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Single and Multi-Period Inventory Control Models

Year 2017, , 441 - 455, 28.08.2017
https://doi.org/10.21923/jesd.320384

Abstract

Nowadays,
companies have to provide the most suitable product to the customer's demands
in the fastest way with minimum cost in order to be able to stand competitive
conditions and to be placed in the market. All of these factors have
encouraged firms to focus on the design and planning of well-organized
inventory systems that allow the right amount of product to be distributed
right at the right price. Numerous studies have been carried out in the
literature, especially on inventory control problems in recent years. In
this study, inventory control problems are collected in two main topics; single
and multi period. The studies are summarized and categorized by considering the
components such as demand type (deterministic or stochastic), number of products
(single or multi product), system structure (single or multi stage), product
life (unlimited shelf life or deteriorating products), number of objective function (single
or multi objective), warehouse management policy. Also; other details such as
constraints, modeling method, and solution approach are also mentioned. With
this study, it is aimed to present the works done on single and multi period
inventory problems to the reader in tabular form and to present the information
to the researchers who will work on this subject.

References

  • Alikar N., Mousavi S.M, Raja Ghazilla R.A., Tavana M., Olugu E.U., 2017. Application of the NSGA-II Algorithm to a Multi-Period Inventory-Redundancy Allocation Problem in A Series-Parallel System, Reliability Engineering & System Safety, 160, 1-10.
  • Axsater S., Nuttle H. L.W., 1987. Combining Items for Lot Sizing in Multi-Level Assembly Systems. International Journal of Production Research, 25, 795–807.
  • Aydemir E., 2015. Inventory Management and Extensions: A review of Economic Production Models. Anadolu University Journal of Social Sciences, 15 (3), 97-112.
  • Aydemir E., Bedir F., Ozdemir G., Eroglu A., 2014. An EPQ Model with Imperfect Items Using Interval Grey Numbers. An International Journal of Optimization and Control: Theories & Applications, 5(1), 21-32.
  • Aydemir, E., Bedir, F., Ozdemir, G., 2015. Degree of Greyness Approach for an EPQ Model with Imperfect Items in Copper Wire Industry. The Journal of Grey System, 27 No. 2, 13-26.
  • Bai Q.-G., Zhang Y.-Z., Dong G.-L., 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, 132–136.
  • Bakker M., Riezebos J., Teunter R.H. 2012. Review of Inventory Systems with Deterioration Since 2001. European Journal of Operational Research, 221(2), 275-284.
  • Cárdenas-Barrón L.E., González-Velarde J.L., Treviño-Garza G., 2015. A New Approach to Solve the Multi Product Multi-Period Inventory Lot Sizing with Supplier Selection Problem. Computers & Operations Research, 64, 225-232.
  • Chen L., Chen Y., 2010. A Multiple-item Budget-Constraint Newsboy Problem with a Reservation Policy. OMEGA, 38(6), 431-439.
  • Chen S.-P., Ho Y.-H, 2013. Optimal Inventory Policy for the Fuzzy Newsboy Problem with Quantity Discounts, Information Sciences, 228, 75-89.
  • Choudhary D., Shankar R., 2011. Modeling and Analysis of Single Item Multi-Period Procurement Lot-Sizing Problem Considering Rejections and Late Deliveries. Computers & Industrial Engineering, 61, 1318–1323.
  • Clark A.J., Scarf H., 1960. Optimal Policies for a Multi-Echelon Inventory Problem, Management Science, 5(4), 475-490.
  • Çekiç B., 2015. Tedarik Zincirlerinde Durağan Olmayan Talep Altında Çok Kademeli Stok Kontrol Yönetimi için bir Stokastik Programlama Yaklaşımı, Hacettepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, 33(1), 2015, 45-77.
  • Das B., Maiti M., 2007. An Application of Bi-Level Newsboy Problem in Two Substitutable Items Under Capital Cost, Applied Mathematics and Computation, 190 (1), 410–422.
  • Dem H., Singh S., Kumar J., 2014. An EPQ Model with Trapezoidal Demand Under Volume Flexibility. International Journal of Industrial Engineering Computations, 5(1), 127-138.
  • Ding S., 2013. Uncertain Multi-Product Newsboy Problem with Chance Constraint, Applied Mathematics and Computation, 223 (2013), 139–146.
  • Efendioğlu D., Bulkan S., 2017. Capacity Management in Hotel Industry for Turkey. Handbook of Research on Holistic Optimization Techniques in the Hospitality, Tourism, and Travel Industry, 286-304.
  • Eroğlu A., 2002. Deterministik Envanter Modelleri, Fakülte Kitabevi.
  • Gaiduk A. R., Vershinin Y. A., West M. J., 2002. Neural Networks and Optimization Problems, Proceedings of the IEEE International Conference on Control Applications, 1, 37–41, September 2002.
  • Gen M., Syarif A., 2005. Hybrid Genetic Algorithm for Multi-Time Period Production/Distribution Planning. Computers & Industrial Engineering, 48, 799–809.
  • Goyal S., Giri B., 2001. Recent Trends in Modeling of Deteriorating. European Journal of Operational Research, 134 (1), 1-16.
  • Gürler Ü., Özkaya B.Y., 2008. Analysis of the (s, S) Policy for Perishables with a Random Shelf Life. IIE Transactions, 40, 759–781.
  • Hadley G., Whitin T.M., 1963. Analysis of Inventory Systems, Prentice Hall, Englewood Cliffs, NJ.
  • Harris, F.W., 1913. How Many Parts to Make at Once. Factory The Magazine of Management, 10, 135–136.
  • Helber S., Sahling F., 2013. Dynamic Capacitated Lot Sizing with Random Demand and Dynamic Safety Stocks. OR Spectrum 35, 75–105.
  • Hnaien F., Dolgui A., Wu D.D. , 2016. Single-period Inventory Model for One-level Assembly System with Stochastic Lead times and Demand. International Journal of Production Research, 54, 186–203.
  • Hopp W.J., Spearman M.L., Zhang R.Q., 1997. Easily Implementable Inventory Control Policies. Operations Research, 45, 327–340.
  • Hosseini S.V., Moghadasi H., Noori A.H., Royani M.B., 2009. Newsboy Problem with Two Objectives, Fuzzy Costs and Total Discount Strategy. Journal of Applied Sciences, 9, 1880-1888.
  • Hsu V., 2003. An Economic Lot Size Model for Perishable Products with Age-Dependent Inventory and Backorder Costs. IIE Transactions, 35(8), 775–780.
  • Huang M. G., 2015. Optimal Ordering Policy for Perishable Items in an Advanced Booking System with Stochastic Reservation Cancellations. International Journal of Information and Management Sciences, 26(3), 271-290.
  • Janssen L., Claus T., Sauer J., 2016. Literature Review of Deteriorating Inventory Models by Key Topics From 2012 to 2015, International Journal of Production Economics, 182, 86-112.
  • Kahraman C., Öztayşi B., 2014. Supply Chain Management under Fuzziness, Series: Studies in Fuzziness and Soft Computing: Recent Developments and Techniques, 313, Springer Verlag.
  • Kahraman C., Yavuz M., 2010. Production Engineering and Management under Fuzziness, Springer-Verlag, Series: Studies in Fuzziness and Soft Computing.
  • Karaesmen I.Z., Scheller-Wolf A., Deniz B., 2011. Managing Perishable and Aging Inventories: Review and Future Research Directions. International Series in Operations Research & Management Science, 151, 393-436.
  • Karahan M., Aslan Ş., 2016. Bir Çimento Fabrikasında Hammadde Stok Kontrolü Uygulaması. Süleyman Demirel Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, 21(3), 773-783.
  • Karimi M., Niknamfar A.H., Pasandideh S.H.R., 2016. Two-stage Single Period Inventory Management for A Manufacturing Vendor under Green-Supplier Supply Chain. International Journal of Systems Assurance Engineering and Management, 1-15.
  • Kasap N., Biçer İ., Yüksel Özkaya B., 2010. Stokastik Envanter Model Kullanılarak İş Makinelerinin Onarımında Kullanılanılan Kritik Yedek Parçalar için Envanter Yönetim Sistemi Oluşturulması. İstanbul Üniversitesi İşletme Fakültesi Dergisi, 39(2), 310-334.
  • Khouja M.J., 1999. The Single-period (News-vendor) Problem: Literature Review and Suggestions for Future Research. Omega, 27(5), 537-553.
  • Kim G., Wu K., Huang E., 2015. Optimal Inventory Control in A Multi-Period Newsvendor Problem with Non-Stationary Demand. Advanced Engineering Informatics, 29(1), 139-145.
  • Lee A.H.I., Kang H.Y., 2008. A Mixed 0–1 Integer Programming for Inventory Model: A Case Study of TFT-LCD Manufacturing Company in Taiwan. Kybernetes, 37 (1), 66–82.
  • Mahapatra N.K., Maiti M., 2005. Multi-objective Inventory Models of Multi-items with Quality and Stock-Dependent Demand and Stochastic Deterioration. Advanced Modeling and Optimization, 7 (1), 69–84.
  • Mandal N.K., Roy T.K., Maiti M., 2005. Multi-objective Fuzzy Inventory Model with Three Constraints: A Geometric Programming Approach. Fuzzy Sets and Systems, 150, 87–106.
  • Mousavi S.M., Hajipour V., Niaki S.T.A., Alikar N., 2013. Optimizing Multi-item Multi-Period Inventory Control System With Discounted Cash Flow And Inflation: Two Calibrated Meta-Heuristic Algorithms. Applied Mathematical Modelling, 37, 2241–2256.
  • Mousavi S.M., Niaki S.T.A., Bahreininejad A., Musa S.N., 2014. Multi-item Multi-periodic Inventory Control Problem with Variable Demand and Discounts: A Particle Swarm Optimization Algorithm. The Scientific World Journal, 1–16.
  • Mousavi S.M., Pasandideh S.H., 2011. A Multi-Periodic Multi-Product Inventory Control Problem with Discount: GA Optimization Algorithm. Journal of Optimization in Industrial Engineering, 4(7), 37–44.
  • Mousavi S.M., Sadeghi J., Niaki S.T.A., Tavana M., 2016. A Bi-Objective Inventory Optimization Model Under Inflation and Discount Using Tuned Pareto-Based Algorithms: NSGA-II, NRGA, and MOPSO. Applied Soft Computing, 43, 57–72.
  • Murray C.C., Gosavi A., Talukdar D., 2012. The Multi-Product Price-Setting Newsvendor with Resource Capacity Constraints. International Journal of Production Economics, 138 (1), 148–158.
  • Nahmias S., Schmidt C.P., 1984. An Efficient Heuristic for the Multi-item Newsboy Problem with A Single Constraint. Naval Research Logistics, 31 (3), 463–474.
  • Önal M., Romeijn H.E., Sapra A., van den Heuvel W., 2015. The Economic Lot-Sizing Problem with Perishable Items and Consumption Order Preference. European Journal of Operational Research, 244(3), 881-891.
  • Pahl J., Voß S., 2010. Discrete Lot-Sizing and Scheduling Including Deterioration and Perishability Constraints. Advanced Manufacturing and Sustainable Logistics. Springer Berlin Heidelberg, Berlin, Heidelberg, 345–357.
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  • Pasandideh S.H.R., Niaki S. T. A., Tokhmehchi N., 2011b. A Parameter-Tuned Genetic Algorithm to Optimize Two-Echelon Continuous Review Inventory Systems. Expert Systems with Applications, 38, 11708–11714.
  • Pasandideh S.H.R., Niaki S.T.A., Mousavi S. M., 2013. Two Metaheuristics to Solve A Multi-item Multi-period Inventory Control Problem under Storage Constraint and Discounts. International Journal of Advanced Manufacturing Technology, 69, 1671–1684.
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  • Sadeghi J., Mousavi M.S., Niaki S.T.A., 2016. Optimizing an Inventory Model with Fuzzy Demand, Backordering, and Discount Using a Hybrid Imperialist Competitive Algorithm. Applied Mathematical Modelling, 40 (15–16), 7318-7335.
  • Saraçoglu I., Topaloglu S., Keskinturk, T. 2014. A Genetic Algorithm Approach for Multi-Product Multi-Period Continuous Review Inventory Models. Expert Systems with Applications, 41(18), 8189-8202.
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Tek ve Çok Dönemli Envanter Kontrol Modelleri

Year 2017, , 441 - 455, 28.08.2017
https://doi.org/10.21923/jesd.320384

Abstract

Günümüzde
firmalar rekabet şartlarına dayanabilmek ve pazarda yer edinebilmek için
müşteri taleplerine en uygun ürünü, en az maliyetle en hızlı biçimde sağlamak
zorundadırlar. Bütün bu faktörler firmaları, doğru kaynaktan doğru miktarda
ürünün, doğru fiyat ile doğru yere dağıtılmasını sağlayan iyi organize
olmuş envanter sistemlerinin tasarımı ve planlaması üzerine odaklanmaya teşvik
etmiştir. Literatürde, özellikle son yıllarda envanter kontrol problemleri
üzerine çok sayıda çalışma yapılmıştır. Bu çalışmada, envanter kontrol
problemleri tek ve çok dönemli olmak üzere iki ana başlıkta toplanmıştır.
Çalışmalar, talep türü (deterministik veya stokastik), ürün sayısı (tek veya
çok ürünlü), sistem yapısı (tek veya çok aşamalı), ürün ömrü (sınırsız raf
ömürlü veya bozulabilen ürünler), amaç fonksiyonu sayısı (tek amaçlı veya çok
amaçlı), depo yönetim politikası gibi bileşenler dikkate alınarak özetlenmiş ve
sınıflandırılmıştır. Ayrıca; kısıtlamalar, modelleme metodu ve çözüm yaklaşımı
gibi diğer ayrıntılar da belirtilmiştir. Bu çalışma ile tek ve çok dönemli envanter
problemleri ile ilgili yapılan çalışmaların tablolar halinde okuyucuya
sunulması ve bu konuda çalışma yapacak araştırmacılara önbilgi sunulması
amaçlanmıştır.

References

  • Alikar N., Mousavi S.M, Raja Ghazilla R.A., Tavana M., Olugu E.U., 2017. Application of the NSGA-II Algorithm to a Multi-Period Inventory-Redundancy Allocation Problem in A Series-Parallel System, Reliability Engineering & System Safety, 160, 1-10.
  • Axsater S., Nuttle H. L.W., 1987. Combining Items for Lot Sizing in Multi-Level Assembly Systems. International Journal of Production Research, 25, 795–807.
  • Aydemir E., 2015. Inventory Management and Extensions: A review of Economic Production Models. Anadolu University Journal of Social Sciences, 15 (3), 97-112.
  • Aydemir E., Bedir F., Ozdemir G., Eroglu A., 2014. An EPQ Model with Imperfect Items Using Interval Grey Numbers. An International Journal of Optimization and Control: Theories & Applications, 5(1), 21-32.
  • Aydemir, E., Bedir, F., Ozdemir, G., 2015. Degree of Greyness Approach for an EPQ Model with Imperfect Items in Copper Wire Industry. The Journal of Grey System, 27 No. 2, 13-26.
  • Bai Q.-G., Zhang Y.-Z., Dong G.-L., 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, 132–136.
  • Bakker M., Riezebos J., Teunter R.H. 2012. Review of Inventory Systems with Deterioration Since 2001. European Journal of Operational Research, 221(2), 275-284.
  • Cárdenas-Barrón L.E., González-Velarde J.L., Treviño-Garza G., 2015. A New Approach to Solve the Multi Product Multi-Period Inventory Lot Sizing with Supplier Selection Problem. Computers & Operations Research, 64, 225-232.
  • Chen L., Chen Y., 2010. A Multiple-item Budget-Constraint Newsboy Problem with a Reservation Policy. OMEGA, 38(6), 431-439.
  • Chen S.-P., Ho Y.-H, 2013. Optimal Inventory Policy for the Fuzzy Newsboy Problem with Quantity Discounts, Information Sciences, 228, 75-89.
  • Choudhary D., Shankar R., 2011. Modeling and Analysis of Single Item Multi-Period Procurement Lot-Sizing Problem Considering Rejections and Late Deliveries. Computers & Industrial Engineering, 61, 1318–1323.
  • Clark A.J., Scarf H., 1960. Optimal Policies for a Multi-Echelon Inventory Problem, Management Science, 5(4), 475-490.
  • Çekiç B., 2015. Tedarik Zincirlerinde Durağan Olmayan Talep Altında Çok Kademeli Stok Kontrol Yönetimi için bir Stokastik Programlama Yaklaşımı, Hacettepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, 33(1), 2015, 45-77.
  • Das B., Maiti M., 2007. An Application of Bi-Level Newsboy Problem in Two Substitutable Items Under Capital Cost, Applied Mathematics and Computation, 190 (1), 410–422.
  • Dem H., Singh S., Kumar J., 2014. An EPQ Model with Trapezoidal Demand Under Volume Flexibility. International Journal of Industrial Engineering Computations, 5(1), 127-138.
  • Ding S., 2013. Uncertain Multi-Product Newsboy Problem with Chance Constraint, Applied Mathematics and Computation, 223 (2013), 139–146.
  • Efendioğlu D., Bulkan S., 2017. Capacity Management in Hotel Industry for Turkey. Handbook of Research on Holistic Optimization Techniques in the Hospitality, Tourism, and Travel Industry, 286-304.
  • Eroğlu A., 2002. Deterministik Envanter Modelleri, Fakülte Kitabevi.
  • Gaiduk A. R., Vershinin Y. A., West M. J., 2002. Neural Networks and Optimization Problems, Proceedings of the IEEE International Conference on Control Applications, 1, 37–41, September 2002.
  • Gen M., Syarif A., 2005. Hybrid Genetic Algorithm for Multi-Time Period Production/Distribution Planning. Computers & Industrial Engineering, 48, 799–809.
  • Goyal S., Giri B., 2001. Recent Trends in Modeling of Deteriorating. European Journal of Operational Research, 134 (1), 1-16.
  • Gürler Ü., Özkaya B.Y., 2008. Analysis of the (s, S) Policy for Perishables with a Random Shelf Life. IIE Transactions, 40, 759–781.
  • Hadley G., Whitin T.M., 1963. Analysis of Inventory Systems, Prentice Hall, Englewood Cliffs, NJ.
  • Harris, F.W., 1913. How Many Parts to Make at Once. Factory The Magazine of Management, 10, 135–136.
  • Helber S., Sahling F., 2013. Dynamic Capacitated Lot Sizing with Random Demand and Dynamic Safety Stocks. OR Spectrum 35, 75–105.
  • Hnaien F., Dolgui A., Wu D.D. , 2016. Single-period Inventory Model for One-level Assembly System with Stochastic Lead times and Demand. International Journal of Production Research, 54, 186–203.
  • Hopp W.J., Spearman M.L., Zhang R.Q., 1997. Easily Implementable Inventory Control Policies. Operations Research, 45, 327–340.
  • Hosseini S.V., Moghadasi H., Noori A.H., Royani M.B., 2009. Newsboy Problem with Two Objectives, Fuzzy Costs and Total Discount Strategy. Journal of Applied Sciences, 9, 1880-1888.
  • Hsu V., 2003. An Economic Lot Size Model for Perishable Products with Age-Dependent Inventory and Backorder Costs. IIE Transactions, 35(8), 775–780.
  • Huang M. G., 2015. Optimal Ordering Policy for Perishable Items in an Advanced Booking System with Stochastic Reservation Cancellations. International Journal of Information and Management Sciences, 26(3), 271-290.
  • Janssen L., Claus T., Sauer J., 2016. Literature Review of Deteriorating Inventory Models by Key Topics From 2012 to 2015, International Journal of Production Economics, 182, 86-112.
  • Kahraman C., Öztayşi B., 2014. Supply Chain Management under Fuzziness, Series: Studies in Fuzziness and Soft Computing: Recent Developments and Techniques, 313, Springer Verlag.
  • Kahraman C., Yavuz M., 2010. Production Engineering and Management under Fuzziness, Springer-Verlag, Series: Studies in Fuzziness and Soft Computing.
  • Karaesmen I.Z., Scheller-Wolf A., Deniz B., 2011. Managing Perishable and Aging Inventories: Review and Future Research Directions. International Series in Operations Research & Management Science, 151, 393-436.
  • Karahan M., Aslan Ş., 2016. Bir Çimento Fabrikasında Hammadde Stok Kontrolü Uygulaması. Süleyman Demirel Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, 21(3), 773-783.
  • Karimi M., Niknamfar A.H., Pasandideh S.H.R., 2016. Two-stage Single Period Inventory Management for A Manufacturing Vendor under Green-Supplier Supply Chain. International Journal of Systems Assurance Engineering and Management, 1-15.
  • Kasap N., Biçer İ., Yüksel Özkaya B., 2010. Stokastik Envanter Model Kullanılarak İş Makinelerinin Onarımında Kullanılanılan Kritik Yedek Parçalar için Envanter Yönetim Sistemi Oluşturulması. İstanbul Üniversitesi İşletme Fakültesi Dergisi, 39(2), 310-334.
  • Khouja M.J., 1999. The Single-period (News-vendor) Problem: Literature Review and Suggestions for Future Research. Omega, 27(5), 537-553.
  • Kim G., Wu K., Huang E., 2015. Optimal Inventory Control in A Multi-Period Newsvendor Problem with Non-Stationary Demand. Advanced Engineering Informatics, 29(1), 139-145.
  • Lee A.H.I., Kang H.Y., 2008. A Mixed 0–1 Integer Programming for Inventory Model: A Case Study of TFT-LCD Manufacturing Company in Taiwan. Kybernetes, 37 (1), 66–82.
  • Mahapatra N.K., Maiti M., 2005. Multi-objective Inventory Models of Multi-items with Quality and Stock-Dependent Demand and Stochastic Deterioration. Advanced Modeling and Optimization, 7 (1), 69–84.
  • Mandal N.K., Roy T.K., Maiti M., 2005. Multi-objective Fuzzy Inventory Model with Three Constraints: A Geometric Programming Approach. Fuzzy Sets and Systems, 150, 87–106.
  • Mousavi S.M., Hajipour V., Niaki S.T.A., Alikar N., 2013. Optimizing Multi-item Multi-Period Inventory Control System With Discounted Cash Flow And Inflation: Two Calibrated Meta-Heuristic Algorithms. Applied Mathematical Modelling, 37, 2241–2256.
  • Mousavi S.M., Niaki S.T.A., Bahreininejad A., Musa S.N., 2014. Multi-item Multi-periodic Inventory Control Problem with Variable Demand and Discounts: A Particle Swarm Optimization Algorithm. The Scientific World Journal, 1–16.
  • Mousavi S.M., Pasandideh S.H., 2011. A Multi-Periodic Multi-Product Inventory Control Problem with Discount: GA Optimization Algorithm. Journal of Optimization in Industrial Engineering, 4(7), 37–44.
  • Mousavi S.M., Sadeghi J., Niaki S.T.A., Tavana M., 2016. A Bi-Objective Inventory Optimization Model Under Inflation and Discount Using Tuned Pareto-Based Algorithms: NSGA-II, NRGA, and MOPSO. Applied Soft Computing, 43, 57–72.
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There are 82 citations in total.

Details

Subjects Engineering
Journal Section Derleme veya Çeviri Makale \ Review or Translated Articles
Authors

Zeynep Ceylan

Serol Bulkan

Hakan Tozan

Publication Date August 28, 2017
Submission Date June 10, 2017
Acceptance Date August 27, 2017
Published in Issue Year 2017

Cite

APA Ceylan, Z., Bulkan, S., & Tozan, H. (2017). Tek ve Çok Dönemli Envanter Kontrol Modelleri. Mühendislik Bilimleri Ve Tasarım Dergisi, 5(2), 441-455. https://doi.org/10.21923/jesd.320384