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Evaluating the shape and the mid-cross-aisle location in a multi-dock unitload warehouse design

Yıl 2022, Cilt: 28 Sayı: 1, 183 - 193, 28.02.2022

Öz

In recent years, thousands of products are ordered by online every day with the development of e-commerce and customers expect their orders to be delivered on the same day or the following day despite the significant increase in the number orders. This expectation in delivery times, becoming one of the most important factors that affect customer satisfaction, reveals the requirement of effective and efficient operations in warehouses to deliver orders to customers on time. In warehouses, the most time is spent in storing/retrieving products on/from shelves (storage and retrieval). The expected distances traveled for storing and retrieving vary depending on the warehouse design, the mid-cross-aisle location and operation type. In this study, mathematical formulations of expected distances for single-command, dual-command and cross-docking operations are developed in a discrete storage space. A nonlinear-integer programming model is developed for mixed-command operations by using discrete formulations developed and the optimization model is solved for two different scenarios. As a result, considering the effect on expected travel distance of the warehouse design, the mid-cross-aisle location and the operation type, the optimal location of the mid-cross aisle and warehouse design are determined in a unit-load warehouse having multiple dock doors along two adjacent walls.

Kaynakça

  • [1] Tompkins JA, White JA, Bozer YA, Tanchoco JMA. Facilities planning, 4th ed. New York, NY, John Wiley & Sons, 2010.
  • [2] Bartholdi JJ, Hackman ST. Warehouse & Distribution Science, Release 0.98.1. Atlanta, GA, Supply Chain and Logistics Institute, 2019.
  • [3] Drury J. “Towards More Efficient Order Picking”. IMM Monograph Report. Cranfield, UK, 1, 1988.
  • [4] Ertek G. “Çapraz sevkiyat için temel bilgiler”. Lojistik Dergisi, 13, 22-27, 2010.
  • [5] Tutam M, White JA. “A multi-dock, unit-load warehouse design”. IISE Transactions, 51(3), 232-247, 2019.
  • [6] Tutam M, White JA. “Multi-dock unit-load warehouse designs with a cross-aisle”. Transportation Research Part E: Logistics and Transportation Review, 129, 247-262, 2019.
  • [7] Öztürkoğlu Ö, Kocaman Y, Gümüşoğlu Ş. “Evaluating Chevron aisle design in unit load warehouses with multiple pickup and deposit points”. Journal of the Faculty of Engineering and Architecture of Gazi University, 33(3), 793-807, 2018.
  • [8] Cahn AS. “The warehouse problem”. Bulletin of the American Mathematical Society, 54(11), 1073-1073, 1948.
  • [9] Charnes A, Cooper WW. “Generalizations of the warehousing model”. Operations Research, 6(4), 131-172, 1955.
  • [10] Bellman R. “On the theory of dynamic programming-a warehousing problem”. Management Science, 2(3), 272-275, 1956.
  • [11] Dreyfus SE. “An analytic solution of the warehouse problem”. Management Science, 4(1), 99-104, 1957.
  • [12] Mayer HE. “Storage and retrieval of material”. The Western Electric Engineer, 5(1), 42-48, 1961.
  • [13] Malmborg CJ, Balachandran S, Kyle DM. “A model based evaluation of a commonly used rule of thumb for warehouse layout”. Applied Mathematical Modeling, 10(2), 133-138, 1986.
  • [14] Malmborg CJ, Krishnakumar B. “On the optimality of the cube per order index for conventional warehouses with dual command cycles”. Material Flow, 4(3), 169-175, 1987.
  • [15] Malmborg CJ, Krishnakumar B. “A revised proof of optimality for the cube-per-order index rule for stored item location”. Applied Mathematical Modeling, 14(2), 87-95, 1990.
  • [16] Moder JJ, Thornton HM. “Quantitative analysis of factors affecting floorspace utilization of palletized storage”. Journal of Industrial Engineering, 16(1), 8-18, 1965.
  • [17] Francis RL. “On some problems of rectangular warehouse design and layout”. Journal of Industrial Engineering, 18(10), 595-604, 1967.
  • [18] Francis RL. “Sufficient conditions for some optimumproperty facility designs”. Operations Research, 15(3), 448-466, 1967.
  • [19] Berry JR. “Elements of warehouse layout”. International Journal of Production Research, 7(2), 105-121, 1968.
  • [20] White JA, Francis RL. “Normative models for some warehouse sizing problems”. AIIE Transactions, 3(3), 185-190, 1971.
  • [21] White JA. “Optimum design of warehouses having radial aisles”. AIIE Transactions, 4(4), 333-336, 1972.
  • [22] Mallette AJ, Francis RL. “A generalized assignment approach to optimal facility layout”. AIIE Transactions, 4(2), 144-147, 1972.
  • [23] Francis RL, White JA. Facility Layout and Location: An Analytic Approach. 1st ed. New Jersey, USA, Prentice-Hall Inc., 1974.
  • [24] Bassan Y, Roll Y, Rosenblatt MJ. “Internal layout design of a warehouse”. AIIE Transactions, 12(4), 317-322, 1980.
  • [25] Ratliff HD, Rosenthal AS. “Order-picking in a rectangular warehouse: a solvable case of the traveling salesman problem”. Operations Research, 31(3), 507-521, 1983.
  • [26] Goetschalckx M, Ratliff HD. “An efficient algorithm to cluster order picking items in a wide aisle”. Engineering Costs and Production Economics, 13(4), 263-271, 1988.
  • [27] Goetschalckx M, Ratliff HD. “Order picking in an aisle”. IIE Transactions, 20(1), 53-62, 1988.
  • [28] Rana K. “Order picking in narrow‐aisle warehouses”. International Journal of Physical Distribution & Logistics Management, 20(2), 9-15, 1990.
  • [29] De Koster R, van der Poort E. “Routing order pickers in a warehouse: a comparison between optimal and heuristic solutions”. IIE Transactions, 30(5), 469-480, 1998.
  • [30] Roodbergen KJ, De Koster R. “Routing order pickers in a warehouse with a middle aisle”. European Journal of Operations Research, 133(1), 32-43, 2001.
  • [31] Roodbergen KJ, De Koster R. “Routing methods for warehouses with multiple cross aisles”. International Journal of Production Research, 39(9), 1865-1883, 2001.
  • [32] Yiğit F, Güner E. “Otomatik yönlendirmeli araç (oya) sistemleri ve depo bakımında rotalama problem”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, 9(2), 269-277, 2003.
  • [33] Gue KR, Meller RD. “Improving the unit-load warehouse”. Progress in Material Handling Research, Salt Lake City, Utah, USA, 11-16 June 2006.
  • [34] Pohl LM, Meller RD, Gue KR. “An evaluation of two new warehouse aisle designs for dual-command travel”. Proceedings of the 2007 Industrial Engineering Research Conference, Nashville, Tennessee, USA, 19-23 May 2007.
  • [35] Gue KR, Meller RD. “Aisle configurations for unit-load warehouses”. IIE Transactions, 41(3), 171-182, 2009.
  • [36] Pohl LM, Meller RD, Gue KR. “Optimizing fishbone aisles for dual-command operations in a warehouse”. Naval Research Logistics, 56(5), 389-403, 2009.
  • [37] Pohl LM, Meller RD, Gue KR. “Turnover-based storage in non-traditional unit-load warehouse designs”. IIE Transactions, 43(10), 703-720, 2011.
  • [38] Gue KR, Ivanovic` G, Meller RD. “A unit-load warehouse with multiple pickup and deposit points and non-traditional aisles”. Transportation Research Part E: Logistics and Transportation Review, 48(4), 795-806, 2012.
  • [39] Cardona LF, Rivera L, Martínez HJ. “Analytical study of the fishbone warehouse layout”. International Journal of Logistics Research and Applications, 15(6), 365-388, 2012.
  • [40] Öztürkoǧlu Ö, Gue KR, Meller RD. “Optimal unit-load warehouse designs for single-command operations”. IIE Transactions, 44(6), 459-475, 2012.
  • [41] Jiang MX, Feng DZ, Zhao YL, Yu MF. “Optimization of logistics warehouse layout based on the improved Fishbone layout”. Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice, 33(11), 2920-2929, 2013.
  • [42] Clark KA, Meller RD. “Incorporating vertical travel into non-traditional cross-aisles for unit-load warehouse designs”. IIE Transactions, 45(12), 1322-1331, 2013.
  • [43] Öztürkoğlu Ö, Gue KR, Meller RD. “A constructive aisle design model for unit-load warehouses with multiple pickup and deposit points”. European Journal of Operations Research, 236, 382-394, 2014.
  • [44] Cardona LF, Diego FS, Rivera L, Martínez HJ. “Detailed design of fishbone warehouse layouts with vertical travel". International Journal of Production Economics, 170, 825-837, 2015.
  • [45] Bortolini M, Faccio M, Ferrari E, Gamberi M, Pilati F. “Design of diagonal cross-aisle warehouses with classbased storage assignment strategy”. The International Journal of Advanced Manufacturing Technology, 100, 2521-2536, 2019.
  • [46] Bortolini M, Galizia FG, Gamberi M, Gualano F. “Integration of single and dual command operations in non-traditional warehouse design”. The International Journal of Advanced Manufacturing Technology, 111, 2461-2473, 2020.
  • [47] Bortolini M, Galizia FG, Gamberi M, Gualano F, Naldi LD. Non-Conventional Warehouses: Comparison of the Handling Performances. Editors: Scholz SG, Howlett RJ, Setchi R. Sustainable Design and Manufacturing 2020, 193-203, Singapore, Springer, 2021.
  • [48] Kocaman Y, Öztürkoğlu, Ö, Gümüşoğlu Ş. “Aisle designs in unit-load warehouses with different flow policies of multiple pickup and deposit points”. Central European Journal of Operations Research, 29(1), 323-355, 2021.
  • [49] Pohl LM, Meller RD, Gue KR. “An analysis of dualcommand operations in common warehouse designs”. Transportation Research Part E: Logistics and Transportation Review, 45(3), 367-379, 2009.
  • [50] Berglund P, Batta R. “Optimal placement of warehouse cross-aisles in a picker-to-part warehouse with classbased storage”. IIE Transactions, 44(2), 107-120, 2012.
  • [51] Thomas LM, Meller RD. “Analytical models for warehouse configuration”. IIE Transactions, 46(9), 928-947, 2014.
  • [52] Toktaş-Palut P, Okçuoğlu F. “Depo tasarımı ve yerleşimi: bir gerçek hayat uygulaması”. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, 12(2), 14-22, 2019.
  • [53] Ang M, Lim YF. “How to optimize storage classes in a unitload warehouse”. European Journal of Operational Research, 278, 186-201, 2019.
  • [54] Cardona LF, Gue KR. “How to determine slot sizes in a unitload warehouse”. IISE Transactions, 51(4), 355-367, 2019.
  • [55] Cardona LF, Gue KR. “Layouts of unit-load warehouses with multiple slot heights”. Transportation Science, 54(5), 1332-1350, 2020.

Çok-Kapılı bir birim-yük depo tasarımında şekil ve orta-çapraz koridor konumunun değerlendirilmesi

Yıl 2022, Cilt: 28 Sayı: 1, 183 - 193, 28.02.2022

Öz

Son yıllarda, e-ticaretin gelişmesi ile her gün binlerce ürün sipariş verilmekte ve sipariş sayısındaki bu ciddi artışa rağmen müşteriler verdikleri siparişlerin aynı-gün veya ertesi-gün teslim edilmelerini beklemektedirler. Müşteri memnuniyetini etkileyen en önemli unsurlardan biri haline gelen teslimat süresindeki bu beklenti verdikleri siparişlerin müşterilere zamanında ulaştırılmaları için depolardaki operasyonların etkili ve verimli bir şekilde yürütülmesi gerekliliğini ortaya çıkarmıştır. Depolarda en fazla zaman birim yüklerin raflara yerleştirilmesi ve raflardan toplanması için harcanmaktadır (depolama ve boşaltma). Depolama ve boşaltma için kat edilen seyahat mesafeleri deponun tasarımına, orta-çapraz koridor konumuna ve operasyon türüne bağlı olarak değişmektedir. Bu çalışmada, tek-komut, çift-komut ve çapraz-sevkiyat operasyonlarının beklenen seyahat mesafeleri için ayrık depo uzayında matematiksel formülasyonlar geliştirilmiştir. Geliştirilen kesikli formüller kullanılarak karma-komut operasyonlar için bir tamsayılı doğrusal olmayan programlama modeli oluşturulmuş ve oluşturulan optimizasyon modeli iki farklı senaryo için çözülmüştür. Sonuç olarak, depo tasarımının, orta çapraz koridor konumunun ve operasyon türünün beklenen seyahat mesafesi üzerindeki etkisi değerlendirilerek, iki bitişik duvar boyunca birden fazla kapıya sahip bir birim-yük depo tasarımında optimum orta-çapraz koridor konumu ve depo tasarımı belirlenmiştir.

Kaynakça

  • [1] Tompkins JA, White JA, Bozer YA, Tanchoco JMA. Facilities planning, 4th ed. New York, NY, John Wiley & Sons, 2010.
  • [2] Bartholdi JJ, Hackman ST. Warehouse & Distribution Science, Release 0.98.1. Atlanta, GA, Supply Chain and Logistics Institute, 2019.
  • [3] Drury J. “Towards More Efficient Order Picking”. IMM Monograph Report. Cranfield, UK, 1, 1988.
  • [4] Ertek G. “Çapraz sevkiyat için temel bilgiler”. Lojistik Dergisi, 13, 22-27, 2010.
  • [5] Tutam M, White JA. “A multi-dock, unit-load warehouse design”. IISE Transactions, 51(3), 232-247, 2019.
  • [6] Tutam M, White JA. “Multi-dock unit-load warehouse designs with a cross-aisle”. Transportation Research Part E: Logistics and Transportation Review, 129, 247-262, 2019.
  • [7] Öztürkoğlu Ö, Kocaman Y, Gümüşoğlu Ş. “Evaluating Chevron aisle design in unit load warehouses with multiple pickup and deposit points”. Journal of the Faculty of Engineering and Architecture of Gazi University, 33(3), 793-807, 2018.
  • [8] Cahn AS. “The warehouse problem”. Bulletin of the American Mathematical Society, 54(11), 1073-1073, 1948.
  • [9] Charnes A, Cooper WW. “Generalizations of the warehousing model”. Operations Research, 6(4), 131-172, 1955.
  • [10] Bellman R. “On the theory of dynamic programming-a warehousing problem”. Management Science, 2(3), 272-275, 1956.
  • [11] Dreyfus SE. “An analytic solution of the warehouse problem”. Management Science, 4(1), 99-104, 1957.
  • [12] Mayer HE. “Storage and retrieval of material”. The Western Electric Engineer, 5(1), 42-48, 1961.
  • [13] Malmborg CJ, Balachandran S, Kyle DM. “A model based evaluation of a commonly used rule of thumb for warehouse layout”. Applied Mathematical Modeling, 10(2), 133-138, 1986.
  • [14] Malmborg CJ, Krishnakumar B. “On the optimality of the cube per order index for conventional warehouses with dual command cycles”. Material Flow, 4(3), 169-175, 1987.
  • [15] Malmborg CJ, Krishnakumar B. “A revised proof of optimality for the cube-per-order index rule for stored item location”. Applied Mathematical Modeling, 14(2), 87-95, 1990.
  • [16] Moder JJ, Thornton HM. “Quantitative analysis of factors affecting floorspace utilization of palletized storage”. Journal of Industrial Engineering, 16(1), 8-18, 1965.
  • [17] Francis RL. “On some problems of rectangular warehouse design and layout”. Journal of Industrial Engineering, 18(10), 595-604, 1967.
  • [18] Francis RL. “Sufficient conditions for some optimumproperty facility designs”. Operations Research, 15(3), 448-466, 1967.
  • [19] Berry JR. “Elements of warehouse layout”. International Journal of Production Research, 7(2), 105-121, 1968.
  • [20] White JA, Francis RL. “Normative models for some warehouse sizing problems”. AIIE Transactions, 3(3), 185-190, 1971.
  • [21] White JA. “Optimum design of warehouses having radial aisles”. AIIE Transactions, 4(4), 333-336, 1972.
  • [22] Mallette AJ, Francis RL. “A generalized assignment approach to optimal facility layout”. AIIE Transactions, 4(2), 144-147, 1972.
  • [23] Francis RL, White JA. Facility Layout and Location: An Analytic Approach. 1st ed. New Jersey, USA, Prentice-Hall Inc., 1974.
  • [24] Bassan Y, Roll Y, Rosenblatt MJ. “Internal layout design of a warehouse”. AIIE Transactions, 12(4), 317-322, 1980.
  • [25] Ratliff HD, Rosenthal AS. “Order-picking in a rectangular warehouse: a solvable case of the traveling salesman problem”. Operations Research, 31(3), 507-521, 1983.
  • [26] Goetschalckx M, Ratliff HD. “An efficient algorithm to cluster order picking items in a wide aisle”. Engineering Costs and Production Economics, 13(4), 263-271, 1988.
  • [27] Goetschalckx M, Ratliff HD. “Order picking in an aisle”. IIE Transactions, 20(1), 53-62, 1988.
  • [28] Rana K. “Order picking in narrow‐aisle warehouses”. International Journal of Physical Distribution & Logistics Management, 20(2), 9-15, 1990.
  • [29] De Koster R, van der Poort E. “Routing order pickers in a warehouse: a comparison between optimal and heuristic solutions”. IIE Transactions, 30(5), 469-480, 1998.
  • [30] Roodbergen KJ, De Koster R. “Routing order pickers in a warehouse with a middle aisle”. European Journal of Operations Research, 133(1), 32-43, 2001.
  • [31] Roodbergen KJ, De Koster R. “Routing methods for warehouses with multiple cross aisles”. International Journal of Production Research, 39(9), 1865-1883, 2001.
  • [32] Yiğit F, Güner E. “Otomatik yönlendirmeli araç (oya) sistemleri ve depo bakımında rotalama problem”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, 9(2), 269-277, 2003.
  • [33] Gue KR, Meller RD. “Improving the unit-load warehouse”. Progress in Material Handling Research, Salt Lake City, Utah, USA, 11-16 June 2006.
  • [34] Pohl LM, Meller RD, Gue KR. “An evaluation of two new warehouse aisle designs for dual-command travel”. Proceedings of the 2007 Industrial Engineering Research Conference, Nashville, Tennessee, USA, 19-23 May 2007.
  • [35] Gue KR, Meller RD. “Aisle configurations for unit-load warehouses”. IIE Transactions, 41(3), 171-182, 2009.
  • [36] Pohl LM, Meller RD, Gue KR. “Optimizing fishbone aisles for dual-command operations in a warehouse”. Naval Research Logistics, 56(5), 389-403, 2009.
  • [37] Pohl LM, Meller RD, Gue KR. “Turnover-based storage in non-traditional unit-load warehouse designs”. IIE Transactions, 43(10), 703-720, 2011.
  • [38] Gue KR, Ivanovic` G, Meller RD. “A unit-load warehouse with multiple pickup and deposit points and non-traditional aisles”. Transportation Research Part E: Logistics and Transportation Review, 48(4), 795-806, 2012.
  • [39] Cardona LF, Rivera L, Martínez HJ. “Analytical study of the fishbone warehouse layout”. International Journal of Logistics Research and Applications, 15(6), 365-388, 2012.
  • [40] Öztürkoǧlu Ö, Gue KR, Meller RD. “Optimal unit-load warehouse designs for single-command operations”. IIE Transactions, 44(6), 459-475, 2012.
  • [41] Jiang MX, Feng DZ, Zhao YL, Yu MF. “Optimization of logistics warehouse layout based on the improved Fishbone layout”. Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice, 33(11), 2920-2929, 2013.
  • [42] Clark KA, Meller RD. “Incorporating vertical travel into non-traditional cross-aisles for unit-load warehouse designs”. IIE Transactions, 45(12), 1322-1331, 2013.
  • [43] Öztürkoğlu Ö, Gue KR, Meller RD. “A constructive aisle design model for unit-load warehouses with multiple pickup and deposit points”. European Journal of Operations Research, 236, 382-394, 2014.
  • [44] Cardona LF, Diego FS, Rivera L, Martínez HJ. “Detailed design of fishbone warehouse layouts with vertical travel". International Journal of Production Economics, 170, 825-837, 2015.
  • [45] Bortolini M, Faccio M, Ferrari E, Gamberi M, Pilati F. “Design of diagonal cross-aisle warehouses with classbased storage assignment strategy”. The International Journal of Advanced Manufacturing Technology, 100, 2521-2536, 2019.
  • [46] Bortolini M, Galizia FG, Gamberi M, Gualano F. “Integration of single and dual command operations in non-traditional warehouse design”. The International Journal of Advanced Manufacturing Technology, 111, 2461-2473, 2020.
  • [47] Bortolini M, Galizia FG, Gamberi M, Gualano F, Naldi LD. Non-Conventional Warehouses: Comparison of the Handling Performances. Editors: Scholz SG, Howlett RJ, Setchi R. Sustainable Design and Manufacturing 2020, 193-203, Singapore, Springer, 2021.
  • [48] Kocaman Y, Öztürkoğlu, Ö, Gümüşoğlu Ş. “Aisle designs in unit-load warehouses with different flow policies of multiple pickup and deposit points”. Central European Journal of Operations Research, 29(1), 323-355, 2021.
  • [49] Pohl LM, Meller RD, Gue KR. “An analysis of dualcommand operations in common warehouse designs”. Transportation Research Part E: Logistics and Transportation Review, 45(3), 367-379, 2009.
  • [50] Berglund P, Batta R. “Optimal placement of warehouse cross-aisles in a picker-to-part warehouse with classbased storage”. IIE Transactions, 44(2), 107-120, 2012.
  • [51] Thomas LM, Meller RD. “Analytical models for warehouse configuration”. IIE Transactions, 46(9), 928-947, 2014.
  • [52] Toktaş-Palut P, Okçuoğlu F. “Depo tasarımı ve yerleşimi: bir gerçek hayat uygulaması”. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, 12(2), 14-22, 2019.
  • [53] Ang M, Lim YF. “How to optimize storage classes in a unitload warehouse”. European Journal of Operational Research, 278, 186-201, 2019.
  • [54] Cardona LF, Gue KR. “How to determine slot sizes in a unitload warehouse”. IISE Transactions, 51(4), 355-367, 2019.
  • [55] Cardona LF, Gue KR. “Layouts of unit-load warehouses with multiple slot heights”. Transportation Science, 54(5), 1332-1350, 2020.
Toplam 55 adet kaynakça vardır.

Ayrıntılar

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

Mahmut Tutam Bu kişi benim

Yayımlanma Tarihi 28 Şubat 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 28 Sayı: 1

Kaynak Göster

APA Tutam, M. (2022). Çok-Kapılı bir birim-yük depo tasarımında şekil ve orta-çapraz koridor konumunun değerlendirilmesi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, 28(1), 183-193.
AMA Tutam M. Çok-Kapılı bir birim-yük depo tasarımında şekil ve orta-çapraz koridor konumunun değerlendirilmesi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. Şubat 2022;28(1):183-193.
Chicago Tutam, Mahmut. “Çok-Kapılı Bir Birim-yük Depo tasarımında şekil Ve Orta-çapraz Koridor Konumunun değerlendirilmesi”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 28, sy. 1 (Şubat 2022): 183-93.
EndNote Tutam M (01 Şubat 2022) Çok-Kapılı bir birim-yük depo tasarımında şekil ve orta-çapraz koridor konumunun değerlendirilmesi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 28 1 183–193.
IEEE M. Tutam, “Çok-Kapılı bir birim-yük depo tasarımında şekil ve orta-çapraz koridor konumunun değerlendirilmesi”, Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, c. 28, sy. 1, ss. 183–193, 2022.
ISNAD Tutam, Mahmut. “Çok-Kapılı Bir Birim-yük Depo tasarımında şekil Ve Orta-çapraz Koridor Konumunun değerlendirilmesi”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 28/1 (Şubat 2022), 183-193.
JAMA Tutam M. Çok-Kapılı bir birim-yük depo tasarımında şekil ve orta-çapraz koridor konumunun değerlendirilmesi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. 2022;28:183–193.
MLA Tutam, Mahmut. “Çok-Kapılı Bir Birim-yük Depo tasarımında şekil Ve Orta-çapraz Koridor Konumunun değerlendirilmesi”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, c. 28, sy. 1, 2022, ss. 183-9.
Vancouver Tutam M. Çok-Kapılı bir birim-yük depo tasarımında şekil ve orta-çapraz koridor konumunun değerlendirilmesi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. 2022;28(1):183-9.





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