عنوان مقاله [English]
Inventory-routing problem (IRP) is introduced in vendor managed inventory (VMI) concept. The importance of IRP is combining two elements of supply chain management. Indeed IRP integrates inventory control and vehicle routing problem.
In this research multi period IRP for a set of customer with considering transportation and shortage costs is investigated. Each customer faces a demand at a deterministic rate and one type. In addition in this problem there is a product supply limitation that there is no attention to this limitation in literature. The inventory of the customers are replenished by a fleet of heterogeneous vehicle of limited and various capacity. Unlike most of the problems in literature that several vehicle can visit one customer in a period, in this problem a customer will be visited no more than once in a time period. The problem has been solved by two methods that which of them contains two steps. In the first step, that is common between methods, the quantity of sent products for every customer is determined by a proposal fixed partition policy (FPP).Then the sequences of customers are determined by genetic algorithm and variable neighborhood search algorithm. Finally the methods are compared by two criteria, run time and the profit of dispatching. Since the inventory routing problem is a NP-hard problem, the solving method proposed in this study can be useful because the dispatching revenue is in reasonable rate and run time is quite satisfaction.
]1[Dror, M., Trudeau, P.,Savings by split delivery routing, Transportation Science,23, 141–145,1989.
]2[Campbell, A., Clarke, L., Savelsbergh, M.W.P,Inventory routing in practice: The vehicle routing problem, SIAM Monographs on Discrete Mathematics and Applications, 309–330,2002.
]3[Campbell, A.M., Savelsbergh, M.W.P., A decomposition approach for the inventory-routing problem. Transportation Science, 38(4), 488–502, 2004.
]4[Anily, Sh.,Bramel, J., An asymptotic 98.5%-effective lower bound on fixed partition policies for the inventory-routing problem, Discrete Applied Mathematics,145, 22-39 ,2004.
]5[Aghezzaf, E. , Raa, B., Van Landeghem, H., 2006, Modeling inventory routing problems in supply chains of high consumption products, European Journal of Operational Research,169, 1048–1063,2006.
]6[Zhao, Q. , Wang Sho. , Lai K.K.,A partition approach to the inventory/routing problem, European Journal of Operational Research, 177, 786–802, 2007.
]7[Abdelmaguid, T. F. ,Dessouky, M. M. , Ordonez, F., Heuristic approaches for the inventory-routing problem with backlogging, Computers & Industrial Engineering, 56, 1519–1534, 2009.
]8[Bard, J., F. ,Nananukul, N., Heuristics for a multiperiod inventory routing problem with production decisions, Computers & Industrial Engineering, 57, 713–723, 2009.
]9[Cheng, L., Duran, M.A.,Logistics for world-wide crude oil transportation using discrete event simulation and optimal control, Computers and Chemical Engineering ,28, 897–911, 2004.
]10[Yu, Y., Chen, H., Chu, F., A new model and hybrid approach for large scale inventory routing problems, European Journal of Operational Research, 189,1022–1040, 2008.
]11[Christiansen, M., KjetilFagerholt , K., Flatberg, T., Haugen, Q., Kloster,O., Lund,E., Maritime inventory routing with multiple products: A case study from the cement industry, European Journal of Operational Research,208, 86-94, 2011.
]12[Zhong, Y., Aghezzaf, E., Combining DC-programming and steepest-descent to solve the single-vehicle inventory routing problem, Computers & Industrial Engineering, 61, 313-321, 2011.
]15[Liu, Sh., Lee, W.,A heuristic method for the inventory routing problem with time windows, Expert Sistem with Application, 38,13223-13231, 2011.
]16[Andersson, H., Hoff ,A., Christiansen, M., Hasle, G., Løkketangen, A., Industrial aspects and literature survey: Combined inventory management and routing, Computers & Operations Research, 37 ,1515–1536, 2010.
عالم تبریز، ا. زندیه، م. محمد رحیمی، ع.، الگوریتمهای فرا ابتکاری در بهینهسازی ترکیبی (ژنتیک، شبکه عصبی، آنیل شبیهسازی شده، جستجوی ممنوع، الگوریتم مورچگان)، چاپ دوم، نشر اشراقی، 1389.
]18[Mladenovi´c, N., Hansen, H., Variable neighborhood search, Computers and Operations Research, 24 (11): 1097–1100, 1997.
]19[Bräysy, O., A Reactive Variable Neighborhood Search for the Vehicle Routing Problem with Time Windows. SINTEF AppliedMathematics, Department of Optimization, 124, 2003.
]22[Hemmelmayr, V.C., Doerner, K.F., Hartl, R.F.,A Variable Neighborhood Search Heuristic for Periodic Routing Problems. European Journal of Operational Research,195 , 791–802, 2009.