Market game with the characteristic function according to the MRP and input-output analysis model

International Journal of Production Economics

Volumn 59, Issue 1, 1999, Pages 281-288

  Horvat, Liljana ^a   Bogataj, Ludvik ^a  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

[No Author keywords available]

Indexed keywords

DECISION MAKING; DECISION THEORY; GAME THEORY; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; OPTIMIZATION; RANDOM PROCESSES; STRATEGIC PLANNING; Z TRANSFORMS;

INPUT-OUTPUT ANALYSIS MODEL; MARKET GAME; MATERIAL REQUIREMENTS PLANNING (MRP); MULTI-ECHELON SYSTEMS; SHAPLEY VALUE THEORY; UNIFORM DEMAND DISTRIBUTION;

PRODUCTION ENGINEERING;

EID: 0032639960     PISSN: 09255273     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0925-5273(98)00017-6     Document Type: Article

References (18)

1. Leontief W.W. Die Wirtschaft als Kreislauf. Archiv für Sozialwissenschaft und Sozialpolitik. 60:1928;3.
2. Koopmans T.C. Activity Analysis of Production and Allocation. 1951;Wiley, New York.
3. Vazsonyi A. Scientific Programming in Business and Industry. 1958;Wiley, New York.
4. Müller-Merbach H. Switching between bill-of-material processing and the simplex method in certain linear large-scale industrial optimization problems. Himmelblau D.M. Decomposition of Large-Scale Problems. 1973;189-199 North-Holland, Amsterdam.
5. Veinott A.F. Minimum concave-cost solution of Leontief substitution models of multi-facility inventory systems. Operations Research. 17(2):1969;262-291.
6. Grubbström R.W., Ovrin P. Intertemporal generalization of the relationship between material requirements planning and input-output analysis. International Journal of Production Economics. 26:1992;311-318.
7. Grubbström R.W., Molinder A. Further theoretical considerations on the relationship between MRP, input-output analysis and multi-echelon inventory systems. International Journal of Production Economics. 35:1994;299-311.
8. Grubbström R.W., Molinder A. Safety production plans in MRP-systems using transform methodology. International Journal of Production Economics. 46-47:1996;297-309.
9. Grubbström R.W. Stochastic properties of a production-inventory process with planned production using transform methodology. International Journal of Production Economics. 45:1996;407-420.
10. Bogataj L., Horvat L. Stochastic considerations of Grubbström-Molinder model of MRP, input-output and multi-echelon inventory systems. International Journal of Production Economics. 45:1996;329-336.
11. L. Horvat, L. Bogataj, Game theory aspects of MRP, input-output and multi-echelon inventory systems, Proceedings of 9th International Simposium of IGLS, Innsbruck, vol. 3, 1996, pp. 1-12.
12. L. Bogataj, L. Horvat, The application of game theory to MRP, input-output and multi-echelon inventory systems with exponentially distributed external demand, Proceedings of the International Symposium on Operation Research SOR'95 in Slovenia, Portorož, 1995, pp. 25-36.
13. L. Horvat, L. Bogataj, MRP, input-output analysis and multi-echelon inventory systems with exponentially distributed external demand, Proceedings of GLOCOSM Conference, Bangalore, India, 1996, pp. 149-154.
14. Bogataj M. Inventories in spatial models. International Journal of Production Economics. 45:1996;337-442.
15. M. Bogataj, Inventory allocation and customer ravelling problem in statial duopoly, International Journal of Production Economics, 1998, to appear.
16. Girlich H.J. On two metric transportation problems and their solution. Bogataj L. Inventory Modelling. 2:1995;13-24 ISIR, Budapest, Portorož
17. Grubbström R.W. On the application of the Laplace transform to certain economic problems. Management Science. 13(7):1967.
18. Vorob'ev N.N. Game Theory. 1977;Springer, New York.