A multi-production inventory model for deteriorating items considering penalty and environmental pollution cost with failure rework

Sekar, T.; Uthayakumar, R.

Growing Science » Uncertain Supply Chain Management » A multi-production inventory model for deteriorating items considering penalty and environmental pollution cost with failure rework

Journals

USCM Volumes

Volume 1 (22)
- Issue 1 (4)
- Issue 2 (6)
- Issue 3 (6)
- Issue 4 (6)

Volume 2 (32)
- Issue 1 (7)
- Issue 2 (5)
- Issue 3 (10)
- Issue 4 (10)

Volume 3 (39)
- Issue 1 (9)
- Issue 2 (13)
- Issue 3 (10)
- Issue 4 (7)

Volume 4 (31)
- Issue 1 (10)
- Issue 2 (6)
- Issue 3 (6)
- Issue 4 (9)

Volume 5 (26)
- Issue 1 (6)
- Issue 2 (6)
- Issue 3 (8)
- Issue 4 (6)

Volume 6 (25)
- Issue 1 (7)
- Issue 2 (6)
- Issue 3 (6)
- Issue 4 (6)

Volume 7 (57)
- Issue 1 (8)
- Issue 2 (19)
- Issue 3 (14)
- Issue 4 (16)

Volume 8 (82)
- Issue 1 (20)
- Issue 2 (15)
- Issue 3 (17)
- Issue 4 (30)

Volume 9 (117)
- Issue 1 (25)
- Issue 2 (26)
- Issue 3 (32)
- Issue 4 (34)

Volume 10 (150)
- Issue 1 (28)
- Issue 2 (32)
- Issue 3 (44)
- Issue 4 (46)

Volume 11 (190)
- Issue 1 (42)
- Issue 2 (45)
- Issue 3 (50)
- Issue 4 (53)

Volume 12 (244)
- Issue 1 (55)
- Issue 2 (59)
- Issue 3 (63)
- Issue 4 (67)

Volume 13 (45)
- Issue 1 (15)
- Issue 2 (15)
- Issue 3 (15)

Countries

Uncertain Supply Chain Management

ISSN 2291-6830 (Online) - ISSN 2291-6822 (Print) Quarterly Publication Volume 5 Issue 3 pp. 229-242 , 2017

A multi-production inventory model for deteriorating items considering penalty and environmental pollution cost with failure rework Pages 229-242 Download PDF

Authors: T. Sekar, R. Uthayakumar

DOI: 10.5267/j.uscm.2016.12.003

Keywords: Multi-production run, Internally deteriorating items, Failure rework, Environmental pollution cost, Penalty cost, Scrap cost

Abstract: Many researchers focused on economic production quantity (EPQ) model for deteriorating items with rework of defective items in a single production run. Few of them proposed the model for multi-production inventory model under the assumptions (i) all the defective items can be reproduced as serviceable items and (ii) all the deteriorating items can be detached from the inventory through screening process. However, in real life manufacturing systems, due to controllable or uncontrollable factors, the defective items may not be reproduced as serviceable items and hence the generation of scrap (disposable) items is potential. It is possible that the internally deteriorating items like fruits, vegetables, eggs, pharmaceutical drugs, etc. pass on to customers which will make negative impact on corporate image in the global market. This paper presents a multi-production run inventory model for deteriorating items with scrap, defective items, failure rework and penalty cost for selling the deteriorating items to customers under finite planning horizon. Our objective is to determine the optimal production run, optimal finite planning horizon by minimizing the total cost of the system. A solution procedure with an algorithm is proposed and a numerical example is provided to demonstrate the applicability of the model. Finally, sensitivity analysis is provided to provide managerial phenomena of the system.

How to cite this paper

 Sekar, T & Uthayakumar, R. (2017). A multi-production inventory model for deteriorating items considering penalty and environmental pollution cost with failure rework.Uncertain Supply Chain Management, 5(3), 229-242.

Refrences

Barketau, M. S., Cheng, T. E., & Kovalyov, M. Y. (2008). Batch scheduling of deteriorating reworkables. European Journal of Operational Research, 189(3), 1317-1326.
Drury, C. G. (1978). Integrating human factors models into statistical quality control. Human Factors: The Journal of the Human Factors and Ergonomics Society, 20(5), 561-572.
Drury, C. G., & Prabhu, P. V., (1994). Human factors in test and inspection. In G. Salvendy & W. Karwowski (Eds.), Design of work and development of personnel in advanced manufacturing (pp. 355–401). New York: John Wiley & Sons Inc.
Hsu, L. F., & Hsu, J. T. (2016). Economic production quantity (EPQ) models under an imperfect production process with shortages backordered. International Journal of Systems Science, 47(4), 852-867.
Jaggi, C. K., Tiwari, S., & Shafi, A. (2015). Effect of deterioration on two-warehouse inventory model with imperfect quality. Computers & Industrial Engineering, 88, 378-385.
Jaggi, C., Khanna, A., & Nidhi, N. (2016a). Effects of inflation and time value of money on an inventory system with deteriorating items and partially backlogged shortages. International Journal of Industrial Engineering Computations, 7(2), 267-282.
Jaggi, C., Tiwari, S., & Goel, S. (2016b). Replenishment policy for non-instantaneous deteriorating items in a two storage facilities under inflationary conditions. International Journal of Industrial Engineering Computations, 7(3), 489-506.
Khouja, M. (2000). The economic lot and delivery scheduling problem: common cycle, rework, and variable production rate. IIE Transactions, 32(8), 715-725.
Kaliraman, N.K., Raj, R., Chandra, S., & Chaudhry, H. (2015). An EPQ inventory model for deteriorating items with Weibull deterioration under stock dependent demand. International Journal of Scientific & Technology Research, 4(1), 232-236.
Khanna, A., Kishore, A., & Jaggi, C. (2017). Strategic production modeling for defective items with imperfect inspection process, rework, and sales return under two-level trade credit. International Journal of Industrial Engineering Computations, 8(1), 85-118.
Kumar, M., Chauhan, A., & Kumar, P. (2011). Economic production lot size model with stochastic demand and shortage partial backlogging rate under imperfect quality items. International Journal of Advanced Science and Technology (IJAST), 31(1), 1-22.
Kumar, S., & Rajput, U. S. (2016). A Probabilistic Inventory Model for Deteriorating Items with Ramp Type Demand Rate under Inflation. American Journal of Operational Research, 6(1), 16-31.
Mishra, V. K., Singh, L. S., & Kumar, R. (2013). An inventory model for deteriorating items with time-dependent demand and time-varying holding cost under partial backlogging. Journal of Industrial Engineering International, 9(1), 1-5.
Mukhopadhyay, A., & Goswami, A. (2013). Economic Production Quantity (EPQ) model for three type imperfect items with rework and learning in setup. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 4(1), 57-65.
Pal, S., Mahapatra, G. S., & Samanta, G. P. (2014). An EPQ model of ramp type demand with Weibull deterioration under inflation and finite horizon in crisp and fuzzy environment. International Journal of Production Economics, 156, 159-166.
Pal, S., Mahapatra, G. S., & Samanta, G. P. (2015). A production inventory model for deteriorating item with ramp type demand allowing inflation and shortages under fuzziness. Economic Modelling, 46, 334-345.
Rastogi, M., Singh, S., Kushwah, P., & Tayal, S. (2017). Two warehouse inventory policy with price dependent demand and deterioration under partial backlogging. Decision Science Letters, 6(1), 11-22.
Rezaei, J., & Salimi, N. (2012). Economic order quantity and purchasing price for items with imperfect quality when inspection shifts from buyer to supplier. International Journal of Production Economics, 137(1), 11-18.
Sangal, I., Agarwal, A., & Rani, S. (2016). A fuzzy environment inventory model with partial backlogging under learning effect. International Journal of Computer Applications, 137, 25-32.
Sarkar, B., Cárdenas-Barrón, L. E., Sarkar, M., & Singgih, M. L. (2014). An economic production quantity model with random defective rate, rework process and backorders for a single stage production system. Journal of Manufacturing Systems, 33(3), 423-435.
Schrady, D. A. (1967). A deterministic inventory model for reparable items. Naval Research Logistics Quarterly, 14(3), 391-398.
Shukla, H., Tripathi, R., & Sang, N. (2016). Economic production quantity model for defective items under deterioration. Uncertain Supply Chain Management, 4(3), 221-232.
Singh, S., Jain, S., & Pareek, S. (2014). An economic production model for time dependent demand with rework and multiple production setups. International Journal of Industrial Engineering Computations, 5(2), 305-314.
Singh, S.R., Agarwal, A., & Rani. S. (2015). Mathematical production inventory model for deteriorating items with time dependent demand rate under the effect of inflation and shortages. International Journal of Computer & Mathematical Sciences, 4, 138-148.
Tai, A. H. (2013). Economic production quantity models for deteriorating/imperfect products and service with rework. Computers & Industrial Engineering, 66(4), 879-88.
Widyadana, G. A., & Wee, H. M. (2012). An economic production quantity model for deteriorating items with multiple production setups and rework. International Journal of Production Economics, 138(1), 62–67.
Yassine, A., Maddah, B.,& Salameh, M., (2012). Disaggregation and consolidation of imperfect quality shipments in an extended EPQ model. International Journal of Production Economics, 135(1), 345–52.
Yoo, S. H., Kim, D., & Park, M. S. (2009). Economic production quantity model with imperfect-quality items, two-way imperfect inspection and sales return. International Journal of Production Economics, 121(1), 255-265.
Zhou, Y., Chen, C., Li, C., & Zhong, Y. (2016). A synergic economic order quantity model with trade credit, shortages, imperfect quality and inspection errors. Applied Mathematical Modelling, 40(2), 1012-1028.