Displaying similar documents to “Minimal waiting times in static traffic control.”

Optimal control for a BMAP/SM/1 queue with MAP-input of disasters and two operation modes

Olga V. Semenova (2004)

RAIRO - Operations Research - Recherche Opérationnelle

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A single-server queueing system with a batch markovian arrival process (BMAP) and MAP-input of disasters causing all customers to leave the system instantaneously is considered. The system has two operation modes, which depend on the current queue length. The embedded and arbitrary time stationary queue length distribution has been derived and the optimal control threshold strategy has been determined.

Optimal control for a BMAP/SM/1 queue with MAP-input of disasters and two operation modes

Olga V. Semenova (2010)

RAIRO - Operations Research

Similarity:

A single-server queueing system with a batch Markovian arrival process (BMAP) and MAP-input of disasters causing all customers to leave the system instantaneously is considered. The system has two operation modes, which depend on the current queue length. The embedded and arbitrary time stationary queue length distribution has been derived and the optimal control threshold strategy has been determined.

An SMDP model for a multiclass multi-server queueing control problem considering conversion times

Zhicong Zhang, Na Li, Shuai Li, Xiaohui Yan, Jianwen Guo (2014)

RAIRO - Operations Research - Recherche Opérationnelle

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We address a queueing control problem considering service times and conversion times following normal distributions. We formulate the multi-server queueing control problem by constructing a semi-Markov decision process (SMDP) model. The mechanism of state transitions is developed through mathematical derivation of the transition probabilities and transition times. We also study the property of the queueing control system and show that optimizing the objective function of the addressed...