Abstract

A hectic life makes fitness difficult, especially if you consume chemicals. Knowing this fact, we have analyzed an economic production inventory model for deteriorating items. The manufacturing model is developed with green technology in order to produce eco-friendly products. The volume flexibility is taken into account. Multivariable demand rate has been taken into consideration which is dependent on selling price, green degree and green preferences of the customer. In response to the growing green preferences of customers, manufacturers should increase their investment in green technology. It is allowed to have shortages and all backlogs are fully backlogged. A closed-form solution has been provided for the optimal values of the green degree and replenishment cycle. In addition to analyzing the volatility of the system numerically and sensitivity-wise, the model can also provide some managerial insights in favor of the manufacturer to maintain customer satisfaction and increase profit.

Author

Subhash Chand Garg * and B. S. Kalra  ( Pages 127-140 )
Email:schand.cbse@gmail.com
Affiliation: Department of MathematicsMeerut College, Meerut      DOI:

Keyword

Inventory, EPQ model, green technology, multivariable demand, shortage, deterioration, volume flexibility

References

Schrady, D. A., “A deterministic inventory model for repairable items”, Naval Research Logistics Quaterly, Vol. 14, No. 3, pp. 391- 398 (1967).

Nahmias, S. and Rivera, H., “A deterministic model for repairable item inventory system with finite repaire rate”, International Journal of Production Research, Vol. 17, No. 3, pp. 215-221 (1979).

Fleischmann, M., Bloemhof- Ruwaard,  J. M., Dekker, R., Van Der Laan, E., Van Nunen, J. A. E. E. and Van Wassenhove, L. N., “Quantitative models for reverse logistics: a review”, European Journal of Operational Research, Vol.103, No. 1, pp. 1- 17 (1997).

El Saadany, A. M.A.and Jaber, M. Y., “A production/ remanufacturing inventory model with price and quality dependent return rate”, Computers and Industrial Engineering, Vol. 58, No.3, pp. 352- 362 (2010).

Alamri, A. A., “Theory and methodology on the global optimal solution to a general reverse logistics inventory model for deteriorating items and time varying rates”, Computer and Industrial Engineering, Vol. 60, No. 2, pp. 236- 247 (2010).

Singh, S. R. and Saxena, N., “An optimal returned policy for a reverse logistics inventory model with backorders”, Advances in Decision Science, Article ID 386598, 21 pages (2012).

Singh, S. R., Prasher L. and Saxena N. “A centralized reverse chaneel structure with flexible manufacturing under the stock out situation”, International Journal of Industrial Engineering Computations, Vol. 4, pp. 559- 570 (2013).

Singh, S. R. and Saxena, N., “A closed loop supply chain system with flexible manufacturing and reverse logistics operation under shortages for deteriorating items”, Procedia Technology, Vol. 10, pp. 330- 339 (2013).

Singh, S. R. and Saxena, N., “An integrated inventory model with remanufacturing of secondary material under shortages” Proceedings of 3rd International Conference on Recent Trends in Engineering & Technology, pp. 354- 359, Elsevier, India (2014).

Hartley, R.V., Operations Research–A Managerial Emphasis, California: Good Year Publishing Company (1976).

Sarma, K.V.S., “A Deterministic Order Level Inventory Model for Deteriorating Items with Two Storage Facilities”, European Journal of Operational Research, Vol. 29, pp. 70–73 (1987).

Kumari R., Singh S. R. and Kumar N., “Two-warehouse inventory model for deteriorating items with partial backlogging under the conditions of permissible delay in payments”, Int. Trans. Math. Sci. Comput, Vol. 1, No. 1, pp. 123-134, (2008).

Singh S. R., Rathore H. and Saxena N., “A two warehouse inventory model for deteriorating items with shortages under inflationary environment”, Proceedings of  3rd International Conference on Recent Trends in Engineering & Technology, Elsevier, pp.  385- 391, India (2014).

Chiu H. N. and Chen H. M., “An optimal algorithm for solving the dynamic lot-sizing model with learning and forgetting in setups and production”, International Journal of Production Economics, vol. 95, no. 2, pp. 179–193 (2005).

Kuo W.-H. and Yang D.-L., “Minimizing the total completion time in a single-machine scheduling problem with a time-dependent learning effect,” European Journal of Operational Research, vol. 174, no. 2, pp. 1184–1190 (2006).

Jaber, M.Y., Goyal, S.K., & Imran, M., “Economic production quantity model for items with imperfect quality subject to learning effects”, International Journal of Production Economics, Vol-115, pp.143-150 (2008).

Singh S.R., Jain S.  and Pareek S., “An imperfect quality items with learning and inflation under two limited storage capacity”, International Journal of Industrial Engineering Computations, Vol. 4, pp. 1- 12 (2013).