A LITERATURE REVIEW OF STOCK CONTROL MODELS UNDER DIFFERENT SITUATIONS

Year 2019, Volume: 24 Issue: 1, 19 - 31, 30.01.2019

Ahmed Adnan Hafedh Algburı Abdullah Eroğlu Harun Sulak

Abstract

The economic literature regarding inventory management modeling focuses on the development of stochastic and deterministic inventory control models. Among these models, deterministic static models are the ones that have lowest level of mathematical complexity. Classical economic order quantity and economic production quantity models are the most common examples of deterministic static modeling. Although these models are simple and practical, sometimes they are regarded insufficient to respond problems faced in real life. For this reason, to be able to answer real life problems, new models are produced by adding new assumptions to the model or relaxing existing assumptions of the model. In these models, deterioration of products, multiple products, different demand functions, quantity reductions, variable production rate, time value of money, inflation and learning effect are discussed. In this study, a comprehensive literature review is conducted for these stock control models developed under different situations.

Keywords

Stock Control Models, Deterioration, Time Value of Money, Inflation, Learning Effect

FARKLI DURUMLAR ALTINDA GELİŞTİRİLEN STOK KONTROL MODELLERİ YAZIN TARAMASI

Abstract

Stok yönetimiyle ilgili olarak ekonomik literatür incelendiğinde stokastik ve deterministik stok modellerinin geliştirildiği görülmektedir. Bunlar arasında, deterministik modeller matematiksel karmaşıklık düzeyi en düşük olan modellerdir. Klasik ekonomik sipariş miktarı modeli ve klasik ekonomik üretim miktarı modelleri deterministik modellerin yaygın olarak görülen örnekleridir. Her ne kadar bu modeller basit ve kullanışlı olsa da zaman zaman gerçek hayatta ortaya çıkan problemlere cevap vermekte yetersiz kalmaktadır. Bu nedenle, modelde yer alan varsayımlara ilave varsayımlar eklenmesi yahut mevcut varsayımların gevşetilmesi yoluyla yeni modeller geliştirilmektedir. Bu modellerde zaman içinde ürünlerin bozulması, birden çok ürün olması, farklı talep fonksiyonlarının olması, miktar indirimleri, üretim hızının değişken olması, paranın zaman değeri, enflasyon ve öğrenme etkisi gibi durumlar ele alınmaktadır. Bu çalışmada farklı durumlar altında geliştirilen bu stok kontrol modelleri için kapsamlı bir yazın taraması yapılmaktadır.

Keywords

Stok Kontrol Modelleri, Bozulma, Paranın Zaman Değeri, Enflasyon, Öğrenme

References

• P. L., (1994), “Supplier Pricing and Lot-Sizing When Demand is Price Sensitive”, European Journal of Operational Research, S.78, ss.334–354.
• ADLER, G. L. ve NANDA, R., (1974), “The Effects of Learning on optimal Lot Size Determination Single Product Case”, Alle Trans, S.6, ss.14-20.
• AGGARWAL, V., (1984), “Grouping Multi-Item Inventory Using Common Cycle Periods”, European Journal of Operational Research, c.17, S.3, ss. 369-372.
• BAKER, R. C. ve URBAN, T. L., (1988), “A Deterministic Inventory System with an Inventory-Level-Dependent Demand Rate”, The Journal of the Operational Research Society, c.39, S.9, ss.823-831.
• BALKHI, Z. T., (2004), “On the Optimality of Inventory Models with Deteriorating Items for Demand and on-Hand Inventory Dependent Production Rate”, IMA Journal of Management Mathematics, S.15, ss.67-86.
• BANERJEE, S. ve SHARMA, A., (2010), “Optimal Procurement and Pricing Policies for Inventory Models with Price and Time Dependent Seasonal Demand”, Mathematical and Computer Modelling, S.51, ss.700-701.
• BARTMANN, D. ve BECKMANN, M. J., (1992), Inventory Control Models and Methods, Sipringer Verlag, Berlin.
• BHATTACHARYA, D. K., (2005), “On Multi-Item Inventory”, European Journal of Operational Research, S.162, ss.786–791.
• BUZACOTT, J. A., (1975), “Economic Order Quantities with Inflation”, Journal of the Operational Research Society, c.26, S.3, ss.553–558.
• CHAKRAVARTY, A. K., (1981), “Multi-Item Inventory Aggregation into Groups”, The Journal of the Operational Research Society, c.32, S.1, ss.19-26.
• CHANDRA, M. J., BAHNER, M. L., (1985), “The Effects of Inflation and the Time Value of Money on Some Inventory Systems”, International Journal of Production Research, c.23, S.4, ss.723-730.
• CROUCH, R. B. ve OGLESBY, S., (1978), “Optimization of a Few Lot Sizes to Cover a Range of Requirements”, Journal of the Operational Research Society, c.29, S.9, ss.897-904.
• DONALDSON, W. A., (1977), "Inventory replenishment Policy for a Linear Trend in Demand: an Analytical Solution", The Journal of the Operational Research Society, c.28, S.3, ss.663-670.
• EROGLU, A., (2003), Deterministik Envanter Modelleri, Fakülte Kitabevi.
• FISK, J. C. ve BALLOU, D. P., (1982), “Production Lot Sizing under a Learning Effect”, IIE Transactions, S.14, ss.257 -264.
• GHARE, P. M. ve SCHRADER, G. P., (1963), "A Model for Exponentially Decaying Inventory", Journal of Industrial Engineering, S.14, ss. 238-243.
• GIRI, B. C. ve MAITI, T., (2012), “Supply Chain Model for a Deteriorating Product with Time-Varying Demand and Production Rate”, Journal of the Operational Research Society, S.63, ss.666.
• GOYAL, S. K. ve GIRI, B. C., (2001), “Recent Trends in Modeling of Deteriorating Inventory”, European Journal of Operational Research, S.134, ss.1-16.
• GOYAL, S. K., (1994), “Determining economic replenishment intervals for linear trend in demand”, International Journal of Production Economics, S.34, ss.115–117.
• S. C., RINNOOY KAN , A. H. G. ve ZIPKIN, P. H., (1993), Handbooks in Operations Research and Management Science -Logistics of Production and Inventory, Elsevier Science Publishers, North Holland.
• HADLEY, G. ve WHITIN, T. M., (1963), Analysis of Inventory Systems, Prentice Hall, New Jersey.
• HARIGA, M., (1994), “The Inventory Lot-Sizing Problem with Continuous Time-Varying Demand and Shortages”, The Journal of the Operational Research Society, c.45, S.7, ss.827- 837.
• HENERY, R. J., (1979), “Inventory Replenishment Policy for Increasing Demand”, Journal of the Operational Research Society, S.30, ss.611-617.
• KANET, J. J. ve MILES, J. A., (1985), “Economic Order Quantities and Inflation”, International Journal of Production Research, c.23, S.3, ss.597-608.
• KEACHIE, E. C. ve FORTANA, R. J., (1966), “The Effect of Learning on Optimal Size”, Management Science, c.13, S.2, ss.102-108.
• KHANLARZADE, N., YEGANE, B. Y., KAMALABADI, I. N. Ve FARUKI, H., (2014), “Inventory control with deteriorating items: A state-of-the-art literature review”, International Journal of Industrial Engineering Computations, S.5, ss.179-198.
• KUMAR, N. ve KUMAR, S., (2016), “Effect of Learning and Salvage Worth on an Inventory Model for Deteriorating Items with Inventory-Dependent Demand Rate and Partial Backlogging with Capability Constraints”, Uncertain Supply Chain Management, S.4, ss.123–136.
• LADANY, S. ve STERNLIEB, A., (1974), “The Interaction of Economic Ordering Quantities and Marketing Policies”, AIIE Transactions, c.6, S.1, ss.35-40.
• Lİ, R., LAN, H. ve MAWHINNEY, J. R., (2010), “A Review on Deteriorating Inventory Study”, Journal of Service Science and Management, S.3, ss.117-118.
• MISRA, R. B., (1979), “A Note on Optimal Inventory Management under Inflation”, Naval Research Logistics Quarterly, c.26, S.1, ss.161-165.
• MUCKSTADT, J. A. ve SAPRA, A., (2010), Principles of Inventory Management, Springer, New York.
• NAHMIAS, S., (2011), Perishable Inventory Systems, Springer, California USA.
• RASTOGI, M., vd., (2017), “Two Warehouse Inventory Policy with Price Dependent Demand and Deterioration under Partial Backlogging”, Decision Science Letters, S.6, ss.11–22.
• RAY, J. ve CHAUDHURI, K. S., (1997), “An EOQ Model With Stock-Dependent Demand, Shortage, Inflation and Time Discounting”, International Journal of Production Economics, S.53, ss.171-180.
• SAHA, S. ve SEN, N., (2017), “A Study on Inventory Model with Negative Exponential Demand and Probabilistic Deterioration Under Backlogging”, Uncertain Supply Chain Management, c.5, ss.77-88.
• SILVER, E. A. ve PETERSON, R., (1985), Decision Systems for Inventory Management and Production Planning, 2nd edn. Wiley, New York.
• SMUNT, T. L. ve MORTON, T. E., (1985), “The Effects of Learning on Optimal Lot Sizes: Further Developments on the Single Product Case”, IIE Transactions, S.17, ss.33-37.
• WATERS, D., (2003), Inventory Control and Management, 2nd Edition, Wiley.
• WEE, H. M., (1995), “A Deterministic Lot-Size Inventory Model For Deteriorating Items With Shortages And A Declining Market”, Computers & Operations Research, c. 22, S.3, ss. 345-356.
• WEE, H. M., (1999), “Deteriorating Inventory Model With Quantity Discount, Pricing And Partial Backordering”, International Journal of Production Economics, S.59, ss.511-518.
• WILD, T., (1997), Best Practice in Inventory Management, John Wiley & Sons, Inc, New York.
• WU, K. S., (2002), “Deterministic Inventory Model For Items With Time Varying Demand, Weibull Distribution Deterioration And Shortages”, Yugoslav Journal of Operations Research, c.12, S.1, ss.61-71.
• YANG, H. L., (2011), “A Partial Backlogging Production-Inventory Lot-Size Model for Deteriorating Items with Time-Varying Production and Demand Rate over a Finite Time Horizon”, International Journal of Systems Science, c.42, S.8, ss.1397-1407.