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

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  • 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
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    References listed on IDEAS

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    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. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    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.
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    JEL classification:

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

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