Society
021103 operations research Single product 0211 other engineering and technologies Probabilistic logic 02 engineering and technology Production inventory Exponential function Steady state distribution 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing Finite set Stock (geology) Mathematics Production rate |
| Zdroj: | Information Technologies and Mathematical Modelling. Queueing Theory and Applications ISBN: 9783319975948 |
| DOI: | 10.1007/978-3-319-97595-5_20 |
| Popis: | Approximate steady state probability distribution of the stock level for the single product production-inventory system when the demand is a Markov-modulated Poisson process (MMPP) with finite number of states under the on/off production rate control is obtained. The control causes the stock level to fluctuate around a given value by reducing the production rate when the stock exceeds this value. The asymptotic distributions of the stock-out and overproduction periods are also obtained. Exact steady state distribution of the stock level for MMPP demand arrivals with two states and exponential batch size distribution is compared with the approximate one. |
| Databáze: | OpenAIRE |
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