A predetermined production rate in a supply chain model with economic production lot size is quite appropriate for this type of situations as production rate can be changed in some cases to fulfill demand of customers. This paper investigates an integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost. As a rate of production has a direct impact on system performance, the production rate is considered as a variable along with the production cost. This production process gone through a long run system as a result after some specific time the production gone out-of-control state due to different issues and produced defective items. In addition, we consider that the defective follows three types of probability distribution function such as, (i) uniform, (ii) triangular and (iii) beta distributions. Two types of lead time crashed concept considering in this model and also we consider three types of continuous probabilistic defective function to find the associated cost of the system. The main objective is to find an optimal solution for an order quantity, safety factor, production cost, setup cost and to analyze how the flexibility of the production rate affects the process quality. An efficient iterative algorithm is designed to obtain the optimal solution of the model numerically and sensitivity analysis table formulate to show the impact of different parameter.
Mots-clés : Production rate, quality management, probabilistic defective, inspection, lead time reduction
@article{RO_2020__54_6_1723_0,
author = {Hemapriya, S. and Uthayakumar, R.},
title = {Integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {1723--1756},
publisher = {EDP-Sciences},
volume = {54},
number = {6},
year = {2020},
doi = {10.1051/ro/2019107},
mrnumber = {4150243},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/ro/2019107/}
}
TY - JOUR AU - Hemapriya, S. AU - Uthayakumar, R. TI - Integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2020 SP - 1723 EP - 1756 VL - 54 IS - 6 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2019107/ DO - 10.1051/ro/2019107 LA - en ID - RO_2020__54_6_1723_0 ER -
%0 Journal Article %A Hemapriya, S. %A Uthayakumar, R. %T Integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost %J RAIRO - Operations Research - Recherche Opérationnelle %D 2020 %P 1723-1756 %V 54 %N 6 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2019107/ %R 10.1051/ro/2019107 %G en %F RO_2020__54_6_1723_0
Hemapriya, S.; Uthayakumar, R. Integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 6, pp. 1723-1756. doi : 10.1051/ro/2019107. http://archive.numdam.org/articles/10.1051/ro/2019107/
[1] and , A supply chain model with vendor-managed inventory, consignment, and quality inspection errors. Int. J. Prod. Res. 55 (2017) 5706–5727. | DOI
[2] and , Controlling setup cost in inventory model with defective items. Appl. Math. Model. 34 (2010) 1418–1427. | DOI | MR | Zbl
[3] and , Inventory models involving lead time as a decision variable. J. Oper. Res. Soc. 45 (1994) 579–582. | DOI | Zbl
[4] and , Optimal vendor investment for reducing defect rate in a vendor–buyer integrated system with imperfect production process. Int. J. Prod. Econ. 155 (2014) 222–228. | DOI
[5] and , A new approach to deal with learning in inspection in an integrated vendor–buyer model with imperfect production process. Comput. Ind. Eng. 131 (2019) 515–523. | DOI
[6] and , An inventory model with uncertain demand and lost sales reduction under service level constraint. Int. J. Syst. Assur. Eng. Manage. 8 (2017) 1399–1418. | DOI
[7] and , Two EPQ models with imperfect production processes, inspection errors, planned backorders, and sales returns. Comput. Ind. Eng. 64 (2013) 389–402. | DOI
[8] and , An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns. Int. J. Prod. Econ. 143 (2013) 162–170. | DOI
[9] , and , Supply chain coordination with emissions reduction incentives. Int. J. Prod. Res. 51 (2013) 69–82. | DOI
[10] , , and , An integrated inventory model for supplier–manufacturer–retailer system with imperfect quality and inspection errors. Int. J. Logistics Syst. Manage. 24 (2016) 383–407.
[11] , and , An economic order quantity (EOQ) for items with imperfect quality and inspection errors. Int. J. Prod. Econ. 133 (2011) 113–118. | DOI
[12] and , Economic production lot size model with variable production rate and imperfect quality. J. Oper. Res. Soc. 45 (1994) 1405–1417. | DOI | Zbl
[13] and , An analytical determination of lead time with normal demand. Int. J. Oper. Prod. Manage. 11 (1991) 72–78. | DOI
[14] and , Evaluating the effect of speed and payload on robot repeatability. Rob. Comput.-Integr. Manuf. 8 (1991) 27–33. | DOI
[15] , and , Mixture inventory model with backorders and lost sales for variable lead time. J. Oper. Res. Soc. 47 (1996) 829–832. | DOI | Zbl
[16] and , A manufacturing-oriented supply chain model for imperfect quality with inspection errors, stochastic demand under rework and shortages. Comput. Ind. Eng. 106 (2017) 299–314. | DOI
[17] and , An EPQ model with variable production, probabilistic deterioration and partial backlogging under inflation. J. Manage. Anal. 1 (2014) 200–223.
[18] and , A production-inventory model with promotional effort, variable production cost and probabilistic deterioration. Int. J. Syst. Assur. Eng. Manage. 8 (2017) 290–300. | DOI
[19] and , A study of an integrated inventory with controllable lead time. Int. J. Oper. Prod. Res. 40 (2002) 1263–1273. | DOI | Zbl
[20] and , An integrated production-distribution inventory system involving probabilistic defective and errors in quality inspection under variable setup cost. Int. Trans. Oper. Res. 24 (2017) 1487–1524. | DOI | MR | Zbl
[21] and , Economic production cycles with imperfect production processes. IIE Trans. 18 (1986) 48–55. | DOI
[22] and , Improved quality, setup cost reduction, and variable backorder costs in an imperfect production process. Int. J. Prod. Econ. 155 (2014) 204–213. | DOI
[23] , , , and , Effects of variable production rate on quality of products in a single-vendor multi-buyer supply chain management. Int. J. Adv. Manuf. Technol. 99 (2018) 567–581. | DOI
[24] , and , An inventory model for imperfect items under inflationary conditions with considering inspection errors. Comput. Math. App. 63 (2012) 1007–1019. | MR | Zbl
[25] , and , Vendor-managed inventory with consignment stock agreement for single vendor-single buyer under the emission-trading scheme. Int. J. Prod. Res. 52 (2014) 20–31. | DOI
Cité par Sources :
