A production-inventory model of HMMS on time scales

Applied Mathematics Letters

Volumn 21, Issue 3, 2008, Pages 236-243

  Atici, Ferhan M ^a   Uysal, Fahriye ^b  

^a WESTERN KENTUCKY UNIVERSITY   (United States)

^b AKDENIZ UNIVERSITY   (Turkey)

Author keywords

Calculus of variations; Dynamic models; Nabla derivative; Optimization; Time scales

Indexed keywords

DERIVATIVES; DYNAMIC MODELS; OPTIMIZATION; TIME SERIES ANALYSIS; VARIATIONAL TECHNIQUES;

NABLA DERIVATIVES; TIME SCALE CALCULUS;

PRODUCTION ENGINEERING;

EID: 37849045292     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2007.03.013     Document Type: Article

References (14)

1. Atici F.M., Biles D.C., and Lebedinsky A. An application of time scales to economics. Math. Comput. Modelling 43 (2006) 718-726
2. Atici F.M., and Guseinov G.Sh. On Green's functions and positive solutions for boundary value problems on time scales. J. Comput. Appl. Math. 141 (2002) 75-99
3. Bohner M., and Peterson A. Dynamic Equations on Time Scales, An Introduction with Applications (2001), Birkhäuser, Boston
4. Bohner M., and Peterson A. Advances in Dynamic Equations on Time Scales (2003), Birkhäuser, Boston
5. Bohner M. Calculus of variations on time scales. Dynam. Systems Appl. 13 3-4 (2004) 339-349
6. Dobos I. Production-inventory control under environmental constraints. Int. J. Prod. Econ. 56-57 (1998) 123-131
7. Dobos I. Optimal production-inventory strategies for a HMMS-type reverse logistics systems. Int. J. Prod. Econ. 81-82 (2003) 351-360
8. S. Hilger, Ein Maßkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten, Ph.D. Thesis, Universtät Würzburg, 1988
9. 1 solutions with variable endpoints. J. Math. Anal. Appl. 289 1 (2004) 143-166
10. Holt C.C., Modigliani J.F., Muth H.A., and Simon H.A. Planning Production, Inventories, and Work Forces (1960), Prentice-Hall, Englewood Cliffs, NJ
11. Singhal J., and Singhal K. Holt, Modigliani, Muth, and Simon's work and its role in the renaissance and evolution of operations management. J. Oper. Management 25 2 (2007) 300-309
12. Voß S., and Woodruff D.L. Introduction to Computational Optimization Models for Production Planning in a supply Chain (2003), Springer-Verlag
13. Vollmann T.E., Berry W.L., Whybark D.C., and Jacobs F.R. Manufacturing Planning and Control Systems for Supply Chain Management (2005), McGraw-Hill
14. Gershwin S.B., Dallery Y., Papadopoulos C.T., and Smith J.M. Analysis and Modelling of Manufacturing Systems (2003), Kluwer Academic Publishers