“…We also extend some results to general nondecreasing subadditive order and holding costs. Our study is motivated by agricultural supply chains (Nguyen, Dessouky, & Toriello, 2014;Nguyen, Toriello, Dessouky, & Moore, 2013;Zhang, Uhan, Dessouky, & Toriello, 2018), where local growers send product via short-haul transportation services to a consolidation center, which then delivers it to a destination via long-haul transportation services. Both echelons can choose from multiple shipping options, for example, fixed full-truckload (FTL) rates, linear less-than-truckload (LTL) rates and courier rates, and thus the resulting transportation cost function exhibits economies of scale captured by piecewise linear (PWL) concave batch costs.…”