المؤلف
Tan, Baris, Ozkan, E.
تاريخ النشر
2025-01-16
مكان النشر
-
Elsevier
الموضوع
Asymptotic optimality, Inventory control, Energy consumption, Make-to-stock system, Production
النوع
دورية
اللغة
الإنجليزية
رقمي
نعم
مخطوط
لا
المكتبة
جامعة اوزيجين
معرف أصل المكتبة
0377-2217
رقم السجل
b8083891-ae60-4d9c-a5b3-afbadded559e
موقع المكتبة
Industrial Engineering
التاريخ
2025-01-16
ملاحظات
TÜBİTAK ; European Union's Horizon 2020 ; Türkiye Bilimler Akademisi
نص عينة
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
