We consider an M/G/1 queue with regular and optional phase vacation and withstate dependent arrival rate. The vacation policy is after completion of service if there are no customers in the system, the server takes vacation consisting of K -phases, each phase is generally distributed. Here the first phase is compulsory where as the other phases are optional. For this model the supplementary var...

Social phenomena can exhibit drastic changes with small changes in external parameters––phase transitions. Furthermore, physical models can be applied to social systems because most of the small details can be ignored just as in physical systems. Many models have been used and developed, most notable network models. However empirical data and their interpretation are not yet good enough to make...

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in regard to both implementation of the second phase of targeted subsidises and the effect of inflation resulted from first phase of it on economic of country, inflation content estimation on economic of country especially agriculture sector is necessary. in this research effect of increasing price of energy carriers on inflation in various reproduction sectors such as agriculture was investiga...

Studying weakly connected oscillators leads to phase models. It has been proven recently that weakly connected oscil-lators with delayed interactions do not lead to phase models with time delays even when the delay is of the same order of magnitude as the period of oscillation. This results in a fading interest to such models. We prove here that if the interaction delay between weakly connected...