The throughput rate of multistation unreliable production lines

摘要: Abstract This paper is concerned with unreliable multistation series production lines. The first station never starved and the last blocked. processing times at each i Erlang type Pi distributed Pi, number of phases, allowed to vary for station. Buffers nonidentical capacities are between successive stations. A maybe reliable or unreliable. Time failure exponentially repair Ri vary, In this a methodology generating associated set linear equations presented. These solved via use Successive Over-Relaxation (SOR) method dynamically adjusted relaxation factor as used by Seelen [25]. Referring throughput rate lines, many numerical cases documented. exact results comparison purposes against approximate which exist in literature. Although new obtained, size system can be inherently limited technique being used. due curse dimensionality.