On a tandem queue with batch service and its applications in wireless sensor networks

On a tandem queue with batch service and its applications in wireless sensor networks

Mitici, M.A. (TU Delft Air Transport & Operations)
Goseling, Jasper (University of Twente)
van Ommeren, Jan Kees
de Graaf, Maurits (Thales; University of Twente)
Boucherie, Richard J. (University of Twente)

2017-10-01

We present a tandem network of queues 0 , ⋯ , s- 1. Customers arrive at queue 0 according to a Poisson process with rate λ. There are s independent batch service processes at exponential rates μ₀, ⋯ , μ_{s - 1}. Service process i, i= 0 , ⋯ , s- 1 , at rate μ_i is such that all customers of all queues 0 , ⋯ , i simultaneously receive service and move to the next queue. We show that this system has a geometric product-form steady-state distribution. Moreover, we determine the service allocation that minimizes the waiting time in the system and state conditions to approximate such optimal allocations. Our model is motivated by applications in wireless sensor networks, where s observations from different sensors are collected for data fusion. We demonstrate that both optimal centralized and decentralized sensor scheduling can be modeled by our queueing model by choosing the values of μ_i appropriately. We quantify the performance gap between the centralized and decentralized schedules for arbitrarily large sensor networks.

Broadcasting
Scheduling
Tandem network of queues with Batch Service
Wireless Sensor Networks

http://resolver.tudelft.nl/uuid:8a4abf17-314b-481a-bb34-a1e9b64ae74e

https://doi.org/10.1007/s11134-017-9534-1

0257-0130

Queueing Systems: theory and applications, 87 (1-2), 81-93

Institutional Repository

journal article

© 2017 M.A. Mitici, Jasper Goseling, Jan Kees van Ommeren, Maurits de Graaf, Richard J. Boucherie