Displaying similar documents to “Admission controls for Erlang's loss system with service times distributed as a finite sum of exponential random variables.”

Optimal QoS control of interacting service stations

Abdelkrim Haqiq, I. Lambadaris, N. Mikou, L. Orozco-Barbosa (2002)

RAIRO - Operations Research - Recherche Opérationnelle

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We consider a system of three queues and two types of packets. Each packet arriving at this system finds in front of it a controller who either sends it in the first queue or rejects it according to a QoS criterion. When the packet finishes its service in the first queue, it is probabilistically routed to one of two other parallel queues. The objective is to minimize a QoS discounted cost over an infinite horizon. The cost function is composed of a waiting cost per packet in each queue...

Contrôle dynamique de flux dans un système d'attente avec panne

A. Haqiq, N. Mikou (2010)

RAIRO - Operations Research

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We consider two parallel M/M/1 queues. The server at one of the queues is subject to intermittent breakdowns. By the theory of dynamic programming, we determine a threshold optimal policy which consists to transfer, when it is necessary, the customers that arrive at the first queue towards the second queue in order to minimize an instantaneous cost depending of the two queue lengths.

A mathematical model for an optimal appointed delivery date on a home delivery market

Hidefumi Kawakatsu, Hiroaki Sandoh (2005)

RAIRO - Operations Research - Recherche Opérationnelle

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In recent years, the home delivery market has rapidly been growing since customers can purchase a variety of products very easily via Internet. At the same time, however, customers tend to switch from a supplier to another seeking for better service for them. For this reason, it is necessary for suppliers to enclose their customers by means of various kinds of service and strategy. An appointed delivery date of a product ordered by a customer is one of important factors of supplier’s...