Fuzzy multi-item economic production quantity model under space constraint: A geometric programming approach

Applied Mathematics and Computation

Volumn 184, Issue 2, 2007, Pages 326-335

  Islam, Sahidul ^a   Roy, Tapan Kumar ^a  

^a INDIAN INSTITUTE OF ENGINEERING SCIENCE AND TECHNOLOGY   (India)

Author keywords

Geometric programming; Inventory; Storage space; Triangular fuzzy number

Indexed keywords

CONSTRAINT THEORY; LINEAR PROGRAMMING; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; RELIABILITY;

GEOMETRIC PROGRAMMING; STORAGE SPACE; TRIANGULAR FUZZY NUMBER;

FUZZY SETS;

EID: 33846633246     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.05.198     Document Type: Article

References (27)

1. Abou-El-Ata M.O., and Kotb K.A.M. Multi-item EOQ inventory model with varying holding cost under two restrictions: a geometric programming approach. Production Planning & Control 8 5 (1997) 608-611
2. Beightler G.S., and Phillips D.T. Applied Geometric Programming (1976), Wiley, New York
3. Ben-Daya M. The economic production lot-sizing problem with imperfect production processes and imperfect maintenance. International Journal of Production Economics 76 3 (2002) 257-264
4. Cao, Qing, Schniederjans, and Marc J. A revised EMQ/JIT production-run model: an examination of inventory and production costs. International Journal of Production Economics 87 1 (2004) 83-95
5. Cheng T.C.E. An economic production quantity model with flexibility and reliability considerations. European Journal of Operational Research 39 (1989) 174-179
6. Cheng T.C.E. An economic order quantity model with demand-dependent unit cost. European Journal of Operational Research 40 (1989) 252-256
7. Duffin R.J., Peterson E.L., and Zener C. Geometric Programming Theory and Applications (1966), Wiley, New York
8. Goyal S.K., Cardenas-Barron, and Eduardo L. Note on: Economic production quantity model for items with imperfect quality-a practical approach. International Journal of Production Economics 77 1 (2002) 85-87
9. Hariri A.M.A., and Abou-El-Ata M.O. Multi-item EOQ inventory model with varying holding cost under two restrictions: a geometric programming approach. Production Planning & Control 8 2 (1997) 179-182
10. Hax A.C., and Candea D. Production and Inventory Management (1984), Prentice-Hall, Englewood Cliffs, NJ
11. Heilpern S. The expected value of a fuzzy number. Fuzzy Sets and Systems 47 (1992) 81-86
12. Islam S., and Roy T.K. Modified geometric programming problem and its applications. Journal of Applied Mathematics and Computing 17 1-2 (2005) 121-144
13. Johnson L.A., and Montgomery D.C. Operations in Production Planning Scheduling and Inventory Control (1974), Wiley, New York
14. Jung H., and Klein C.M. Optimal inventory policies under decreasing cost functions via geometric programming. European Journal of Operational Research 132 (2001) 628-642
15. Kaufman A., and Gupta M.M. Fuzzy Mathematical Models in Engineering & Management Sciences (1988), North-Holland
16. In: Kusiak A. (Ed). Flexible Manufacturing Systems: Methods and Studies (1986), North-Holland, Amsterdam
17. Park K.S. Fuzzy set theoretic interpretation of economic order quantity. IEEE Transactions on Systems, Man and Cybernetics 17 (1987) 1082-1084
18. Porteus E.L. Investing in reduced setups in the EOQ Model. Management Science 31 (1985) 998-1010
19. Porteus E.L. Optimal lot sizing, process quality improvement and setup cost reduction. Operations Research 34 (1986) 137-144
20. Rosenblatt M.J., and Lee H.L. Economic production cycles with imperfect production processes. IEEE Transactions 14 (1986) 48-55
21. Roy T.K., and Maiti M. A fuzzy EOQ model with demand-dependent unit cost under limited storage capacity. European Journal of Operational Research 99 (1997) 425-432
22. Salameh M.K., and Jaber M.Y. The economic production lot-sizing problem with imperfect quality. International Journal of Production Economics 64 1-3 (2000) 59-64
23. Silver E.A., and Peterson R. Decision Systems for Inventory Management and Production Planning (1985), Wiley, New York
24. Van Beek P., and Van Puttin C. OR contributions to flexibility improvement in production/inventory systems. European Journal of Operational Research 31 (1987) 52-60
25. Worral B.M., and Hall M.A. The analysis of an inventory control model using posynomial geometric programming. International Journal of Production Research 20 (1982) 657-667
26. Zadeh L.A. Fuzzy sets. Information and Control 8 (1965) 338-353
27. Zangwill W.I. From EOQ to ZI. Management Science 33 (1987) 1209-1223