Codify a Three echelon inventory control model in terms of inflation with allowed shortage for a deterioration items
DOI:
https://doi.org/10.52547/ijie.1.1.97DOR:
https://dorl.net/dor/20.1001.1.27831906.2021.1.1.6.8Keywords:
Inventory control, three-echelon, Allowed shortage, Economic Ordering Quantity, inflation, supply chain, deterioration, simulated annealing algorithmAbstract
In this research initially, trying to find a model for inventory control system in a three-echelon supply chain for one-product system composed of levels of production, warehouse and seller and then will be trying to find optimal point in mentioned model. Model condition has been under inflation and has been considered for a commodity in which shortage is allowed and production has been deteriorating. With assumption be stable lead time and rate of demand and production and deterioration factor, obtain the overall cost function and restrictions for mentioned state. The impact of inflation with exponential function is on the price of units after that because of complex non-linear equation obtained, possibility of solving is impossible through classical methods. So we use MATLAB software for the numerical solution, sometime in numerical cases MATLAB can’t solve in routine time or can’t solve so we proposed the simulated annealing metaheuristic algorithm for these cases.
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• Aggarwal, V., Bahari-Hashani, H., .Synchronized, 1991. Production Policies for Deteriorating Items in a Declining Market. IIE Transactions, Vol.23, No.2, pp. 185.197. doi : https://doi.org/10.1080/07408179108963853
• Buzacott, J.A.1985. Economic Order Quantities with Inflation. Operational Research Quarterly, Vol 26, p.p.553-558.doi : https://doi.org/10.1057/jors.1975.113
• Damyad,M.H & Jafari,D &Kazemipour,H,2016. Codify a trihedral inventory control model in terms of inflation with allowed shortage for an incorruptible commodity. INTAN management journal , 2016 (9) , p.p.20-28.
• Damyad,M.H & Jafari,D &Kazemipour,H,2016. “Codify a trihedral inventory control model in terms of inflation in state of non-allowed shortage for an incorruptible commodity”. UCT Journal of Research in Science, Engineering and Technology, Volume 4 ,Issue 4
• Fattahi, Parviz and Turkmen, A. Kheirkhah, A Fatah Ullah, M. 2013. Introduce an algorithm to Model inventory control (r, Q) with function of potential demand and influenced by shortage amount" Production and operations management - fourth period - Number 1 - Spring and Summer 2013- PP21-38.
• Fattahi, Parviz., 2009. Metaheuristic Algorithms. First Edition . Hamedan: Bu-Ali Sina University Press
• Haj Shir Muhammad Ali., 2014. Principles of planning, production control and inventory. Eleventh edition. Isfahan: Pillars of Knowledge.
• Harris, F.W., 1913. How many parts to make at once. The Magazine of Management, Vol.10, pp.135-136.
• Jindal, Prashant & Solanki, Anjana, 2016. "Integrated vendor-buyer inventory models with inflation and time value of money in controllable lead time”. Decision Science Letters, Vol .5 , p.p. 81–94. Doi: http://dx.doi.org/10.5267/j.dsl.2015.8.002
• Jindal, Prashant, & Solanki, Anjana, 2014. Minimax distribution free procedure for integrated inventory model with backorder price discount and controllable lead time. International Journal of Systems Science: Operations & Logistics, Vol.1, (n.3), p.p.131-141.
• Misra, R.B, 1975. Optimum Production Lot Size Model for a System with Deteriorating Inventory. International Journal of Production Research, Vol.13, No.5, 1975, pp.495.505.
• Paryab, Khalil., 2007. Ordinary Differential Equations. First Edition . Tehran Publication Paryab.
• Zahedi seresht, Maziar., 2012. Operations Research 2. Second Edition. Tehran: Negah Danesh.
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Copyright (c) 2021 Mohammad Hassan Damyad, Davoud Jafari
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