Araştırma Makalesi
BibTex RIS Kaynak Göster

Kalite kontrol, tamir ve sonradan karşılama ile üretim parti büyüklüklerinin belirlenmesi

Yıl 2022, Cilt: 28 Sayı: 4, 604 - 612, 31.08.2022

Öz

Klasik ESM ve EÜM modellerinde, tüm ürünlerin iyi kalitede olduğu varsayımı her zaman geçerli değildir. Bazı durumlarda, üretim sistemi, insan hataları ve/veya makine ve ekipmanların aşınması nedeniyle belirli miktarda kusurlu ürün üretebilir. Literatürde kaliteli kontrol ile elde edilen hatalı ürünler hurda, yeniden işlenebilir, düşük kalite vb. olarak sınıflandırılır. Genel olarak düşük kaliteli ürünler, eleme işlemi sonunda partiler halinde indirimli fiyattan satılırken, hurda ürünler ise belirli bir maliyetle envanterden çıkartılır. Ayrıca kalite kontrol süreci sonunda tamir edilebilir ürünler yeniden çalışılarak kusursuz ürünlere dönüştürülür. Çalışmamızda talebi karşılayacak kusursuz ürünleri elde etmek için üretim döneminde kalite kontrol çalışmaları yapılmaktadır. Kalan ürünler için ise üretim döneminin sonunda kalite kontrol faaliyeti başlar. Üretim sistemlerinde ön siparişe izin vermek, hem verimli üretim programları sağlar hem de işletme maliyetlerini düşürür. Bu çalışmada, tüm kusurlu ürünlerin rastgele bir oranla alınıp yeniden çalışıldığı, stoksuzluğa izin verilen bir EÜM modeli geliştirilmiştir. Model parametrelerindeki değişikliklerin optimal çözüm üzerindeki etkilerini incelemek ve uygun çözüm koşullarını elde etmek için duyarlılık analizleri de verilmektedir.

Kaynakça

  • [1] Harris FW. “How many parts to make at once”. Factory: The Magazine of Management, 38(6), 947-950, 1913.
  • [2] Taft E W. “The most economical production lot”. The Iron Age, 101, 1410-1412, 1918.
  • [3] Salameh M, Jaber M. “Economic production quantity model for items with imperfect quality”. International Journal of Production Economics, 64, 59-64, 2000.
  • [4] Hayek PA, Salameh MK. “Production lot sizing with the reworking of imperfect quality items produced”. Production Planning & Control, 12, 584-590, 2001.
  • [5] Chiu YP. “Determining the optimal lot size for the finite production model with random defective rate, the rework process, and backlogging”. Engineering Optimization, 35, 427-437, 2003.
  • [6] Chiu SP, Chiu YP. “An economic production quantity model with the rework process of repairable defective items”. Journal of Information and Optimization Sciences, 24, 569-582, 2003.
  • [7] Chan WM, Ibrahim RN, Lochert PB. “A new EPQ model: integrating lower pricing, rework and reject situations”. Production Planning & Control, 14, 588-595, 2003.
  • [8] Chiu SW, Gong DC. “Determining the optimal lot size for the finite production model with an imperfect rework process of defective items”. Journal of Information and Optimization Sciences, 25, 105-119, 2004.
  • [9] Chiu SW, Gong DH, Wee H-M. “Effects of random defective rate and imperfect rework process on economic production quantity model”. Japan Journal of Industrial and Applied Mathematics, 21, 375-389, 2004.
  • [10] Jamal A, Sarker BR, Mondal S. “Optimal manufacturing batch size with rework process at a single-stage production system”. Computers Industrial Engineering, 47, 77-89, 2004.
  • [11] Chiu SW, Chiu YSP. “Mathematical modeling for production system with baglogging and failure in repair”. Journal of Scientific and Industrial Research, 65, 499-506, 2006.
  • [12] Chiu SW, Ting CK, Chiu YSP. “Optimal production lot sizing with rework, scrap rate, and service level constraint”. Mathematical and Computer Modelling, 46, 535-549, 2007.
  • [13] Chiu SW. “Optimal replenishment policy for imperfect quality emq model with rework and backlogging”. Applied Stochastic Models in Business and Industry, 23, 165-178, 2007.
  • [14] Ojha D, Sarker BR, Biswas P. “An optimal batch size for an imperfect production system with quality assurance and rework”. International Journal of Production Research, 45, 3191-3214, 2007.
  • [15] Eroglu A, Ozdemir G. “An economic order quantity model with defective items and shortages”. International Journal of Production Economics, 106, 544-549, 2007.
  • [16] Wee H, Yu J, Chen M. “Optimal inventory model for items with imperfect quality and shortage backordering”. Omega, 35, 7-11, 2007.
  • [17] Chiu SW, Wang SL, Chiu YSP. “Determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns”. European Journal of Operational Research, 180, 664-676, 2007.
  • [18] Chiu SW. “Production run time problem with machine breakdowns under ar control policy and rework”. Journal of Scientific and Industrial Research, 66, 979-988, 2007.
  • [19] Chiu SW. “An optimization problem of manufacturing systems with stochastic machine breakdown and rework process”. Applied Stochastic Models in Business and Industry, 24, 203-219, 2008.
  • [20] Chiu SW, Chen KK, Yang JC. “Optimal replenishment policy for manufacturing systems with failure in rework, backlogging and random breakdown”. Mathematical and Computer Modelling of Dynamical Systems, 15, 255-274, 2009.
  • [21] Cheng FT, Chang HH, Chiu S. W. “Economic production quantity model with backordering, rework and machine failure taking place in stock piling time”. WSEAS Transactions on Information Science and Applications, 7, 463-473, 2010.
  • [22] Chiu SW. “Robust planning in optimization for production system subject to random machine breakdown and failure in rework”. Computers Operations Research, 37, 899-908, 2010.
  • [23] Chiu YSP, Cheng FT, Chang HH. “Remarks on the optimization process of a manufacturing system with stochastic breakdown and rework”. Applied Mathematics Letters, 23, 1152-1155, 2010.
  • [24] Chiu YSP, Ting CK. “A note on “determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns”. European Journal of Operational Research, 201, 641-643, 2010.
  • [25] Ting CK, Chiu YSP, Chan CCH. “Optimal lot sizing with scrap and random breakdown occurring in backorder replenishing period”. Mathematical and Computational Applications, 16, 329-339, 2011.
  • [26] Chiu YSP, Lin HD, Chang HH. “Mathematical modeling for solving manufacturing run time problem with defective rate and random machine breakdown”. Computers and Industrial Engineering, 60, 576-584, 2011.
  • [27] Lin HD, Chiu YSP. Note on “replenishment run time problem with machine breakdown and failure in rework”. Expert Systems with Applications, 39,13070-13072, 2012.
  • [28] Chiu SW, Chou CL, Wu WK. “Optimizing replenishment policy in an EPQ-based inventory model with nonconforming items and breakdown”. Economic Modelling, 35, 330-337, 2013.
  • [29] Chiu YSP, Chang HH. “Optimal run time for EPQ model with scrap, rework and stochastic breakdowns: A note. Economic Modelling, 37, 143-148, 2014.
  • [30] Chiu SW, Liu CY, Chen, YR, Chiu YSP. “Finite production rate model with backlogging, service level constraint, rework, and random breakdown”. International Journal for Engineering Modelling, 30, 63-80, 2017.
  • [31] Chiu YSP, Chen YR, Chiu V, Chiu SW. “Joint effects of stochastic machine failure, backorder of permissible shortage, rework, and scrap on stock replenishing decision”. International Journal of Industrial Engineering Computations, 10, 263-280, 2019.
  • [32] Chiu YSP, Wu CS, Wu HY, Chiu SW. “Studying the effect of stochastic breakdowns, overtime, and rework on inventory replenishment decision”. Alexandria Engineering Journal, 60, 1627-1637, 2021.
  • [33] Chiu SW, Chen HC, Wu HY, Chiu Y-SP. “A hybrid finite production rate system featuring random breakdown and rework”. Operations Research Perspectives, 7, 1-10, 2020.
  • [34] Biswas P, Sarker BR. “Optimal batch quantity models for a lean production system with in-cycle rework and scrap”. International Journal of Production Research, 46, 6585-6610, 2008.
  • [35] Hejazi SR, Tsou JC, RastiBarzaki M. “Optimal lot size of EPQ model considering imperfect and defective products”. Journal of Industrial Engineering, International, 4, 59-68, 2008.
  • [36] Chiu SW, Chen K-K, Chang HH. “Mathematical method for expediting scrap-or-rework decision making in EPQ model with failure in repair”. Mathematical and Computational Applications, 13, 137-145, 2008.
  • [37] Cardenas-Barron LE. “Economic production quantity with rework process at a single-stage manufacturing system with planned backorders”. Computers Industrial Engineering, 57, 1105-1113, 2009.
  • [38] Krishnamoorthi S, Panayappan C. “An EPQ model with imperfect production systems with rework of regular production and sales return”. American Journal of Operations Research, 2, 225-234, 2012.
  • [39] Sivashankari C, Panayappan S. “Production inventory model with reworking of imperfect production, scrap and shortages”. International Journal of Management Science and Engineering Management, 9, 9-20, 2014.
  • [40] Sarkar B, Cardenas-Barron LE, Sarkar M, Singgih ML. “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, 2014.
  • [41] Moussawi-Haidar L, Salameh M, Nasr W. “Production lot sizing with quality screening and rework”. Applied Mathematical Modelling, 40, 3242-3256, 2016. Nobil A, Afshar-Sedigh A, Afshar-Nadjafi B. “Lot-sizing problem for a defective processing system with categorized items, backordering and pricing policy”. Journal of Revenue Pricing Management, 19, 255-265, 2020.

Production lot sizing with quality screening, rework and shortages backordered

Yıl 2022, Cilt: 28 Sayı: 4, 604 - 612, 31.08.2022

Öz

In the classic EOQ and EPQ models, the assumption that all products are of good quality is not always valid. In some cases, the production system may produce a certain amount of defective products due to human errors and/or wear of machinery and equipment. In the literature, defective products obtained with quality screening are categorized as scrap, reworkable, low quality, etc. Generally, low-quality products are sold at a reduced price in lots at the end of the selection procedure, while scrap products are eliminated from the inventory at a certain cost. Reworkable products are also reworked at the end of the quality control period and turned into good products. In our study, screening activities are carried out during the production period in order to acquire the perfect items to run into the demand. For the remaining products, screening activity begins at the end of the production period. Allowing backorder in production systems both provides efficient production schedules and reduces operating costs. In this study, an EPQ model was constructed in which all defective products are taken at coincidental and reworked, and shortages are allowed. Sensitivity analyzes are also provided to evaluate the effects of changes in design variables on the optimal solution and to obtain feasible conditions.

Kaynakça

  • [1] Harris FW. “How many parts to make at once”. Factory: The Magazine of Management, 38(6), 947-950, 1913.
  • [2] Taft E W. “The most economical production lot”. The Iron Age, 101, 1410-1412, 1918.
  • [3] Salameh M, Jaber M. “Economic production quantity model for items with imperfect quality”. International Journal of Production Economics, 64, 59-64, 2000.
  • [4] Hayek PA, Salameh MK. “Production lot sizing with the reworking of imperfect quality items produced”. Production Planning & Control, 12, 584-590, 2001.
  • [5] Chiu YP. “Determining the optimal lot size for the finite production model with random defective rate, the rework process, and backlogging”. Engineering Optimization, 35, 427-437, 2003.
  • [6] Chiu SP, Chiu YP. “An economic production quantity model with the rework process of repairable defective items”. Journal of Information and Optimization Sciences, 24, 569-582, 2003.
  • [7] Chan WM, Ibrahim RN, Lochert PB. “A new EPQ model: integrating lower pricing, rework and reject situations”. Production Planning & Control, 14, 588-595, 2003.
  • [8] Chiu SW, Gong DC. “Determining the optimal lot size for the finite production model with an imperfect rework process of defective items”. Journal of Information and Optimization Sciences, 25, 105-119, 2004.
  • [9] Chiu SW, Gong DH, Wee H-M. “Effects of random defective rate and imperfect rework process on economic production quantity model”. Japan Journal of Industrial and Applied Mathematics, 21, 375-389, 2004.
  • [10] Jamal A, Sarker BR, Mondal S. “Optimal manufacturing batch size with rework process at a single-stage production system”. Computers Industrial Engineering, 47, 77-89, 2004.
  • [11] Chiu SW, Chiu YSP. “Mathematical modeling for production system with baglogging and failure in repair”. Journal of Scientific and Industrial Research, 65, 499-506, 2006.
  • [12] Chiu SW, Ting CK, Chiu YSP. “Optimal production lot sizing with rework, scrap rate, and service level constraint”. Mathematical and Computer Modelling, 46, 535-549, 2007.
  • [13] Chiu SW. “Optimal replenishment policy for imperfect quality emq model with rework and backlogging”. Applied Stochastic Models in Business and Industry, 23, 165-178, 2007.
  • [14] Ojha D, Sarker BR, Biswas P. “An optimal batch size for an imperfect production system with quality assurance and rework”. International Journal of Production Research, 45, 3191-3214, 2007.
  • [15] Eroglu A, Ozdemir G. “An economic order quantity model with defective items and shortages”. International Journal of Production Economics, 106, 544-549, 2007.
  • [16] Wee H, Yu J, Chen M. “Optimal inventory model for items with imperfect quality and shortage backordering”. Omega, 35, 7-11, 2007.
  • [17] Chiu SW, Wang SL, Chiu YSP. “Determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns”. European Journal of Operational Research, 180, 664-676, 2007.
  • [18] Chiu SW. “Production run time problem with machine breakdowns under ar control policy and rework”. Journal of Scientific and Industrial Research, 66, 979-988, 2007.
  • [19] Chiu SW. “An optimization problem of manufacturing systems with stochastic machine breakdown and rework process”. Applied Stochastic Models in Business and Industry, 24, 203-219, 2008.
  • [20] Chiu SW, Chen KK, Yang JC. “Optimal replenishment policy for manufacturing systems with failure in rework, backlogging and random breakdown”. Mathematical and Computer Modelling of Dynamical Systems, 15, 255-274, 2009.
  • [21] Cheng FT, Chang HH, Chiu S. W. “Economic production quantity model with backordering, rework and machine failure taking place in stock piling time”. WSEAS Transactions on Information Science and Applications, 7, 463-473, 2010.
  • [22] Chiu SW. “Robust planning in optimization for production system subject to random machine breakdown and failure in rework”. Computers Operations Research, 37, 899-908, 2010.
  • [23] Chiu YSP, Cheng FT, Chang HH. “Remarks on the optimization process of a manufacturing system with stochastic breakdown and rework”. Applied Mathematics Letters, 23, 1152-1155, 2010.
  • [24] Chiu YSP, Ting CK. “A note on “determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns”. European Journal of Operational Research, 201, 641-643, 2010.
  • [25] Ting CK, Chiu YSP, Chan CCH. “Optimal lot sizing with scrap and random breakdown occurring in backorder replenishing period”. Mathematical and Computational Applications, 16, 329-339, 2011.
  • [26] Chiu YSP, Lin HD, Chang HH. “Mathematical modeling for solving manufacturing run time problem with defective rate and random machine breakdown”. Computers and Industrial Engineering, 60, 576-584, 2011.
  • [27] Lin HD, Chiu YSP. Note on “replenishment run time problem with machine breakdown and failure in rework”. Expert Systems with Applications, 39,13070-13072, 2012.
  • [28] Chiu SW, Chou CL, Wu WK. “Optimizing replenishment policy in an EPQ-based inventory model with nonconforming items and breakdown”. Economic Modelling, 35, 330-337, 2013.
  • [29] Chiu YSP, Chang HH. “Optimal run time for EPQ model with scrap, rework and stochastic breakdowns: A note. Economic Modelling, 37, 143-148, 2014.
  • [30] Chiu SW, Liu CY, Chen, YR, Chiu YSP. “Finite production rate model with backlogging, service level constraint, rework, and random breakdown”. International Journal for Engineering Modelling, 30, 63-80, 2017.
  • [31] Chiu YSP, Chen YR, Chiu V, Chiu SW. “Joint effects of stochastic machine failure, backorder of permissible shortage, rework, and scrap on stock replenishing decision”. International Journal of Industrial Engineering Computations, 10, 263-280, 2019.
  • [32] Chiu YSP, Wu CS, Wu HY, Chiu SW. “Studying the effect of stochastic breakdowns, overtime, and rework on inventory replenishment decision”. Alexandria Engineering Journal, 60, 1627-1637, 2021.
  • [33] Chiu SW, Chen HC, Wu HY, Chiu Y-SP. “A hybrid finite production rate system featuring random breakdown and rework”. Operations Research Perspectives, 7, 1-10, 2020.
  • [34] Biswas P, Sarker BR. “Optimal batch quantity models for a lean production system with in-cycle rework and scrap”. International Journal of Production Research, 46, 6585-6610, 2008.
  • [35] Hejazi SR, Tsou JC, RastiBarzaki M. “Optimal lot size of EPQ model considering imperfect and defective products”. Journal of Industrial Engineering, International, 4, 59-68, 2008.
  • [36] Chiu SW, Chen K-K, Chang HH. “Mathematical method for expediting scrap-or-rework decision making in EPQ model with failure in repair”. Mathematical and Computational Applications, 13, 137-145, 2008.
  • [37] Cardenas-Barron LE. “Economic production quantity with rework process at a single-stage manufacturing system with planned backorders”. Computers Industrial Engineering, 57, 1105-1113, 2009.
  • [38] Krishnamoorthi S, Panayappan C. “An EPQ model with imperfect production systems with rework of regular production and sales return”. American Journal of Operations Research, 2, 225-234, 2012.
  • [39] Sivashankari C, Panayappan S. “Production inventory model with reworking of imperfect production, scrap and shortages”. International Journal of Management Science and Engineering Management, 9, 9-20, 2014.
  • [40] Sarkar B, Cardenas-Barron LE, Sarkar M, Singgih ML. “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, 2014.
  • [41] Moussawi-Haidar L, Salameh M, Nasr W. “Production lot sizing with quality screening and rework”. Applied Mathematical Modelling, 40, 3242-3256, 2016. Nobil A, Afshar-Sedigh A, Afshar-Nadjafi B. “Lot-sizing problem for a defective processing system with categorized items, backordering and pricing policy”. Journal of Revenue Pricing Management, 19, 255-265, 2020.
Toplam 41 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makine Müh. / Endüstri Müh.
Yazarlar

Nigar Karagül Bu kişi benim

Abdullah Eroğlu Bu kişi benim

Yayımlanma Tarihi 31 Ağustos 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 28 Sayı: 4

Kaynak Göster

APA Karagül, N., & Eroğlu, A. (2022). Production lot sizing with quality screening, rework and shortages backordered. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, 28(4), 604-612.
AMA Karagül N, Eroğlu A. Production lot sizing with quality screening, rework and shortages backordered. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. Ağustos 2022;28(4):604-612.
Chicago Karagül, Nigar, ve Abdullah Eroğlu. “Production Lot Sizing With Quality Screening, Rework and Shortages Backordered”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 28, sy. 4 (Ağustos 2022): 604-12.
EndNote Karagül N, Eroğlu A (01 Ağustos 2022) Production lot sizing with quality screening, rework and shortages backordered. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 28 4 604–612.
IEEE N. Karagül ve A. Eroğlu, “Production lot sizing with quality screening, rework and shortages backordered”, Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, c. 28, sy. 4, ss. 604–612, 2022.
ISNAD Karagül, Nigar - Eroğlu, Abdullah. “Production Lot Sizing With Quality Screening, Rework and Shortages Backordered”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 28/4 (Ağustos 2022), 604-612.
JAMA Karagül N, Eroğlu A. Production lot sizing with quality screening, rework and shortages backordered. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. 2022;28:604–612.
MLA Karagül, Nigar ve Abdullah Eroğlu. “Production Lot Sizing With Quality Screening, Rework and Shortages Backordered”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, c. 28, sy. 4, 2022, ss. 604-12.
Vancouver Karagül N, Eroğlu A. Production lot sizing with quality screening, rework and shortages backordered. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. 2022;28(4):604-12.





Creative Commons Lisansı
Bu dergi Creative Commons Al 4.0 Uluslararası Lisansı ile lisanslanmıştır.