Inventory control poses a challenge for petrol stations when demand for petroleum products fluctuates from time to time.
The problem is not just controlling inventory, but also should focus on service level. Weili, X., Xiaolin, X., & Ruxian, W. (2013). Combined Sales Effort and Inventory Control under Demand Uncertainty. Discrete Dynamics In Nature & Society, 1-8. They tackle the problem of inventory from both sides. Very mathematical, but perhaps useful.
Another nice article is Yeo, W. M., & Yuan, X. (2011). Production, Manufacturing and Logistics: Optimal inventory policy with supply uncertainty and demand cancellation. European Journal Of Operational Research, 21126-34. (http://www.sciencedirect.com/science/article/pii/S0377221710007332)
The last article has many interesting sources which might help you further e.g. R. Güllü, E. Önol, N. Erkip. Analysis of an inventory system under supply uncertainty ,International Journal of Production Economics, 59 (1999), pp. 377–385
Thank you so much for your contributions.
Demand and supply uncertainty definitely both play a major role. So I have to analyze the logistical framework as well.
When I see petrol station(gas station), I am thinking about limitation of their storage tanks. and limitation of their service capacity. They might be factors for you to consider. Just a thought!
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