With VLSI design development, the increasingly severe power problem requests to minimize clock routing wirelength so that both power consumption and power supply noise can be alleviated. In contrast to most of traditional works that handle this problem only in clock routing, we propose to navigate standard cell register placement to locations that enable further less clock routing wirelength an...

This paper introduces the family traveling salesperson problem (FTSP), a variant of the generalized traveling salesman problem. In the FTSP, a subset of nodes must be visited for each node cluster in the graph. The objective is to minimize the distance traveled. We describe an integer programming formulation for the FTSP and show that the commercial-grade integer programming solver CPLEX 11 can...

risk management is one of the nine project management processes, which provides positive results and minimizes the probability and consequences of adverse effects in the project.  in this article a zero-one linear programming model with multiple objectives is used to characterize the potential risks. the proposed model has two main objectives. the first objective is the minimization of the expe...

In this research, we investigate a three-stage supply chain with one supplier, several manufacturers and multiple retailers where the supplier provides a common raw material to each manufacturer, who in turn uses a single stage production facility to convert it into final products that are delivered at fixed lot sizes to retailers. An integrated economic procurement, production, and delivery mo...

the use of fertilizers in agriculture is a potential source of environmental pollution especially in ‎water quality and soil resources. the study of effective factors on water and nutrient transport ‎through soil profile is helpful for nutrient management to minimize adverse impacts on environment ‎and nitrate leaching below root zone. in this study, for assessing the nitrate transportation bel...

This paper presents a new mathematical model for the problem of scheduling part families and jobs within each part family in a flow line manufacturing cell where the setup times for each family are sequence dependent and it is desired to minimize the maximum completion time of the last job on the last machine (makespan) while processing parts (jobs) in each family together. Gaining an optimal s...