We analyze an economic order quantity cost model with unit out-of-pocket holding costs, unit opportunity costs of holding, fixed ordering costs, and general purchase-transportation costs. We identify the set of purchasetransportation cost functions for which this model is easy to solve and related to solving a one-dimensional convex minimization problem. For the remaining purchase-transportation cost functions, when this problem becomes a global optimization problem, we propose a Lipschitz optimization procedure. In particular, we give an easy procedure which determines an upper bound on the optimal cycle length. Then, using this bound, we apply a well-known technique from global optimization. Also for the class of transportation functions related to full truckload (FTL) and less-than-truckload (LTL) shipments and the well-known carload discount schedule, we specialize these results and give fast and easy algorithms to calculate the optimal lot size and the corresponding optimal order-up-to-level.

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doi.org/10.3934/jimo.2015.11.1211, hdl.handle.net/1765/92197
Journal of Industrial and Management Optimization
Erasmus University Rotterdam

Birbil, I., Bülbül, K., Frenk, H., & Mulder, M. (2015). On EOQ cost models with arbitrary purchase and transportation costs. Journal of Industrial and Management Optimization, 11(4), 1211–1245. doi:10.3934/jimo.2015.11.1211