Abstract
Operation of a sensor node of a wireless sensor network with energy harvesting is described by the single-server queue. Customers and energy units arrive according to the Markov arrival processes (MAP) and are stored in the corresponding buffers. Service of a customer is possible only in presence of an energy unit. In contrast to previously investigated in the literature models, we assume that, besides the use of one energy unit for service of any customer, one more unit is expended at the moment of a customer arrival if the customer is accepted to the system. To optimize operation of the system, a parametric strategy of admission control is used. The goal of control is to minimize the risk of the server starvation in case of too strict control and the risk of wasting the energy due to acceptance of too many customers that finally will not receive a service (due to the lack of energy or impatience) in case of too liberal control. Under the fixed value of control parameter, the behavior of the system is described by the six-dimensional Markov chain. The generator of this Markov chain is obtained. Expressions for computation of the key performance indicators of the system are presented. Numerical results illustrating the effectiveness of the proposed control strategy are presented.
This work was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2020R1A2C1006999) and by the RUDN University Program 5-100.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Akyildiz, I.F., Su, W., Sankarasubramaniam, Y., Cayirci, E.: Wireless sensor networks: a survey. Comput. Netw, 38(4), 393–422 (2002)
Yick, J., Mukherjee, B., Ghosal, D.: Wireless sensor network survey. Comput. Netw. 52(12), 2292–2330 (2008)
Akkaya, K., Younis, M.: A survey on routing protocols for wireless sensor networks. Ad hoc Netw. 3(3), 325–349 (2005)
Demirkol, I., Ersoy, C., Alagoz, F.: MAC protocols for wireless sensor networks: a survey. IEEE Commun. Mag. 44(4), 115–121 (2006)
Ray, P.P.: Energy packet networks: an annotated bibliography. SN Comput. Sci. 1(1), 1–10 (2019). https://doi.org/10.1007/s42979-019-0008-x
Cui, Y., Lau, V.K.N., Zhang, F.: Grid power-delay tradeoff for energy harvesting wireless communication systems with finite renewable energy storage. IEEE J. Sel. Areas Commun. 33, 1651–1666 (2015)
Lu, X., Wang, P., Niyato, D., Kim, D.I., Han, Z.: Wireless networks with RF energy harvesting: a contemporary survey. IEEE Commun. Surv. Tutor. 17, 757–789 (2015)
Zhang, F., Lau, V.K.N.: Delay-sensitive dynamic resource control for energy harvesting wireless systems with finite energy storage. IEEE Commun. Mag. 53, 106–113 (2015)
Ulukus, S., et al.: Energy harvesting wireless communications: a review of recent advances. IEEE J. Sel. Areas Commun. 33, 360–381 (2015)
Kanoun, O.: (Ed.) Energy Harvesting for Wireless Sensor Networks: Technology, Components and System Design. Walter de Gruyter GmbH & Co KG. (2018)
Sharma, V., Mukherji, U., Joseph, V., Gupta, S.: Optimal energy management policies for energy harvesting sensor nodes. IEEE Trans. Wirel. Commun. 9(4), 1326–1336 (2010)
Tutuncuoglu, K., Yener, A.: Optimum transmission policies for battery limited energy harvesting nodes. IEEE Trans. Wirel. Commun. 11(3), 1180–1189 (2012)
Yang, J., Ulukus, S.: Optimal packet scheduling in an energy harvesting communication system. IEEE Trans. Commun. 60(1), 220–230 (2012)
Yang, J., Ulukus, S.: Optimal packet scheduling in a multiple access channel with energy harvesting transmitters. J. Commun. Netw. 14, 140–150 (2012)
Gelenbe, E.: Synchronising energy harvesting and data packets in a wireless sensor. Energies 8(1), 356–369 (2015)
Gelenbe, E.: A sensor node with energy harvesting. ACM SIGMETRICS Perform. Eval. Rev. 42(2), 37–39 (2014)
Patil, K., De Turck, K., Fiems, D.: A two-queue model for optimising the value of information in energy-harvesting sensor networks. Perform. Eval. 119, 27–42 (2018)
Dudin, S.A., Lee, M.H.: Analysis of single-server queue with phase-type service and energy harvesting. Math. Prob. Eng. 2016, 1–16 (2016). ID592794
Kim, C.S., Dudin, S., Dudin, A., Samouylov, K.: Multi-threshold control by a single-server queuing model with a service rate depending on the amount of harvested energy. Perform. Eval. 127–128, 1–20 (2018)
Dudin, A., Kim, C., Dudin, S.: Optimal control by the queue with rate and quality of service depending on the amount of harvested energy as a model of the node of wireless sensor network. In: Vishnevskiy, V.M., Samouylov, K.E., Kozyrev, D.V. (eds.) DCCN 2019. LNCS, vol. 11965, pp. 165–178. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-36614-8_13
Dudina, O., Dudin, A.: Optimization of queueing model with server heating and cooling. Mathematics 7(9), 1–19 (2019)
Baek, J.H., Dudina, O., Kim, C.S.: Queueing system with heterogeneous impatient customers and consumable additional items. Appl. Math. Comput. Sci. 27(2), 367–384 (2017)
Sun, B., Dudin, A., Dudin, S.: Queueing system with impatient customers, visible queue and replenishable inventory. Appl. Comput. Math. 17(2), 161–174 (2018)
Shajin, D., Krishnamoorthy, A., Dudin, A.N., Joshua, V.C., Jacob, V.: On a queueing-inventory system with advanced reservation and cancellation for the next K time units ahead: the case of overbooking. Queueing Syst. 94(1–2), 3–37 (2020)
Dudin, A., Dudina, O.: Analysis of the \(MAP/PH/1\) service system with repeat calls and energy audit. Autom. Control Comput. Sci. 45(5), 277–285 (2015)
Dudin, A.N., Lee, M.H., Dudin, S.A.: Optimization of service strategy in queueing system with energy harvesting and customers impatience. Appl. Math. Comput. Sci. 26(2), 367–378 (2016)
Shajin, D., Dudin, A., Dudina, O., Krishnamoorthy, A.: A two-priority single server retrial queue with additional items. J. Ind. Manage. Optim. https://doi.org/10.3934/jimo.2019085
Dudin, A., Dudin, S., Dudina, O., Kim, C.: Analysis of a wireless sensor node with varying rates of energy harvesting and consumption. In: Rykov, V.V., Singpurwalla, N.D., Zubkov, A.M. (eds.) ACMPT 2017. LNCS, vol. 10684, pp. 172–182. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-71504-9_16
Graham, A.: Kronecker Products and Matrix Calculus with Applications. Ellis Horwood, Cichester (1981)
Klimenok, V.I., Dudin, A.N.: Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory. Queueing Syst. 54, 245–259 (2006)
Neuts, M.F.: Matrix-Geometric Solutions in Stochastic Models. The Johns Hopkins University Press, Baltimore (1981)
Klimenok, V.I., Kim, C.S., Orlovsky, D.S., Dudin, A.N.: Lack of invariant property of Erlang \(BMAP/PH/N/0\) model. Queueing Syst. 49, 187–213 (2005)
Baumann, H., Sandmann, W.: Multi-server tandem queue with Markovian arrival process, phase-type service times, and finite buffers. Eur. J. Oper. Res. 256, 187–195 (2017)
Kim, C.S., Dudin, S., Taramin, O., Baek, J.: Queueing system \(MMAP/PH/N/N+R\) with impatient heterogeneous customers as a model of call center. Appl. Math. Model. 37, 958–976 (2013)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Dudin, S., Dudina, O., Dudin, A., Kim, C. (2020). Optimization of Signals Processing in Nodes of Sensor Network with Energy Harvesting and Expenditure for Admission and Transmission. In: Vishnevskiy, V.M., Samouylov, K.E., Kozyrev, D.V. (eds) Distributed Computer and Communication Networks. DCCN 2020. Lecture Notes in Computer Science(), vol 12563. Springer, Cham. https://doi.org/10.1007/978-3-030-66471-8_31
Download citation
DOI: https://doi.org/10.1007/978-3-030-66471-8_31
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-66470-1
Online ISBN: 978-3-030-66471-8
eBook Packages: Computer ScienceComputer Science (R0)