Cárdenas-Barrón, L.E., Taleizadeh, A.A., Treviño-Garza, G. (2012).  An improved solution to replenishment lot size problem with discontinuous issuing policy and rework, and the multi-delivery policy into economic production lot size problem with partial rework, Expert Systems with Applications, Volume 39, Issue 18, Pages 13540-13546. 10.1016/j.eswa.2012.07.012

Cárdenas-Barrón, L.E., Sarkar, B., Treviño-Garza, G. (2013). An improved solution to the replenishment policy for the EMQ model with rework and multiple shipments, Applied Mathematical Modelling, Volume 37, Issue 7, Pages 5549-5554. 10.1016/j.apm.2012.10.017

Cárdenas-Barrón, L.E., Sarkar, B., Treviño-Garza, G. (2013). Easy and Improved Algorithms to Joint Determination of the Replenishment Lot Size and Number of Shipments for an EPQ Model with Rework, Mathematical and Computational Applications, 18, No. 2: 132-138. 10.3390/mca18020132

Cárdenas-Barrón, L.E., Treviño-Garza, G., Widyadana, G.A., Wee, H.M. (2014). A constrained multi-products EPQ inventory model with discrete delivery order and lot size, Applied Mathematics and Computation, Volume 230, Pages 359-370. 10.1016/j.amc.2013.12.077

Cárdenas-Barrón, L.E., Treviño-Garza, G., Taleizadeh, A.A., Vasant, P. (2015). Determining Replenishment Lot Size and Shipment Policy for an EPQ Inventory Model with Delivery and Rework, Mathematical Problems in Engineering, Volume 2015: 595498. 10.1155/2015/595498

Chen, K.K., Chiu, S.W. (2011). Replenishment Lot Size and Number of Shipments for EPQ Model Derived Without Derivatives, Mathematical and Computational Applications, 16, No. 3: 753-760. 10.3390/mca16030753

Chen, K.K., Wu, M.F., Chiu, S.W., Lee, C.H. (2012). Alternative approach for solving replenishment lot size problem with discontinuous issuing policy and rework, Expert Systems with Applications, Volume 39, Issue 2, Pages 2232-2235. 10.1016/j.eswa.2011.08.030

Chiu, S.W., Lin, L.W., Chen, K.K., Chou, C.L. (2013). Determining production–shipment policy for a vendor–buyer integrated system with rework and an amending multi-delivery schedule, Economic Modelling, Volume 33, Pages 668-675. 10.1016/j.econmod.2013.05.020

Chiu, Y.S.P., Chiu, S.W., Li, C.Y., Ting, C.K. (2009). Incorporating multi- delivery policy and quality assurance into economic production lot size problem, J Sci Ind Res, 68, 505-512.

Chiu, S.W., Lin, H., Cheng, C., Chung, C. (2009). Optimal production-shipment decisions for the finite production rate model with scrap, International Journal for Engineering Modelling, 22 (1-4), 25-34.

Chiu, Y.S.P., Chen, K.K., Chang, H.H. (2010). Solving an Economic Production Lot Size Problem with Multi- Delivery Policy and Quality Assurance Using an Algebraic Approach, Journal of Scientific & Industrial Research, Vol. 69, No. 12, pp. 926-929.

Chiu, S.W., Chiu, Y.P., Lin, C.K., Chang, C. (2010). Solving finite production rate model with scrap and multiple shipments using algebraic approach, International Journal for Engineering Modelling, 23 (1-4), 43-47.

Chiu, Y.S.P., Liu, S.C., Chiu, C.L., Chang, H.H. (2011). Mathematical modeling for determining the replenishment policy for EMQ model with rework and multiple shipments, Mathematical and Computer Modelling, Volume 54, Issues 9–10, Pages 2165-2174. 10.1016/j.mcm.2011.05.025

Chiu, S.W., Chen, K.K., Lin, H.D. (2011). Numerical method for determination of the optimal lot size for a manufacturing system with discontinuous issuing policy and rework, International Journal for Numerical Methods in Biomedical Engineering, 27, 1545–1557. 10.1002/cnm.1369

Chiu, S.W., Lin, H.D., Wu, M.F., Yang, J.C. (2011). Determining replenishment lot size and shipment policy for an extended EPQ model with delivery and quality assurance issues, Scientia Iranica, Volume 18, Issue 6, Pages 1537-1544. 10.1016/j.scient.2011.09.008

Chiu, Y.S.P., Chang, C.Y., Ting, C.K., Chiu, S.W. (2011). Effect of variable shipping frequency on production-distribution policy in a vendor-buyer integrated system, International Journal for Engineering Modelling, vol.24, no. 1-4, pp. 11-20.

Chiu, S.W., Gong, D.C., Chiu, C.L., Chung, C.L. (2011). Joint Determination of the Production Lot Size and Number of Shipments for EPQ Model with Rework, Mathematical and Computational Applications, Vol 16, No. 2, pp 317-328. 10.3390/mca16020317

Chiu, Y.S.P., Lin, H., Hwang, M., Pan, N. (2011). Computational Optimization of Manufacturing Batch Size and Shipment for an Integrated EPQ Model with Scrap, American Journal of Computational Mathematics, Vol. 1 No. 3, pp. 202-207. 10.4236/ajcm.2011.13023

Chiu, S.W., Chiu, Y.S.P., Yang, J.C. (2012). Combining an alternative multi-delivery policy into economic production lot size problem with partial rework, Expert Systems with Applications, Volume 39, Issue 3, Pages 2578-2583. 10.1016/j.eswa.2011.08.112

Chiu, S.W., Chen, K.K., Chiu, Y.S.P., Ting, C.K. (2012). Notes on the mathematical modeling approach used to determine the replenishment policy for the EMQ model with rework and multiple shipments, Applied Mathematics Letters, Volume 25, Issue 11, Pages 1964-1968. /10.1016/j.aml.2012.03.010

Chiu, Y.P., Pan, N., Chiu, S.W., Chiang, K. (2012). Optimal production cycle time for multi-item FPR model with rework and multi-shipment policy, International Journal for Engineering Modelling, 25 (1-4), 51-57.

Chiu, Y.S.P., Cheng, F.T., Chen, K.K., Chang, H.H. (2012). Reexamining a Specific Vendor-buyer System with Rework and an Improving Delivery Plan Using an Alternative Approach, Wseas Transaction on Systems, Issue 5, Volume 11, pages 153-162.

Chiu, Y.S.P., Lin, Y.C., Chiu, S.W., Ting, C.K. (2012). Joint determination of lot-size and shipment policy for a vendor-buyer system with rework and an improving delivery plan, African Journal of Business Management, 6, 333-340. 10.5897/AJBM11.2366

Chiu, S.W., Lee, C.H., Cheng, F.T., Ting, C.K. (2013). Production–shipment policy for EPQ model with quality assurance and an improved delivery schedule, Mathematical and Computer Modelling of Dynamical Systems, 19:4, 344-352. 10.1080/13873954.2013.763282

Chiu, Y.S.P., Lin, H.D., Cheng, F.T., Hwang, M.H. (2013). Optimal common cycle time for a multi-item production system with discontinuous delivery policy and failure in rework, Journal of Scientific & Industrial Research, Vol. 72, No. 7, pp. 435-440.

Chiu, Y.S.P., Huang, C.C., Wu, M.F., Chang, H.H. (2013). Joint determination of rotation cycle time and number of shipments for a multi-item EPQ model with random defective rate, Economic Modelling, Volume 35, Pages 112-117. 10.1016/j.econmod.2013.06.024

Chiu, Y.S.P., Chen, K.K., Cheng, F.T., Ting, C.K. (2013). Reexamination of “Combining an alternative multi-delivery policy into economic production lot size problem with partial rework” Using an Alternative Approach, Journal of Applied Research and Technology, Volume 11, Issue 3, Pages 317-323. 10.1016/S1665-6423(13)71541-4

Chiu, S.W., Kuo, Y.Y., Huang, C.C., Chiu, Y.S.P. (2013). Random scrap rate effect on multi-item finite production rate model with multi-shipment policy, Research Journal of Applied Sciences, Engineering and Technology, 5(22): 5164-5169. 10.19026/rjaset.5.4260

Chiu, S.W., Pai, F.Y., Wu, W.K. (2013). Alternative approach to determine the common cycle time for a multi-item production system with discontinuous deliveries and failure in rework, Economic Modelling, Volume 35, Pages 593-596. 10.1016/j.econmod.2013.08.017

Chiu, Y.S.P., Chen, Y.C., Lin, H.D., Chang, H.H. (2014). Combining an improved multi-delivery policy into a single-producer multi-retailer integrated inventory system with scrap in production, Economic Modelling, Volume 39, Pages 163-167. 10.1016/j.econmod.2014.02.031

Chiu, Y.S.P., Lin, L.W., Pai, F.Y., Chiu, S.W. (2014). Finite Production Rate Model With Quality Assurance, Multi-customer and Discontinuous Deliveries, Journal of Applied Research and Technology, Volume 12, Issue 1, Pages 5-13. 10.1016/S1665-6423(14)71601-3

Chiu, S.W., Chiu, Y.S.P., Li, T.W., Chen, H.M. (2014). A multi-product FPR model with rework and an improved delivery policy, International Journal for Engineering Modelling ,27, No. 3-4, 111-118.

Chiu, S.W., Sung, P.C., Tseng, C.T., Chiu, Y.S.P. (2015). Multi-product FPR model with rework and multi-shipment policy resolved by algebraic approach, Journal of Scientific & Industrial Research, 74, 555–559.

Chiu, S.W., Lin, H.D., Song, M.S., Chen, H.M., Chiu, Y.S.P. (2015). An extended EPQ-based problem with a discontinuous delivery policy, scrap rate, and random breakdown, The Scientific World Journal, 2015:621978. 10.1155/2015/621978

Chiu, S.W., Sung, P.C., Chang, H.H. (2015). A note on joint determination of the rotation cycle time and number of shipments for a multiitem EPQ model with a random defective rate. International Journal for Engineering Modelling, 28: 17-27.

Chiu, Y.S.P., Hsieh, Y.T., Kuo, J.S., Chiu, S.W. (2016). A delayed differentiation multi-product FPR model with scrap and a multi-delivery policy – I: Using single-machine production scheme, International Journal for Engineering Modelling, 29, No. 1-4: 37-52.

Chiu, S.W., Hsieh, Y.T., Chiu, Y.S.P., Hwang, M.H. (2016). A delayed differentiation multi-product FPR model with scrap and a multi-delivery policy – II: Using two-machine production scheme, International Journal for Engineering Modelling, 29, No. 1-4: 53-68.

Ritha, W., Martin, N. (2013). Replenishment Policy for EMQ Model with Rework, Multiple Shipments, Switching and Packaging, International Journal of Engineering Research & Technology (IJERT), Volume 02, Issue 01. 10.17577/IJERTV2IS1344

Chiu, Y.S.P., Liang, G.M., Chiu, S.W. (2016). Solving a Fabrication Lot-Size and Shipping Frequency Problem with an Outsourcing Policy and Random Scrap, Mathematical and Computational Applications, 21, No. 4: 45. 10.3390/mca21040045

Chiu, Y.S.P., Chiang, K.W., Chiu, S.W., Song, M.S. (2016). Simultaneous determination of production and shipment decisions for a multi-product inventory system with a rework process, Advances in Production Engineering And Management, 11, 141–151. 10.14743/apem2016.2.216

Chiu, S.W., Liu, C., Li, Y. i Chou, C. (2017). Manufacturing lot size and product distribution problem with rework, outsourcing and discontinuous inventory distribution policy, International Journal for Engineering Modelling, 30 (1-4), 49-61.

Fallahi, A., Azimi-Dastgerdi, A., Mokhtari, H. (2023). A sustainable production-inventory model joint with preventive maintenance and multiple shipments for imperfect quality items, Scientia Iranica, 30(3), 1204-1223. 10.24200/sci.2021.55927.4475

Goyal, S.K., Nebebe, F. (2000). Determination of economic production–shipment policy for a single-vendor–single-buyer system, European Journal of Operational Research, Volume 121, Issue 1, Pages 175-178. 10.1016/S0377-2217(99)00013-2

Harris, F.W. (1913). How Many Parts to Make at Once. Factory, The Magazine of Management, 10, 135-136, 152.

Jawanmardi, Ehsan, (2009). Inventory Control, Payam Noor University Press Shiraz (In Persian).

Jonrinaldi., Rahman, T., Henmaidi., Wirdianto, E., Zhang, D.Z. (2018). A Multiple Items EPQ/EOQ Model for a Vendor and Multiple Buyers System with Considering Continuous and Discrete Demand Simultaneously, IOP Conference Series: Materials Science and Engineering, Yogyakarta, Indonesia, (The 4th Asia Pacific Conference on Manufacturing Systems and the 3rd International Manufacturing Engineering Conference 7–8 December 2017), Volume 319, 012037. 10.1088/1757-899X/319/1/012037

Kalantari, S.S., Taleizadeh, A.A. (2020). Mathematical modelling for determining the replenishment policy for deteriorating items in an EPQ model with multiple shipments, International Journal of Systems Science: Operations & Logistics, 7:2, 164-171. 10.1080/23302674.2018.1542753

Kim, S.L., Banerjee, A., Burton, J. (2008). Production and delivery policies for enhanced supply chain partnerships, International Journal of Production Research, 46:22, 6207-6229. 10.1080/00207540701472124

Lee, T.J., Chiu, S.W., Chang, H.H. (2011). On Improving Replenishment Lot Size of an Integrated Manufacturing System with Discontinuous Issuing Policy and Imperfect Rework, American Journal of Industrial and Business Management, Vol. 1 No. 1, 2011, pp. 20-29. 10.4236/ajibm.2011.11003

Pasandideh, S.H.R., Akhavan Niaki, S.T., Yeganeh, J.A. (2010). A parameter-tuned genetic algorithm for multi-product economic production quantity model with space constraint, discrete delivery orders and shortages, Advances in Engineering Software, Volume 41, Issue 2, Pages 306-314. 10.1016/j.advengsoft.2009.07.001

Pasandideh, S.H.R., Akhavan Niaki, S.T. (2008). A genetic algorithm approach to optimize a multi-products EPQ model with discrete delivery orders and constrained space, Applied Mathematics and Computation, Volume 195, Issue 2, 2008, Pages 506-514. 10.1016/j.amc.2007.05.007

Poursaidi, Mohammad Hossein, (2012). Production and inventory planning and control, Mahan Publishing House Tehran (In Persian)

Priyan, S., Uthayakumar, R. (2017). Setup cost reduction EMQ inventory system with probabilistic defective and rework in multiple shipments management, International Journal of System Assurance Engineering and Management,8: 223–241. 10.1007/s13198-016-0418-2

Taleizadeh, A.A., Kalantari, S.S., Cárdenas-Barrón, L.E. (2015). Determining optimal price, replenishment lot size and number of shipments for an EPQ model with rework and multiple shipments, Journal of Industrial and Management Optimization, Volume 11, Number 4: 1059-1071. 10.3934/jimo.2015.11.1059

Treviño-Garza, G., Castillo-Villar, K.K., Cárdenas-Barrón, L.E. (2015). Joint determination of the lot size and number of shipments for a family of integrated vendor–buyer systems considering defective products, International Journal of Systems Science, 46:9, Vol. 46, No. 9, 1705–1716. 10.1080/00207721.2014.886750Sarker, B.R., Jamal, A.M.M. (1993). An optimal batch size for a production system operating under a just-in-time delivery system, International Journal of Production Economics, Vol. 32, No. 2, pp.255–260. 10.1016/0925-5273(93)90072-S

Sarker, B.R., Parija, G.R. (1994). An optimal batch size for a production system operating under a fixed-quantity, periodic delivery policy, Journal of the Operational Research Society, Vol. 45, No. 8, pp.891–900. 10.1057/jors.1994.141

Sarker, R.A., Khan, L.R. (2001). An optimal batch size under a periodic delivery policy, International Journal of Systems Science, 32 (9), 1089–1099. 10.1080/00207720010015717

Sarker, R.A., Khan, L.R. (2002). An optimal batch size for a JIT manufacturing system, Comput Ind Eng, 42(2–4):127–136. 10.1016/S0360-8352(02)00009-8

Sarker, B.R., Golhar, D.Y. (1992). Economic manufacturing quantity in a just-in time delivery system, International Journal of Production Research, Vol. 30, No. 5, pp.961–972. 10.1080/00207549208942936

Siajadi, H., Ibrahim, R.N., Lochert, P.B. (2006). Joint economic lot size in distribution system with multiple shipment policy, International Journal of Production Economics, Volume 102, Issue 2, 2006, Pages 302-316. 10.1016/j.ijpe.2005.04.003

Taleizadeh, A.A., Kalantari, S.S., Cárdenas-Barrón, L.E. (2016). Pricing and lot sizing for an EPQ inventory model with rework and multiple shipments, TOP 24, 143–155. 10.1007/s11750-015-0377-9

Taft, E.W. (1918). The most economical production lot, Iron Age, vol. 101, pp.1410-1412.

Tseng, C.T., Wu, M.F., Lin, H.D., Chiu, Y.S.P. (2014). Solving a vendor–buyer integrated problem with rework and a specific multi-delivery policy by a two-phase algebraic approach, Economic Modelling, Volume 36, Pages 30-36. 10.1016/j.econmod.2013.09.013

Widyadanaa, G.A., Wee, H.M. (2009). A multi-product EPQ model with discrete delivery order: a Langrangean solution approach, in: Global Perspective for Competitive Enterprise, Economy and Ecology Advanced Concurrent Engineering, pp. 601–608. 10.1007/978-1-84882-762-2_57

Wilson, R.H. (1934). A Scientific Routine for Stock Control, Harvard Business Review, Vol. 13, No. 1, pp. 116-128.

Wu, M.F., Chiu, Y.S.P., Sung, P.C. (2014). Optimization of a multi-product EPQ model with scrap and an improved multi-delivery policy, Journal of Engineering Research, 2, 27. 10.7603/s40632-014-0027-7