Transform methodology applied to some inventory problems

Journal of Business Economics - Tập 77 Số 3 - Trang 297-324 - 2007
Robert W. Grubbström1
1Faculty of Maritime Studies and Transport, University of Ljubljana, Portoroz, Slovenia

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Tài liệu tham khảo

Aseltine, J.A., Transform Method in Linear System Analysis, McGraw-Hill, New York, N.Y., 1958.

Axsäter, S., Control theory concepts in production and inventory control, International Journal of Systems Science, 16, 1985, 161–169.

Bogataj, L., and L. Ferbar, Stochastic considerations of Grubbström-Molinder model of MRP, input-output and multi-echelon inventory systems, International Journal of Production Economics, 45, 1996, 329–336.

Bogataj, M., and L. Bogataj, Supply chain coordination in spatial games, International Journal of Production Economics, 71, 2001, 277–286.

Bogataj, M., Inventory allocation and customer travelling problem in spatial duopoly. International Journal of Production Economics, 59, 1999, 271–279.

Buser, S.A., LaPlace Transforms as Present Value Rules: A Note, Journal of Finance, 41, 1986, 243–247.

Churchill, R.V., Operational Mathematics, McGraw-Hill, New York, N.Y., 1958.

Churchill, R.V., Complex Variables and Applications, McGraw-Hill, New York, N.Y., 1960.

Deakin, M.A.B., The development of the Laplace transform, 1737–1937: I. Euler to Spitzer, 1737–1880, Archives for History of Exact Sciences, 25, 1981, 343–390.

Deakin, M.A.B., The development of the Laplace transform, 1737–1937: II. Poincaré to Doetsch, 1880–1937, Archive for History of Exact Sciences, 25, 1982, 351–381.

Deakin, M.A.B., The ascendancy of the Laplace transform and how it came about, Archive for History of Exact Sciences, 44, 1992, 265–286.

Ferbar, L., and L. Bogataj, A market game with the characteristic function according to the MRP and input-output analysis model. International Journal of Production Economics, 59, 1999, 281–288.

Grubbström, R.W., On the application of the Laplace transform to certain economic problems, Management Science, 13, 1967, 558–567.

Grubbström, R.W., A principle for determining the correct capital costs of work-in-progress and inventory, International Journal of Production Research, 18, 1980, 259–271.

Grubbström, R.W., and T.T.T. Huynh, Analysis of standard ordering policies within the framework of MRP theory, International Journal of Production Research, 44, 2006, 3759–3773.

Grubbström, R.W., and Y. Jiang, A survey and analysis of the application of the Laplace transform to present value problems, Revista di matematica per le scienze economiche e sociale, 12, 1990, 43–62.

Grubbström, R.W., and B.G. Kingsman, Ordering and inventory policies for step changes in the unit item cost: A discounted cash flow approach, Management Science, 50, 2004, 253–267.

Grubbström, R.W., and O. Tang, An Overview of Input-Output Analysis Applied to Production-Inventory Systems, Economic Systems Review, 12, 2000, 3–25.

Grubbström, R.W., and O. Tang, The moments and central moments of a compound distribution, European Journal of Operational Research, 170, 2006, 106–119.

Grubbström, R.W., and A. Thorstenson, Evaluation of capital costs in a multi-level inventory system by means of the annuity stream principle, European Journal of Operational Research 24, 1986, 136–145.

Grubbström, R.W. and Z. Wang, A Stochastic Model of Multi-Level/Multi-Stage Capacity-Constrained Production-Inventory Systems, International Journal of Production Economics, 81–82, 2003, 483–494.

Hadley, G., A comparison of order quantities using the average annual costs and the discounted costs, Management Science, 10, 1964, 472–476.

Huynh, T.T.T., Capacity Constraints in Multi-Stage Production-Inventory Systems — Applying Material Requirements Planning Theory, Production-Economic Research in Linköping, PROFIL 23, Linköping 2006.

Johansen, S. Glud, and A. Thorstenson, Optimal (r, Q) inventory policies with Poisson demands and lost sales: discounted and undiscounted cases, International Journal of Production Economics, 46–47, 1996, 359–371.

Kim, Y.H., Philippatos, G.C., and K.H. Chung, Evaluating Investment in Inventory Policy: A Net Present Value Framework, The Engineering Economist, 31, 1986, 119–136.

Klein Haneveld, W.K., and R.H. Teunter, Effects of discounting and demand rate variability on the EOQ, International Journal of Production Economics, 54, 1998, 173–192.

Koopmans, T.C., (Ed.), Activity Analysis of Production and Allocation, Wiley, New York, N.Y., 1951.

Leontief, W.W., Die Wirtschaft als Kreislauf, Archiv für Sozialwissenschaft und Sozialpolitik, 60, 1928, 577–623.

Leontief, W.W., The Structure of the American Economy, Oxford University Press, London 1951.

Martin, R.L., Modelling flow of demand through a bill of manufacture, International Journal of Production Research, 35, 1997, 1911–1924.

Orlicky, J.A., Material Requirements Planning, McGraw-Hill, New York, N.Y., 1975.

Ortega, M. and L. Lin, Control theory applications to the production-inventory problem: a review, International Journal of Production Research, 42, 2004, 2303–2322.

Simon, H.A., On the application of servomechanism theory in the study of production control, Econometrica, 20, 1952, 247–268.

Spiegel, M.R., Laplace transforms, McGraw-Hill, New York, N.Y., 1965.

Tang, O., Planning and Replanning within the Material Requirements Planning Environment — A Transform Approach, Production-Economic Research in Linköping, PROFIL 16, Linköping 2000.

Tang, O. and R.W. Grubbström, On Using Higher-Order Moments for Stochastic Inventory Systems, International Journal of Production Economics, 104, 2006, 454–461.

Tang, O., Grubbström, R.W. and S. Zanoni, Planned Lead Time Determination in a Make-to-Order Remanufacturing System, International Journal of Production Economics, forthcoming, 2006.

Teunter, R.H., and E. van der Laan, On the non-optimality of the average cost approach for inventory models with remanufacturing, International Journal of Production Economics, 79, 2002, 67–73.

Thorstenson, A., Capital Costs in Inventory Models — A Discounted Cash Flow Approach, Production-Economic Research in Linköping, PROFIL 8, Linköping 1988.

Trippi, R.R., and D.E. Levin, A present value formulation of the classical EOQ problem, Decision Science, 5, 1974, 30–35.

Vazsonyi, A., The Use of Mathematics in Production and Inventory Control, Management Science, 1, 1955, pp. 70–85

Vazsonyi, A., Scientific Programming in Business and Industry, Wiley, New York, N.Y., 1958

Wu, K.-S. and L.-Y. Ouyang, An integrated single-vendor single-buyer inventory system with shortage derived algebrically, Production Planning & Control, 14, 2003, 555–561.

Zhixin, Y., and R.W. Grubbström, “The Origin of the Laplace Transform and Its Applications”, Department of Production Economics, Linköping Institute of Technology, Working Paper WP-283, June 2001.