IDEAS home Printed from https://ideas.repec.org/a/ibn/masjnl/v10y2016i10p133.html
   My bibliography  Save this article

An Optimized Mathematical Model for Items Supplies Planning of a Logistic System

Author

Listed:
  • Mohammad Ali Nasiri Khalili
  • Mostafa Kafaei Razavi
  • Morteza Kafaee Razavi

Abstract

Items supplies planning of a logistic system is one of the major issue in operations research. In this article the aim is to determine how much of each item per month from each supplier logistics system requirements must be provided. To do this, a novel multi objective mixed integer programming mathematical model is offered for the first time. Since in logistics system, delivery on time is very important, the first objective is minimization of time in delivery on time costs (including lack and maintenance costs) and the cost of purchasing logistics system. The second objective function is minimization of the transportation supplier costs. Solving the mathematical model shows how to use the Multiple Objective Decision Making (MODM) can provide the ensuring policy and transportation logistics needed items. This model is solved with CPLEX and computational results show the effectiveness of the proposed model.

Suggested Citation

  • Mohammad Ali Nasiri Khalili & Mostafa Kafaei Razavi & Morteza Kafaee Razavi, 2016. "An Optimized Mathematical Model for Items Supplies Planning of a Logistic System," Modern Applied Science, Canadian Center of Science and Education, vol. 10(10), pages 133-133, October.
  • Handle: RePEc:ibn:masjnl:v:10:y:2016:i:10:p:133
    as

    Download full text from publisher

    File URL: https://ccsenet.org/journal/index.php/mas/article/download/58704/32822
    Download Restriction: no

    File URL: https://ccsenet.org/journal/index.php/mas/article/view/58704
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jayaraman, Vaidyanathan & Ross, Anthony, 2003. "A simulated annealing methodology to distribution network design and management," European Journal of Operational Research, Elsevier, vol. 144(3), pages 629-645, February.
    2. Bruce Hoadley & Daniel P. Heyman, 1977. "A two‐echelon inventory model with purchases, dispositions, shipments, returns and transshipments," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 24(1), pages 1-19, March.
    3. Qu, Wendy W. & Bookbinder, James H. & Iyogun, Paul, 1999. "An integrated inventory-transportation system with modified periodic policy for multiple products," European Journal of Operational Research, Elsevier, vol. 115(2), pages 254-269, June.
    4. Li, Qingwei & Savachkin, Alex, 2013. "A heuristic approach to the design of fortified distribution networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 50(C), pages 138-148.
    5. Stadtler, Hartmut, 2005. "Supply chain management and advanced planning--basics, overview and challenges," European Journal of Operational Research, Elsevier, vol. 163(3), pages 575-588, June.
    6. Chan, Felix T. S. & Chung, S. H. & Wadhwa, Subhash, 2005. "A hybrid genetic algorithm for production and distribution," Omega, Elsevier, vol. 33(4), pages 345-355, August.
    7. Kim, Jung-Ug & Kim, Yeong-Dae, 1999. "A decomposition approach to a multi-period vehicle scheduling problem," Omega, Elsevier, vol. 27(4), pages 421-430, August.
    8. Fahn, Matthias & Hadjer, Tahmina, 2015. "Optimal contracting with private military and security companies," European Journal of Political Economy, Elsevier, vol. 37(C), pages 220-240.
    9. Miranda, Pablo A. & Garrido, Rodrigo A., 2004. "Incorporating inventory control decisions into a strategic distribution network design model with stochastic demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 40(3), pages 183-207, May.
    10. Jayaraman, Vaidyanathan & Pirkul, Hasan, 2001. "Planning and coordination of production and distribution facilities for multiple commodities," European Journal of Operational Research, Elsevier, vol. 133(2), pages 394-408, January.
    11. Das, Chandrasekhar & Tyagi, Rajesh, 1997. "Role of inventory and transportation costs in determining the optimal degree of centralization," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 33(3), pages 171-179, September.
    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. Farahani, Reza Zanjirani & Elahipanah, Mahsa, 2008. "A genetic algorithm to optimize the total cost and service level for just-in-time distribution in a supply chain," International Journal of Production Economics, Elsevier, vol. 111(2), pages 229-243, February.
    2. Ali Diabat & Jean-Philippe Richard & Craig Codrington, 2013. "A Lagrangian relaxation approach to simultaneous strategic and tactical planning in supply chain design," Annals of Operations Research, Springer, vol. 203(1), pages 55-80, March.
    3. Saeid Rezaei & Amirsaman Kheirkhah, 2018. "A comprehensive approach in designing a sustainable closed-loop supply chain network using cross-docking operations," Computational and Mathematical Organization Theory, Springer, vol. 24(1), pages 51-98, March.
    4. Reza Ramezanian & Sadjad Khalesi, 2021. "Integration of multi-product supply chain network design and assembly line balancing," Operational Research, Springer, vol. 21(1), pages 453-483, March.
    5. Melo, M.T. & Nickel, S. & Saldanha-da-Gama, F., 2009. "Facility location and supply chain management - A review," European Journal of Operational Research, Elsevier, vol. 196(2), pages 401-412, July.
    6. Kayakutlu, Gulgun & Buyukozkan, Gulcin, 2011. "Assessing performance factors for a 3PL in a value chain," International Journal of Production Economics, Elsevier, vol. 131(2), pages 441-452, June.
    7. Hsu, Chaug-Ing & Li, Hui-Chieh, 2009. "An integrated plant capacity and production planning model for high-tech manufacturing firms with economies of scale," International Journal of Production Economics, Elsevier, vol. 118(2), pages 486-500, April.
    8. Kostis Taxakis & Chrissoleon Papadopoulos, 2016. "A design model and a production–distribution and inventory planning model in multi-product supply chain networks," International Journal of Production Research, Taylor & Francis Journals, vol. 54(21), pages 6436-6457, November.
    9. Devika, K. & Jafarian, A. & Nourbakhsh, V., 2014. "Designing a sustainable closed-loop supply chain network based on triple bottom line approach: A comparison of metaheuristics hybridization techniques," European Journal of Operational Research, Elsevier, vol. 235(3), pages 594-615.
    10. Hong, Jiangtao & Diabat, Ali & Panicker, Vinay V. & Rajagopalan, Sridharan, 2018. "A two-stage supply chain problem with fixed costs: An ant colony optimization approach," International Journal of Production Economics, Elsevier, vol. 204(C), pages 214-226.
    11. Mosca, Alyssa & Vidyarthi, Navneet & Satir, Ahmet, 2019. "Integrated transportation – inventory models: A review," Operations Research Perspectives, Elsevier, vol. 6(C).
    12. Turan Paksoy & Eren Özceylan & Gerhard-Wilhelm Weber, 2013. "Profit oriented supply chain network optimization," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(2), pages 455-478, March.
    13. Mula, Josefa & Peidro, David & Díaz-Madroñero, Manuel & Vicens, Eduardo, 2010. "Mathematical programming models for supply chain production and transport planning," European Journal of Operational Research, Elsevier, vol. 204(3), pages 377-390, August.
    14. Tang, Christopher S. & Davarzani, Hoda & Sarkis, Joseph, 2015. "Quantitative models for managing supply chain risks: A reviewAuthor-Name: Fahimnia, Behnam," European Journal of Operational Research, Elsevier, vol. 247(1), pages 1-15.
    15. Hsu, Chaug-Ing & Li, Hui-Chieh, 2011. "Reliability evaluation and adjustment of supply chain network design with demand fluctuations," International Journal of Production Economics, Elsevier, vol. 132(1), pages 131-145, July.
    16. Tiwari, M.K. & Raghavendra, N. & Agrawal, Shubham & Goyal, S.K., 2010. "A Hybrid Taguchi-Immune approach to optimize an integrated supply chain design problem with multiple shipping," European Journal of Operational Research, Elsevier, vol. 203(1), pages 95-106, May.
    17. Kai-Leung Yung & Jiafu Tang & Andrew W. H. Ip & Dingwei Wang, 2006. "Heuristics for Joint Decisions in Production, Transportation, and Order Quantity," Transportation Science, INFORMS, vol. 40(1), pages 99-116, February.
    18. Hammami, Ramzi & Frein, Yannick & Hadj-Alouane, Atidel B., 2009. "A strategic-tactical model for the supply chain design in the delocalization context: Mathematical formulation and a case study," International Journal of Production Economics, Elsevier, vol. 122(1), pages 351-365, November.
    19. Özceylan, Eren & Paksoy, Turan & Bektaş, Tolga, 2014. "Modeling and optimizing the integrated problem of closed-loop supply chain network design and disassembly line balancing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 142-164.
    20. Ho, William, 2008. "Integrated analytic hierarchy process and its applications - A literature review," European Journal of Operational Research, Elsevier, vol. 186(1), pages 211-228, April.

    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

    Statistics

    Access and download statistics

    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:ibn:masjnl:v:10:y:2016:i:10:p:133. 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: Canadian Center of Science and Education (email available below). General contact details of provider: https://edirc.repec.org/data/cepflch.html .

    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.