Araştırma Makalesi
BibTex RIS Kaynak Göster

Fiyat-Duyarlı Talep ve Tarama Kısıtı ile Bir Ekonomik Üretim Miktarı Modeli

Yıl 2019, Cilt: 34 Sayı: 3, 413 - 430, 30.09.2019
https://doi.org/10.24988/ije.2019343843

Öz

Talep miktarının satış fiyatına karşı duyarlı olması ve kusurlu üretim varsayımlarının optimal politika üzerindeki etkisi birçok üretim probleminde ele alınmıştır. Bu modellerde, tarama işleminin üretim süresi sonunda tamamlandığı varsayılmıştır. Bu çalışmada, tek kalem ürünün tek bir makinede partiler halinde üretildiği bir üretim sistemi için talep miktarının satış fiyatının doğrusal bir fonksiyonu olduğu varsayımı ile bir ekonomik üretim miktarı modeli geliştirilmektedir. Üretim sürecinin kusurlu olduğu, tarama işleminin üretimden sonra da devam ettiği ve belirlenen kusurlu ürünlerin tarama süresi sonunda tek parti halinde indirimli fiyattan satıldığı varsayılmaktadır. Bu çalışmadaki temel amaç, toplam kârı maksimum yapacak üretim miktarı ve satış fiyatının belirlenmesidir. Optimal çözümler önerilen bir algoritma ile elde edilmektedir. Geliştirilen modelin geçerliliğini göstermek amacıyla duyarlılık analizlerine sahip sayısal bir örnek verilmektedir.

Kaynakça

  • Abad, P. L. (2003). Optimal Pricing and Lot-sizing under Conditions of Perishability, Finite Production and Partial Backordering and Lost Sale. European Journal of Operational Research, 144(3), 677–685.
  • Cárdenas-Barrón, L. E. (2009). Economic Production Quantity with Rework Process at A Single-Stage Manufacturing System with Planned Backorders. Computers and Industrial Engineering, 57, 1105-1113.
  • Chan, W. M., Ibrahim, R. N., ve Lochert, P. B. (2003). A New EPQ Model: Integrating Lower Pricing, Rework and Reject Situations”, Production Planning & Control, 14(7), 588-595.
  • Chen, J., ve Bell, P. C. (2009). The Impact of Customer Returns on Pricing and Order Decisions. European Journal of Operational Research, 195, 280–295.
  • Chiu, Y.-S. P. (2003). Determining The Optimal Lot Size for The Finite Production Model with Random Defective Rate, The Rework Process and Backlogging. Engineering Optimization, 35(4), 427-437.
  • Cunha, L. R. A., Delfino, A. P. S., Dos reis, K. A., ve Leiras, A. (2018). Economic Production Quantity (EPQ) Model with Partial Backordering and A Discount for Imperfect Quality Batches. International Journal of Production Research, 56(18), 6279-6293.
  • Dye, C.-Y. (2007). Joint Pricing and Ordering Policy for a Deteriorating Inventory with Partial Backlogging. Omega, 35(2), pp. 184–189.
  • Emir, H., ve Gümüşoğlu, Ş. (1998). Üretim Yönetimi (İşlemler Yönetimi). Beta Yayıncılık, İstanbul.
  • Flapper, S. D. P., ve Teunter, R. H. (2004). Logistic Planning of Rework with Deteriorating Work-In-Process. International Journal of Production Economics, 88, 51–59.
  • Goyal, S. K. (1987). Note – Comment on: A Generalized Quantity Discount Pricing Model to Increase Supplier’s Profits. Management Science, 33, 1635–1636.
  • Gürkan, M. E., Kaya, G. C., ve Kaya, M. F. (2017). Fiyata Bağımlı Deterministik Talep Varsayımı Altında Envanter Modellerini İnceleyen Bir Literatür Araştırmasi ve Sınıflandırması. Karabük Üniversitesi Sosyal Bilimler Enstitüsü Dergisi, 7(1), 162-188.
  • Harris, F. W. (1913). How Many Parts to Make at Once”, Factory, The Magazine of Management 10(2), 135-136,152, reprinted (1990), Operations Research, 38, 947-950.
  • Hayek, P. A., ve Salameh, M. K. (2001). Production Lot Sizing with The Reworking of Imperfect Quality Items Produced. Production Planning & Control, 12(6), 584-590.
  • Hsu, L.- F., ve Hsu, J.-T. (2014). Economic Production Quantity (EPQ) Models under An Imperfect Production Process with Shortages Backordered. International Journal of System Science, 47(4), 852-867.
  • Huang, Y., Huang, G. Q., ve Newman, S. T. (2011). Coordinating Pricing and Inventory Decisions in A Multi-Level Supply Chain: A Game-Theoretic Approach. Transportation Research Part E: Logistics and Transportation Review, 47(2), 115–129.
  • Jain, S., Tiwari, S., Cárdenas-Barrón, L. E., SHAIKH, A. A., ve SINGH, S. R. (2018). A Fuzzy Imperfect Production and Repair Inventory Model with Time Dependent Demand, Production and Repair Rates under Inflationary Conditions. RAIRO-Operations Research, 52(1), 217-239.
  • Jamal, A. M. M., Sarker, B. R., ve Mondal, S. (2004). Optimal Manufacturing Batch Size with Rework Process at A Single-Stage Production System. Computers and Industrial Engineering, 47(1), 77-89.
  • Koçer, U. U., ve Yalçin, B. (2013). Bir Stokastik Model Olarak Bozulabilir Envanter Problemi: Literatür Araştırması. Dokuz Eylül Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, 28(1), 119-144.
  • Lau, H.-S., Lau, A. H.-L., ve Kottas, J. F. (2001). Pricing/inventory Decisions and Profit Shares in A Non-Integrated Marketing Channel for A Single-Period Product. Journal of the Operational Research Society, 52(6), 682–690.
  • Moussawi-Haidar, L., Salameh, M., ve Nasr, W. (2016). Production Lot Sizing with Quality Screening and Rework. Applied Mathematical Modelling, 40, 3242-3256.
  • Öztürk, H. (2017). A Note on “Production Lot Sizing with Quality Screening and Rework”. Applied Mathematical Modelling, 43, 659-669.
  • Parlar, M., ve Weng, Z. K. (2006). Coordinating Pricing and Production Decisions in The Presence of Price Competition. European Journal of Operational Research, 170, 211–227.
  • Porteus, E. L. (1986). Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction. Operations Research, 34, 137-144.
  • Rosenblatt, M. J., Lee, ve H. L. (1986). Economic Production Cycles with Imperfect Production Processes. IIE Transactions, 18(1), 48-55.
  • Ross, S. M. (1996). Stochastic Processes. Wiley, New York.
  • Sajadieh, M. S., ve Jokar, M. R. A. (2009). Optimizing Shipment, Ordering and Pricing Policies in A Two-Stage Supply Chain with Price-Sensitive Demand. Transportation Research Part E: Logistics and Transportation Review, 45(4), 564–571.
  • San-josé, L. A., Sicilia, J., ve Alcaide-López-de-Pablo, D. (2018). An Inventory System with Demand Dependent on Both Time and Price Assuming Backlogged Shortages. European Journal of Operational Research, 270(3), 889-897.
  • Sarkar, B., Cárdenas-Barrón, L. E., Sarkar, M., ve Singgih, M. K. (2014). An Economic Production Quantity Model with Random Defective Rate, Rework Process and Backorders for A Single Stage Production System. Journal of Manufacturing Systems, 33, 423–435.
  • Shah, N. H., Patel, D. G., ve Shah, D. B. (2018). EPQ Model for Returned/Reworked Inventories During Imperfect Production Process under Price-Sensitive Stock-Dependent Demand. Operational Research: An International Journal, 18(2), 343-359.
  • Shi, J., Zhang, G., ve Lai, K. K. (2012). Optimal Ordering and Pricing Policy with Supplier Quantity Discounts and Price-Dependent Stochastic Demand. Optimization, 61(2), 151-162.
  • Taft, E. W. (1918). The Most Economical Production Lot. Iron Age, 101, 1410-1412.
  • Taleizadeh, A. A., Kalantari, S. S., ve Cárdenas-Barrón, L. E. (2016). Pricing and Lot Sizing for An EPQ Inventory Model with Rework and Multiple Shipments. TOP, 24, 143-155.
  • Taleizadeh, A. A., Yadegari, M., ve Sana, S. (2019). Production Models of Multiple Products Using Single Machine under Quality Screening and Reworking Policies. Journal of Modelling in Management, 14(1), 232-259.
  • Ulucan, A. (2004). Yöneylem Araştırması (İşletmecilik Uygulamalı ve Bilgisayar Destekli Modelleme). Siyasal Kitabevi, Ankara.

An Economic Production Quantity Model with Price-Sensitive Demand and Screening Constraint

Yıl 2019, Cilt: 34 Sayı: 3, 413 - 430, 30.09.2019
https://doi.org/10.24988/ije.2019343843

Öz

There have been many production problems addressing the effects of price-sensitive demand and imperfect production on optimal policy. These models assumed that screening process is completed at the end of production process. In this paper, an economic production quantity model is developed for a production system where a single item is produced in batches in a single machine by assuming that demand is a linear function of selling price. It is also assumed that the production process is imperfect, the screening process continues after production and the defective products identified are sold as a single batch at a discounted price at the end of the screening period. The main objective of this study is to determine the production quantity and selling price such that the total profit is maximized. The optimal solutions are obtained with a proposed algorithm. A numerical example with sensitivity analysis is given to illustrate the effectiveness of the developed model.

Kaynakça

  • Abad, P. L. (2003). Optimal Pricing and Lot-sizing under Conditions of Perishability, Finite Production and Partial Backordering and Lost Sale. European Journal of Operational Research, 144(3), 677–685.
  • Cárdenas-Barrón, L. E. (2009). Economic Production Quantity with Rework Process at A Single-Stage Manufacturing System with Planned Backorders. Computers and Industrial Engineering, 57, 1105-1113.
  • Chan, W. M., Ibrahim, R. N., ve Lochert, P. B. (2003). A New EPQ Model: Integrating Lower Pricing, Rework and Reject Situations”, Production Planning & Control, 14(7), 588-595.
  • Chen, J., ve Bell, P. C. (2009). The Impact of Customer Returns on Pricing and Order Decisions. European Journal of Operational Research, 195, 280–295.
  • Chiu, Y.-S. P. (2003). Determining The Optimal Lot Size for The Finite Production Model with Random Defective Rate, The Rework Process and Backlogging. Engineering Optimization, 35(4), 427-437.
  • Cunha, L. R. A., Delfino, A. P. S., Dos reis, K. A., ve Leiras, A. (2018). Economic Production Quantity (EPQ) Model with Partial Backordering and A Discount for Imperfect Quality Batches. International Journal of Production Research, 56(18), 6279-6293.
  • Dye, C.-Y. (2007). Joint Pricing and Ordering Policy for a Deteriorating Inventory with Partial Backlogging. Omega, 35(2), pp. 184–189.
  • Emir, H., ve Gümüşoğlu, Ş. (1998). Üretim Yönetimi (İşlemler Yönetimi). Beta Yayıncılık, İstanbul.
  • Flapper, S. D. P., ve Teunter, R. H. (2004). Logistic Planning of Rework with Deteriorating Work-In-Process. International Journal of Production Economics, 88, 51–59.
  • Goyal, S. K. (1987). Note – Comment on: A Generalized Quantity Discount Pricing Model to Increase Supplier’s Profits. Management Science, 33, 1635–1636.
  • Gürkan, M. E., Kaya, G. C., ve Kaya, M. F. (2017). Fiyata Bağımlı Deterministik Talep Varsayımı Altında Envanter Modellerini İnceleyen Bir Literatür Araştırmasi ve Sınıflandırması. Karabük Üniversitesi Sosyal Bilimler Enstitüsü Dergisi, 7(1), 162-188.
  • Harris, F. W. (1913). How Many Parts to Make at Once”, Factory, The Magazine of Management 10(2), 135-136,152, reprinted (1990), Operations Research, 38, 947-950.
  • Hayek, P. A., ve Salameh, M. K. (2001). Production Lot Sizing with The Reworking of Imperfect Quality Items Produced. Production Planning & Control, 12(6), 584-590.
  • Hsu, L.- F., ve Hsu, J.-T. (2014). Economic Production Quantity (EPQ) Models under An Imperfect Production Process with Shortages Backordered. International Journal of System Science, 47(4), 852-867.
  • Huang, Y., Huang, G. Q., ve Newman, S. T. (2011). Coordinating Pricing and Inventory Decisions in A Multi-Level Supply Chain: A Game-Theoretic Approach. Transportation Research Part E: Logistics and Transportation Review, 47(2), 115–129.
  • Jain, S., Tiwari, S., Cárdenas-Barrón, L. E., SHAIKH, A. A., ve SINGH, S. R. (2018). A Fuzzy Imperfect Production and Repair Inventory Model with Time Dependent Demand, Production and Repair Rates under Inflationary Conditions. RAIRO-Operations Research, 52(1), 217-239.
  • Jamal, A. M. M., Sarker, B. R., ve Mondal, S. (2004). Optimal Manufacturing Batch Size with Rework Process at A Single-Stage Production System. Computers and Industrial Engineering, 47(1), 77-89.
  • Koçer, U. U., ve Yalçin, B. (2013). Bir Stokastik Model Olarak Bozulabilir Envanter Problemi: Literatür Araştırması. Dokuz Eylül Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, 28(1), 119-144.
  • Lau, H.-S., Lau, A. H.-L., ve Kottas, J. F. (2001). Pricing/inventory Decisions and Profit Shares in A Non-Integrated Marketing Channel for A Single-Period Product. Journal of the Operational Research Society, 52(6), 682–690.
  • Moussawi-Haidar, L., Salameh, M., ve Nasr, W. (2016). Production Lot Sizing with Quality Screening and Rework. Applied Mathematical Modelling, 40, 3242-3256.
  • Öztürk, H. (2017). A Note on “Production Lot Sizing with Quality Screening and Rework”. Applied Mathematical Modelling, 43, 659-669.
  • Parlar, M., ve Weng, Z. K. (2006). Coordinating Pricing and Production Decisions in The Presence of Price Competition. European Journal of Operational Research, 170, 211–227.
  • Porteus, E. L. (1986). Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction. Operations Research, 34, 137-144.
  • Rosenblatt, M. J., Lee, ve H. L. (1986). Economic Production Cycles with Imperfect Production Processes. IIE Transactions, 18(1), 48-55.
  • Ross, S. M. (1996). Stochastic Processes. Wiley, New York.
  • Sajadieh, M. S., ve Jokar, M. R. A. (2009). Optimizing Shipment, Ordering and Pricing Policies in A Two-Stage Supply Chain with Price-Sensitive Demand. Transportation Research Part E: Logistics and Transportation Review, 45(4), 564–571.
  • San-josé, L. A., Sicilia, J., ve Alcaide-López-de-Pablo, D. (2018). An Inventory System with Demand Dependent on Both Time and Price Assuming Backlogged Shortages. European Journal of Operational Research, 270(3), 889-897.
  • Sarkar, B., Cárdenas-Barrón, L. E., Sarkar, M., ve Singgih, M. K. (2014). An Economic Production Quantity Model with Random Defective Rate, Rework Process and Backorders for A Single Stage Production System. Journal of Manufacturing Systems, 33, 423–435.
  • Shah, N. H., Patel, D. G., ve Shah, D. B. (2018). EPQ Model for Returned/Reworked Inventories During Imperfect Production Process under Price-Sensitive Stock-Dependent Demand. Operational Research: An International Journal, 18(2), 343-359.
  • Shi, J., Zhang, G., ve Lai, K. K. (2012). Optimal Ordering and Pricing Policy with Supplier Quantity Discounts and Price-Dependent Stochastic Demand. Optimization, 61(2), 151-162.
  • Taft, E. W. (1918). The Most Economical Production Lot. Iron Age, 101, 1410-1412.
  • Taleizadeh, A. A., Kalantari, S. S., ve Cárdenas-Barrón, L. E. (2016). Pricing and Lot Sizing for An EPQ Inventory Model with Rework and Multiple Shipments. TOP, 24, 143-155.
  • Taleizadeh, A. A., Yadegari, M., ve Sana, S. (2019). Production Models of Multiple Products Using Single Machine under Quality Screening and Reworking Policies. Journal of Modelling in Management, 14(1), 232-259.
  • Ulucan, A. (2004). Yöneylem Araştırması (İşletmecilik Uygulamalı ve Bilgisayar Destekli Modelleme). Siyasal Kitabevi, Ankara.
Toplam 34 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Makaleler
Yazarlar

Harun Öztürk 0000-0003-0193-6663

Yayımlanma Tarihi 30 Eylül 2019
Gönderilme Tarihi 9 Mart 2019
Kabul Tarihi 7 Kasım 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 34 Sayı: 3

Kaynak Göster

APA Öztürk, H. (2019). Fiyat-Duyarlı Talep ve Tarama Kısıtı ile Bir Ekonomik Üretim Miktarı Modeli. İzmir İktisat Dergisi, 34(3), 413-430. https://doi.org/10.24988/ije.2019343843

İzmir İktisat Dergisi
TR-DİZİN, DOAJ, EBSCO, ERIH PLUS, Index Copernicus, Ulrich’s Periodicals Directory, EconLit, Harvard Hollis, Google Scholar, OAJI, SOBIAD, CiteFactor, OJOP, Araştırmax, WordCat, OpenAIRE, Base, IAD, Academindex
tarafından taranmaktadır.

Dokuz Eylül Üniversitesi Yayınevi Web Sitesi
https://kutuphane.deu.edu.tr/yayinevi/

Dergi İletişim Bilgileri Sayfası
https://dergipark.org.tr/tr/pub/ije/contacts


İZMİR İKTİSAT DERGİSİ 2022 yılı 37. cilt 1. sayı ile birlikte sadece elektronik olarak yayınlanmaya başlamıştır.