Abstract
In this paper, problem of positioning and optimization of operation costs for finite-buffer queuing system with exponentially distributed server vacation is investigated. The problem is solved using evolutionary computation methods for independent 2-order hyper exponential input stream of packets and exponential service time distribution. Different scenarios of system operation are analyzed, i.e. different values of parameters of distribution functions describing evolution of the system.
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References
Eiben, A., Smith, J.: Introduction to Evolutionary Computing. Springer, New York (2003)
Er, M., Shao, Z., Wang, N.: A systematic method to guide the choice of ridge parameter in ridge extreme learning machine. In: 10th IEEE International Conference on Control and Automation (ICCA 2013), pp. 852–857. IEEE Conference Publications (2013)
Er, M.J., Shao, Z., Wang, N.: A Study on the Randomness Reduction Effect of Extreme Learning Machine with Ridge Regression. In: Guo, C., Hou, Z.-G., Zeng, Z. (eds.) ISNN 2013, Part I. LNCS, vol. 7951, pp. 166–173. Springer, Heidelberg (2013)
Gabryel, M., Nowicki, R.K., Woźniak, M., Kempa, W.M.: Genetic cost optimization of the GI/M/1/N finite-buffer queue with a single vacation policy. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2013, Part II. LNCS (LNAI), vol. 7895, pp. 12–23. Springer, Heidelberg (2013)
Gabryel, M., Woźniak, M., Nowicki, R.K.: Creating learning sets for control systems using an evolutionary method. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) SIDE 2012 and EC 2012. LNCS, vol. 7269, pp. 206–213. Springer, Heidelberg (2012)
Gabryel, M., Rutkowski, L.: Evolutionary designing of logic-type fuzzy systems. In: Rutkowski, L., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2010, Part II. LNCS (LNAI), vol. 6114, pp. 143–148. Springer, Heidelberg (2010)
Gupta, U.C., Banik, A.D., Pathak, S.S.: Complete analysis of MAP/G/1/N queue with single (multiple) vacation(s) under limited service discipline. Journal of Applied Mathematics and Stochastic Analysis 3, 353–373 (2005)
Gupta, U.C., Sikdar, K.: Computing queue length distributions in MAP/G/1/N queue under single and multiple vacation. Applied Mathematics and Computation 174(2), 1498–1525 (2006)
Hetmaniok, E., Słota, D., Zielonka, A., Pleszczyński, M.: Inverse continuous casting problem solved by applying the artificial bee colony algorithm. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2013, Part II. LNCS (LNAI), vol. 7895, pp. 431–440. Springer, Heidelberg (2013)
Jiang, F.C., Huang, D.-C., Yang, C.-T., Wang, K.-H.: Mitigation techniques for the energy hole problem in sensor networks using N-policy M/G/1 queueing models. In: Proceedings of the IET International Conference: Frontier Computing. Theory, Technologies and Applications, Taichung, August 4-6 (2010)
Jiang, F.-C., Huang, D.-C., Yang, C.-T., Leu, F.-Y.: Lifetime elongation for wireless sensor network using queue-based approaches. The Journal of Supercomputing 59, 1312–1335 (2012)
Kella, O.: Optimal control of the vacation scheme in an M/G/1 queue. Operations Research Journal 38(4), 724–728 (1990)
Kempa, W.M.: The virtual waiting time in a finite-buffer queue with a single vacation policy. In: Al-Begain, K., Fiems, D., Vincent, J.-M. (eds.) ASMTA 2012. LNCS, vol. 7314, pp. 47–60. Springer, Heidelberg (2012)
Kempa, W.M.: On departure process in the batch arrival queue with single vacation and setup time. Annales UMCS Informatica 10(1), 93–102 (2010)
Kempa, W.M.: Characteristics of vacation cycle in the batch arrival queuing system with single vacations and exhaustive service. International Journal of Applied Mathematics 23(4), 747–758 (2010)
Kempa, W.M.: GI/G/1/ ∞ batch arrival queuing system with a single exponential vacation. Mathematical Methods of Operations Research 69(1), 81–97 (2009)
Kempa, W.M.: Some new results for departure process in the M X/G/1 queuing system with a single vacation and exhaustive service. Stochastic Analysis and Applications 28(1), 26–43 (2009)
Lillo, R.E.: Optimal operating policy for an M/G/1 exhaustive server-vacation model. Methodology and Computing in Applied Probability 2(2), 153–167 (2000)
Ma, D., Er, M., Wang, B., Lim, H.: A novel approach toward source-to-sink distance estimation in wireless sensor networks. IEEE Communications Letters 14(5), 384–386 (2010)
Ma, D., Er, M., Wang, B.: Analysis of Hop-Count-Based Source-to-Destination Distance Estimation in Wireless Sensor Networks With Applications in Localization. IEEE T. Vehicular Technology 59(6), 2998–3011 (2010)
Mancuso, V., Alouf, S.: Analysis of power saving with continuous connectivity. Computer Networks Journal 56, 2481–2493 (2012)
Michalewicz, Z.: Genetic Algorithms + Data Structures = Evolution Programs, 3rd edn. Springer, New York (1996)
Niu, Z., Takahashi, Y.: A finite-capacity queue with exhaustive vacation/close-down/setup times and Markovian arrival processes. Queueing Systems 31, 1–23 (1999)
Niu, Z., Shu, T., Takahashi, Y.: A vacation queue with setup and close-down times and batch Markovian arrival processes. Performance Evaluation Journal 54(3), 225–248 (2003)
Nowak, A., Woźniak, M.: Algorithm for optimization of the active module by the use of genetic algorithm. Acta Mechanica Slovaca 3C, 307–316 (2008)
Shao, Z., Er, M.: A review of inverse reinforcement learning theory and recent advances. In: IEEE Congress on Evolutionary Computation (CEC 2012), pp. 1–8. IEEE Conference Publications (2012)
Shao, Z., Er, M., Huang, G.: Receding Horizon Cache and Extreme Learning Machine based Reinforcement Learning. In: 12th International Conference on Control Automation Robotics & Vision (ICARCV 2012), pp. 1591–1569. IEEE Conference Publications (2012)
Takagi, H.: Queueing Analysis, Vacation and Priority Systems, Finite Systems, vol. 1,2. North-Holland, Amsterdam (1993)
Teghem, J.: Control of the service process in a queueing system. European Journal of Operations Research 23, 141–158 (1986)
Tian, N., Zhang, Z.G.: Vacation queueing models. Theory and applications. Springer, New York (2006)
Woźniak, M., Kempa, W.M., Gabryel, M., Nowicki, R.K.: A finite-buffer queue with single vacation policy - analytical study with evolutionary positioning. International Journal of Applied Mathematics and Computer Science (accepted, 2014)
Zhou, Y., Er, M.: An Evolutionary Approach Toward Dynamic Self-Generated Fuzzy Inference Systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B 38(4), 963–969 (2008)
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Woźniak, M., Kempa, W.M., Gabryel, M., Nowicki, R.K., Shao, Z. (2014). On Applying Evolutionary Computation Methods to Optimization of Vacation Cycle Costs in Finite-Buffer Queue. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2014. Lecture Notes in Computer Science(), vol 8467. Springer, Cham. https://doi.org/10.1007/978-3-319-07173-2_41
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DOI: https://doi.org/10.1007/978-3-319-07173-2_41
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