Parallel Cellular Automata (PCA) previously has been employed for optimizing bi-objective reservoir operation, where one release is used to meet both objectives. However, if a single release can only be used for one objective, meaning two separate sets of releases are needed, the method is not applicable anymore. In this paper, Multi-Step Parallel Cellular Automata (MSPCA) has been developed fo...

Partial differential equations(PDE) defined over a surface are used in various graphics applications, such as mesh fairing, smoothing, surface editing, and simulation. Often these applications involve PDEs with Laplacian or bi-Laplacian terms. We propose a new approach to a finite element method for solving these PDEs that works directly on the triangle mesh connectivity graph that has more con...

This paper discusses a new hybrid solution method for a bi-objective routing problem, namely the bi-objective ring star problem. The bi-objective ring star problem is a generalization of the ring star problem in which the assignment cost has been dissociated from the cost of visiting a subset of nodes. Here, we investigate the possible contribution of incorporating specialized TSP heuristics in...

Abstract: Bi-level programming, a tool for modeling decentralized decisions, consists of the objective(s) of the leader at its first level and that is of the follower at the second level. Three level programming results when second level is itself a bi-level programming. By extending this idea it is possible to define multi-level programs with any number of levels. Supply chain planning problem...

This paper considers a multi-period, multi-product inventory-routing problem in a two-level supply chain consisting of a distributor and a set of customers. This problem is modeled with the aim of minimizing bi-objectives, namely the total system cost (including startup, distribution and maintenance costs) and risk-based transportation. Products are delivered to customers by some heterogeneous ...