نویسنده
Tan, Baris, Ozkan, E.
تاریخ انتشار
2025-01-16
محل انتشار
-
Elsevier
موضوع
Asymptotic optimality, Inventory control, Energy consumption, Make-to-stock system, Production
نوع
دوره ای
زبان
انگلیسی
دیجیتال
بله
نسخه خطی
خیر
کتابخانه
دانشگاه اوزیغین
شناسه دارایی کتابخانه
0377-2217
شماره ثبت
b8083891-ae60-4d9c-a5b3-afbadded559e
محل کتابخانه
Industrial Engineering
تاریخ
2025-01-16
یادداشتها
TÜBİTAK ; European Union's Horizon 2020 ; Türkiye Bilimler Akademisi
متن نمونه
We study a make-to-stock manufacturing system in which a single server makes the production. The server consumes energy, and its power consumption depends on the server state: a busy server consumes more power than an idle server, and an idle server consumes more power than a turned-off server. When a server is turned on, it completes a costly set-up process that lasts a while. We jointly control the finished goods inventory and the server's energy consumption. The objective is to minimize the long-run average inventory holding, backorder, and energy consumption costs by deciding when to produce, when to idle or turn off the server, and when to turn on a turned-off server. Because the exact analysis of the problem is challenging, we consider the asymptotic regime in which the server is in the conventional heavy-traffic regime. We formulate a Brownian control problem (BCP) with impulse and singular controls. In the BCP, the impulse control appears due to server shutdowns, and the singular control appears due to server idling. Depending on the system parameters, the optimal BCP solution is either a control-band or barrier policy. We propose a simple heuristic control policy from the optimal BCP solution that can easily be implemented in the original (non-asymptotic) system. Furthermore, we prove the asymptotic optimality of the proposed control policy in a Markovian setting. Finally, we show that our proposed policy performs close to optimal in numerical experiments.
DOI
10.1016/j.ejor.2024.08.028
Cilt
320
