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Volumn 71, Issue 1-3, 2001, Pages 351-363

The origins of dynamic inventory modelling under uncertainty (the men, their work and connection with the Stanford Studies)

Author keywords

Dynamic programming; Inventory modelling; Stochastic models

Indexed keywords

INDUSTRIAL MANAGEMENT; MATHEMATICAL MODELS; UNCERTAIN SYSTEMS;

EID: 0035815804     PISSN: 09255273     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0925-5273(00)00131-6     Document Type: Article
Times cited : (15)

References (111)
  • 2
    • 0037521821 scopus 로고
    • Inventory control research: A survey
    • Whitin T.M. Inventory control research: A survey. Management Science. 1:1954;32-40.
    • (1954) Management Science , vol.1 , pp. 32-40
    • Whitin, T.M.1
  • 5
    • 0000022860 scopus 로고
    • The inventory problem: I. Case of known distribution of demand, II. Case of unknown distribution of demand
    • 450-466
    • A. Dvoretzky, J. Kiefer, J. Wolfowitz, The inventory problem: I. Case of known distribution of demand, II. Case of unknown distribution of demand, Econometrica 20 (1952) 187-222, 450-466.
    • (1952) Econometrica , vol.20 , pp. 187-222
    • Dvoretzky, A.1    Kiefer, J.2    Wolfowitz, J.3
  • 10
    • 0001412093 scopus 로고
    • On the application of servomechanism theory in the study of production control
    • Simon H.A. On the application of servomechanism theory in the study of production control. Econometrica. 20:1952;247-268.
    • (1952) Econometrica , vol.20 , pp. 247-268
    • Simon, H.A.1
  • 13
    • 70349219222 scopus 로고
    • Regelungstechnische stochastische Optimierungsverfahren
    • Springer, Berlin
    • Ch. Schneeweiß, Regelungstechnische stochastische Optimierungsverfahren, Lecture Notes in OR and Mathematical Systems, Vol. 49, Springer, Berlin, 1971.
    • (1971) Lecture Notes in or and Mathematical Systems , vol.49
    • Schneeweiß, Ch.1
  • 15
    • 0022667692 scopus 로고
    • A solvable one-dimensional model of a diffusion inventory system
    • Sulem A. A solvable one-dimensional model of a diffusion inventory system. Mathematics of Operations Research. 11:1986;125-133.
    • (1986) Mathematics of Operations Research , vol.11 , pp. 125-133
    • Sulem, A.1
  • 18
    • 0002812706 scopus 로고
    • An inventory model for arbitrary interval and quantity distributions of demand
    • Beckmann M. An inventory model for arbitrary interval and quantity distributions of demand. Management Science. 8:1961;83-104.
    • (1961) Management Science , vol.8 , pp. 83-104
    • Beckmann, M.1
  • 19
    • 0041865810 scopus 로고
    • (Ed.), Akadémiai Kiadó, Budapest
    • A. Chikán (Ed.), Inventory Models, Akadémiai Kiadó, Budapest, 1990.
    • (1990) Inventory Models
    • Chikán, A.1
  • 20
    • 0009203559 scopus 로고
    • Analysis of (s, S) Inventory Models
    • Amsterdam
    • H.C. Tijms, Analysis of (s, S) Inventory Models. Mathematical Centre Tracts 40, Amsterdam, 1972.
    • (1972) Mathematical Centre Tracts , vol.40
    • Tijms, H.C.1
  • 25
    • 0001014740 scopus 로고
    • The structure of dynamic programing models
    • Karlin S. The structure of dynamic programing models. Naval Research Logistics Quarterly. 2:1955;285-294.
    • (1955) Naval Research Logistics Quarterly , vol.2 , pp. 285-294
    • Karlin, S.1
  • 26
    • 0000261317 scopus 로고
    • Decision theory for Pólya type distributions, Case of two actions, I
    • J. Neyman. Berkeley and Los Angeles: University of California Press
    • Karlin S. Decision theory for Pólya type distributions, Case of two actions, I. Neyman J. Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability. 1956;115-128 University of California Press, Berkeley and Los Angeles.
    • (1956) Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability , pp. 115-128
    • Karlin, S.1
  • 28
    • 85012688561 scopus 로고
    • Princeton, NJ: Princeton University Press
    • Bellmann R. Dynamic Programming. 1957;Princeton University Press, Princeton, NJ.
    • (1957) Dynamic Programming
    • Bellmann, R.1
  • 30
    • 0011702641 scopus 로고    scopus 로고
    • The mathematical theory of inventory and production: The Stanford Studies after 36 years
    • A. Chikán, A. Milne, & L.G. Sprague. Budapest: ISIR
    • Milne A. The mathematical theory of inventory and production: The Stanford Studies after 36 years. Chikán A., Milne A., Sprague L.G. Reflection on Firm and National Inventories, Workshop, August 1994, Lake Balaton. 1996;59-77 ISIR, Budapest.
    • (1996) Reflection on Firm and National Inventories, Workshop, August 1994, Lake Balaton , pp. 59-77
    • Milne, A.1
  • 32
    • 0002467137 scopus 로고
    • The optimality of (S, s) policies in the dynamic inventory problem
    • K.J. Arrow, S. Karlin, & P. Suppes. Stanford: Stanford University Press
    • Scarf H. The optimality of. (S, s) policies in the dynamic inventory problem Arrow K.J., Karlin S., Suppes P. Mathematical methods in the social sciences, 1959, Proceedings of the First Stanford Symposium. 1960;196-202 Stanford University Press, Stanford.
    • (1960) Mathematical Methods in the Social Sciences, 1959, Proceedings of the First Stanford Symposium , pp. 196-202
    • Scarf, H.1
  • 34
    • 0008906060 scopus 로고
    • A survey of analytic techniques in inventory theory
    • H. Scarf, D. Gilford, & M. Shelly. Stanford: Stanford University Press
    • Scarf H. A survey of analytic techniques in inventory theory. Scarf H., Gilford D., Shelly M. Multistage Inventory Models and Techniques. 1963;185-225 Stanford University Press, Stanford.
    • (1963) Multistage Inventory Models and Techniques , pp. 185-225
    • Scarf, H.1
  • 36
    • 0342941947 scopus 로고
    • Elements of a theory of inventory
    • Shaw E.S. Elements of a theory of inventory. Journal of Political Economy. 48:1940;465-485.
    • (1940) Journal of Political Economy , vol.48 , pp. 465-485
    • Shaw, E.S.1
  • 43
    • 84963108002 scopus 로고
    • Liquidity preference as behavior towards risk
    • Tobin J. Liquidity preference as behavior towards risk. Review of Economic Studies. 25:1958;68-85.
    • (1958) Review of Economic Studies , vol.25 , pp. 68-85
    • Tobin, J.1
  • 44
    • 0039555847 scopus 로고
    • Money and the theory of assets
    • a)
    • J. Marschak, a) Money and the theory of assets, Econometrica 6 (1938) 311-325.
    • (1938) Econometrica , vol.6 , pp. 311-325
    • Marschak, J.1
  • 45
    • 0040147044 scopus 로고
    • Assets, prices and monetary theory
    • b) with
    • b) (with H. Markower) Assets, prices and monetary theory, Economica V (1938) 261-288.
    • (1938) Economica , vol.5 , pp. 261-288
    • Markower, H.1
  • 48
  • 50
    • 0040308506 scopus 로고
    • Statistics and economic policy
    • Arrow K.J. Statistics and economic policy. Econometrica. 25:1957;523-531.
    • (1957) Econometrica , vol.25 , pp. 523-531
    • Arrow, K.J.1
  • 51
    • 0342507667 scopus 로고
    • Report of the organizing meeting of the Econometric Society
    • Roos C.F. Report of the organizing meeting of the Econometric Society. Econometrica. 21:1953;29-30.
    • (1953) Econometrica , vol.21 , pp. 29-30
    • Roos, C.F.1
  • 52
    • 0000229594 scopus 로고
    • On the optimal character of the (s, S) policy in inventory theory
    • Dvoretzky A., Kiefer J., Wolfowitz J. On the optimal character of the. (s, S) policy in inventory theory Econometrica. 21:1953;586-596.
    • (1953) Econometrica , vol.21 , pp. 586-596
    • Dvoretzky, A.1    Kiefer, J.2    Wolfowitz, J.3
  • 53
    • 0002628546 scopus 로고
    • Probability
    • 11th Edition, Cambridge University Press, Cambridge
    • F.Y. Edgeworth, Probability. Encyclopaedia Britannica, Vol. 22, 11th Edition, 376-403, Cambridge University Press, Cambridge, 1911.
    • (1911) Encyclopaedia Britannica , vol.22 , pp. 376-403
    • Edgeworth, F.Y.1
  • 54
    • 0039511550 scopus 로고
    • Applications of probabilities to economics
    • 441-465
    • F.Y. Edgeworth, Applications of probabilities to economics, Economic Journal 20 (1910) 284-304, 441-465.
    • (1910) Economic Journal , vol.20 , pp. 284-304
    • Edgeworth, F.Y.1
  • 55
    • 0002899344 scopus 로고
    • Grundlagen der Wahrscheinlichkeitsrechnung
    • von Mises R. Grundlagen der Wahrscheinlichkeitsrechnung. Mathematische Zeitschrift. 5:1919;52-99.
    • (1919) Mathematische Zeitschrift , vol.5 , pp. 52-99
    • Von Mises, R.1
  • 56
    • 0004100909 scopus 로고
    • Grundbegriffe der Wahrscheinlichkeitsrechnung
    • Springer, Berlin
    • A.N. Kolmogorov, Grundbegriffe der Wahrscheinlichkeitsrechnung, Ergebnisse II 3, Springer, Berlin, 1933 (Translated as "Foundations of the Theory of Probability", Chelsea, New York, 1950).
    • (1933) Ergebnisse II , vol.3
    • Kolmogorov, A.N.1
  • 57
    • 0003437353 scopus 로고
    • Translated as Chelsea, New York
    • A.N. Kolmogorov, Grundbegriffe der Wahrscheinlichkeitsrechnung, Ergebnisse II 3, Springer, Berlin, 1933 (Translated as "Foundations of the Theory of Probability", Chelsea, New York, 1950).
    • (1950) Foundations of the Theory of Probability
  • 65
    • 12944286886 scopus 로고
    • Extension of the limit theorems of probability theory to a sum of variables connected in a chain
    • (In: R.A. Howard (Ed.), Wiley, New York, Appendix B
    • A. Markov, Extension of the limit theorems of probability theory to a sum of variables connected in a chain, 1908 (In: R.A. Howard (Ed.), Dynamic Probabilistic Systems, Vol. I: Markov Models, Wiley, New York, 1971. I, Appendix B).
    • (1908) Dynamic Probabilistic Systems, Vol. I: Markov Models
    • Markov, A.1
  • 70
    • 0003924016 scopus 로고
    • Printon, NJ: Princeton University Press
    • Wilks S. Mathematical Statistics. 1943;Princeton University Press, Printon, NJ.
    • (1943) Mathematical Statistics
    • Wilks, S.1
  • 74
    • 0000572783 scopus 로고
    • On the integral equation of renewal theory
    • Feller W. On the integral equation of renewal theory. Annals of Mathematical Statistics. 12:1941;243-267.
    • (1941) Annals of Mathematical Statistics , vol.12 , pp. 243-267
    • Feller, W.1
  • 75
    • 0342507661 scopus 로고
    • Renewal theory from the point of view of the theory of probability
    • Doob J.L. Renewal theory from the point of view of the theory of probability. Transactions AMS. 63:1948;422-438.
    • (1948) Transactions AMS , vol.63 , pp. 422-438
    • Doob, J.L.1
  • 78
    • 0342507665 scopus 로고
    • Some aspects of inventory control
    • Marschak J. Some aspects of inventory control. Econometrica. 20:1952;499.
    • (1952) Econometrica , vol.20 , pp. 499
    • Marschak, J.1
  • 81
    • 0000641465 scopus 로고
    • The summation of random causes as the source of cyclic processes
    • Slutsky E. The summation of random causes as the source of cyclic processes. Econometrica. 5:1937;105-146.
    • (1937) Econometrica , vol.5 , pp. 105-146
    • Slutsky, E.1
  • 85
    • 21244466146 scopus 로고
    • Zur Theorie der Gesellschaftsspiele
    • von Neumann J. Zur Theorie der Gesellschaftsspiele. Mathematische Annalen. 100:1928;295-320.
    • (1928) Mathematische Annalen , vol.100 , pp. 295-320
    • Von Neumann, J.1
  • 86
    • 0002833794 scopus 로고
    • Über ein ökonomisches Gleichungssystem und eine Verallgemeinerung des Brouwerschen Fixpunktsatzes
    • von Neumann J. Über ein ökonomisches Gleichungssystem und eine Verallgemeinerung des Brouwerschen Fixpunktsatzes. Ergebnisse eines Mathematik Kolloquiums. 8:1937;73-83.
    • (1937) Ergebnisse Eines Mathematik Kolloquiums , vol.8 , pp. 73-83
    • Von Neumann, J.1
  • 87
    • 0011102309 scopus 로고
    • Vollkommene Voraussicht und wirtschaftliches Gleichgewicht
    • Morgenstern O. Vollkommene Voraussicht und wirtschaftliches Gleichgewicht. Zeitschrift für Nationalökonomie. 6:1935;337-357.
    • (1935) Zeitschrift für Nationalökonomie , vol.6 , pp. 337-357
    • Morgenstern, O.1
  • 88
    • 0009096781 scopus 로고
    • Über die eindeutige positive Lösbarkeit der neuen Produktionsgleichungen
    • Wald A. Über die eindeutige positive Lösbarkeit der neuen Produktionsgleichungen. Ergebnisse eines Mathematik Kolloquiums. 6:1935;12-20.
    • (1935) Ergebnisse Eines Mathematik Kolloquiums , vol.6 , pp. 12-20
    • Wald, A.1
  • 89
    • 0009099107 scopus 로고
    • Über die Produktionsgleichungen der ökonomischen Wertlehre
    • Wald A. Über die Produktionsgleichungen der ökonomischen Wertlehre. Ergebnisse eines Mathematik Kolloquiums. 7:1936;1-6.
    • (1936) Ergebnisse Eines Mathematik Kolloquiums , vol.7 , pp. 1-6
    • Wald, A.1
  • 90
    • 0012930793 scopus 로고
    • Confidence limits for continuous distribution functions
    • Wald A., Wolfowitz J. Confidence limits for continuous distribution functions. Annals of Mathematical Statistics. 10:1939;105-118.
    • (1939) Annals of Mathematical Statistics , vol.10 , pp. 105-118
    • Wald, A.1    Wolfowitz, J.2
  • 91
    • 0001571745 scopus 로고
    • Contributions to the theory of statistical estimation and testing hypotheses
    • Wald A. Contributions to the theory of statistical estimation and testing hypotheses. Annals of Mathematical Statistics. 10:1939;299-326.
    • (1939) Annals of Mathematical Statistics , vol.10 , pp. 299-326
    • Wald, A.1
  • 92
    • 0141628999 scopus 로고
    • Statistical decision functions which minimize the maximum risk
    • Wald A. Statistical decision functions which minimize the maximum risk. Annals of Mathematics. 46:1945;265-280.
    • (1945) Annals of Mathematics , vol.46 , pp. 265-280
    • Wald, A.1
  • 94
    • 0342507660 scopus 로고
    • Foundations of a general theory of sequential decision functions
    • Wald A. Foundations of a general theory of sequential decision functions. Econometrica. 15:1947;279-313.
    • (1947) Econometrica , vol.15 , pp. 279-313
    • Wald, A.1
  • 95
    • 0041707484 scopus 로고
    • Elimination of randomization in certain statistical decision procedures and zero-sum two-person games
    • Dvoretzky A., Wald A., Wolfowitz J. Elimination of randomization in certain statistical decision procedures and zero-sum two-person games. Annals of Mathematical Statistics. 22:1951;1-21.
    • (1951) Annals of Mathematical Statistics , vol.22 , pp. 1-21
    • Dvoretzky, A.1    Wald, A.2    Wolfowitz, J.3
  • 97
    • 0001085850 scopus 로고
    • Bayes and minimax solutions of sequential decision problems
    • Arrow K.J., Blackwell D., Girshick M.A. Bayes and minimax solutions of sequential decision problems. Econometrica. 17:1949;213-244.
    • (1949) Econometrica , vol.17 , pp. 213-244
    • Arrow, K.J.1    Blackwell, D.2    Girshick, M.A.3
  • 100
    • 0002358521 scopus 로고
    • An extension of the basic theorems of classical welfare economics
    • J. Neyman. Berkeley and Los Angeles: University of California Press
    • Arrow K.J. An extension of the basic theorems of classical welfare economics. Neyman J. Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability. 1951;507-532 University of California Press, Berkeley and Los Angeles.
    • (1951) Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability , pp. 507-532
    • Arrow, K.J.1
  • 105
    • 0003265935 scopus 로고
    • Foundations of Non-stationary Dynamic Programming with Discrete Time Parameter
    • Springer, Berlin
    • H. Hinderer, Foundations of Non-stationary Dynamic Programming with Discrete Time Parameter, Lecture Notes in OR and Mathematical Systems, Vol. 33, Springer, Berlin, 1970.
    • (1970) Lecture Notes in or and Mathematical Systems , vol.33
    • Hinderer, H.1
  • 107
    • 0016950195 scopus 로고
    • On the optimality of (s, S) policies in dynamic inventory models with finite horizon
    • Schäl M. On the optimality of. (s, S) policies in dynamic inventory models with finite horizon SIAM Journal on Applied Mathematics. 30:1976;528-537.
    • (1976) SIAM Journal on Applied Mathematics , vol.30 , pp. 528-537
    • Schäl, M.1
  • 108
    • 0019015609 scopus 로고
    • On the optimality of (σ, S) policies
    • Kalin D. On the optimality of. (σ, S) policies Mathematics of Operations Research. 5:1980;293-307.
    • (1980) Mathematics of Operations Research , vol.5 , pp. 293-307
    • Kalin, D.1
  • 110
    • 0343812903 scopus 로고
    • Message to members
    • K.J. Arrow, Message to members, ISIR-Newsletter, Vol. 1 (1) (1983).
    • (1983) ISIR-Newsletter , vol.1 , Issue.1
    • Arrow, K.J.1


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