The problem of determining optimal designs for least squares estimation is considered in the common linear regression model with correlated observations. The approach is based on the determination of ‘nearly’ universally optimal designs, even in the case where the universally optimal design...

The problem of corridor location can be found in a number of fields including power transmission, highways, and pipelines. It involves the placement of a corridor or rights-of-way that traverses a landscape starting at an origin and ending at a destination. Since most systems are subject to...

This research deals with a production-inventory problem consisting of three-stage tree-type single-producer multi-distributor and multi-retailer supply chain network where a model has been developed for achieving the lowest total cost for operating a supply chain system with allowable shortage....

Let P be an undirected path graph of n vertices. Each edge of P has a positive length and a constant capacity. Every vertex has a nonnegative supply, which is an unknown value but is known to be in a given interval. The goal is to find a point on P to build a facility and move all vertex...

The Nelder-Mead simplex method is an optimization routine that works well with irregular objective functions. For a function of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$n$$</EquationSource> </InlineEquation> parameters, it compares the objective function at the <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$n+1$$</EquationSource> </InlineEquation> vertices of a simplex and updates the worst vertex through simplex search steps. However, a...</equationsource></inlineequation></equationsource></inlineequation>

Undoubtedly, the changes spark ignition engines (hereinafter SI engines, Otto engines) have undergone under the last 20–25 years has been due to pressure from emission standards and fuel economy requirements becoming ever stricter. These regulations have equally influenced the every stage...