A quadratic programming model for designing and evaluating distance-based and zone fares for urban transit

Mark S. Daskin; Joseph L. Schofer; Ali E. Haghani

doi:10.1016/0191-2615(88)90032-X

A quadratic programming model for designing and evaluating distance-based and zone fares for urban transit

Mark S. Daskin^*, Joseph L. Schofer, Ali E. Haghani

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

A microcomputer based system for designing and evaluating distance-based and zone fares for transit properties is described. At the heart of the system is an optimization model that finds the fixed charge, mileage charge, and transfer charge that maximize gross revenue subject to constraints on ridership and the form of the fare equation. A linear approximation to the demand curve at the base case values results in a quadratic programming problem. Three alternative modes of using the model system are demonstrated using selected data from the Chicago Transit Authority. Model extensions and proposed future work are outlined.

Original language	English (US)
Pages (from-to)	25-44
Number of pages	20
Journal	Transportation Research Part B
Volume	22
Issue number	1
DOIs	https://doi.org/10.1016/0191-2615(88)90032-X
State	Published - Feb 1988

ASJC Scopus subject areas

Civil and Structural Engineering
Transportation

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1016/0191-2615(88)90032-X

Cite this

@article{438eafb94c5a4e19a5d9d51777c92d36,

title = "A quadratic programming model for designing and evaluating distance-based and zone fares for urban transit",

abstract = "A microcomputer based system for designing and evaluating distance-based and zone fares for transit properties is described. At the heart of the system is an optimization model that finds the fixed charge, mileage charge, and transfer charge that maximize gross revenue subject to constraints on ridership and the form of the fare equation. A linear approximation to the demand curve at the base case values results in a quadratic programming problem. Three alternative modes of using the model system are demonstrated using selected data from the Chicago Transit Authority. Model extensions and proposed future work are outlined.",

author = "Daskin, {Mark S.} and Schofer, {Joseph L.} and Haghani, {Ali E.}",

year = "1988",

month = feb,

doi = "10.1016/0191-2615(88)90032-X",

language = "English (US)",

volume = "22",

pages = "25--44",

journal = "Transportation Research Part B",

issn = "0191-2615",

publisher = "Elsevier Ltd",

number = "1",

}

TY - JOUR

T1 - A quadratic programming model for designing and evaluating distance-based and zone fares for urban transit

AU - Daskin, Mark S.

AU - Schofer, Joseph L.

AU - Haghani, Ali E.

PY - 1988/2

Y1 - 1988/2

N2 - A microcomputer based system for designing and evaluating distance-based and zone fares for transit properties is described. At the heart of the system is an optimization model that finds the fixed charge, mileage charge, and transfer charge that maximize gross revenue subject to constraints on ridership and the form of the fare equation. A linear approximation to the demand curve at the base case values results in a quadratic programming problem. Three alternative modes of using the model system are demonstrated using selected data from the Chicago Transit Authority. Model extensions and proposed future work are outlined.

AB - A microcomputer based system for designing and evaluating distance-based and zone fares for transit properties is described. At the heart of the system is an optimization model that finds the fixed charge, mileage charge, and transfer charge that maximize gross revenue subject to constraints on ridership and the form of the fare equation. A linear approximation to the demand curve at the base case values results in a quadratic programming problem. Three alternative modes of using the model system are demonstrated using selected data from the Chicago Transit Authority. Model extensions and proposed future work are outlined.

UR - http://www.scopus.com/inward/record.url?scp=0023733121&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023733121&partnerID=8YFLogxK

U2 - 10.1016/0191-2615(88)90032-X

DO - 10.1016/0191-2615(88)90032-X

M3 - Article

AN - SCOPUS:0023733121

SN - 0191-2615

VL - 22

SP - 25

EP - 44

JO - Transportation Research Part B

JF - Transportation Research Part B

IS - 1

ER -

A quadratic programming model for designing and evaluating distance-based and zone fares for urban transit

Abstract

ASJC Scopus subject areas

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this