Efficient and Easy-to-Implement Mixed-Integer Linear Programs for the Traveling Salesperson Problem with Time Windows

Hungerländer, Philipp; Truden, Christian

doi:10.1016/j.trpro.2018.09.018

Cited by 10 publications

(9 citation statements)

References 11 publications

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“…On the basis of meeting the community needs to the maximum extent, the driving cost of vehicles can be reduced through reasonable planning routing. In our study, cost types are considered including fixed cost, vehicle cost, time cost, and transportation cost [41]. is paper studies the optimal routing planning of M HHC stations and N demand communities and establishes an optimization model of HHC.…”

Section: Basic Modelmentioning

confidence: 99%

New Models for Home Health Care under Uncertainty with Consideration of the Coordinated Development of Economy and Environment

et al. 2021

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With the aggravation of population aging, home health care (HHC) services are paid more and more attention by the elderly. Previous studies aim at improving service quality and reducing cost, ignoring the coordinated and sustainable development of the economy and environment. From the perspective of sustainable development, this paper first establishes a linear optimization (LO) model considering transportation, time, and carbon emission costs. However, the uncertainty of service demand is a very difficult problem for HHC research. Most of the previous studies only consider the deterministic model, which has difficulty dealing with the uncertain situation. Therefore, a robust optimization (RO) model is proposed to resist uncertain disturbances by introducing a robust uncertain set response. The experimental results show that the increase of low-carbon transition cost only increases the total cost of the LO model but has a significant positive impact on the RO model. With the increase of uncertainty, the robust model will pay the cost of robustness, but it can obtain a higher service level (93.20% to 93.38%). In addition, when the carbon tax increases, the total transportation cost does not increase but decreases, thus obtaining environmental benefits. When the carbon tax increases by 25%, the average total cost of using the RO model is reduced by 8.274%. The research results of this paper can provide enlightenment and reference for the low-carbon transformation of HHC enterprises.

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Section: Basic Modelmentioning

confidence: 99%

New Models for Home Health Care under Uncertainty with Consideration of the Coordinated Development of Economy and Environment

et al. 2021

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“…Overlapping windows are mentioned also in [39], but they are taken into account by using a simple scoring policy based on experience of practitioners, with no guarantee on the violation of the corresponding working times of operators or vehicles. Lastly, [25] presents mixed-integer linear programs to take into account possibly overlapping time windows, and points out that, in the absence of overlaps, the number of variables and constraints can be conveniently reduced, thus simplifying the problem to be solved. As regards the presence of multiple competing objectives, some results are available in the literature [5,12,38,41,49].…”

Section: Literature Reviewmentioning

confidence: 99%

Optimization of gas metering maintenance services: A multiobjective vehicle routing problem with a set of predefined overlapping time windows

Gaggero

Saccaro

2021

Networks

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Optimization of maintenance services of a company working in the gas metering sector is investigated. In particular, daily tasks of operators are optimized by exploiting the paradigm of vehicle routing problems with a set of predefined time windows that overlap one with the others and four competing objectives to take into account. First, an exact integer formulation is presented that can be solved only for a reduced number of customer sites to visit. Then, a heuristic approach is proposed to find approximate solutions with huge savings on the computational effort, also for high‐dimensional instances. Numerical results on both real and synthetic scenarios showcase the effectiveness of the approach.

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“…• Reference [10] focuses on providing competitive MILP formulations for the Traveling Salesperson Problem with Time Windows.…”

Section: Related Workmentioning

confidence: 99%

“…• Local+TSPTW-improvement: After the Local Search heuristic we additionally use MILPs proposed in our previous paper [10] for optimizing all single tours that have changed since the last improvement step. In [10] we motivated and analyzed the Traveling Salesperson Problem with Time Windows (TSPTW) that is a subproblem of the cVRPTW as each tour of the delivery schedule corresponds to a TSPTW instance. Optimizing the single tours of a schedule to optimality has been proven to be critical to ensure driver satisfaction.…”

Section: Algorithmic Strategiesmentioning

confidence: 99%

An Optimization Approach to the Ordering Phase of an Attended Home Delivery Service

Cwioro

Hungerländer

Maier

et al. 2019

Integration of Constraint Programming, Artificial Intelligence, and Operations Research

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Attended Home Delivery (AHD) systems are used whenever a supplying company offers online shopping services that require that customers must be present when their deliveries arrive. Therefore, the supplying company and the customer must both agree on a time window, which ideally is rather short, during which delivery is guaranteed. Typically, a capacitated Vehicle Routing Problem with Time Windows forms the underlying optimization problem of the AHD system. In this work, we consider an AHD system that runs the online grocery shopping service of an international grocery retailer.The ordering phase, during which customers place their orders through the web service, is the computationally most challenging part of the AHD system. The delivery schedule must be built dynamically as new orders are placed. We propose a solution approach that allows to (non-stochastically) determine which delivery time windows can be offered to potential customers. We split the computations of the ordering phase into four key steps. For performing these basic steps we suggest both a heuristic approach and a hybrid approach employing mixed-integer linear programs. In an experimental evaluation we demonstrate the efficiency of our approaches.

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Efficient and Easy-to-Implement Mixed-Integer Linear Programs for the Traveling Salesperson Problem with Time Windows

Cited by 10 publications

References 11 publications

New Models for Home Health Care under Uncertainty with Consideration of the Coordinated Development of Economy and Environment

New Models for Home Health Care under Uncertainty with Consideration of the Coordinated Development of Economy and Environment

Optimization of gas metering maintenance services: A multiobjective vehicle routing problem with a set of predefined overlapping time windows

An Optimization Approach to the Ordering Phase of an Attended Home Delivery Service

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