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We study static repair priorities in a system consisting of one repair shop and one stockpoint, where spare parts of multiple, critical repairables are kept on stock to serve an installed base of technical systems. Demands for ready-for-use parts occur according to Poisson processes, and are...
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We consider the M/M/c queue, where customers transfer to a critical state when their queuing (sojourn) time exceeds a random time. Lower and upper bounds for the distribution of the number of critical jobs are derived from two modifications of the original system. The two modified systems can be...
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Many intra-logistics systems, such as automated container terminals, distribution warehouses, and crossdocks observe parallel process flows, which involve simultaneous (parallel) operations of multiple independent resources while processing a job. Due to the unknown service time of the job,...
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The G/M/1 queue is one of the classical models of queueing theory. The goal of this paper is two-fold: (a) To introduce new derivations of some well-known results, and (b) to present some new results for the G/M/1 queue and its variants. In particular, we pay attention to the G/M/1 queue with a...
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