Queues in Which Customers Receive Simultaneous Service from a Random Number of Servers: A System Point Approach

Article Abstract:

The waiting time distribution for each customer type in a multi-server queuing system is examined. In this system customers need simultaneous service from a random number of servers. A System Point approach is used to develop a framework to determine the waiting time distribution. Definitions and System Point Theory are presented. Model equations are solved for the two- server system and the probability density of the waiting time. Specific examples are given. The method is generalized for larger systems. An appendix presents other cases.

Management, Customer service

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A Queueing System with Auxiliary Servers

Article Abstract:

Often service systems have auxiliary servers that work with primary servers. A queueing system with two types of servers and two types of customers is discussed. The classes of customers are those that require service from the primary server alone and those that need a primary and secondary server. Due to aggregation a Markovian two-dimensional representation results, not a five-dimensional one. Numerical results are presented in tables.

Management science, Operations Research, Markov Process

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Queues in Which Customers Receive Simultaneous Service from a Random Number of Servers: A System Point Approach

Article Abstract:

A multi-server queueing system is studied. It deals with customers that require simultaneous service from a random number of servers. The customers have Poisson arrivals. A waiting time distribution for each customer type is derived and computational results are presented for the two-server problem. Graphs of waiting times are available.

Theory

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