The Relationship Between Transportation Costs and Location Rent in Transportation Problems

Böventer, Edwin von

doi:10.1111/j.1467-9787.1961.tb01276.x

Cited by 67 publications

(29 citation statements)

References 6 publications

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“…The idea of combining location and routing decisions was put forward more than fifty years ago (Von Boventer, 1961) and has given rise to a rich research known as the Location-Routing Problem (LRP) (see Laporte, 1988;Min et al, 1998;Nagy and Salhi, 2007;Prodhon and Prins, 2014;Albareda-Sambola, 2015;Drexl and Schneider, 2015, for reviews). Applications of the LRP arise in areas as diverse as food and drink distribution, parcel delivery and telecommunication network design.…”

Section: Introductionmentioning

confidence: 99%

The fleet size and mix location-routing problem with time windows: Formulations and a heuristic algorithm

Koç

Bektaş

Jabali

et al. 2016

European Journal of Operational Research

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This paper introduces the fleet size and mix location-routing problem with time windows (FSML-RPTW) which extends the location-routing problem by considering a heterogeneous fleet and time windows. The main objective is to minimize the sum of vehicle fixed cost, depot cost and routing cost. We present mixed integer programming formulations, a family of valid inequalities and we develop a powerful hybrid evolutionary search algorithm (HESA) to solve the problem. The HESA successfully combines several metaheuristics and offers a number of new advanced efficient procedures tailored to handle heterogeneous fleet dimensioning and location decisions. We evaluate the strengths of the proposed formulations with respect to their ability to find optimal solutions. We also investigate the performance of the HESA. Extensive computational experiments on new benchmark instances have shown that the HESA is highly effective on the FSMLRPTW.

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Section: Introductionmentioning

confidence: 99%

The fleet size and mix location-routing problem with time windows: Formulations and a heuristic algorithm

Koç

Bektaş

Jabali

et al. 2016

European Journal of Operational Research

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show abstract

“…The basic concepts of LRPs were introduced by Boventer (1961), Maranzana (1965), Webb (1968), Lawrence and Pengilly (1969), Higgins (1972) and Christofides and Eilon (1969). These primary studies did not consider the complexity of LRP as a combined problem.…”

Section: Lrpmentioning

confidence: 99%

Demand Point Aggregation Analaysis for Location Models

Sadigh

Fallah

2009

Facility Location

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“…Study of the concept of LRP can be traced back to 1961, when (Von Boventer, 1961) considered the relationship between transportation cost and facility location cost. In 1980s, computer technology fostered the development of research for LRP.…”

Section: Construction Of the Lrptw Modelmentioning

confidence: 99%

Solving the LRPTW Based on Tabu Search Algorithm

Zhu¹,

Hu²,

Wei³

et al. 2014

Iclem 2014

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The object of this paper is to research the multiple-depot location routing problem with time windows. This paper establishes a math model of the location routing problem with time-windows by adding the time constraint to the basic location routing problem, and validates checks the correctness of this math model in a small-scaled problem using Lingo software. This paper designs a tabu search algorithm to solve LRPTW (Location Routing Problem with Time Windows) for large-scaled problems, and uses data of different scales to test the designed algorithm. The results indicate that the proposed algorithm is valid and feasible, being able to solve the problem steadily with high speed.

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The Relationship Between Transportation Costs and Location Rent in Transportation Problems

Cited by 67 publications

References 6 publications

The fleet size and mix location-routing problem with time windows: Formulations and a heuristic algorithm

The fleet size and mix location-routing problem with time windows: Formulations and a heuristic algorithm

Demand Point Aggregation Analaysis for Location Models

Solving the LRPTW Based on Tabu Search Algorithm

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