Research Reports from the Department of Operations
Document Type
Report
Publication Date
7-1-1968
Abstract
A transportation queueing process in which taxis arrive in a Poisson process and customers arrive as a renewal process independent of taxi-arrival process is controlled by calling extra taxis whenever the total number of customers lost to the system reaches a certain predetermined number. Transient and steady state behavior of this process is studied using renewal theoretic arguments. The optimum value of the control variable is also obtained so as to minimize the total cost to the system due to the waiting taxis and lost customers.
Keywords
Operations research, Queuing theory, Taxicabs, Transportation--Mathematical models, Poisson processes, Renewal theory, Stochastic processes
Publication Title
Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University
Issue
Technical memorandum no. 112
Rights
This work is in the public domain and may be freely downloaded for personal or academic use
Recommended Citation
Bhat, U. Narayan, "A Controlled Transportation Queueing Process" (1968). Research Reports from the Department of Operations. 103.
https://commons.case.edu/wsom-ops-reports/103