Contact Us

+61 3 9388 8780


+61 3 9388 8780 (Virtual Fax)


18–20 Edward Street
Brunswick 3056
Victoria Australia

Comparing Two Inspection Policies for an EOQ Model with ImperfectQuality Items under Inspection Errors

Received: 20 January 2022
Revised: 21 February 2022
Accepted: 10 March 2022

Saman Tahmasebpoor, Javad Asadkhani, Hadi Mokhtari

 Download Full Text

  XML Files


This article investigates the effect of two inspection policies on an EOQ model with imperfect quality items, where defective and non-defective items have different holding costs. In this regard, the inventory system should decide to adopt a full inspection or no inspection policy. When no inspection policy is conducted, the presence of defective items is ignored. As a result, the additional reputation damage cost incurs to the system. On the contrary, if a full inspection process is instituted to ensure the delivery of serviceable items to customers, the cost associated with the inspection process grows. Besides, we assume an erroneous inspection process to consider more practical situations. In other words, the inspector may commit type I and II errors. For both policies, we obtain the order size, which maximizes the total profit per unit time by analytical method. Finally, a numerical example is presented to discuss the advances of inspection policies to each other. We examine the desirable range of the fraction of imperfect quality items for each policy, then analyze which cost components make it.


Keywords: Inventory System, Economic Order Quantity, Different Holding Costs, Full Inspection, No Inspection, 100


 Download Full Text




[1]. Chiu, S. W. (2008). An optimization problem of manufacturing systems with stochastic machine breakdown and rework process. Applied Stochastic Models in Business and Industry, 24(3): 203 - 219.

[2]. De, M., Das, B.,   Maiti, M. (2018). An economic production lot size model for randomly imperfect production system with stock-dependent demand and rework. International Journal of Operational Research, 33(3): 315 - 350.

[3]. Hayek, P. A.,   Salameh, M. K. (2001). Production lot sizing with the reworking of imperfect quality items produced. Production planning   control, 12(6): 584 - 590.

[4]. Hsu, J.,   Hsu, L. (2012). A note on. International Journal of Industrial Engineering Computations, 3(5): 939 - 948.

[5]. Hsu, J.,   Hsu, L. (2014). A supplement to an EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales return. International Journal of Industrial Engineering Computations, 5(2): 199 -210.

[6]. Kazemi, N., Ehsani, E.,   Jaber, M. Y. (2010). An inventory model with backorders with fuzzy parameters and decision variables. International Journal of Approximate Reasoning, 51(8): 964 - 972.

[7]. Khan, M., Jaber, M. Y.,   Bonney, M. (2011). An economic order quantity (EOQ) for items with imperfect quality and inspection errors. International Journal of Production Economics, 133(1): 113 - 118.

[8]. Khanna, A., Kishore, A.,   Jaggi, C. K. (2017). Inventory Modeling for Imperfect Production Process with Inspection Errors, Sales Return, and Imperfect Rework Process. International Journal of Mathematical, Engineering and Management Sciences, 2(42): 242 - 258.

[9]. Mokhtari, H.,   Asadkhani, J. (2019). Economic Order Quantity for Imperfect Quality Items Under Inspection Errors, Batch Replacement and Multiple Sales of Returned Items. Scientia Iranica. doi: 10.24200/SCI.2019.52075.2520.

[10]. Rout, C., Kumar, R. S., Chakraborty, D.,   Goswami, A. (2019). An EPQ model for deteriorating items with imperfect production, inspection errors, rework and shortages: a type-2 fuzzy approach. OPSEARCH, 56(3): 657 - 688.

[11]. Salameh, M. K.,   Jaber, M. Y. (2000). Economic production quantity model for items with imperfect quality. International journal of production economics, 64(1-3): 59 - 64.

[12]. Tsai, D. M. (2012). Optimal ordering and production policy for a recoverable item inventory system with learning effect. International Journal of Systems Science, 43(2): 349 - 367.

13. Ali Pourramezan Fard, H. A., Mohammad Mahoor. (2021). ASMNet: A Lightweight Deep Neural Network for Face Alignment and Pose Estimation. Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops, 1521-1530.

14. Ali Pourramezan Fard, M. H. M. (2022). ACR Loss: Adaptive Coordinate-based Regression Loss for Face Alignment. International Conference on Pattern Recognition (ICPR).

15. Alizadeh, A., Saghafi, M. R., Rezaei, J., Fereidunian, A.,   Lesani, H. (2019). Performance-based regulation framework for demand-side management. Paper presented at the 2019 24th Electrical Power Distribution Conference (EPDC). (link)

16. Alizadeh, S. M., Ghazanfari, A., Ehyaei, M. A., Ahmadi, A., Jamali, D. H., Nedaei, N.,   Davarpanah, A. (2020). Investigation the Integration of Heliostat Solar Receiver to Gas and Combined Cycles by Energy, Exergy, and Economic Point of Views. Applied Sciences, 10(15), 5307. Retrieved from (link)

17. Arabali, A., Khajehzadeh, M., Keawsawasvong, S., Mohammed, A. H.,   Khan, B. (2022). An Adaptive Tunicate Swarm Algorithm for Optimization of Shallow Foundation. IEEE Access, 10, 39204-39219.doi:10.1109/ACCESS.2022.3164734. (link)

18. Asgari, G. R., Arabali, A., Babaei, M.,   Asemi, K. (2022). Dynamic Instability of Sandwich Beams Made of Isotropic Core and Functionally Graded Graphene Platelets-Reinforced Composite Face Sheets. International Journal of Structural Stability and Dynamics, 2250092. doi:10.1142/S0219455422500924 (link)

19. Bolgorian, M.,   Mayeli, A. (2019). Banks characteristics, state ownership and vulnerability to sanctions: Evidences from Iran. Borsa Istanbul Review, 19(3), 264-272.

20. Bolgorian, M.,   Mayeli, A. (2020). Accounting conservatism and money laundering risk. Accounting Research Journal.

21. F AYATOLLAH ZADEH SHIRAZI, F. E., ARSHIA GHARAGOZLOU. (2017). COUNTEREXAMPLES IN CHAOTIC GENERALIZED SHIFTS. Journal of Mahani Mathematical Research Center, 5(2), 85-97. (link)

22. Ghassemi, M., Barzkar, A.,   Saghafi, M. (2022). All-electric NASA N3-X aircraft electric power systems. IEEE Transactions on Transportation Electrification. (link)

23. Ghassemi, M.,   Saghafi, M. (2022). Optimal electric power system architectures for wide body all electric aircraft. Paper presented at the IEEE Aerosp. Conf., accepted. (link)

24. Ghazanfari, A. (2021). Regional Patterns for the Retail Petrol Prices. International Journal of Energy Economics and Policy, 11(4), 383-397. Retrieved from view/10132 (link)

25. Hamidreza Jalili, S. K. (2022). Recent Advances in Water Resource Engineering: Rose Publication Melbourne.

26. Jalili;, A. H. D. H. (2014). Study of vortex flow extending around the reservoir sluice gate in order to increase in flushing efficiency. Iranian Water Research Journal, 08(15), 51-62.

27. Fakhre Yaseri A, Fallahi A, editors. Health Literacy and Brest Cancer. 8th International Conference on Health, Treatment and Health Promotion - Tbilisi, Georgia; 2022. (link)

28. Fakhre Yaseri A, Fallahi A, editors. Health Literacy and Colorectal Cancer Screening. 9th International Conference on Health, Treatment and Health Promotion - Budapest, Hungary; 2022. (link)

29. Fakhre Yaseri A, editor Candidate herbal medicines with antiviral activity against covid 19. 5th International Conference on Agricultural Sciences, Medicinal Plants and Traditional Medicine; 2022. (link)

30. Karimi Shahri, P., Chintamani Shindgikar, S., HomChaudhuri, B.,   Ghasemi, A. H. (2019). Optimal Lane Management in Heterogeneous Traffic Network. Paper presented at the Dynamic Systems and Control Conference.

31. Mostofizadeh, S.,   Tee, K. F. (2019). Evaluation of impact of fly ash on the improvement on type II concrete strength. Evaluation, 9, 10th. (link)

32. Mostofizadeh, S.,   Tee, K. F. (2021). Static and Seismic Responses of Eco-Friendly Buried Concrete Pipes with Various Dosages of Fly Ash. Applied Sciences, 11(24), 11700. (link)

33. Samadi, A., Yazdian, F., Navaei-Nigjeh, M.,   Rashedi, H. (2021). Nanocomposite Hydrogels: A Promising Approach for Developing Stimuli-responsive Platforms and their Application in Targeted Drug Delivery. Journal of Shahid Sadoughi University of Medical Sciences, 29. doi:10.18502/ssu.v29i7.7263

34. Shahri, P. K., Ghasemi, A. H.,   Izadi, V. (2020). Optimal Lane Management in Heterogeneous Traffic Network Using Extremum Seeking Approach (0148-7191).



Related Content

To submit your paper, please register first by clicking on the registration button. You will then be able to upload your paper within the control panel(cpanel)

Publication Information

Rosepub - Journal management system