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In 2011, Free Shipping Day became a billion-dollar shopping holiday with $1.072 billion in sales, [5] followed by $1.01 billion during Free Shipping Day 2012. [ 6 ] In 2013, Knowles changed the format of Free Shipping Day to only include merchants that could waive all minimum order requirements and guarantee delivery by Christmas Eve. [ 7 ]
The minimum-cost flow problem (MCFP) is an optimization and decision problem to find the cheapest possible way of sending a certain amount of flow through a flow network.A typical application of this problem involves finding the best delivery route from a factory to a warehouse where the road network has some capacity and cost associated.
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Based on ComScore data 65% of eCommerce transactions in Q4 2017 in the United States were with free shipping. This figure has been consistent for the last few years (ranging between 58% and 69%). Moreover, US respondents asked in the survey listed free shipping (54% mentions) as a most important factor for online shipping.
The cost of the output is the sum of the weights of its edges, and the goal is to find the tree that has minimum cost. The problem was formulated by Lozovanu & Zelikovsky (1993) [1] and by Ravi et al. (1996). Ravi et al. also considered a geometric version of the problem, which can be seen as a special case of the graph problem.
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