Optimization of traffic control in $ MMAP\mathit{[2]}/PH\mathit{[2]}/S$ priority queueing model with $ PH $ retrial times and the preemptive repeat policy

The presented study elaborates a multi-server priority queueing model considering the preemptive repeat policy and phase-type distribution ($ P\!H $) for retrial process. incoming heterogeneous calls are categorized as handoff new calls. arrival service processes of both types follow marked Markovian process M\!M\!A\!P $ with distinct parameters, respectively. An arriving call will be blocked when all channels occupied, consequently join orbit (virtual space) to retry following distribution. When occupied arrives at system, out two scenarios, one might take place. In first scenario, if calls, lost from system. While in second one, least them is serving call, provided by using over that preempted orbit. Behaviour proposed system modelled level dependent quasi-birth-death (L\!D\!Q\!B\!D) expressions various performance measures have been derived numerical illustration. optimization problem optimal channel allocation traffic control has formulated dealt employing appropriate heuristic approaches.