this paper proposes an optimal transmission expansion planning (tep) which is based on determining share of each line in merchandizing surplus (ms) of system, determining by independent system operator (iso). the more share of a line in ms of system denotes the priority of a line for expansion. the procedure of determining ms of each line in a power system is based on determining the ms share o...

We consider a class of Markovian risk models in which the insurer collects premiums at rate c1 (c2) whenever the surplus level is below (above) a constant barrier level b. We derive the Laplace­Stieltjes transform (LST) of the distribution of the time to ruin as well as the LST (with respect to time) of the joint distribution of the time to ruin, the surplus prior to ruin, and the deficit at ru...

In open conduit volcanoes, volatile-rich magma continuously enters into the feeding system nevertheless the eruptive activity occurs intermittently. From a practical perspective, the continuous steady input of magma in the feeding system is not able to produce eruptive events alone, but rather surplus of magma inputs are required to trigger the eruptive activity. The greater the amount of surpl...

Changes in total surplus and deadweight loss are traditional measures of economic welfare. We propose necessary and sufficient conditions for rationalizing consumer demand data with a quasilinear utility function. Under these conditions, consumer surplus is a valid measure of consumer welfare. For nonmarketed goods, we propose necessary and sufficient conditions on market data for efficient pro...