Two-Product Make-to-Stock System: Strategic Joining and Optimal Inventory Levels
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866911371829968896 |
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| author | Kanavetas, Odysseas Kosarevskaia, Ekaterina |
| author_facet | Kanavetas, Odysseas Kosarevskaia, Ekaterina |
| contents | This paper analyzes a two-product make-to-stock queueing system where a single production facility serves two customer classes with independent Poisson arrivals. Customers make strategic join-or-balk decisions without observing current inventory levels. The analysis establishes the existence and uniqueness of Nash equilibria in customer joining strategies for various inventory scenarios. Optimal base-stock levels are characterized from both profit-maximizing and welfare-maximizing perspectives, with closed-form expressions for key performance measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08426 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Two-Product Make-to-Stock System: Strategic Joining and Optimal Inventory Levels Kanavetas, Odysseas Kosarevskaia, Ekaterina Optimization and Control This paper analyzes a two-product make-to-stock queueing system where a single production facility serves two customer classes with independent Poisson arrivals. Customers make strategic join-or-balk decisions without observing current inventory levels. The analysis establishes the existence and uniqueness of Nash equilibria in customer joining strategies for various inventory scenarios. Optimal base-stock levels are characterized from both profit-maximizing and welfare-maximizing perspectives, with closed-form expressions for key performance measures. |
| title | Two-Product Make-to-Stock System: Strategic Joining and Optimal Inventory Levels |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2601.08426 |