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Analysis of an M|G|1|R queue with batch arrivals and two hysteretic overload control policies

-378. Abaev, P.O., Gaidamaka, Y.V., Pechinkin, A.V., Razumchik, R.V. and Shorgin, S.Y. (2012b). Simulation of overload control in SIP server networks, Proceedings of the 26th European Conference on Modelling and Simulation, ECMS 2012, Koblenz, Germany, pp. 533-539. Abaev, P., Gaidamaka, Y., Samouylov, K., Pechinkin, A., Razumchik, R. and Shorgin, S. (2014). Hysteretic control technique for overload problem solution in network of SIP servers, Computing and Informatics 33(1): 1-18. Bekker, R. (2009). Queues with levy input and hysteretic

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Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services

, Queueing Systems 76(2): 205-221. Zeifman, A., Korotysheva, A., Korolev, V. and Satin, Y. (2016a). Truncation bounds for approximations of inhomogeneous continuous-time Markov chains, Probability Theory and Its Applications 61(3): 563-569, (in Russian). Zeifman, A., Korotysheva, A., Satin, Y., Shilova, G., Razumchik, R., Korolev, V. and Shorgin, S. (2016b). Uniform in time bounds for “no-wait” probability in queues of Mt/Mt/S type, Proceedings of the 30th European Conference on Modelling and Simulation, ECMS 2016, Regensburg, Germany, pp

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Multilayered Autoscaling Performance Evaluation: Can Virtual Machines and Containers Co–Scale?

Kolodziej, J. (2017). Security supportive energy aware scheduling and scaling for cloud environments, European Conference on Modelling and Simulation, ECMS 2017, Budapest, Hungary, pp. 583–590. Jindal, A., Podolskiy, V. and Gerndt, M. (2017). Multilayered cloud applications autoscaling performance estimation, 2017 IEEE 7th International Symposium on Cloud and Service Computing (SC2), Kanazawa, Japan , pp. 24–31. Versluis, L. and Neacsu, A.I. (2017). A trace-based performance study of autoscaling workloads of workflows in datacenters, Technical Report 1711

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Modern approaches to modeling user requirements on resource and task allocation in hierarchical computational grids

-100. Kołodziej, J., Xhafa, F. and Kolanko, L. (2009). Hierarchic genetic scheduler of independent jobs in computational grid environment, in J. Otamendi, A. Bargiela, J.L. Montes and L.M. Doncel Pedrera (Eds.), Proceedings of ECMS 2009, Madrid, Spain , IEEE Press, Los Alamitos, CA, pp. 108-115. Kwok, Y.-K., Hwang, K. and Song, S. (2007). Selfish grids: Game-theoretic modeling and nas/psa benchmark evaluation, IEEE Transactions on Parallel and Distributing Systems 18 (5): 1-16. Laccetti, G. and Schmidb, G. (2007). A

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Extension of tumor fingers: A comparison between an individual-cell based model and a measure theoretic approach


The invasive capability is fundamental in determining the malignancy of a solid tumor. In particular, tumor invasion fronts are characterized by different morphologies, which result both from cell-based processes (such as cell elasticity, adhesive properties and motility) and from subcellular molecular dynamics (such as growth factor internalization, ECM protein digestion and MMP secretion). Of particular relevance is the development of tumors with unstable fingered morphologies: they are in fact more aggressive and hard to be treated than smoother ones as, even if their invasive depth is limited, they are difficult to be surgically removed. The phenomenon of malignant fingering has been reproduced with several mathematical approaches. In this respect, we here present a qualitative comparison between the results obtained by an individual cell-based model (an extended version of the cellular Potts model) and by a measure-based theoretic method. In particular, we show that in both cases a fundamental role in finger extension is played by intercellular adhesive forces and taxis-like migration.

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