How to cite this paper
APA: Chiu, Y., Chiu, V., Chiu, T., Yeh, T & Chiu, S. (2025). Determining a manufacturing-delivery policy for a multi-item EPQ system with multi-shipment, quality assurance, overtime, postponement, and external source. International Journal of Industrial Engineering Computations, 16(1), 51-68.
Chicago/Turabian: Chiu, Y., Chiu, V., Chiu, T., Yeh, T & Chiu, S. 2025. "Determining a manufacturing-delivery policy for a multi-item EPQ system with multi-shipment, quality assurance, overtime, postponement, and external source." International Journal of Industrial Engineering Computations 16, no. 1 (2025): 51-68.
AMA: Chiu, Y., Chiu, V., Chiu, T., Yeh, T & Chiu, S. Determining a manufacturing-delivery policy for a multi-item EPQ system with multi-shipment, quality assurance, overtime, postponement, and external source. International Journal of Industrial Engineering Computations. 2025;16(1):51-68.
References
Allaham, H., & Dalalah, D. (2022). Optimization of maintenance tasks of spatially distributed assets with non-preemptive overtime. International Journal of Management Science and Engineering Management, 17(4), 279-294.
Ameknassi, L., Aït-Kadi, D., & Rezg, N. (2016). Integration of logistics outsourcing decisions in a green supply chain design: A stochastic multi-objective multi-period multi-product programming model. International Journal of Production Economics, 182, 165-184.
Anger, S. (2008). Overtime work as a signaling device. Scottish Journal of Political Economy, 55(2), 167-189.
Al-Hakimi, M.A., Borade, D.B., Saleh, M.H., & Nasr, M.A.A. (2022). The moderating role of supplier relationship on the effect of postponement on supply chain resilience under different levels of environmental uncertainty. Production and Manufacturing Research, 10(1), 383-409.
Babenko, M., Tchernykh, A., Pulido-Gaytan, B., Avetisyan, A., Nesmachnow, S., Wang, X., & Granelli, F. (2022). Towards the sign function best approximation for secure outsourced computations and control. Mathematics, 10(12), Art. No. 2006.
Banerjee, D., Erera, A.L., & Toriello, A. (2022). Fleet sizing and service region partitioning for same-day delivery systems. Transportation Science, 56(5), 1327-1347.
Biswas, P., & Sarker, B.R. (2008). Optimal batch quantity models for a lean production system with in-cycle rework and scrap. International Journal of Production Research, 46(23), 6585-6610.
Carvalho, H., Naghshineh, B., Govindan, K., & Cruz-Machado, V. (2022). The resilience of on-time delivery to capacity and material shortages: An empirical investigation in the automotive supply chain. Computers and Industrial Engineering, 171, Art. No. 108375.
Chiu, Y-S.P., Jhan, J-H., Chiu, V., & Chou, C-L. (2020) Incorporating outsourcing, stochastic failure, and scrap into batch fabrication planning. Alexandria Engineering Journal, 59(6), 5273-5284
Chiu, S.W., Chiu, V., Hwang, M-H., & Chiu, Y-S.P. (2021). A delayed differentiation multiproduct model with the outsourcing of common parts, overtime strategy for end products, and quality reassurance. International Journal of Industrial Engineering Computations, 12(2), 143-158.
Chiu, Y.-S.P., Ke, C.-Y., Chiu, T., & Yeh, T.-M. (2022). Optimizing an FPR-based supplier- retailer integrated problem with an outsourcer, rework, expedited rate, and probabilistic breakdown. International Journal of Industrial Engineering Computations, 13(4), 601-616.
Chiu, Y-S.P., Chiu, S.W., Pai, F-Y., & Chiu, V. (2023). Minimizing operating expenditures for a manufacturing system featuring quality reassurances, probabilistic failures, overtime, and outsourcing. International Journal of Industrial Engineering Computations, 14(1), 83-98.
Chiu, Y-S.P., Lian, J-H., Pai, F-Y., Chiu, T., & Chiu, S.W. (2024). An operating cost minimization model for buyer-vendor coordination batch system with breakdowns, scrap, overtime, and an external source. International Journal of Industrial Engineering Computations, 15(1), 277-292.
Ciliberto, F., & Panzar, J.C. (2011). Outsourcing and vertical integration in a competitive industry. Southern Economic Journal, 77(4), 885-900
de Carvalho, V.D.H., Poleto, T., Nepomuceno, T.C.C., & Costa, A.P.P.C.S. (2022). A study on relational factors in information technology outsourcing: analyzing judgments of small and medium-sized supplying and contracting companies' managers. Journal of Business and Industrial Marketing, 37(4), 893-917.
Fadile, L., El Oumami, M., & Beidouri, Z. (2022). Logistics outsourcing by Moroccan manufacturing firms: a qualitative study. International Journal of Logistics Systems and Management, 41(3), 265-294.
Farliantog, S.E. (2016) Gendered overtime night shift workers: The mediation effect of perception of equity on the effect of personal fit, work-family conflict on the job performance and job satisfaction. International Business Management, 10(10), 1965-1972.
Farghadani-Chaharsooghi P., & Karimi B. (2023). A robust optimization approach for the production-routing problem with lateral transshipment and outsourcing. RAIRO - Operations Research, 57(4), 1957-1981.
Galizia, F.G., ElMaraghy, H.A., Bortolini, M., & Mora, C. (2020). Product platforms design, selection and customisation in high-variety manufacturing. International Journal of Production Research, 58, 893-911.
Gaur, J., Amini, M., & Rao, A.K. (2020). The impact of supply chain disruption on the closed-loop supply chain configuration profit: a study of sourcing policies. International Journal of Production Research, 58(17), 5380-5400.
Gautam, P., Maheshwari, S., Hasan, A., Kausar, A., & Jaggi, C.K. (2022). Optimal inventory strategies for an imperfect production system with advertisement and price reliant demand under rework option for defectives. RAIRO - Operations Research, 56(1), 183-197.
Giri, B.C., Bardhan, S., & Maiti, T. (2016). Coordinating a three-layer supply chain with uncertain demand and random yield. International Journal of Production Research, 54(8), 2499-2518.
Giri, B.C., & Maiti, T. (2012). Supply chain model for a deteriorating product with time-varying demand and production rate. Journal of the Operational Research Society, 63(5), 665-673.
Hossain, M.S., Shozib, I.A., Das, B.K., Hossain, M.S., Das, A., Islam, M.R., & Kulsum, M. (2023). Characterization, performance assessment, techno-economic potential, and process optimization of scrap tire pyrolysis in Bangladesh. Journal of Cleaner Production, 421, Art. No. 138522.
Kazancoglu, Y., Lafci, C., Berberoglu, Y., Upadhyay, A., Rocha-Lona, L., & Kumar, V. (2024). The effects of globalization on supply chain resilience: outsourcing techniques as interventionism, protectionism, and regionalization strategies Operations Management Research, 17(2), 505–522.
Kiani, M., Eksioglu, B., Isik, T., Thomas, A., & Gilpin, J. (2022). Evaluating appointment postponement in scheduling patients at a diagnostic clinic. Naval Research Logistics, 69(1), 76-91.
Kim, D., Park, Y.S., Kim, H.W., Park, K.S., & Moon, I.K. (2022). Inventory policy for postponement strategy in the semiconductor industry with a die bank. Simulation Modelling Practice and Theory, 117, Art. No. 102498.
Larbi Rebaiaia, M., & Ait-kadi, D. (2021). Maintenance policies with minimal repair and replacement on failures: analysis and comparison. International Journal of Production Research, 59(23), 6995-7017.
Malladi, S.S., Erera, A.L., & White, C.C., III (2021). Managing mobile production-inventory systems influenced by a modulation process. Annals of Operations Research, 304(1-2), 299-330.
Manthirikul, S., Jain, U., & Marisamynathan, S. (2023). Pedestrian Waiting Delay at Signalized Midblock Crosswalks under Mixed Traffic Conditions. Journal of Transportation Engineering Part A: Systems, 149(11), Art. No. 04023107.
Martins, L.D.C., Gonzalez-Neira, E.M., Hatami, S., Juan, A.A., & Montoya-Torres, J.R. (2021). Combining production and distribution in supply chains: The hybrid flow-shop vehicle routing problem. Computers and Industrial Engineering, 159, Art. No. 107486.
Mendonça, M.C., & Dias, J.C.Q. (2007). 'Postponement' in the logistical systems of new automobiles marketed in Portugal: The brands and quality. Total Quality Management and Business Excellence, 18(6), 681-696.
Pero, M., Stößlein, M., & Cigolini, R. (2015). Linking product modularity to supply chain integration in the construction and shipbuilding industries. International Journal of Production Economics, 170, 602-615.
Persson, J.A., & Göthe-Lundgren, M. (2005). Shipment planning at oil refineries using column generation and valid inequalities. European Journal of Operational Research, 163(3), 631-652.
Porto, A.F., Henao, C.A., Lusa, A., Polo Mejía, O., & Porto Solano, R. (2022). Solving a staffing problem with annualized hours, multiskilling with 2-chaining, and overtime: A retail industry case. Computers and Industrial Engineering, 167, Art. No. 107999.
Pourakbar, M., & Dekker, R. (2012). Customer differentiated end-of-life inventory problem. European Journal of Operational Research, 222, 44-53.
Pushpalatha, K., Sherubha, P., Sasirekha, S.P., & Kumar Anguraj, D. (2024). A constructive delay-aware model for opportunistic routing protocol in MANET. Expert Systems with Applications, 255, Art. No. 124527.
Ramón-Lumbierres, D., Heredia Cervera, F.J., Minguella-Canela, J., & Muguruza-Blanco, A. (2021). Optimal postponement in supply chain network design under uncertainty: an application for additive manufacturing. International Journal of Production Research, 59(17), 5198-5215.
Taheri, J., & Mirzazadeh, A. (2022). Optimization of inventory system with defects, rework failure and two types of errors under crisp and fuzzy approach. Journal of Industrial and Management Optimization, 18(4), 2289-2318.
Taleizadeh, A.A., Samimi, H., Sarkar, B., & Mohammadi, B. (2017). Stochastic machine breakdown and discrete delivery in an imperfect inventory-production system. Journal of Industrial and Management Optimization, 13(3), 1511-1535.
Yang, N., & Zhang, R. (2022). Comparative statics analysis of an inventory management model with dynamic pricing, market environment fluctuation, and delayed differentiation. Production and Operations Management, 31(1), 341-357.
Yassine, N. (2020). A sustainable economic production model: effects of quality and emissions tax from transportation. Annals of Operations Research, 290(1-2), 73-94.
Zambrano-Rey, G.M., González-Neira, E.M., Forero-Ortiz, G.F., Ocampo-Monsalve, M.J., & Rivera-Torres, A. (2024). Minimizing the expected maximum lateness for a job shop subject to stochastic machine breakdowns. Annals of Operations Research, 338(1), 801-833.
Ameknassi, L., Aït-Kadi, D., & Rezg, N. (2016). Integration of logistics outsourcing decisions in a green supply chain design: A stochastic multi-objective multi-period multi-product programming model. International Journal of Production Economics, 182, 165-184.
Anger, S. (2008). Overtime work as a signaling device. Scottish Journal of Political Economy, 55(2), 167-189.
Al-Hakimi, M.A., Borade, D.B., Saleh, M.H., & Nasr, M.A.A. (2022). The moderating role of supplier relationship on the effect of postponement on supply chain resilience under different levels of environmental uncertainty. Production and Manufacturing Research, 10(1), 383-409.
Babenko, M., Tchernykh, A., Pulido-Gaytan, B., Avetisyan, A., Nesmachnow, S., Wang, X., & Granelli, F. (2022). Towards the sign function best approximation for secure outsourced computations and control. Mathematics, 10(12), Art. No. 2006.
Banerjee, D., Erera, A.L., & Toriello, A. (2022). Fleet sizing and service region partitioning for same-day delivery systems. Transportation Science, 56(5), 1327-1347.
Biswas, P., & Sarker, B.R. (2008). Optimal batch quantity models for a lean production system with in-cycle rework and scrap. International Journal of Production Research, 46(23), 6585-6610.
Carvalho, H., Naghshineh, B., Govindan, K., & Cruz-Machado, V. (2022). The resilience of on-time delivery to capacity and material shortages: An empirical investigation in the automotive supply chain. Computers and Industrial Engineering, 171, Art. No. 108375.
Chiu, Y-S.P., Jhan, J-H., Chiu, V., & Chou, C-L. (2020) Incorporating outsourcing, stochastic failure, and scrap into batch fabrication planning. Alexandria Engineering Journal, 59(6), 5273-5284
Chiu, S.W., Chiu, V., Hwang, M-H., & Chiu, Y-S.P. (2021). A delayed differentiation multiproduct model with the outsourcing of common parts, overtime strategy for end products, and quality reassurance. International Journal of Industrial Engineering Computations, 12(2), 143-158.
Chiu, Y.-S.P., Ke, C.-Y., Chiu, T., & Yeh, T.-M. (2022). Optimizing an FPR-based supplier- retailer integrated problem with an outsourcer, rework, expedited rate, and probabilistic breakdown. International Journal of Industrial Engineering Computations, 13(4), 601-616.
Chiu, Y-S.P., Chiu, S.W., Pai, F-Y., & Chiu, V. (2023). Minimizing operating expenditures for a manufacturing system featuring quality reassurances, probabilistic failures, overtime, and outsourcing. International Journal of Industrial Engineering Computations, 14(1), 83-98.
Chiu, Y-S.P., Lian, J-H., Pai, F-Y., Chiu, T., & Chiu, S.W. (2024). An operating cost minimization model for buyer-vendor coordination batch system with breakdowns, scrap, overtime, and an external source. International Journal of Industrial Engineering Computations, 15(1), 277-292.
Ciliberto, F., & Panzar, J.C. (2011). Outsourcing and vertical integration in a competitive industry. Southern Economic Journal, 77(4), 885-900
de Carvalho, V.D.H., Poleto, T., Nepomuceno, T.C.C., & Costa, A.P.P.C.S. (2022). A study on relational factors in information technology outsourcing: analyzing judgments of small and medium-sized supplying and contracting companies' managers. Journal of Business and Industrial Marketing, 37(4), 893-917.
Fadile, L., El Oumami, M., & Beidouri, Z. (2022). Logistics outsourcing by Moroccan manufacturing firms: a qualitative study. International Journal of Logistics Systems and Management, 41(3), 265-294.
Farliantog, S.E. (2016) Gendered overtime night shift workers: The mediation effect of perception of equity on the effect of personal fit, work-family conflict on the job performance and job satisfaction. International Business Management, 10(10), 1965-1972.
Farghadani-Chaharsooghi P., & Karimi B. (2023). A robust optimization approach for the production-routing problem with lateral transshipment and outsourcing. RAIRO - Operations Research, 57(4), 1957-1981.
Galizia, F.G., ElMaraghy, H.A., Bortolini, M., & Mora, C. (2020). Product platforms design, selection and customisation in high-variety manufacturing. International Journal of Production Research, 58, 893-911.
Gaur, J., Amini, M., & Rao, A.K. (2020). The impact of supply chain disruption on the closed-loop supply chain configuration profit: a study of sourcing policies. International Journal of Production Research, 58(17), 5380-5400.
Gautam, P., Maheshwari, S., Hasan, A., Kausar, A., & Jaggi, C.K. (2022). Optimal inventory strategies for an imperfect production system with advertisement and price reliant demand under rework option for defectives. RAIRO - Operations Research, 56(1), 183-197.
Giri, B.C., Bardhan, S., & Maiti, T. (2016). Coordinating a three-layer supply chain with uncertain demand and random yield. International Journal of Production Research, 54(8), 2499-2518.
Giri, B.C., & Maiti, T. (2012). Supply chain model for a deteriorating product with time-varying demand and production rate. Journal of the Operational Research Society, 63(5), 665-673.
Hossain, M.S., Shozib, I.A., Das, B.K., Hossain, M.S., Das, A., Islam, M.R., & Kulsum, M. (2023). Characterization, performance assessment, techno-economic potential, and process optimization of scrap tire pyrolysis in Bangladesh. Journal of Cleaner Production, 421, Art. No. 138522.
Kazancoglu, Y., Lafci, C., Berberoglu, Y., Upadhyay, A., Rocha-Lona, L., & Kumar, V. (2024). The effects of globalization on supply chain resilience: outsourcing techniques as interventionism, protectionism, and regionalization strategies Operations Management Research, 17(2), 505–522.
Kiani, M., Eksioglu, B., Isik, T., Thomas, A., & Gilpin, J. (2022). Evaluating appointment postponement in scheduling patients at a diagnostic clinic. Naval Research Logistics, 69(1), 76-91.
Kim, D., Park, Y.S., Kim, H.W., Park, K.S., & Moon, I.K. (2022). Inventory policy for postponement strategy in the semiconductor industry with a die bank. Simulation Modelling Practice and Theory, 117, Art. No. 102498.
Larbi Rebaiaia, M., & Ait-kadi, D. (2021). Maintenance policies with minimal repair and replacement on failures: analysis and comparison. International Journal of Production Research, 59(23), 6995-7017.
Malladi, S.S., Erera, A.L., & White, C.C., III (2021). Managing mobile production-inventory systems influenced by a modulation process. Annals of Operations Research, 304(1-2), 299-330.
Manthirikul, S., Jain, U., & Marisamynathan, S. (2023). Pedestrian Waiting Delay at Signalized Midblock Crosswalks under Mixed Traffic Conditions. Journal of Transportation Engineering Part A: Systems, 149(11), Art. No. 04023107.
Martins, L.D.C., Gonzalez-Neira, E.M., Hatami, S., Juan, A.A., & Montoya-Torres, J.R. (2021). Combining production and distribution in supply chains: The hybrid flow-shop vehicle routing problem. Computers and Industrial Engineering, 159, Art. No. 107486.
Mendonça, M.C., & Dias, J.C.Q. (2007). 'Postponement' in the logistical systems of new automobiles marketed in Portugal: The brands and quality. Total Quality Management and Business Excellence, 18(6), 681-696.
Pero, M., Stößlein, M., & Cigolini, R. (2015). Linking product modularity to supply chain integration in the construction and shipbuilding industries. International Journal of Production Economics, 170, 602-615.
Persson, J.A., & Göthe-Lundgren, M. (2005). Shipment planning at oil refineries using column generation and valid inequalities. European Journal of Operational Research, 163(3), 631-652.
Porto, A.F., Henao, C.A., Lusa, A., Polo Mejía, O., & Porto Solano, R. (2022). Solving a staffing problem with annualized hours, multiskilling with 2-chaining, and overtime: A retail industry case. Computers and Industrial Engineering, 167, Art. No. 107999.
Pourakbar, M., & Dekker, R. (2012). Customer differentiated end-of-life inventory problem. European Journal of Operational Research, 222, 44-53.
Pushpalatha, K., Sherubha, P., Sasirekha, S.P., & Kumar Anguraj, D. (2024). A constructive delay-aware model for opportunistic routing protocol in MANET. Expert Systems with Applications, 255, Art. No. 124527.
Ramón-Lumbierres, D., Heredia Cervera, F.J., Minguella-Canela, J., & Muguruza-Blanco, A. (2021). Optimal postponement in supply chain network design under uncertainty: an application for additive manufacturing. International Journal of Production Research, 59(17), 5198-5215.
Taheri, J., & Mirzazadeh, A. (2022). Optimization of inventory system with defects, rework failure and two types of errors under crisp and fuzzy approach. Journal of Industrial and Management Optimization, 18(4), 2289-2318.
Taleizadeh, A.A., Samimi, H., Sarkar, B., & Mohammadi, B. (2017). Stochastic machine breakdown and discrete delivery in an imperfect inventory-production system. Journal of Industrial and Management Optimization, 13(3), 1511-1535.
Yang, N., & Zhang, R. (2022). Comparative statics analysis of an inventory management model with dynamic pricing, market environment fluctuation, and delayed differentiation. Production and Operations Management, 31(1), 341-357.
Yassine, N. (2020). A sustainable economic production model: effects of quality and emissions tax from transportation. Annals of Operations Research, 290(1-2), 73-94.
Zambrano-Rey, G.M., González-Neira, E.M., Forero-Ortiz, G.F., Ocampo-Monsalve, M.J., & Rivera-Torres, A. (2024). Minimizing the expected maximum lateness for a job shop subject to stochastic machine breakdowns. Annals of Operations Research, 338(1), 801-833.