aggregate production planning (app) is one of the most important issues carried out in manufacturing environments which seeks efficient planning, scheduling and coordination of all production activities that optimizes the company's objectives. in this paper, we develop a mixed integer linear programming (milp) model for an integrated aggregate production planning system with closed loop su...

this paper proposes a new mixed integer programming model for multi-item capacitated lot-sizing problem with setup times, safety stock and demand shortages in closed-loop supply chains. the returned products from customers can either be disposed or be remanufactured to be sold as new ones again. due to the complexity of problem, three meta-heuristics algorithms named simulated annealing (sa) al...

A widely used method for constructing phylogenetic trees is the neighbour-joining method of Saitou and Nei. We develope heuristics for speeding up the neighbour-joining method which generate the same phylogenetic trees as the original method. All heuristics are based on using a quad-tree to guide the search for the next pair of nodes to join, but differ in the information stored in quad-tree no...

The conflict resolution method, introduced by the authors in [1] is a new method for solving systems of linear inequalities over the rational and real numbers. This paper investigates various heuristics for optimisation of the method and presents experimental evaluation. The method and heuristics are evaluated against various benchmarks and compared to other methods, such as the FourierMotzkin ...

We analyze several heuristics for nding a maximum planar subgraph of a nonplanar graph. The problem is NP-hard, although heuristics which perform well in practice have been reported. In particular, we compare the two principle methods, based on path addition and vertex addition, respectively , with an incremental method, a \cycle packing" approach, and a branch-and-cut algorithm. For the incre-...

Models of the representation of numerosity information used in discrimination tasks are integrated with a diffusion decision model. The representation models assume distributions of numerosity either with means and SD that increase linearly with numerosity or with means that increase logarithmically with constant SD. The models produce coefficients that are applied to differences between two nu...