The System Point Method in Exponential Queues: A Level Crossing Approach
From MaRDI portal
Publication:3962295
DOI10.1287/moor.6.1.31zbMath0497.60089OpenAlexW1987750588MaRDI QIDQ3962295
Percy H. Brill, Morton J. M. Posner
Publication date: 1981
Published in: Mathematics of Operations Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1287/moor.6.1.31
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items (29)
Little laws for utility processes and waiting times in queues ⋮ A unified algorithm for computing the stationary queue length distributions in \(M(k)/G/1/N\) and \(GI/M(k)/1/N\) queues ⋮ A production-inventory model with randomly changing environmental conditions ⋮ Markov chain approximation methods in a class of level-crossing problems ⋮ A level-crossing approach to the solution of the shortest-queue problem ⋮ The marginal cost analysis and its application to repair and replacement policies ⋮ Optimal and simple approximate solutions to a production-inventory system with stochastic and deterministic demand ⋮ A note on a production control model for a facility with limited storage capacity in a random environment ⋮ When supplier's availability affects the replenishment lead time -- an extension of the supply-interruption problem ⋮ Stability analysis of a multi-server model with simultaneous service and a regenerative input flow ⋮ Analysis of risk models using a level crossing technique ⋮ Flow time distributions in a \(K\) class \(M/G/1\) priority feedback queue ⋮ Analysis of the stochastic cash balance problem using a level crossing technique ⋮ Analysis of net inventory in continuous review models with random lead time ⋮ Deterministic analysis of queueing systems with heterogeneous servers ⋮ ALTERNATIVE ANALYSIS OF FINITE-TIME PROBABILITY DISTRIBUTIONS OF RENEWAL THEORY ⋮ Sample path analysis of level crossings for the workload process ⋮ Manufacturing quality density, control and maintenance ⋮ Queues with waiting time dependent service ⋮ Stability criterion of a multiserver model with simultaneous service ⋮ On the service time in a workload-barrier \(\mathrm{M}/\mathrm{G}/1\) queue with accepted and blocked customers ⋮ Sample-path analysis of processes with imbedded point processes ⋮ Analysis of a production-inventory system with unreliable production facility ⋮ On first-come, first-served queues with two classes of impatient customers ⋮ Single-Server with Delay-Dependent Arrival Streams ⋮ A replacement model for an additive damage model with restoration ⋮ A review of \(L=\lambda W\) and extensions ⋮ Rate conservation laws: A survey ⋮ Supply interruptions in a lost-sales inventory system with random lead time
This page was built for publication: The System Point Method in Exponential Queues: A Level Crossing Approach