IDEAS home Printed from https://ideas.repec.org/a/gam/jsusta/v14y2022i11p6782-d829854.html
   My bibliography  Save this article

Food Preservation within Multi-Echelon Supply Chain Considering Single Setup and Multi-Deliveries of Unequal Lot Size

Author

Listed:
  • Muhammad Waqas Iqbal

    (School of Engineering & Technology, National Textile University, Faisalabad 37610, Pakistan)

  • Muhammad Babar Ramzan

    (School of Engineering & Technology, National Textile University, Faisalabad 37610, Pakistan)

  • Asif Iqbal Malik

    (Department of Hotel and Tourism Management, Sejong University, Seoul 05006, Korea)

Abstract

Intricacy of the supply chains for deteriorating products, involving multiple retailers with unequal lot sizes and multiple deliveries is simplified in this article by optimizing the replenishment cycle, investment in preservation technology, and number of deliveries. This study proposes a multi-tier supply chain model consisting of a single manufacturer and multiple retailers. A single-setup multiple deliveries (SSMD) policy is adopted considering the synchronized cycle time of manufacturers with that of retailers and the delivery of unequal lot size for each retailer. Preservation technology is used at retailers to minimize the effects of deterioration in a way that the magnitude of decrease in deterioration reduces for additional investment in preservation technology. A centralized supply chain model is proposed by defining a nonlinear mathematical model for maximizing total profit through an analytical optimization technique and an algorithm. Numerical experiments are exhibited to validate the applications of the provided model. The results exhibit that the proposed preservation policy increases the product’s lifetime and the total profit by reducing the number of shipments/transportation and increasing the lot size. The SSMD policy helps to reduce the preservation cost and increase the total profit. Some managerial insights are provided for the decision makers for applying the proposed model.

Suggested Citation

  • Muhammad Waqas Iqbal & Muhammad Babar Ramzan & Asif Iqbal Malik, 2022. "Food Preservation within Multi-Echelon Supply Chain Considering Single Setup and Multi-Deliveries of Unequal Lot Size," Sustainability, MDPI, vol. 14(11), pages 1-30, June.
  • Handle: RePEc:gam:jsusta:v:14:y:2022:i:11:p:6782-:d:829854
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2071-1050/14/11/6782/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2071-1050/14/11/6782/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Lu, Lu, 1995. "A one-vendor multi-buyer integrated inventory model," European Journal of Operational Research, Elsevier, vol. 81(2), pages 312-323, March.
    2. Ertogral, K. & Darwish, M. & Ben-Daya, M., 2007. "Production and shipment lot sizing in a vendor-buyer supply chain with transportation cost," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1592-1606, February.
    3. Song, Yang & Fan, Tijun & Tang, Yuewu & Xu, Chang, 2021. "Omni-channel strategies for fresh produce with extra losses in-store," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 148(C).
    4. Wu, Jiang & Ouyang, Liang-Yuh & Cárdenas-Barrón, Leopoldo Eduardo & Goyal, Suresh Kumar, 2014. "Optimal credit period and lot size for deteriorating items with expiration dates under two-level trade credit financing," European Journal of Operational Research, Elsevier, vol. 237(3), pages 898-908.
    5. B.C. Giri & H. Pal & T. Maiti, 2017. "A vendor-buyer supply chain model for time-dependent deteriorating item with preservation technology investment," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 10(4), pages 431-449.
    6. Dye, Chung-Yuan & Yang, Chih-Te, 2016. "Optimal dynamic pricing and preservation technology investment for deteriorating products with reference price effects," Omega, Elsevier, vol. 62(C), pages 52-67.
    7. Chen, Jing & Dong, Ming & Xu, Lei, 2018. "A perishable product shipment consolidation model considering freshness-keeping effort," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 115(C), pages 56-86.
    8. M. Palanivel & R. Uthayakumar, 2015. "Finite horizon EOQ model for non-instantaneous deteriorating items with price and advertisement dependent demand and partial backlogging under inflation," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(10), pages 1762-1773, July.
    9. Woo, York Y. & Hsu, Shu-Lu & Wu, Soushan, 2001. "An integrated inventory model for a single vendor and multiple buyers with ordering cost reduction," International Journal of Production Economics, Elsevier, vol. 73(3), pages 203-215, October.
    10. Thomas, Douglas J. & Griffin, Paul M., 1996. "Coordinated supply chain management," European Journal of Operational Research, Elsevier, vol. 94(1), pages 1-15, October.
    11. Dye, Chung-Yuan, 2013. "The effect of preservation technology investment on a non-instantaneous deteriorating inventory model," Omega, Elsevier, vol. 41(5), pages 872-880.
    12. Wang, Wan-Chih & Teng, Jinn-Tsair & Lou, Kuo-Ren, 2014. "Seller’s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime," European Journal of Operational Research, Elsevier, vol. 232(2), pages 315-321.
    13. Wang, Shaojun & Sarker, Bhaba R., 2005. "An assembly-type supply chain system controlled by kanbans under a just-in-time delivery policy," European Journal of Operational Research, Elsevier, vol. 162(1), pages 153-172, April.
    14. Daryanto, Yosef & Wee, Hui Ming & Astanti, Ririn Diar, 2019. "Three-echelon supply chain model considering carbon emission and item deterioration," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 368-383.
    15. Ben-Daya, Mohammed & As’ad, Rami & Seliaman, Mohammed, 2013. "An integrated production inventory model with raw material replenishment considerations in a three layer supply chain," International Journal of Production Economics, Elsevier, vol. 143(1), pages 53-61.
    16. Chan, Chi Kin & Fang, Fei & Langevin, André, 2018. "Single-vendor multi-buyer supply chain coordination with stochastic demand," International Journal of Production Economics, Elsevier, vol. 206(C), pages 110-133.
    17. Chan, Chi Kin & Kingsman, Brian G., 2007. "Coordination in a single-vendor multi-buyer supply chain by synchronizing delivery and production cycles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(2), pages 90-111, March.
    18. Yang, P. C. & Wee, H. M., 2002. "A single-vendor and multiple-buyers production-inventory policy for a deteriorating item," European Journal of Operational Research, Elsevier, vol. 143(3), pages 570-581, December.
    19. Shah, Nita H & Soni, Hardik N & Patel, Kamlesh A, 2013. "Optimizing inventory and marketing policy for non-instantaneous deteriorating items with generalized type deterioration and holding cost rates," Omega, Elsevier, vol. 41(2), pages 421-430.
    20. Skouri, K. & Konstantaras, I. & Papachristos, S. & Ganas, I., 2009. "Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate," European Journal of Operational Research, Elsevier, vol. 192(1), pages 79-92, January.
    21. Khouja, Moutaz, 2003. "Optimizing inventory decisions in a multi-stage multi-customer supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 39(3), pages 193-208, May.
    22. Darwish, M.A. & Odah, O.M., 2010. "Vendor managed inventory model for single-vendor multi-retailer supply chains," European Journal of Operational Research, Elsevier, vol. 204(3), pages 473-484, August.
    23. Sajadieh, Mohsen S. & Fallahnezhad, Mohammad Saber & Khosravi, Maryam, 2013. "A joint optimal policy for a multiple-suppliers multiple-manufacturers multiple-retailers system," International Journal of Production Economics, Elsevier, vol. 146(2), pages 738-744.
    24. Yang, P.C. & Chung, S.L. & Wee, H.M. & Zahara, E. & Peng, C.Y., 2013. "Collaboration for a closed-loop deteriorating inventory supply chain with multi-retailer and price-sensitive demand," International Journal of Production Economics, Elsevier, vol. 143(2), pages 557-566.
    25. Cárdenas-Barrón, Leopoldo Eduardo, 2007. "Optimizing inventory decisions in a multi-stage multi-customer supply chain: A note," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(5), pages 647-654, September.
    26. Qin, Yiyan & Wang, Jianjun & Wei, Caimin, 2014. "Joint pricing and inventory control for fresh produce and foods with quality and physical quantity deteriorating simultaneously," International Journal of Production Economics, Elsevier, vol. 152(C), pages 42-48.
    27. Goyal, Suresh K. & Nebebe, Fassil, 2000. "Determination of economic production-shipment policy for a single-vendor-single-buyer system," European Journal of Operational Research, Elsevier, vol. 121(1), pages 175-178, February.
    28. Goyal, S. K., 1995. "A one-vendor multi-buyer integrated inventory model: A comment," European Journal of Operational Research, Elsevier, vol. 82(1), pages 209-210, April.
    29. Hsu, P.H. & Wee, H.M. & Teng, H.M., 2010. "Preservation technology investment for deteriorating inventory," International Journal of Production Economics, Elsevier, vol. 124(2), pages 388-394, April.
    30. Hill, Roger M., 1997. "The single-vendor single-buyer integrated production-inventory model with a generalised policy," European Journal of Operational Research, Elsevier, vol. 97(3), pages 493-499, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Glock, Christoph H., 2012. "The joint economic lot size problem: A review," International Journal of Production Economics, Elsevier, vol. 135(2), pages 671-686.
    2. Beullens, Patrick & Ghiami, Yousef, 2022. "Waste reduction in the supply chain of a deteriorating food item – Impact of supply structure on retailer performance," European Journal of Operational Research, Elsevier, vol. 300(3), pages 1017-1034.
    3. Sarmah, S.P. & Acharya, D. & Goyal, S.K., 2006. "Buyer vendor coordination models in supply chain management," European Journal of Operational Research, Elsevier, vol. 175(1), pages 1-15, November.
    4. B. C. Giri & A. Chakraborty & T. Maiti, 2017. "Effectiveness of consignment stock policy in a three-level supply chain," Operational Research, Springer, vol. 17(1), pages 39-66, April.
    5. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    6. YuJan Shen & KuanFu Shen & ChihTe Yang, 2019. "A Production Inventory Model for Deteriorating Items with Collaborative Preservation Technology Investment Under Carbon Tax," Sustainability, MDPI, vol. 11(18), pages 1-18, September.
    7. Ben-Daya, M. & Darwish, M. & Ertogral, K., 2008. "The joint economic lot sizing problem: Review and extensions," European Journal of Operational Research, Elsevier, vol. 185(2), pages 726-742, March.
    8. Sebatjane, Makoena, 2022. "The impact of preservation technology investments on lot-sizing and shipment strategies in a three-echelon food supply chain involving growing and deteriorating items," Operations Research Perspectives, Elsevier, vol. 9(C).
    9. Ben-Daya, Mohammed & As’ad, Rami & Seliaman, Mohammed, 2013. "An integrated production inventory model with raw material replenishment considerations in a three layer supply chain," International Journal of Production Economics, Elsevier, vol. 143(1), pages 53-61.
    10. Roy, Arpita & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2012. "Optimal replenishment order for uncertain demand in three layer supply chain," Economic Modelling, Elsevier, vol. 29(6), pages 2274-2282.
    11. Sarkar, Biswajit & Ganguly, Baishakhi & Sarkar, Mitali & Pareek, Sarla, 2016. "Effect of variable transportation and carbon emission in a three-echelon supply chain model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 91(C), pages 112-128.
    12. Kaya, Onur & Kubalı, Deniz & Örmeci, Lerzan, 2013. "A coordinated production and shipment model in a supply chain," International Journal of Production Economics, Elsevier, vol. 143(1), pages 120-131.
    13. Bylka, Stanislaw, 2009. "Non-cooperative strategies for production and shipments lot sizing in the vendor-buyer system," International Journal of Production Economics, Elsevier, vol. 118(1), pages 243-252, March.
    14. Zhou, Yong-Wu & Wang, Sheng-Dong, 2007. "Optimal production and shipment models for a single-vendor-single-buyer integrated system," European Journal of Operational Research, Elsevier, vol. 180(1), pages 309-328, July.
    15. Juman, Z.A.M.S. & Hoque, M.A., 2014. "A heuristic solution technique to attain the minimal total cost bounds of transporting a homogeneous product with varying demands and supplies," European Journal of Operational Research, Elsevier, vol. 239(1), pages 146-156.
    16. Abdul-Jalbar, Beatriz & Gutierrez, Jose M. & Sicilia, Joaquin, 2007. "An integrated inventory model for the single-vendor two-buyer problem," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 246-258, July.
    17. Sucky, Eric, 2005. "Inventory management in supply chains: A bargaining problem," International Journal of Production Economics, Elsevier, vol. 93(1), pages 253-262, January.
    18. K. F. Mary Latha & M. Ganesh Kumar & R. Uthayakumar, 2021. "Two echelon economic lot sizing problems with geometric shipment policy backorder price discount and optimal investment to reduce ordering cost," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 1133-1163, December.
    19. Sana, Shib Sankar, 2012. "A collaborating inventory model in a supply chain," Economic Modelling, Elsevier, vol. 29(5), pages 2016-2023.
    20. Sajadieh, Mohsen S. & Fallahnezhad, Mohammad Saber & Khosravi, Maryam, 2013. "A joint optimal policy for a multiple-suppliers multiple-manufacturers multiple-retailers system," International Journal of Production Economics, Elsevier, vol. 146(2), pages 738-744.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jsusta:v:14:y:2022:i:11:p:6782-:d:829854. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.