Product mix problems considering several probabilistic conditions and flexibility of constraints

Computers and Industrial Engineering

Volumn 56, Issue 3, 2009, Pages 918-936

  Hasuike, Takashi ^a   Ishii, Hiroaki ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

Chance constrained programming; Multi objective fuzzy programming; Probability maximization model; Product mix problems

Indexed keywords

FUZZY SYSTEMS;

CHANCE-CONSTRAINED PROGRAMMING; DETERMINISTIC EQUIVALENTS; FUZZY GOALS; HUMAN RESOURCES; LEVEL OF SATISFACTIONS; MULTI-OBJECTIVE FUZZY PROGRAMMING; NON-LINEAR PROGRAMMING PROBLEMS; NUMERICAL EXAMPLES; PREFERENCE RANKINGS; PROBABILITY MAXIMIZATION MODEL; PRODUCT MIX PROBLEMS; SOLUTION METHODS;

MULTIOBJECTIVE OPTIMIZATION;

EID: 60549089561     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cie.2008.09.006     Document Type: Article

References (38)

1. Aryanezhad M.B., and Komijan A.R. An improved algorithm for optimizing product mix under the theory of constraints. International Journal of Production Research 42 20 (2004) 4221-4233
2. Balakrishnan J., and Cheng C.H. Theory of constraints and linear programming: A re-examination. International Journal of Production Research 38 6 (2000) 1459-1463
3. Berry W.L., and Cooper M.C. Manufacturing flexibility: Methods for measuring the impact of product variety on performance in process industries. Journal of Operations Management 17 2 (1999) 163-178
4. Bhattacharya A., and Vasant P. Soft-sensing of level of satisfaction in TOC product-mix decision heuristic using robust fuzzy-LP. European Journal of Operational Research 177 (2007) 55-70
5. Browne J., Dubois D., Rathmill K., Sethi S.P., and Stecke K. Classification of flexible manufacturing systems. The FMS Magazine 2 2 (1984) 114-117
6. Buzacott J. The fundamental principles of flexibility in manufacturing systems, flexible manufacturing systems. Proceedings of first international conference, Brighton, UK (1982), Elsevier, North-Holland, Amsterdam
7. Coman A., and Ronen B. Production outsourcing: A linear programming model for the theory-of-constraints. International Journal of Production Research 38 7 (2000) 1631-1639
8. Finch B.J., and Luebbe R.L. Response to theory of constraints and linear programming: A re-examination. International Journal of Production Research 38 6 (2000) 1465-1466
9. Gerwin D. Manufacturing flexibility: A strategic perspective. Management Science 39 4 (1993) 395-410
10. Goldratt E.M. What is this thing called theory of constraints (1990), North River Press, New York
11. Goldratt E.M. What is the theory of constraints?. APICS-The Performance Advantage 3 6 (1993) 18-20
12. Grubbström R.W., and Olhager J. Productivity and flexibility: Fundamental relations between two major properties and performance measures of the production system. International Journal of Production Economics 52 (1997) 73-82
13. Hasuike, T. (2006). The product mix problems under randomness and fuzziness. In Proceedings of the 11th international conference on industrial engineering, theory, applications, and practice (pp. 107-112).
14. Hasuike T., and Ishii H. Portfolio selection problem with two possibilities of the expected return. Proceedings of nonlinear analysis and convex analysis, Okinawa, 2005 (2007), Yokohama Publishers 115-125
15. Hasuike, T., Katagiri, H., & Ishii, H. (2007b). Portfolio selection problems with random fuzzy variable returns. In Proceedings of 2007 IEEE international conference on fuzzy systems (pp. 416-421).
16. Hsu T.C., and Chung S.H. The TOC-based algorithm for solving product mix problems. Production Planning and Control 9 (1998) 36-46
17. Huang X. Two new models for portfolio selection with stochastic returns taking fuzzy information. European Journal of Operational Research 180 (2007) 396-405
18. Hyun J.H., and Ahn B.H. A unifying framework for manufacturing flexibility. Manufacturing Review 5 4 (1992) 251-260
19. Inuiguchi M., and Ramik J. Possibilisitc linear programming: A brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem. Fuzzy Sets and Systems 111 (2000) 3-28
20. Ishii H., and Nishida T. Stochastic linear knapsack problem: Probability maximization model. Mathematica Japonica 29 (1984) 273-281
21. Katagiri H., Sakawa M., and Ishii H. A study on fuzzy random portfolio selection problems using possibility and necessity measures. Scientiae Mathematicae Japonocae 65 2 (2005) 361-369
22. Köksal G. Selecting quality improvement projects and product mix together in manufacturing: An improvement of a theory of constraints-based approach by incorporating quality loss. International Journal of Production Research 42 23 (2004) 5009-5029
23. Konno H. Piecewise linear risk functions and portfolio optimization. Journal of Operations Research Society of Japan 33 (1990) 139-159
24. Lee T.N., and Plenert G. Optimizing theory of constraints when new product alternatives exist. Production and Inventory Management Journal 34 3 (1993) 51-57
25. Letmathe P., and Balakrishnan N. Environmental considerations on the optimal product mix. European Journal of Operational Research 167 (2005) 398-412
26. Li S., and Tirupati D. Impact of product mix flexibility and allocation policies on technology. Computers & Operations Research 24 7 (1997) 611-627
27. Liu B. Theory and practice of uncertain programming (2002), Physica Verlag
28. Luebbe R., and Finch B. Theory of constraints and linear programming: A comparison. International Journal of Production Research 30 6 (1992) 471-1478
29. Markowitz H. Portfolio selection. Journal of Finance 7 (1952) 77-91
30. Morgan L.O., and Daniels R.L. Integrating product mix and technology adoption decisions: A portfolio approach for evaluating advanced technologies in the automobile industry. Journal of Operations Management 19 (2001) 219-238
31. Mula J., Poler R., and Garcia J.P. MRP with flexible constraints: A fuzzy mathematical programming approach. Fuzzy Sets and Systems 157 (2006) 74-97
32. Mula J., Poler R., and Garcia-Sabater J.P. Material requirement planning with fuzzy constraints and fuzzy coefficients. Fuzzy Sets and Systems 158 (2007) 783-793
33. Mula J., Poler R., Garcia-Sabater J.P., and Lario F.C. Models for production planning under uncertainty: A review. International Journal of Production Economics 103 (2006) 271-285
34. Olhager J. Manufacturing flexibility and profitability. International Journal of Production Economics 30-31 (1993) 67-78
35. Sethi A.K., and Sethi S.P. Flexibility in manufacturing: A survey. International Journal of Flexible Manufacturing Systems 2 (1990) 289-328
36. Son Y.K., and Park C.S. Economic measure of productivity, quality and flexibility in advanced manufacturing systems. Journal of Manufacturing Systems 6 2 (1987) 193-207
37. Souren R., Ahn H., and Schmitz C. Optimal product mix decisions based on the theory of constraints? Exposing rarely emphasized premises of throughput accounting. International Journal of Production Research 43 2 (2005) 361-374
38. Vasant P. Fuzzy decision making of profit function in production planning using S-curve membership function. Computer & Industrial Engineering 51 (2006) 715-725