Structure of optimal policies in M/M/1 make-to-stock queues in the presence of partial control

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Tezin Türü: Yüksek Lisans

Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Mühendislik Fakültesi, Endüstri Mühendisliği Bölümü, Türkiye

Tezin Onay Tarihi: 2015

Öğrenci: ERKİN YENİGÜN

Danışman: SEÇİL SAVAŞANERİL TÜFEKCİ

Özet:

We study the structure of optimal pricing and batch acceptance policies for M/M/1 make-to-stock queue systems under complete and partial control. We model the problems as Markov decision processes under average gain criteria. The goal is to analyze how an exogenous basestock level affects the structure of optimal policies for both problems. Analyses show that both optimal pricing policy and optimal batch acceptance policy under complete control possess a monotone structure. In addition, we show that under certain conditions, prices quoted to customers and batch acceptance decisions under partial control possess a monotone structure for pricing and batch acceptance problems, respectively. Finally, we show that, for pricing problem, systems under complete control quote higher prices than those under partial control. For batch acceptance problem, systems under compete control reject a customer from a certain class earlier than systems under partial control.