We study the minimum concave cost flow problem over a two-dimensional grid network (CFG), where one dimension represents time periods and the other dimension represents echelons. The concave function over each arc is given by a value oracle. We give a characterization of the computational complexity of CFG based on the grid size (T periods and L echelons), the distribution of sources and sinks ...

We study the minimum concave cost flow problem over a two-dimensional grid network (CFG), where one dimension represents time (1 ≤ t ≤ T ) and the other dimension represents echelons (1 ≤ l ≤ L). The concave function over each arc is given by a value oracle. We give a polynomial-time algorithm for finding the optimal solution when the network has a fixed number of echelons and all sources lie a...

distribution is one of the most important topics in industrial engineering and logistics and supply chain that all organizations are dealing with it in the upper echelons and are looking for the optimum distribution of resources and equipment among the echelon. generally, it is seen that organizations cannot have a good distribution if there is not a suitable criterion for the distribution of e...

closed-loop supply chain network (clscn) design aims at incorporating environmental considerations into the traditional supply chain design by including recycling, disassembly and reuse activities. in a clscn, the environmental considerations can also be facilitated by resorting to environmentally friendly materials and enhancing product reuse through the design of an appropriate product recove...

The minimum concave cost network flow problem (MCCNFP) is NP-hard, but efficient polynomial-time algorithms exist for some special cases such as the uncapacitated lot-sizing problem and many of its variants. We study the MCCNFP over a grid network with a general nonnegative separable concave cost function. We show that this problem is polynomially solvable when all sources are in the first eche...

Attention with reverse logistics networks has increased during the last decade since their economic impact has been increasingly important and as environmental legislation has been becoming stricter. In this paper, A multi-period multi-echelon forward–reverse logistics network design under risk model is developed. The proposed network structure consists of three echelons in the forward directio...

The primary objective of this paper is to study the impact of selected inventory parameters and management techniques on the performance of an expanded and comprehensive retail supply chain. Speci"cally, we study the sensitivity of supply chain performance to three inventory planning parameters: (i) the forecast error, (ii) the mode of communication between echelons, and (iii) the planning freq...

Multi-Echelon Distribution Systems are broadly used in practice and have been much studied in the literature. Most of these studies address issues related to the movement of flows throughout the system from their origins to their final destinations. A recent trend is to also focus on the management of the vehicle fleets required to provide transportation among the different echelons of the syst...