A deteriorating inventory model for determining optimal replenishment run time with failure rework and shortage

References

• Chakrabarty, R., Roy, T., & Chaudhuri, K. S. (2017). A production: Inventory model for defective items with shortages incorporating inflation and time value of money. International Journal of Applied and Computational Mathematics, 3(1), 195–212. doi: 10.1007/s40819-015-0099-6
   Google Scholar
• Chiu, Y. S. P., Li, Y. Y., Chiu, T., & Chiu, S. W. (2018). Determining optimal uptime considering an unreliable machine, a maximum permitted backorder level, a multi-delivery plan, and disposal/rework of imperfect items. Journal of King Saud University-Engineering Sciences. https://doi.org/10.1016/j.jksues.2018.11.002
   Google Scholar
• Chiu, S. W., Wang, S. L., & Chiu, Y. P. (2007). Determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns. European Journal of Operational Research, 180, 664–676. doi: 10.1016/j.ejor.2006.05.005
   Web of Science ®Google Scholar
• Chowdhury, R. R., Ghosh, S. K., & Chaudhuri, K. S. (2017). An optimal inventory replenishment policy for a perishable item with time quadratic demand and partial backlogging with shortages in all cycles. International Journal of Applied and Computational Mathematics, 3(2), 1001–1017. doi: 10.1007/s40819-016-0162-y
   Google Scholar
• Feng, L., Chan, Y. L., & Cárdenas-Barrón, L. E. (2017). Pricing and lot-sizing polices for perishable goods when the demand depends on selling price, displayed stocks, and expiration date. International Journal of Production Economics, 185, 11–20. doi: 10.1016/j.ijpe.2016.12.017
   Web of Science ®Google Scholar
• Feng, Y., & Viswanathan, S. (2011). A new lot-sizing heuristic for manufacturing systems with product recovery. International Journal of Production Economics, 133, 432–438. doi: 10.1016/j.ijpe.2010.04.018
   Web of Science ®Google Scholar
• Ghare, P. M., & Schrader, G. P. (1963). A model for an exponentially decaying inventory system. Journal of Industrial Engineering, 14(5), 238–243.
   Google Scholar
• Ghourchiany, S., & Bafrouei, M. (2019). A multi-product inventory management model in a three-level supply chain with multiple members at each level. Uncertain Supply Chain Management, 7(1), 109–120. doi: 10.5267/j.uscm.2018.4.001
   Google Scholar
• Hemapriya, S., & Uthayakumar, R. (2019). Multi-constraints in an integrated inventory model with learning and screening errors under greenhouse gas emissions. International Journal of Systems Science: Operations & Logistics, doi: 10.1080/23302674.2019.1601291
   Google Scholar
• Hinckley, C. M. (1997). Defining the best quality-control systems by design and inspection. Clinical Chemistry, 43(5), 873–879.
   PubMed Web of Science ®Google Scholar
• Jaggi, C. K., Tiwari, S., & Goel, S. K. (2016). Replenishment policy for non-instantaneous deteriorating items in a two storage facilities under inflationary conditions. International Journal of Industrial Engineering Computations, 7, 489–506. doi: 10.5267/j.ijiec.2015.12.001
   Google Scholar
• Jawla, P., & Singh, S. R. (2016). Multi-item economic production quantity model for imperfect items with multiple production setups and rework under the effect of preservation technology and learning environment. International Journal of Industrial Engineering Computations, 7, 703–716. doi: 10.5267/j.ijiec.2016.2.003
   Google Scholar
• Kang, C. W., Ullah, M., & Sarkar, B. (2018). Optimum ordering policy for an imperfect single-stage manufacturing system with safety stock and planned backorder. The International Journal of Advanced Manufacturing Technology, 95(1–4), 109–120. doi: 10.1007/s00170-017-1065-8
   Web of Science ®Google Scholar
• Khanna, A., Kishore, A., & Jaggi, C. K. (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, 85–118. doi: 10.5267/j.ijiec.2016.7.001
   Web of Science ®Google Scholar
• Kim, M. S., & Sarkar, B. (2017). Multi-stage cleaner production process with quality improvement and lead time dependent ordering cost. Journal of Cleaner Production, 144, 572–590. doi: 10.1016/j.jclepro.2016.11.052
   Web of Science ®Google Scholar
• Krishnamoorthi, C., & Panayappan, S. (2012). An EPQ model with imperfect production systems with rework of Regular production and Sales Return. American Journal of Operations Research, 2(2), 225–234. doi: 10.4236/ajor.2012.22026
   Google Scholar
• Kundu, S., & Chakrabarti, T. (2015). An integrated multi-stage supply chain inventory model with imperfect production process. International Journal of Industrial Engineering Computations, 6, 565–580. doi: 10.5267/j.ijiec.2015.4.002
   Google Scholar
• Li, N., Chan, F. T. S., Chung, S. H., & Tai, A. H. (2015). An EPQ model for deteriorating production system and items with rework. Mathematical Problems in Engineering, Article ID 957970, 1–10.
   Google Scholar
• Lin, F., Jia, T., Wu, F., & Yang, Z. (2019). Impacts of two-stage deterioration on an integrated inventory model under trade credit and variable capacity utilization. European Journal of Operational Research, 272(1), 219–234. doi: 10.1016/j.ejor.2018.06.022
   Web of Science ®Google Scholar
• Mashud, A. H. M., Khan, A. A., Uddin, M., & Islam, M. S., & N, M. (2018). A non-instantaneous inventory model having different deterioration rates with stock and price dependent demand under partially backlogged shortages. Uncertain Supply Chain Management, 6, 49–64. doi: 10.5267/j.uscm.2017.6.003
   Google Scholar
• Mishra, U. (2017). An inventory model for weibull deterioration with stock and price dependent demand. International Journal of Applied and Computational Mathematics, 3(3), 1951–1967. doi: 10.1007/s40819-016-0217-0
   Google Scholar
• 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(4), 1–5.
   Google Scholar
• Nobil, A. H., Afshar Sedigh, A. H., Tiwari, S., & Wee, H. M. (2018). An imperfect multi-item single machine production system with shortage, rework, and scrapped considering inspection, dissimilar deficiency levels, and non-zero setup times. Scientia Iranica. Sharif University of Technology.
   Google Scholar
• 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 Ecinomics, 156, 159–166. doi: 10.1016/j.ijpe.2014.05.007
   Web of Science ®Google Scholar
• 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 fussiness. Economic Modelling, 46, 334–345. doi: 10.1016/j.econmod.2014.12.031
   Web of Science ®Google Scholar
• Palanivel, M., & Uthayakumar, R. (2013). An EPQ model for deteriorating items with variable production cost, time dependent holding cost and partial backlogging under inflation. Opsearch, doi: 10.1007/s12597-013-0168-8
   Web of Science ®Google Scholar
• Pérez, F., & Torres, F. (2019). An integrated production-inventory model for deteriorating items to evaluate JIT purchasing alliances. International Journal of Industrial Engineering Computations, 10(1), 51–66. doi: 10.5267/j.ijiec.2018.5.001
   Web of Science ®Google Scholar
• Pour, A. N., & Ghobadi, S. N. (2018). Optimal selling price, replenishment lot size and number of shipments for two echelon supply chain model with deteriorating items. Decision Science Letters, 7, doi: 10.5267/j.dsl.2017.7.001
   Google Scholar
• Rabbani, M., & Aliabadi, L. (2019). An inventory model with credit, price and marketing dependent demand under permitted delayed payments and shortages: A signomial geometric programming approach. Uncertain Supply Chain Management, 7(1), 33–48. doi: 10.5267/j.uscm.2018.5.004
   Google Scholar
• Roy, M. D., Sana, S. S., & Chaudhuri, K. S. (2011). An economic order quantity model for imperfect quality items with partial backlogging. International Journal of System Science, 42, 1409–1419. doi: 10.1080/00207720903576498
   Web of Science ®Google Scholar
• Sana, S. S., Goyal, S. K., & Chaudhuri, K. S. (2007). An imperfect production process in a volume flexible inventory model. International Journal of Production Economics, 105, 548–559. doi: 10.1016/j.ijpe.2006.05.005
   Web of Science ®Google Scholar
• 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 production system. Journal of Manufacturing Systems, 33, 423–435. doi: 10.1016/j.jmsy.2014.02.001
   Web of Science ®Google Scholar
• Sarkar, B., Chaudhuri, K. S., & Sana, S. S. (2010). A stock-dependent inventory model in an imperfect production process. International Journal of Procurement Management, 3, 361–378. doi: 10.1504/IJPM.2010.035467
   Google Scholar
• Sarker, B. R., Jamal, A. M. M., & Mondal, S. (2008). Optimal batch sizing in a multi-stage production system with rework consideration. European Journal of Operational Research, 184, 915–929. doi: 10.1016/j.ejor.2006.12.005
   Web of Science ®Google Scholar
• Sekar, T., & Uthayakumar, R. (2018). A production inventory model for single vendor single buyer integrated demand with multiple production setups and rework. Uncertain Supply Chain Management, 6(1), 75–90. doi: 10.5267/j.uscm.2017.6.001
   Google Scholar
• Shah, N. H., & Shah, B. J. (2014). EPQ model for time-declining demand with imperfect production process under inflation conditions and reliability. International Journal of Operations Research, 11(3), 091–099.
   Google Scholar
• Singh, S. R., Jain, S., & Parrek, S. (2014). An economic production model for time dependent demand with rework and multiple production setups. International Journal of Industrial Engineering Computations, 53, 305–314. doi: 10.5267/j.ijiec.2013.10.003
   Google Scholar
• Singh, S. R., Khurana, D., & Tayal, S. (2016). An economic order quantity model for deteriorating products having stock dependent demand with trade credit period and preservation technology. Uncertain Supply Chain Management, 4, 29–42. doi: 10.5267/j.uscm.2015.8.001
   Google Scholar
• Sundararajan, R., Palanivel, M., & Uthayakumar, R. (2019). An inventory system of non-instantaneous deteriorating items with backlogging and time discounting. International Journal of Systems Science: Operations & Logistics. doi: 10.1080/23302674.2019.1567861
   Google Scholar
• Tadikamalla, P. R. (1978). An EOQ inventory model for items with Gamma distribution. AIIE Transaction, 5, 100–103. doi: 10.1080/05695557808975189
   Google Scholar
• Tai, A. H. (2013). Economic production quantity models for deteriorating/imperfect products and service with rework. Computers and Industrial Engineering, 66(4), 879–888. doi: 10.1016/j.cie.2013.09.007
   Web of Science ®Google Scholar
• Taleizadeh, A. A., Cárdenas-Barrón, L. E., & Mohammadi, B. (2014). A deterministic multi product single machine EPQ model with backordering, scraped products, rework and interruption in manufacturing process. International Journal of Production Economics, 150, 9–27. doi: 10.1016/j.ijpe.2013.11.023
   Web of Science ®Google Scholar
• Taleizadeh, A. A., Jalali-Naini, S. G., Wee, H. M., & Kuo, T. C. (2013a). An imperfect multi-product production system with rework. Scientia Iranica, 20(3), 811–823.
   Web of Science ®Google Scholar
• Taleizadeh, A. A., Kalantari, S. S., & Cárdenas-Barrón, L. E. (2015). Determining optimal price, replenishment lot size and number of shipment for an EPQ model with rework and multiple shipments. Journal of Industrial and Management Optimization, 11(4), 1059–1071. doi: 10.3934/jimo.2015.11.1059
   Web of Science ®Google Scholar
• Taleizadeh, A. A., Samimi, H., Sarkar, B., & Mohammadi, B. (2017). Stochastic machine breakdown and discrete delivery in an imperfect production system. Journal of Industrial and Management Optimization, Online available, doi: 10.3934/jimo.2017005
   Web of Science ®Google Scholar
• Taleizadeh, A. A., Wee, H. M., & Jalali-Naini, S. G. (2013b). Economic production quantity model with repair failure and limited capacity. Applied Mathematical Modeling, 37(5), 2765–2774. doi: 10.1016/j.apm.2012.06.006
   Web of Science ®Google Scholar
• Tayyab, M., & Sarkar, B. (2016). Optimal batch quantity in a cleaner multi-stage lean production system with random defective rate. Journal of Cleaner Production, 139, 922–934. doi: 10.1016/j.jclepro.2016.08.062
   Web of Science ®Google Scholar
• Teng, J. T., Cárdenas-Barrón, L. E., Chang, H. J., Wu, J., & Hu, Y. (2016). Inventory lot-size policies for deteriorating items with expiration dates and advance payments. Applied Mathematical Modelling, 40(19–20), 8605–8616. doi: 10.1016/j.apm.2016.05.022
   Web of Science ®Google Scholar
• Teng, J. T., & Chang, C. T. (2005). Economic production quantity models for deteriorating items with price and stock dependent demand. Computers & Operations Research, 32(2), 297–308. doi: 10.1016/S0305-0548(03)00237-5
   Web of Science ®Google Scholar
• Tiwari, S., Cárdenas-Barrón, L. E., Goh, M., & Shaikh, A. A. (2018b). Joint pricing and inventory model for deteriorating items with expiration dates and partial backlogging under two-level partial trade credits in supply chain. International Journal of Production Economics, 200, 16–36. doi: 10.1016/j.ijpe.2018.03.006
   Web of Science ®Google Scholar
• Tiwari, S., Jaggi, C. K., Gupta, M., & Cárdenas-Barrón, L. E. (2018a). Optimal pricing and lot-sizing policy for supply chain system with deteriorating items under limited storage capacity. International Journal of Production Economics, 200, 278–290. doi: 10.1016/j.ijpe.2018.03.019
   Web of Science ®Google Scholar
• Tsao, Y. C., Lee, P. L., Liao, L. W., Zhang, Q., Vu, T. L., & Tsai, J. (2019). Imperfect economic production quantity models under predictive maintenance and reworking. International Journal of Systems Science: Operations & Logistics, 1–14.
   Google Scholar
• Uthayakumar, R., & Kumar, M. G. (2018). Constrained integrated inventory model for multi-item under mixture of distributions. RAIRO-Operations Research, 52(3), 849–893. doi: 10.1051/ro/2018002
   Web of Science ®Google Scholar
• Wee, H. M., Yu, J. C. P., & Wang, K. J. (2006). An integrated production-inventory model for deteriorating items with perfect quality and shortage backordering considerations. Lecturer Notes in Computer Science, 3982. 885–897. doi: 10.1007/11751595_93
   Google Scholar
• 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, 62–67. doi: 10.1016/j.ijpe.2012.02.025
   Web of Science ®Google Scholar
• 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, 345–352. doi: 10.1016/j.ijpe.2011.08.010
   Web of Science ®Google Scholar