The intertemporal supply chain models presented in Chapters 4 and 5 focus on inventory, production and pricing relationships between a supplier and a retailer according to different types of demands. However, in reality, there are many other factors that affect members of a supply chain. For example, uncertainty can be associated not only with demands but also with production yields. The firms may utilize common resources such as energy, raw materials, budget and logistics infrastructure, which can be limited or delivered by a supplier of bounded capacity. Furthermore, the firms may choose to expand their outsourcing activities to include repair and maintenance operations rather than just production or inventory.
In this chapter we extend our attention to broader issues and consider supply chains in which the parties collaborate to gain centralized control over decision-making. We are thus interested in reexamining system-wide optimal production and inventory policies to account for additional constraints and conditions imposed on supply chains. Special attention is paid here to production control of multiple manufacturers sharing limited supply chain resources.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Anderson MQ (1981) Monotone optimal preventive maintenance policies for stochastically failing equipment. Naval Research Logistics Quarterly 28 (3):347-58.
Akella R, Kumar PR. (1986) Optimal control of production rate in a failure prone manufacturing system. IEEE Transactions on Automatic Control, AC-31(2): 116-126.
Boukas EK, Liu ZK (1999) Production and maintenance control for manufacturing system. Proceedings of the 38th IEEE Conference on Decision and Control, IEEE vol.1: 51-6 1999.
Boukas K, Haurie AR (1988) Planning production and preventive maintenance in a flexible manufacturing system: a stochastic control approach. Proceedings of the 27th IEEE Conference on Decision and Control, vol. 3: 2294-300.
Cho DI, Abad PL, Parlar M (1993) Optimal production and maintenance decisions when a system experiences age-dependent deterioration. Optimal Control Applications & Methods 14 (3):153-67, 1993.
Gerchak Y, Vickson R, Parlar M. (1988) Periodic review production models with variable yield and uncertain demand. IIE Transactions 20: 144-150.
Gradshteyn IS, Ryzhik IM (1980) Tables of Integrals; Series and Products, Academic Press, London.
Haurie A (1995) Time scale decomposition in production planning for unreliable flexible manufacturing system. European Journal of Operational Research 82: 339-358.
Khmelnitsky E, Caramanis M (1998) One-Manufacturer N-Part-Type Optimal Set-up Scheduling: Analytical Characterization of Switching Surfaces. IEEE Transactions on Automatic Control 43(11): 1584-1588.
Khouja M (1999) The Single Period (News-Vendor) Inventory Problem: A Literature Review and Suggestions for Future Research. Omega 27: 537-553.
Kimemia JG (1982) Hierarchical control of production in flexible manufacturing systems, Ph.D. dissertation, Mass. Inst. Technol., Cambridge, MA.
Kimemia JG, Gershwin SB (1983) An algorithm for the computer control of production in flexible manufacturing systems. IEEE Transactions on Automatic Control AC-15: 353-362.
Kloeden P, Platen E (1999) Numerical Solution of Stochastic Differential Equations, Springer.
Kogan K, Khmelnitsky E (1998). Tracking Demands in Optimal Control of Managerial Systems with Continuously-divisible, Doubly Constrained Resources. Journal of Global Optimization 13: 43-59.
Kogan K, Lou S (2003) Multi-stage newsboy problem: a dynamic model. EJOR 149(2): 2003, 448-458.
Kogan K, Lou S (2005) Single Machine with Wiener Increment Random Yield: Optimal Off-Line Control. IEEE Transactions on Automatic Control 50(11): 1850-1854.
Kogan K, Lou S, Herbon A (2002) Optimal Control of a Resource-Sharing Multi-Processor with Periodic Maintenance. IEEE Transactions on Automatic Control 47(6): 1342-1346.
Liu L, Pu C, Schwan K, Walpole J (2000) InfoFilter: supporting quality of service for fresh information delivery. New Generation Computing, 18(4): 305-321, 2000.
Maimon O, Khmelnitsky E, Kogan K (1998) Optimal Flow Control in Manufacturing Systems: Production Planning and Scheduling, Kluwer Academic Publisher, Boston.
Shu C, Perkins JR (2001) Optimal PHP production of multiple part-types on a failure-prone manufacturer with quadratic warehouse costs. IEEE Transactions on Automatic Control AC-46: 541-549.
Silver EA, Pyke DF, Peterson R (1998). Inventory Management and Production Planning and Scheduling, John Wiley & Sons.
Pinedo M (1995) Scheduling: Theory, Algorithms and Systems, Prentice Hall, New Jersey.
Wang, Y, Gerchak Y. (2000). Input control in a batch production system with lead times, due dates and random yields. European Journal of Operational Research 126: 371-385.
Yano CA, Lee HL (1995) Lot sizing with random yields: A review. Operations Research 43(2): 311-334.
Rights and permissions
Copyright information
© 2007 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
(2007). Sustainable collaboration in supply chains. In: Supply Chain Games: Operations Management And Risk Valuation. International Series In Operations Research & Management Science, vol 113. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-72776-9_6
Download citation
DOI: https://doi.org/10.1007/978-0-387-72776-9_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-72775-2
Online ISBN: 978-0-387-72776-9
eBook Packages: Business and EconomicsBusiness and Management (R0)