On a volume flexible production policy in a family production context
DOI:
https://doi.org/10.2298/YJOR0601085SKeywords:
inventory, shortage, volume flexibility, family production, machine-breakdown, idle-timeAbstract
A mathematical model for a volume flexible manufacturing system is developed in a family production context, assuming that there exists a dedicated production facility as well as a separate management unit for each of the items. The possibility of machine breakdowns resulting in idle times of the respective management units is taken into account. The production rates are treated as decision variables. It is also assumed that there is a limitation on the capital available for total production. An optimal production policy is derived with maximization of profit as the criterion of optimality. The results are illustrated with a numerical example. Sensitivity of the optimal solution to changes in the values of some key parameters is also studied.References
Adler, G.L., Nanda, R. (1974) The effects of learning on optimum lot size determination: Single product case. AIIE Trans, 6 14- 20
Aggarwal, S.C. (1985) Making sense of production operations system. Harvard Business Review, September-October issue, 8-16
Axsater, S., Elmaghraby, S.E. (1981) A note on EMQ under learning and forgetting. AIIE Trans, 13 86-90
Cheng, T.C.E. (1991) An economic order quantity model with demand-dependent unit production cost and imperfect production processes. IEE Transactions, 23, 23-28
Conrad, C.J., Mcclamrock, N.H. (1987) The drilling problem: A stochastic modeling and control example in manufacturing. IEEE Transactions on Automatic Control, 32, 947-958
Drozda, T., Wick, C., Benedict, J.T., Veilleux, R.F., Bakerjian, R. (1983-1998) Tool and manufacturing engineers handbook: A reference book for manufacturing engineers, managers, and technicians. Dearborn, Mich: Society of Manufacturing Engineers
Fiacco, A.V., McCormick, G.P. (1966) Extension of SUMT for nonlinear programming: Equality constraints and extrapolation. Management Science, 12 816-828
Fiacco, A.V., McCormick, G.P. (1986) Nonlinear programming: Sequential unconstrained minimization techniques. New York, itd: Wiley
Gallego, G. (1993) Reduced production rates in the economic lot scheduling problem. Int J Prod. Res, 31, 1035-1046
Hax, A.C., Candea, D. (1984) Production and inventory management. Englewood Cliffs, N.J: Prentice-Hall
Khouja, M., Mehrez, A. (1994) An economic production lot size model with variable production rate and imperfect quality. Journal of the Operational Research Society, 45(12): 1405
Khouja, M. (1995) The economic production lot size model under volume flexibility. Computers and Ops. Res, 22. 515-523
Moon, I., Gallego, G., Simchi-Levi, D. (1991) Controllable production rates in a family production context. Int J Prod. Res, 29 2459-2470
Muth, E.J., Spearmann, K. (1983) Learning effects in economic lot size. Management Science, 29, str. 264-269
Porteus, E.L. (1986) Optimal lot sizing, process quality improvement and setup cost reduction. Operations Research, 34, 137-144
Rosenblatt, M.J., Lee, H.L. (1986) Economic production cycles with imperfect production processes. IIE Transactions, 18, str. 48-55
Schweitzer, P.J., Seidmann, A. (1991) Optimizing processing rates for flexible manufacturing systems. Management Science, 37 454-466
Sethi, A.K., Sethi, P.S. (1990) Flexibility in manufacturing: A survey. Int J Flexible Manufact. Systems, 2 289-328
Silver, E.A. (1990) Deliberately slowing down output in a family production context. Int J Prod. Res, 28 17-27
Sule, D.R. (1978) The effect of a alternate periods learning and forgetting on economic manufacturing quantity. AIIE Trans, 10 338-343
Sule, D.R. (1981) A note on production time variation EMQ under influence of learning and forgetting. AIIE Trans, 13 91-95
Downloads
Published
Issue
Section
License
Copyright (c) YUJOR
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
