Reverse logistic model for deteriorating item with preservation technology investment and learning effect in an inflationary environment

• Autorzy: Singh S. R. , Rathore H.
• Języki publikacji: EN

Abstrakty

EN

Recycling is essential for the existence of the environment. Nowadays, recycling is also being promoted by the governments of numerous countries in the world. In the recycling process, the used items are collected from the customers and sent back to the remanufacturing unit. In the literature, many authors have assumed that the remanufactured items are as good as the freshly produced ones, but this is not really practical. The remanufactured items are of lower quality than the freshly produced ones. For purposes of studying the recycling process we have developed a reverse logistic model for the deteriorating items. The deterioration rate is treated as a controllable variable, which is controlled by investing in preservation technology. The demand rate is taken as exponential function of time with demand dependent manufacturing and remanufacturing rates. The fresh products are sold in the primary market and the remanufactured products are sold in the secondary market at a low selling price, in view of the low quality of remanufactured products. The whole study is carried out under the effect of learning in an inflationary environment and the learning coefficients are associated with production cost and set-up cost. The main objective of this study is to find the optimal cost value and the optimal operating times. At the end of this article numerical illustration is presented and sensitivity analysis is performed. The whole of the mathematical calculations is done with the use of the mathematical software Mathematica7.

Słowa kluczowe

EN

reverse logistics; deterioration; preservation technology; learning; inflation

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2016
• Tom: Vol. 45, no. 1
• Strony: 83--94
• Opis fizyczny: Bibliogr. 22 poz., rys.

Twórcy

autor

Singh S. R.

• Professor (Assoc.), Department of Mathematics, C. C. S. University, Meerut, U. P., India

autor

Rathore H.

Bibliografia

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• [6] Hsieh, T. P. and Dye, C. Y. (2013) A production-inventory model incorporating the effect of preservation technology investment when demand is fluctuating with time. Journal of Computational and Applied Mathematics 239, 25-36.
• [7] Hsu, P. H., Wee, H. M. and Teng, H. M. (2010) Preservation technology investment for deteriorating inventory. International Journal of Production Economics 124(2), 388-394.
• [8] Jaber, M. Y. and El Saadany, A. M. A. (2009) The production, remanufacture and waste disposal model with lost sales. International Journal of Production Economics, 120(1), 115–124.
• [9] Konstantaras, I., and Skouri, K. (2010) Lot sizing for a single product recovery system with variable setup numbers. European Journal of Operational Research 203(2), 326–335.
• [10] Maity, A. K., Maity, K., Mondal, S. K. and Maiti, M. (2009) A production-recycling-inventory model with learning effect. Optim Eng. 10, 427-438.
• [11] Schrady, D. A. (1967) A deterministic inventory model for repairable items. Naval Research Logistics Quarterly 14, 391–398.
• [12] Shah, N. H., Shah, D. B. and Patel, D. G. (2014) Optimal preservation technology investment, retail price and ordering policies for deteriorating items under trended demand and two level trade credit financing. J. Math. Model Algor. DOI 10.1007/s10852-014-9253-0.
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• [14] Singh, S. R., Prasher, L. and Saxena, N. (2013) A centralized reverse channel structure with flexible manufacturing under the stock out situation. International Journal of Industrial Engineering Computations 4, 559-570.
• [15] Singh, S. R. and Rathore, H. (2014a) Optimal payment policy for deteriorating item with preservation technology investment under trade credit and inflation. Proceeding of IEEE International Conference on Recent Advances and Innovations in Engineering (ICRAIE-2014), IEEE Explore, 1-6.
• [16] Singh, S. R. and Rathore, H. (2014b) A two-echelon inventory model with preservation technology investment in an inflationary environment. Proceedings of 1st International Science & Technology Congress- 2014, Elsevier, 480-488.
• [17] Singh, S. R. and Rathore, H. (2014c) A two warehouse inventory model with non-instantaneous deterioration and partial backlogging. Proceedings of Contemporary Computing (IC3), 2014 Seventh International Conference on, IEEE Explore, 431-436.
• [18] Singh, S. R., Rathore, H., Saxena, N. (2014) 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, 385- 391.
• [19] Singh, S. R. and Saxena, N. (2012) An Optimal Returned Policy for a Reverse Logistics Inventory Model with Backorders. Advances in Decision Sciences. Article ID 386598, 21 pages.
• [20] Singh, S. R. and Saxena, N. (2013) A Closed Loop Supply Chain System with Flexible Manufacturing and Reverse Logistics Operation under Shortages for Deteriorating Items. Procedia Technology 10, 330 – 339.
• [21] Singh, S. R. and Saxena, N. (2014) An integrated inventory model with remanufacturing of secondary material under shortages. Proceedings of 3rd International Conference on Recent Trends in Engineering & Technology. Elsevier, 354-359.
• [22] Yang, P. C., Chung, S. L., Wee, H. M., Zahara, E., Peng, C. Y. (2013) Collaboration for a closed-loop deteriorating inventory supply chain with multi-retailer and price-sensitive demand. International Journal of Production Economics 143, 557-566.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.