{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:55:54Z","timestamp":1760241354280,"version":"build-2065373602"},"reference-count":30,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2018,1,18]],"date-time":"2018-01-18T00:00:00Z","timestamp":1516233600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004564","name":"Ministry of Education, Science and Technological Development","doi-asserted-by":"publisher","award":["TR 32023"],"award-info":[{"award-number":["TR 32023"]}],"id":[{"id":"10.13039\/501100004564","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>This paper presents a method for shortening the computation time and reducing the number of math operations required in complex calculations for the analysis, simulation, and design of processes and systems. The method is suitable for education and engineering applications. The efficacy of the method is illustrated with a case study of a complex wireless communication system. The computer algebra system (CAS) was applied to formulate hypotheses and define the joint probability density function of a certain modulation technique. This innovative method was used to prepare microsimulation-semi-symbolic analyses to fully specify the wireless system. The development of an iteration-based simulation method that provides closed form solutions is presented. Previously, expressions were solved using time-consuming numerical methods. Students can apply this method for performance analysis and to understand data transfer processes. Engineers and researchers may use the method to gain insight into the impact of the parameters necessary to properly transmit and detect information, unlike traditional numerical methods. This research contributes to this field by improving the ability to obtain closed form solutions of the probability density function, outage probability, and considerably improves time efficiency with shortened computation time and reducing the number of calculation operations.<\/jats:p>","DOI":"10.3390\/e20010062","type":"journal-article","created":{"date-parts":[[2018,1,18]],"date-time":"2018-01-18T12:19:48Z","timestamp":1516277988000},"page":"62","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["An Operation Reduction Using Fast Computation of an Iteration-Based Simulation Method with Microsimulation-Semi-Symbolic Analysis"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8530-2312","authenticated-orcid":false,"given":"Vladimir","family":"Mladenovic","sequence":"first","affiliation":[{"name":"Faculty of Technical Sciences Cacak, University of Kragujevac, 32000 Cacak, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Danijela","family":"Milosevic","sequence":"additional","affiliation":[{"name":"Faculty of Technical Sciences Cacak, University of Kragujevac, 32000 Cacak, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Miroslav","family":"Lutovac","sequence":"additional","affiliation":[{"name":"The School of Electrical Engineering and Computer Science of Applied Studies Belgrade, 11000 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yigang","family":"Cen","sequence":"additional","affiliation":[{"name":"School of Computer and Information Technology, Beijing Jiaotong University, 100044 Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Matjaz","family":"Debevc","sequence":"additional","affiliation":[{"name":"The Faculty of Electrical Engineering and Computer Science, University of Maribor, 2000 Maribor, Slovenia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,1,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1016\/j.jvcir.2017.08.006","article-title":"SURF Binarization and Fast Codebook Construction for Image Retrieval","volume":"49","author":"Kan","year":"2017","journal-title":"J. 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Entropy, 19.","DOI":"10.3390\/e19100515"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Kakar, J., and Sezgin, A. (2017). A Survey on Robust Interference Management in Wireless Networks. Entropy, 19.","DOI":"10.3390\/e19070362"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1016\/j.jss.2017.02.013","article-title":"Continuous Delivery: Overcoming adoption challenges","volume":"128","author":"Chen","year":"2017","journal-title":"J. Syst. Softw."},{"key":"ref_8","unstructured":"Ferrari, G., Colavolpe, G., and Raheli, R. (2004). Detection Algorithms for Wireless Communications, John Wiley & Sons Ltd."},{"key":"ref_9","unstructured":"Glover, I.A., and Grant, P.M. (2010). Digital Communications, Prentice Hall. [3th ed.]."},{"key":"ref_10","unstructured":"Barringer, J.P. (2014). Computer Algebra and Symbolic Processing in Modern Telecommunication Applications: A New Kind of Survey. Telecommunications: Applications, Modern Technologies and Economic Impact, Nova Science Publishers."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"303","DOI":"10.24846\/v25i3y201604","article-title":"An Iteration-Based Simulation Method for Getting Semi-Symbolic Solution of Non-coherent FSK\/ASK System by Using Computer Algebra Systems","volume":"25","author":"Mladenovic","year":"2016","journal-title":"Stud. Inform. Control"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"157","DOI":"10.2298\/SJEE151118002M","article-title":"A novel-iterative simulation method for performance analysis of non-coherent FSK\/ASK systems over Rice\/Rayleigh channels using the Wolfram language","volume":"13","author":"Mladenovic","year":"2016","journal-title":"Serbian J. Electr. Eng."},{"key":"ref_13","unstructured":"Wolfram, S. (2017). An Elementary Introduction to the Wolfram Language, Wolfram Media, Inc."},{"key":"ref_14","unstructured":"Anton, H. (1999). Calculus: A New Horizon, Wiley. [6th ed.]."},{"key":"ref_15","unstructured":"Weisstein, E.W. (2017, September 01). Riemann Sum, Wolfram Web Resource. Available online: http:\/\/mathworld.wolfram.com\/RiemannSum.html."},{"key":"ref_16","unstructured":"Castiglione, F. (2001). Microsimulation of Complex System Dynamics: Automata Models in Biology and Finance. [Ph.D. Thesis, Universit\u00e4t zu K\u00f6ln]."},{"key":"ref_17","unstructured":"Grabowski, D., Grimm, C., and Barke, E. (2006, January 21\u201324). Semi-symbolic modeling and simulation of circuits and systems. Proceedings of the IEEE International Symposium on Circuits and Systems, Kos, Greece."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Gil, L., and Radetzki, M. (2017, January 28\u201331). Semi-symbolic operational computation for robust control system design. Proceedings of the 22nd International Conference on Methods and Models in Automation and Robotics (MMAR), Miedzyzdroje, Poland.","DOI":"10.1109\/MMAR.2017.8046927"},{"key":"ref_19","unstructured":"Abramowitz, M., and Stegun, I. (1964). Handbook of Mathematical Functions, National Bureau of Standards."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Stefanovic, D., Panic, S., and Spalevic, P. (2010). Second-order statistics of SC macrodiversity system operating over Gamma shadowed Nakagami-m fading channels. Int. J. Electron. Commun. (AE\u00dc).","DOI":"10.1016\/j.aeue.2010.05.001"},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Radwan, A., and Rodriguez, J. (2015). Energy Efficient Smart Phones for 5G Networks, Springer.","DOI":"10.1007\/978-3-319-10314-3"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Borhani, A., and Patzold, M. (2012, January 3\u20136). Modeling of Vehicle-to-Vehicle Channels in the Presence of Moving Scatterers. Proceedings of the 2012 IEEE Vehicular Technology Conference (VTC Fall), Quebec City, QC, Canada.","DOI":"10.1109\/VTCFall.2012.6398895"},{"key":"ref_23","unstructured":"Patzold, M. (2011). Mobile Radio Channels, John Wiley & Sons. [2nd ed.]."},{"key":"ref_24","unstructured":"Patzold, M. (2003). Mobile Fading Channels, John Wiley & Sons, Ltd."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"205","DOI":"10.24846\/v22i2y201310","article-title":"Development of Aeronautical Communication System for Air Traffic Control Using OFDM and Computer Algebra Systems","volume":"22","author":"Lutovac","year":"2013","journal-title":"Stud. Inform. Control"},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Martinez, W., and Martinez, A. (2015). Computational Statistics Handbook with MATLAB, Chapman & Hall\/CRC.","DOI":"10.1201\/b19035"},{"key":"ref_27","unstructured":"Andrews, G., Askey, R., and Roy, R. (2001). Special Functions (Encyclopedia of Mathematics and its Applications), Cambridge University Press."},{"key":"ref_28","first-page":"55","article-title":"Closed forms: What they are and why we care","volume":"60","author":"Borwein","year":"2013","journal-title":"Not. Am. Math. Soc."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"415","DOI":"10.2298\/SJEE1703415M","article-title":"Fast Computation of the Iteration-Based Simulation Method\u2014Case Study of Non-coherent ASK with Shadowing","volume":"14","author":"Mladenovic","year":"2017","journal-title":"Serbian J. Electr. Eng."},{"key":"ref_30","unstructured":"(2017, December 19). 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