An integrated production inventory model of deteriorating items subject to random machine breakdown with a stochastic repair time

Luong, H.; Karim, R.

Growing Science » International Journal of Industrial Engineering Computations » An integrated production inventory model of deteriorating items subject to random machine breakdown with a stochastic repair time

Journals

IJIEC Volumes

Volume 1 (17)
- Issue 1 (9)
- Issue 2 (8)

Volume 2 (68)
- Issue 1 (12)
- Issue 2 (20)
- Issue 3 (20)
- Issue 4 (16)

Volume 3 (76)
- Issue 1 (9)
- Issue 2 (15)
- Issue 3 (20)
- Issue 4 (12)
- Issue 5 (20)

Volume 4 (50)
- Issue 1 (14)
- Issue 2 (10)
- Issue 3 (12)
- Issue 4 (14)

Volume 5 (47)
- Issue 1 (13)
- Issue 2 (12)
- Issue 3 (12)
- Issue 4 (10)

Volume 6 (39)
- Issue 1 (7)
- Issue 2 (12)
- Issue 3 (10)
- Issue 4 (10)

Volume 7 (47)
- Issue 1 (10)
- Issue 2 (14)
- Issue 3 (10)
- Issue 4 (13)

Volume 8 (30)
- Issue 1 (9)
- Issue 2 (7)
- Issue 3 (8)
- Issue 4 (6)

Volume 9 (32)
- Issue 1 (9)
- Issue 2 (6)
- Issue 3 (7)
- Issue 4 (10)

Volume 10 (34)
- Issue 1 (8)
- Issue 2 (10)
- Issue 3 (8)
- Issue 4 (8)

Volume 11 (36)
- Issue 1 (9)
- Issue 2 (8)
- Issue 3 (9)
- Issue 4 (10)

Volume 12 (29)
- Issue 1 (9)
- Issue 2 (6)
- Issue 3 (8)
- Issue 4 (6)

Volume 13 (41)
- Issue 1 (10)
- Issue 2 (8)
- Issue 3 (10)
- Issue 4 (13)

Volume 14 (50)
- Issue 1 (11)
- Issue 2 (15)
- Issue 3 (9)
- Issue 4 (15)

Volume 15 (55)
- Issue 1 (19)
- Issue 2 (15)
- Issue 3 (12)
- Issue 4 (9)

Volume 16 (12)
- Issue 1 (12)

Countries

International Journal of Industrial Engineering Computations

ISSN 1923-2934 (Online) - ISSN 1923-2926 (Print) Quarterly Publication Volume 8 Issue 2 pp. 217-236 , 2017

An integrated production inventory model of deteriorating items subject to random machine breakdown with a stochastic repair time Pages 217-236 Download PDF

Authors: Huynh Trung Luong, Rubayet Karim

DOI: 10.5267/j.ijiec.2016.9.004

Keywords: Production- inventory model, Continuous review system, Stochastic repair time, Deteriorating item, Optimization

Abstract: In a continuous manufacturing environment where production and consumption occur simultaneously, one of the biggest challenges is the efficient management of production and inventory system. In order to manage the integrated production inventory system economically it is necessary to identify the optimal production time and the optimal production reorder point that either maximize the profit or minimize the cost. In addition, during production the process has to go through some natural phenomena like random breakdown of machine, deterioration of product over time, uncertainty in repair time that eventually create the possibility of shortage. In this situation, efficient management of inventory & production is crucial. This paper addresses the situation where a perishable (deteriorated) product is manufactured and consumed simultaneously, the demand of this product is stable over the time, machine that produce the product also face random failure and the time to repair this machine is also uncertain. In order to describe this scenario more appropriately, the continuously reviewed Economic Production Quantity (EPQ) model is considered in this research work. The main goal is to identify the optimal production uptime and the production reorder point that ultimately minimize the expected value of total cost consisting of machine setup, deterioration, inventory holding, shortage and corrective maintenance cost.

How to cite this paper

 Luong, H & Karim, R. (2017). An integrated production inventory model of deteriorating items subject to random machine breakdown with a stochastic repair time.International Journal of Industrial Engineering Computations , 8(2), 217-236.

Refrences

Berk, E., & Gürler, Ü. (2008). Analysis of the (Q, r) inventory model for perishables with positive lead times and lost sales. Operations Research,56(5), 1238-1246.
Chiu, S. W., Wang, S. L., & Chiu, Y. S. P. (2007). Determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns.European Journal of Operational Research, 180(2), 664-676..
Chiu, Y. S. P., Lin, H. D., & Chang, H. H. (2011). Mathematical modeling for solving manufacturing run time problem with defective rate and random machine breakdown. Computers & Industrial Engineering, 60(4), 576-584.
Gürler, Ü., & Özkaya, B. Y. (2003). A note on “continuous review perishable inventory systems: models & heuristics”. IIE Transactions, 35(3), 321-323.
Gürler, Ü., & Özkaya, B. Y. (2008). Analysis of the (s, S) policy for perishables with a random shelf life. IIe Transactions, 40(8), 759-781.
He, Y., Wang, S. Y., & Lai, K. K. (2010). An optimal production-inventory model for deteriorating items with multiple-market demand. European Journal of Operational Research, 203(3), 593-600.
Liu, L., & Lian, Z. (1999). (s, S) continuous review models for products with fixed lifetimes. Operations Research, 47(1), 150-158.
Lin, G. C., & Gong, D. C. (2006). On a production-inventory system of deteriorating items subject to random machine breakdowns with a fixed repair time. Mathematical and Computer Modelling, 43(7), 920-932.
Nahmias, S. (2011). Perishable inventory systems (Vol. 160). Springer Science & Business Media.
Rau, H., Wu, M. Y., & Wee, H. M. (2003). Integrated inventory model for deteriorating items under a multi-echelon supply chain environment.International journal of production economics, 86(2), 155-168.
Tekin, E., Gürler, Ü., & Berk, E. (2001). Age-based vs. stock level control policies for a perishable inventory system. European Journal of Operational Research, 134(2), 309-329.
Tersine, R.J. (1994). Principles of Inventory & Materials Management. Prentice-Hall International.
Weiss, H. J. (1980). Optimal ordering policies for continuous review perishable inventory models. Operations Research, 28(2), 365-374.
Widyadana, G. A., & Wee, H. M. (2011). Optimal deteriorating items production inventory models with random machine breakdown and stochastic repair time. Applied Mathematical Modelling, 35(7), 3495-3508.
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.
Yang, P. C., & Wee, H. M. (2003). An integrated multi-lot-size production inventory model for deteriorating item. Computers & Operations Research,30(5), 671-682.