Cost and reliability approaches in inventory theory

Cybernetics and Systems Analysis

Volumn 41, Issue 1, 2005, Pages 56-66

  Bulinskaya, E V ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Inventory control; Investments; Reliability approach

Indexed keywords

COSTS; INVESTMENTS; MATHEMATICAL MODELS; OPTIMAL CONTROL SYSTEMS; RANDOM PROCESSES; RELIABILITY THEORY;

INVENTORY THEORY; RELIABILITY APPROACH;

INVENTORY CONTROL;

EID: 24944532885     PISSN: 10600396     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10559-005-0041-8     Document Type: Article

References (33)

1. L. G. Afanas'eva E. V. Bulinskaya 1980 Random Processes in Queueing Theory and Inventory Control Izd. MGU Moscow [in Russian]
2. E. V. Bulinskaya 1989 "Construction of asymptotically optimal policies" Proc. of the Seminar on Problems of Stability of Stochastic Models VNIISI Moscow 10-19 [in Russian]
3. E. V. Bulinskaya, "The cost approach in insurance," Obozrenie Prikl. i Prom. Matem., 10, Issue 2, 276-286 (2003).
4. B. V. Gnedenko 1983 Problems in Mathematical Reliability Theory Radio i Svyaz' Moscow [in Russian]
5. I. N. Kovalenko 1975 Reliability Analysis of Complex Systems Naukova Dumka Kiev [in Russian]
6. I. N. Kovalenko 1980 Analysis of Rare Events in Estimating Systems Efficiency and Reliability Sov. Radio Moscow [in Russian]
7. I. N. Kovalenko 1989 Probabilistic Calculation and Optimization Naukova Dumka Kiev [in Russian]
8. I. N. Kovalenko N. Yu. Kuznetsov 1988 Methods of Design of Highly Reliable Systems Radio i Svyaz' Moscow [in Russian]
9. I. N. Kovalenko A. N. Nakonechnyi 1989 Approximate Calculation and Optimization of Reliability Naukova Dumka Kiev [in Russian]
10. K. J. Arrow, T. Harris, and J. Marschak, "Optimal inventory policy," Econometrica, 19, 250-272 (1951).
11. R. Bellman, J. Glicksberg, and O. Gross, "On the optimal inventory equation," Management Sci., 2, No.1, 83-104 (1955).
12. E. V. Bulinskaya, "Inventory control in case of unknown distribution," Engineering Costs and Production Economics, 19, 301-306 (1990). 10.1016/0167-188X(90)90056-N
13. E. V. Bulinskaya, "Reliability of some inventory-production systems," Intern. J. of Production Econom., 35, 245-251 (1994). 10.1016/0925-5273(94)90088-4
14. E.V. Bulinskaya "Systems stability and optimal control," J. of Mathematical Sci. 92 3 3857-3872 (1998).
15. E. V. Bulinskaya, "Inventory control and investment policy," Intern. J. of Production Econom., 81-82, 309-316 (2001).
16. E.V. Bulinskaya, "Stochastic orders and inventory problems," Intern. J. of Production Econom., 88, 125-135 (2004). 10.1016/ j.ijpe.2003.11.002
17. T.-M. Choi, D. Li, and H. Yan, "Optimal returns policy for supply chain with e-marketplace," Intern. J. of Production Econom., 82, No.2, 205-227 (2004). 10.1016/S0925-5273(03)00188-9
18. A. Dvoretzky, J. Kiefer, and J. Wolfowitz, "The inventory problem," Econometrica, 20, 187-222, 450-466 (1952).
19. A. Dvoretzky, J. Kiefer, and J. Wolfowitz, "On the optimal character of the (s, S)-policy in inventory control," Econometrica, 21, 586-596 (1953).
20. F. Y. Edgeworth, "The mathematical theory of banking," J. Royal Statist. Soc., 51, 113-127 (1989).
21. H. Groenevelt, "The just-in-time system," in: S.C. Graves et al. (eds.), Handbooks in Operations Research and Management Science, 4, (1993), pp. 629-670.
22. F. Harris 1915 "Operations and costs" Factory Management Series A. W.Shaw Co. Chicago 48-52
23. Chinho Lin and Yihsu Lin, "The production size and inventory policy for a manufacturer in a two-echelon inventory model," Computers and Operations Research, 32, 1181-1196 (2005) (Available online December 15, 2003).
24. Ph. Morse G. E. Kimbell 1951 Methods of Operations Research M.I.T. Press Cambridge (Mass.)
25. M. Pal, "Asymptotic confidence intervals for the optimal cost in newsboy problem," Calcutta Statist. Assoc. Bull., 46, No.183-184, 245-252 (1996).
26. A. K. Pal and B. Mandl, "An EOQ model for deteriorating inventory with alternating demand rates," Korean J. Comput. Appl. Math., 4, No.2, 397-407 (1997).
27. E. Porteus, "Investing in reduced setups in the EOQ model," Management Sci., 31, No.8, 998-1010 (1985).
28. B. A. Pasternack, "Optimal pricing and returns policies for perishable commodities," Marketing Sci., 4, 166-176 (1985).
29. N. C. Petruzzi and M. Dado, "Pricing and newsvendor problem: A review with extensions," Oper. Res., 47, 183-194 (1999).
30. A. Prekopa 1964 "Reliability equation for an inventory problem and its asymptotic solution" Colloquium on Applications of Mathematics to Economics Academiai Kiado Budapest
31. H. Scarf, "Bayes solutions of the statistical inventory problem," Annals of Mathematical Statistics, 30, No.2, 490-508 (1959).
32. S. Webster and Z. K. Weng, "A risk-free perishable item returns policy," Manufacturing and Service Oper. Management, 2, 100-106 (2000). 10.1287/msom.2.1.100.23270
33. R. W. Wilson, "A scientific routine for stock control" Harvard Business Review 13 1 116-128 1934