Abstract
The growth of computer industry has had a profound influence on many areas; Management and Manufacturing Sciences are undoubtedly two of them. The exploitation of the available computational power of the new technology has rendered possible the development and solution of realistic models, which capture many of the intricacies and take into account the plethora of data involved in most of the real-life problems. Network programming is one of the most extensively studied areas, and there has been a lot of work carried out on network formulation and computer implementation techniques. The major reasons that network modelling is such a popular tool among decision-makers are: i) many of the problems coming up in real-life applications have a network structure; the shortest path, assignment, scheduling, transportation and transshipment problems are the most common ones, ii) the pictorial nature of the model permits the easy statement of the problem, the conceptualzation, interpretation and verification of it and of the optimal solution, and also, the communication of relating ideas to non-scientific staff, iii) finally, the enhancement of the pure network model to the so-called Generalized Network (GN) model makes the model applicable to a great variety of problems ranging from integrated production and distribution planning to such exotic areas like file reduction and plastic-limits analysis.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bertsekas P.D., Linear Network Optimization: Algorithms and codes, MIT Press, 1992.
Bertsekas P.D. and P. Tseng, “Relaxation Methods for Minimum Cost Ordinary and Generalized Network Flow Problems”, Oper. Res., Vol. 36, pp. 93–114, 1988.
Brown J. and R. McBride, “Solving Generalized Networks”, ManagementSci., Vol. 30, pp.1497–1523, 1984.
Dantzig B.G., Linear Programming and Extensions, Princeton University Press, Princeton, N.J., 1963.
Dembo S.R., Mulvey M.J., and A.S. Zenios, “Large-Scale Nonlinear Network Models and their Applications”, Operations Res., Vol. 37, pp. 353–372, 1989.
Elam J., Glover F. and D. Klingman, “A strongly Convergent Primal Simplex Algorithm for Generalized Networks”, Math. Oper. Res., Vol.4, pp. 39–59, 1979.
Glover F., Jones J., Karns D., Klingman D. and J. Mote, “An Integrated Production, Distribution and Inventory Planning System”, Interfaces, Vol. 9, pp. 21–35, 1979.
Glover F., Hultz J., Klingman D., “Improved Computer-Based Planning Techniques, Part I”, Interfaces, Vol. 8, pp. 16–25, 1978.
Glover F., Hultz J., Klingman D. and J. Stutz, “Generalized Networks: A Fundamental Computer-Based Planning Tool”, Management Sci., Vol. 24, pp. 1209–1220, 1978.
Glover F., Hultz J., Klingman D., “Improved Computer-Based Planning Techniques, Part II”, Interfaces, Vol. 9, pp. 12–20, 1979.
Gongran M., Minoux M. and S. Vajda, Graphs and Algorithms, John Wiley 1984.
Jensen A.P. and G. Bhaumic, “A Flow Augmentation Approach to the Network with Gains Minimum Cost Flow Problem”, Management Sci., Vol. 23, pp. 631–643, 1977.
Jewell S.W., “Optimal Flow through Networks with Gains”, Operations Res., Vol. 10, pp. 476–499, 1962.
Maurras J.F., “Optimization of the Flow through Networks with Gains”, Mathematical Programming, Vol. 3, pp. 135–144, 1972.
McBride R. “Solving Embedded Generalized Network Problems”, Eur. J. Opl. Res., Vol. 21, pp. 82–92, 1985.
Reveliotis S. and G. Kapsiotis, “Genet-Optimiser”, ESPRIT CMSO Report, DECE-IRAL, NTUA, Athens, 1990.
Tzafestas S., Kapsiotis G. and S. Reveliotis, “A Dual Algorithm for Post-Optimization of the Generalized Network Optimal Flow Problem”, Foundation of Computing & Decision Sci., Vol. 16, No.1, pp.39–54, 1991.
Tzafestas S., Kapsiotis G. and S. Reveliotis, “The Generalized Network Approach to Optimized Decision Making and Planning”, In: Systems and Simulation (A. Sydow Editor), North Holland 1992.
Zahorik A., Thomas J. and W. Trigeiro, “Network Programming Models for Production Scheduling in Multi-stage, Multi-item Capacitated Systems”, Management Sci., Vol. 30, pp. 308–325, 1984.
Tzafestas S., Pimenidis T. and G. Kapsiotis, “Expert Decision Support Based on the Generalized Network Model: An Application to Transportation Planning”, EUROSIM’ 95: European Simulation Congress, Technical University of Vienna, Vienna, Austria (Sept. 11–15, 1995).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer-Verlag London Limited
About this chapter
Cite this chapter
Tzafestas, S., Kapsiotis, G. (1997). The Generalized Network Model: Algorithms and Application to Manufacturing Operations. In: Tzafestas, S.G. (eds) Computer-Assisted Management and Control of Manufacturing Systems. Advanced Manufacturing. Springer, London. https://doi.org/10.1007/978-1-4471-0959-4_16
Download citation
DOI: https://doi.org/10.1007/978-1-4471-0959-4_16
Publisher Name: Springer, London
Print ISBN: 978-3-540-76110-5
Online ISBN: 978-1-4471-0959-4
eBook Packages: Springer Book Archive