APPLICATION OF MULTI-ITEMS EPQ MODELS IN COURSE MATERIALS MANAGEMENT: TOWARDS BUILDING A DECISION SUPPORT SYSTEM FOR THE NATIONAL OPEN UNIVERSITY OF NIGERIA
Abstract
The classic multi-item Economic Production Quantity (EPQ) model was applied in this research to solve the Course Materials production problem of National Open University of Nigeria (NOUN). The EPQ model is one of the essential components of the proposed Decision Support System (DSS) for production and inventory management of course materials in NOUN. Python programming was used to develop the DSS to give a flexible interface that is easy to use by all users. The EPQ module of the DSS generated essential outputs which answers basic questions such as when to produce, how much of each item to produce per production run, the cost of producing each item and the interval between the productions run. Testing of the EPQ module was carried out using test data. When implemented, the proposed solution will enhance decision making in the area of Course Material production at NOUN printing press and reduce the difficulties encountered by staff when using manual processes to resolve complex models on regular basis
References
Adoga, P.I, Muazu, H.G & Barma, M. (2022). Design of a Demand Forecast Module of a
Decision Support System for Course Materials Production and Inventory Management in
the National Open University of Nigeria [Manuscript submitted for publication].
Department of Statistics and Operations Research, Modibbo Adama University, Yola.
Bai, Q., Zhang, Y. & Dong, G. (2010). A Note on an Economic Lot-sizing Problem with
Perishable Inventory and Economies of Scale Costs: Approximation Solutions and Worst
Case Analysis. International Journal of Automation and Computing, 7(1), pp132-136.
DOI: 10.1007/s11633-010-0132-5.
Ben-Dayal, M. & Hariga, M. (2000). Economic lot scheduling problem with imperfect
production processes. Journal of the Operational Research Society, Si, pp875-881.
Bukhari, F. (2011). Adaptive Control of a Production-Inventory Model with Uncertain
Deterioration Rate. Applied Mathematics, vol.2, pp1170-1174.
doi:10.4236/am.2011.29162.
Carvalho, D.M. & Nascimento, M. C.V. (2016). Lagrangian heuristics for the capacitated multi-
plant lot sizing problem with multiple periods and items. Computers & Operations
Research vol.71 pp137–148.
Chang, L., Su, S. & Lin, S. (2013). The Optimal Inventory Policy of Production Management.
Engineering, vol. 5, pp.556-560 http://dx.doi.org/10.4236/eng.2013.55A002.
Cheng, T. C. E. (1991). EPQ with Process Capability and Quality Assurance Considerations.
Journal of the Operational Research Society, Vol. 42, No. 8.
Cunha, J.O., Konstantaras, I., Melo, R.A. & Sifaleras, A. (2017). On multi-item economic lot-
sizing with remanufacturing and uncapacitated production. Applied Mathematical
Modelling vol. 50 , pp772–780.
Gutierrez, J.M., Abdul-Jalbar, B., Sicilia, J. & Rodriguez-Martín, I. (2021). Effective Algorithms
for the Economic Lot-Sizing Problem with Bounded Inventory and Linear Fixed-Charge
Cost Structure. Mathematics, vol.9, pg.689. https://doi.org/10.3390/math9060689.
Haessler, R.W. & Hogue, S.L. (1976). A Note on the Single-Machine Multi-Product Lot
Scheduling Problem. Management Science, Vol. 22, No. 8, pp. 909-912.
Hwang, H. (2010). Economic Lot-Sizing for Integrated Production and Transportation.
Operations Research , Vol. 58, No. 2, pp. 428-444.
Khouja, M. & Mehrez, A. (1994). Economic Production Lot Size Model with Variable
Production Rate and Imperfect Quality. The Journal of the Operational Research Society,
,Vol. 45, No. 12. pp. 1405-1417.
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, No.2, pp225-234.
Mokhlesiana, M., Ghomia, S.M. & Jolaib, F. (2010). Economic lot scheduling problem with
consideration of money time value. International Journal of Industrial Engineering
Computations, 1 (2010) 121–138.
Moon, I., Giri, B. C. & Choi, K. (2002). Economic lot scheduling problem with imperfect
production processes and setup times. Journal of the Operational Research Society Vol.
, No.6.
Sharma S.D. (2005). Operations Research (15thed), KedarNath Ram Nath, pp 88-106.
Su, S. & Lin S. (2013). The Optimal Inventory Policy of Production Management. Engineering,
vol. 5, pp. 9-13 http://dx.doi.org/10.4236/eng.2013.55A002.
Talapatra, S., Taher, G.A. & Islam, M. (2016). Economic Lot Scheduling of Time Varying
Demand with Stockout in a Jute Industry. Global Journal of Researches in Engineering:
G Industrial Engineering, Vol 16, Issue 1, Version 1.0.
Tang, M., Jing, F. & Chao, X. (2020). A Dynamic Lot Sizing Model with Production-Or-
Outsourcing Decision Under Minimum Production Quantities. Journal of Industrial and
Management Optimization. Vol.16, No.5, pp.2389-2406. doi:10.3934/jimo.2019059.
Zipkin, P.H. (1991). Computing Optimal Lot Sizes in the Economic Lot Scheduling Problem.
Operations Research, Vol. 39, No. 1, pp. 56-63.
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