@article{4a4597c242a54281a63d018265e4ca02,
title = "Node generation and capacity reallocation in open Jackson networks",
abstract = "This article investigates methods for reallocation of service capacities in open Jackson networks in order to minimize either a system's mean total work-in-process or its response time. The focus is mainly on a method called node generation, by which capacity can be transferred from a node in echelon j to a newly generated node in echelon j + 1. The proposed procedure is compared with the more conventional capacity redistribution method, by which capacity can be transferred from any node in echelon j to existing successor nodes in echelon j + 1. Formulation of each method as a mathematical programming problem reveals the structure of the optimal solution for both problems. The motivation for considering these approaches stems from real-life settings, in particular, from a production line or supply chains where the two types of capacity reallocation are applied. Heuristic methods are developed to solve relatively large networks in tractable time. Numerical results and analyses are presented.",
keywords = "Capacity, Jackson networks, Queueing, Reallocation, Redistribution, Response time, WIP",
author = "Imry Rosenbaum and Irad Ben-Gal and Uri Yechiali",
note = "Funding Information: Irad Ben-Gal is the Head of the Department of Industrial Engineering & Management at Tel Aviv University. His research include statistical methods for control and analysis of complex processes, machine learning, and data-mining applications to industrial and service systems. He wrote and edited five books, has published more than 80 scientific papers and patents, received numerous best papers awards and supervised dozens of graduate students. He is a Department Editor in IIE Transactions on Quality and Reliability and serves in the Editorial Boards of several other international journals. Prof. Ben-Gal is the Chair-Elect of the Quality Statists and Reliability society at the Institute for Operations Research and Management Sciences (INFORMS), The European Network for Business and Industrial Statistics (ENBIS) and the International Statistical Institute (ISI). He received several research grants and awards, among them from General Motors, IEEE, Israel Ministry of Science, Israel Internet Association, Israel Scientific Foundation (ISF), Israeli Prime Minister Ministry and the European Community. He led many R&D projects and worked with companies such as IBM, Pratt & Whitney, Siemens, Proctor and Gamble, Kimberly-Clark, Applied Materials, Erikson, SAS, SAP and more. Irad is a co-founder of Context-Based 4casting (C-B4), a software company that developed novel predictive analytics tools for retail and service organizations. His website is http://www.eng.tau.ac.il/∼bengal/ Uri Yechiali received a B.Sc. degree in Industrial Engineering (Cum Laude, 1964) and a M.Sc. degree in Operations Research (1996), both from the Technion, Israel Institute of Technology, and a Ph.D. degree in Operations Research (1969) from Columbia University, New York. After two years as a faculty member at NYU he joined the Department of Statistics and Operations Research at Tel Aviv University, Israel, and served there as a Professor of Operations Research for 34 years, six of them as the department{\textquoteright}s Chairman. Over the years he held various visiting positions at NYU, Columbia University, Inria (France) and Eurandom (Holland). In 2004 he received a Life Achievement Award from the Operations Research Society of Israel. Professor Yechiali published over 120 research papers in leading scientific journals in the areas of Queueing Theory, Polling Systems, Telecommunications, Reliability, Stochastic Modeling and Operations Research. After retiring from TAU he founded and chaired (2006–2011) the Department of Industrial Engineering and Management at Afeka College of Engineering, Tel Aviv, Israel. His current research interests are Queueing Theory, Polling Systems, and bridging biological and physical systems with queueing theory. His website is http://www.math.tau.ac.il/∼uriy/",
year = "2013",
doi = "10.1080/0740817X.2012.677571",
language = "الإنجليزيّة",
volume = "45",
pages = "259--272",
journal = "IIE Transactions (Institute of Industrial Engineers)",
issn = "0740-817X",
publisher = "Taylor and Francis Ltd.",
number = "3",
}