There is a simple type of electric network termed a series-parallel connection which occurs frequently in both theoretical and applied electrical engineering. One reason for the importance of series-parallel connection stems from the fact that the joint resistance is easily evaluated by the following two rules due to Ohm: 0 s. Resistance is additive for resistors in series. 0 P. Reciprocal resi...

This paper gives an excluded-minor characterization of the class of matroids that are series-parallel extensions of uniform matroids.

  In this article, Non radial method of dynamic DEA with the parallel network structure is presented and is used for calculation of relative efficiency measures when inputs and outputs do not change equally. In this model, DMU divisions under evaluation have been put together in parallel. But its dynamic structure is assumed in series. Since in real applications there are undesirable inputs an...

in this article, non radial method of dynamic dea with the parallel network structure is presented and is used for calculation of relative efficiency measures when inputs and outputs do not change equally. in this model, dmu divisions under evaluation have been put together in parallel. but its dynamic structure is assumed in series. since in real applications there are undesirable inputs and o...

in this paper, we study different methods of solving joint redundancy-availability optimization for series-parallel systems with multi-state components. we analyzed various effective factors on system availability in order to determine the optimum number and version of components in each sub-system and consider the effects of improving failure rates of each component in each sub-system and impr...

In this paper, we study different methods of solving joint redundancy-availability optimization for series-parallel systems with multi-state components. We analyzed various effective factors on system availability in order to determine the optimum number and version of components in each sub-system and consider the effects of improving failure rates of each component in each sub-system and impr...

The minimal number of parallel cuts required to divide a cake into n pieces is n 1. A new 3person procedure, requiring two parallel cuts, is given that produces an envy-free division, whereby each person thinks he or she receives at least a tied-for-largest piece. An extension of this procedure leads to a 4-person division, using three parallel cuts, which makes at most one person envious. Fina...

A “three-terminal series-parallel-cascade graph” is defined as a three-terminal* graph which is constructed by means of cascade connections in addition to series and parallel connections which were used in constructing a three-terminal series-parallel graph in our previous paper. Some properties of the graph are presented, and a theorem of the Kuratowski type is given stating that a threetermin...