Mathematical Modeling and Computation of Real-Time Problems: An Interdisciplinary Approach
暫譯: 實時問題的數學建模與計算：跨學科方法

本書採用跨學科的方法來理解數學建模，提供了一系列模型、與這些模型相關的已解決問題、所採用的方法論，以及通過項目和案例研究所獲得的結果，深入探討大型實時系統的運作。

RAKHEE KULSHRESTHA is faculty in the Department of Mathematics, Birla Institute of Technology and Science, Pilani. She has received Bachelor of Science, Master of Science in Operations Research from Dr. B.R. Ambedker University, Agra. She has completed her Ph.D. from Centre for Information and Decision Sciences, B.R. Ambedkar University, Agra. There are more than 30 research publications in refereed International/National journals/proceedings and a monograph to her credit. She has participated in over 40 International/National Conferences in India and Abroad and visited many reputed universities/Institutes in Germany, Turkey, Singapore. Her research interests include the areas of applied probability, performance analysis of communication networks, inventory and supply chain management.

CHANDRA SHEKHAR, is faculty at BITS Pilani, India, is actively involved in research in the area of queueing theory, computer and communication system, machine repair problem, reliability and maintainability, stochastic process, evolutionary computation, statistical analysis, fuzzy set & logic. Besides attending, presenting scientific papers, and delivering invited talk in conferences and universities, he has a number of research articles in these fields in journals of repute. He is also a member of the editorial board and reviewer of many reputed journals and Doctoral Research Committee of many technical universities. Authorship of a textbook on Differential Equation is also to his credit.

MADHU JAIN is presently working as an Associate Professor in the Department of Mathematics, Indian Institute of Technology Roorkee, India. She has published over 400 research papers in International Journals, over 100 papers in Conference Proceeding/edited books, and 20 books. She was conferred Young Scientist Award & SERC Visiting Fellow of the Department of Science and Technology (DST), India, and Career Award of University Grant Commission (UGC), India. For outstanding contribution in research, IT Vikas Parisad, India conferred her Vigyan Gaurav award (2007). She is the recipient of the Distinguish Service Award (2011) of Vijnana Parisad of India for her outstanding contributions to Mathematics. She was Visiting Fellow of Isaac Newton Institute of Mathematical Sciences, Cambridge, UK, for during summer in 2010, 2011 & 2014. At present, Dr Madhu Jain is holding the post of President of Vijnana Parisad of India, Secretary of Operations Research Society of India, Agra Chapter, and General Secretary of Global Society of Mathematical and Allied Sciences. She has participated over 150 International/National Conferences in India and Abroad and visited many reputed universities/Institutes in USA, Canada, Australia, UK, Germany, France, Holland, Belgium, Taiwan, UAE. Her current research interest includes Performance modeling of Computer Communication Networks (CCN), Queueing theory, Software and hardware reliability, Supply chain management, Bio-informatics, Soft computing, etc.

SRINIVAS R. CHAKRAVARTHY, Kettering University, USA, is a distinguished professor and Professor of Industrial Engineering and Statistics in the Departments of Industrial and Manufacturing Engineering and Mathematics at Kettering University, Flint, Michigan, USA. He has research experience in the areas of applied stochastic modeling, applied statistics and probability, simulation for queueing, reliability, inventory, and healthcare modeling. His research is documented in more than 115 peer-reviewed publications, and he has made at least 100 presentations (including invited and plenary) in leading national and international conferences. He has also been awarded a number of honors for his pioneering teaching and research contributions. He is an area editor for the journal, Simulation Modeling Theory, and Practice, and an associate editor for the journal IAPQR TRANSACTIONS - Indian Associateship for Productivity, Quality, and Reliability. In addition, he serves as an advisory board member and reviewer for many professional journals, international conferences.

RAKHEE KULSHRESTHA 是比爾拉科技與科學學院（Birla Institute of Technology and Science, Pilani）數學系的教員。她獲得了德拉 B.R. 安貝德卡大學（Dr. B.R. Ambedkar University, Agra）的理學學士和運籌學碩士學位。她在德拉 B.R. 安貝德卡大學的資訊與決策科學中心完成了博士學位。她在國際和國內的期刊及會議上發表了超過 30 篇經過審核的研究論文，並有一部專著。她參加了超過 40 場國際和國內的會議，並訪問了德國、土耳其、新加坡等多所知名大學和研究機構。她的研究興趣包括應用概率、通信網絡的性能分析、庫存和供應鏈管理等領域。

CHANDRA SHEKHAR 是印度比爾拉科技與科學學院的教員，積極從事排隊理論、計算機與通信系統、機器維修問題、可靠性與可維護性、隨機過程、進化計算、統計分析、模糊集與邏輯等領域的研究。除了參加、發表科學論文和在會議及大學中進行受邀演講外，他在這些領域的知名期刊上發表了多篇研究文章。他還是多本知名期刊的編輯委員會成員和審稿人，以及多所技術大學的博士研究委員會成員。他還著有一本關於微分方程的教科書。

MADHU JAIN 目前擔任印度羅爾基印度理工學院（Indian Institute of Technology Roorkee）數學系的副教授。她在國際期刊上發表了超過 400 篇研究論文，在會議論文集/編輯書籍中發表了超過 100 篇論文，並出版了 20 本書籍。她曾獲得印度科學與技術部（Department of Science and Technology, DST）的青年科學家獎和 SERC 訪問學者，還獲得了印度大學授權委員會（University Grant Commission, UGC）的職業獎。因在研究方面的傑出貢獻，印度 IT Vikas Parisad 頒發給她 Vigyan Gaurav 獎（2007）。她是印度 Vijnana Parisad 的傑出服務獎（2011）獲得者，因其對數學的傑出貢獻而獲獎。她曾於 2010、2011 和 2014 年的夏季擔任英國劍橋的艾薩克·牛頓數學科學研究所（Isaac Newton Institute of Mathematical Sciences）的訪問學者。目前，Madhu Jain 博士擔任印度 Vijnana Parisad 的會長、印度運籌學會（Operations Research Society of India）阿格拉分會的秘書，以及全球數學與相關科學學會的總秘書。她參加了超過 150 場國際和國內的會議，並訪問了美國、加拿大、澳大利亞、英國、德國、法國、荷蘭、比利時、台灣、阿聯酋等多所知名大學和研究機構。她目前的研究興趣包括計算機通信網絡（CCN）的性能建模、排隊理論、軟硬體可靠性、供應鏈管理、生物信息學、軟計算等。

SRINIVAS R. CHAKRAVARTHY 是美國凱特林大學（Kettering University）的傑出教授，擔任工業工程和統計學的教授，並在凱特林大學的工業與製造工程系和數學系任教。他在應用隨機建模、應用統計與概率、排隊模擬、可靠性、庫存和醫療建模等領域擁有研究經驗。他的研究成果已在超過 115 篇經過同行評審的出版物中記錄，並在多場國內外重要會議上進行了至少 100 次的報告（包括受邀和全體會議）。他因其開創性的教學和研究貢獻獲得了多項榮譽。他是期刊《Simulation Modeling Theory and Practice》的區域編輯，並擔任期刊《IAPQR TRANSACTIONS - Indian Associateship for Productivity, Quality, and Reliability》的副編輯。此外，他還擔任多本專業期刊和國際會議的顧問委員會成員和審稿人。