Incorporating non-empty initial states into MRP Theory

References

• Aseltine, J. A. 1958. Transform Method in Linear System Analysis. New York: McGraw-Hill.
   Google Scholar
• Battini, D., M. Calzavara, F. Sgarbossa, A. Persona, et al. 2017. “MRP Theory Supporting Trade-Off Between Investments in Collaborative Robots and Production in Foreign Countries for a Water Pumps Supply Chain.” In SOR ‘17 Proceedings, edited by L. Zadnik Stirn, 229–234. Ljubljana: SDI-SOR.
   Google Scholar
• Bogataj, M. 1999. “Inventory Allocation and Customer Travelling Problem in Spatial Duopoly.” International Journal of Production Economics 59: 271–279.
   Web of Science ®Google Scholar
• Bogataj, D., and M. Bogataj. 2019. “NPV Approach to Material Requirements Planning Theory – a 50-Year Review of These Research Achievements.” International Journal of Production Research 57 (15/16): 5137–5153.
   Web of Science ®Google Scholar
• Bogataj, M., and R. W. Grubbström. 2012. “On the Representation of Timing for Different Structures Within MRP Theory.” International Journal of Production Economics 140: 749–755.
   Web of Science ®Google Scholar
• Bogataj, M., and R. W. Grubbström. 2013. “Transportation Delays in Reverse Logistics.” International Journal of Production Economics 143: 395–402.
   Web of Science ®Google Scholar
• Buser, S. A. 1986. “LaPlace Transforms as Present Value Rules: A Note.” Journal of Finance 41: 243–247.
   Web of Science ®Google Scholar
• Churchill, R. V. 1958. Operational Mathematics. New York: McGraw-Hill.
   Google Scholar
• Churchill, R. V. 1960. Complex Variables and Applications. New York: McGraw-Hill.
   Google Scholar
• Deakin, M. A. B. 1981. “The Development of the Laplace Transform, 1737-1937: I. Euler to Spitzer, 1737-1880.” Archive for History of Exact Sciences 25: 343–390.
   Web of Science ®Google Scholar
• Deakin, M. A. B. 1982. “The Development of the Laplace Transform, 1737-1937: Ii. Poincaré to Doetsch, 1880 -1937.” Archive for History of Exact Sciences 26: 351–381.
   Web of Science ®Google Scholar
• Deakin, M. A. B. 1992. “The Ascendancy of the Laplace Transform and how it Came About.” Archive for History of Exact Sciences 44: 265–286.
   Web of Science ®Google Scholar
• Gonzáles Sampayo, M. 2006. Engineering Problem Solving. The case of the Laplace transform as a difficulty in learning in electric circuits and as a tool to solve real world problems, Linköping Studies in Science and Technology, Dissertation No 1038, Norrköping 2006.
   Google Scholar
• Grubbström, R. W. 1967. “On the Application of the Laplace Transform to Certain Economic Problems.” Management Science 13: 558–567.
   Google Scholar
• Grubbström, R. W. 1980. “A Principle for Determining the Correct Capital Costs of Work-in-Progress and Inventory.” International Journal of Production Research 18 (2): 259–271.
   Web of Science ®Google Scholar
• Grubbström, R. W. 2007. “Transform Methodology Applied to Some Inventory Problems.” Zeitschrift für Betriebswirtschaft 77 (3): 297–324.
   Google Scholar
• Grubbström, R. W. 2018. “Risk Preference Evaluation - a Fourth Dimension of the Application of the Laplace Transform.” International Journal of Production Research 56 (1–2): 344–373.
   Web of Science ®Google Scholar
• Grubbström, R. W. 2021a. “Production Decisions Based on Absolute vs. Relative Risk Aversion and Their Extensions.” International Journal of Production Economics 234: 108036.
   Web of Science ®Google Scholar
• Grubbström, R. W. 2021b. “Transient Aspects of MRP Theory – Abriged.” Tehnički Glasnik 15 (2): 287–297.
   Web of Science ®Google Scholar
• Grubbström, R. W., L. Bogataj, and M. Bogataj. 2010. “Optimal Lotsizing Within MRP Theory.” Annual Reviews in Control 34 (1): 89–100.
   Web of Science ®Google Scholar
• Grubbström, R. W., and T. T. T. Huynh. 2006. “Analysis of Standard Ordering Policies Within the Framework of MRP Theory.” International Journal of Production Research 44: 3759–3773.
   Web of Science ®Google Scholar
• Grubbström, R. W., and B. G. Kingsman. 2004. “Ordering and Inventory Policies for Step Changes in the Unit Item Cost: A Discounted Cash Flow Approach.” Management Science 50: 253–267.
   Web of Science ®Google Scholar
• Grubbström, R. W., and P. Ovrin. 1992. “Intertemporal Generalization of the Relationship Between Material Requirements Planning and Input-Output Analysis.” International Journal of Production Economics 26: 311–318.
   Web of Science ®Google Scholar
• Grubbström, R. W., and O. Tang. 2000a. “An Overview of Input-Output Analysis Applied to Production-Inventory Systems.” Economic Systems Research 12 (1): 3–25.
   Google Scholar
• Grubbström, R. W., and O. Tang. 2000b. “Modelling Rescheduling Activities in a Multi-Period Production-Inventory System.” International Journal of Production Economics 68 (2): 123–135.
   Web of Science ®Google Scholar
• Grubbström, R. W., and O. Tang. 2012. “The Space of Solution Alternatives in the Optimal Lotsizing Problem for General Assembly Systems Applying MRP Theory.” International Journal of Production Economics 140: 765–777.
   Web of Science ®Google Scholar
• Koopmans, T. C. 1951. Activity Analysis of Production and Allocation. New York: Wiley.
   Google Scholar
• Kovačić, D., E. Hontoria, L. Ros-McDonnell, and M. Bogataj. 2015. “Location and Lead-Time Perturbations in Multi-Level Assembly Systems of Perishable Goods in Spanish Baby Food Logistics.” Central European Journal of Operations Research 23: 607–623.
   Web of Science ®Google Scholar
• Laplace, P.-S. 1799. Traité de Mécanique Céleste. Paris: J.B.M. Duprat, Libraire pour les Mathématiques.
   Google Scholar
• Laplace, P.-S. 1812. Théorie Analytique des Probabilitiés. Paris: Mme Ve Courcier, Imprimeur-libraire pour les Mathématiques.
   Google Scholar
• Leontief, W. W. 1928. “Die Wirtschaft als Kreislauf.” Archiv für Sozialwissenschaft und Sozialpolitik 60: 577–623.
   Google Scholar
• Leontief, W. W. 1936. “Quantitative Input and Output Relations in the Economic Systems of the United States.” The Review of Economics and Statistics 18 (3): 105–125.
   Google Scholar
• Martin, R. L. 1997. “Modelling Flow of Demand Through a Bill of Manufacture.” International Journal of Production Research 35 (7): 1911–1924.
   Web of Science ®Google Scholar
• Orlicky, J. A. 1975. Material Requirements Planning. New York: McGraw-Hill.
   Google Scholar
• Simon, H. A. 1952. “On the Application of Servomechanism Theory in the Study of Production Control.” Econometrica 20: 247–268.
   Web of Science ®Google Scholar
• Spiegel, M. R. 1965. Laplace Transforms. New York: McGraw-Hill.
   Google Scholar
• Tang, O. 2000. Planning and Replanning within the Material Requirements Planning Environment – A Transform Approach, Linköping: Production-Economic Research in Linköping (PROFIL).
   Google Scholar
• Tang, O., R. W. Grubbström, and S. Zanoni. 2004. “Economic Evaluation of Disassembly Processes in Remanufacturing Systems.” International Journal of Production Research 42 (17): 3603–3617.
   Web of Science ®Google Scholar
• Vazsonyi, A. 1955. “The Use of Mathematics in Production and Inventory Control.” Management Science 1 (1): 70–85.
   Web of Science ®Google Scholar
• Vazsonyi, A. 1958. Scientific Programming in Business and Industry. New York: Wiley.
   Google Scholar