A maximum expected covering location model with two types of servers

McLay, Laura A.

doi:10.1080/07408170802702138

Cited by 75 publications

(40 citation statements)

References 28 publications

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“…A similar model, MEXCLP2, was presented by McLay [22] . As its name suggests, this model is an extension of the MEXCLP model with two types of ambulances.…”

Section: Related Workmentioning

confidence: 99%

“…Concerning the second stream of literature, we observe that almost all models with multiple vehicle types make a distinction in the level of care an ambulance can provide: either Advanced (ALS) or Basic Life Support (BLS), and ambulances are classified as such. As stated by McLay [22] , the distinction between transport/non-transport units is studied very rarely, the mentioned paper being an exception.…”

Section: Related Workmentioning

confidence: 99%

“…We present an integer linear program for the computation of compliance tables in such a system, extending both the MECRP model by Gendreau et al [11] and the MEXCLP2 model proposed by McLay [22] , of which we also use the modification of the Hypercube model by Jarvis [12] for the estimation of the input parameters (e.g., busy fractions). We apply the developed model to an EMS region within the Netherlands.…”

Section: Contributionmentioning

confidence: 99%

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Compliance tables for an EMS system with two types of medical response units

Barneveld

Mei

Bhulai

2017

Computers & Operations Research

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a b s t r a c tIn this paper, we consider an Emergency Medical Services (EMS) system with two types of medical response units: Rapid Responder Ambulances (RRAs) and Regular Transport Ambulances (RTAs). The key difference between both is that RRAs are faster, but they lack the ability to transport a patient to the hospital. To maintain the ability to respond to emergency requests timely when ambulances get busy, we consider compliance tables, which indicate the desired locations of the available ambulances. Our system brings forth additional complexity to the problem of computing optimal compliance tables, as we have two kinds of ambulances. We propose an Integer Linear Program (ILP) computing compliance tables for such a system, which uses outcomes of a Hypercube model as input parameters. Moreover, we include nestedness constraints and we set bounds on the relocation times in the ILP. To obtain more credible results, we simulate the computed compliance tables for different input parameters. Results show that bounding the time a relocation may last is beneficial in certain settings. Besides, including the nestedness constraints ensures that the number of relocations and the relocation time is reduced, while the performance stays unaffected.

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“…A similar model, MEXCLP2, was presented by McLay [22] . As its name suggests, this model is an extension of the MEXCLP model with two types of ambulances.…”

Section: Related Workmentioning

confidence: 99%

Section: Related Workmentioning

confidence: 99%

Section: Contributionmentioning

confidence: 99%

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Compliance tables for an EMS system with two types of medical response units

Barneveld

Mei

Bhulai

2017

Computers & Operations Research

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“…They aim to maximize the multiple coverage of demands within a predetermined critical response time with limited number of vehicles. In [40], McLay develops the maximum expected coverage location problem with two types of servers (MEXCLP2) to consider multiple server/facility and demand types and improves survival rates achieved in previous EMS models. In addition to these approaches and applications, a number of surveys provide an excellent vision to covering problems in facility location.…”

Section: Literature Reviewmentioning

confidence: 99%

A multi-criteria assessment of the p-median, maximal coverage and p-center location models

2017

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Original scientific paper Location problems consider locating facilities with the objective of finding their best locations. In most real world problems, it is common that a demand node is required to be covered with multiple facilities in order to ensure a backup supply. The backup supply is necessary especially for public or emergency service location problems where a covered demand may not be serviced if it's designated facility is engaged serving other demands. In this study we consider three classic location models, i.e. p-median, maximal coverage and p-center, and compare their performances with respect to seven decision criteria under Q-coverage requirement. For this purpose, we generate multiple problem instances and solve each instance with the three models for different Q-values. Our numerical results reveal the pros and cons of each model to assist decision makers in determining the most promising model with respect to each assessment criteria. Keywords: backup coverage; facility location; maximal coverage; p-center; p-median Višekriterijska procjena modela lokacije p-srednje, maksimalne pokrivenosti i p-centralnoIzvorni znanstveni članak Problemi lokacije znače lociranje objekata s ciljem pronalaženja najbolje lokacije. Kod većine stvarnih problema uobičajeno je da zahtijevani čvor zadovoljava višestruke uvjete kako bi osigurao rezervnu opskrbu. Ta je rezervna opskrba posebno potrebna kod javnih ili problema lokacije hitne službe kada se pokrivena potražnja ne može osigurati ako je njezin za to određeni objekt zauzet pružanjem usluge drugim zahtijevima. U ovom radu razmatramo tri klasična modela lokacije, t.j. p-srednje, maksimalne pokrivenosti i p-centralno, te uspoređujemo njihovo funkcioniranje u odnosu na sedam kriterija za donošenje odluke u okviru zahtjeva Q-pokrivenosti (Q-coverage). U tu svrhu generiramo slučajeve višestrukih problema i svaki slučaj rješavamo s tri modela za različite Q vrijednosti. Naši numerički rezultati otkrivaju argumente za i protiv svakog modela koji pomažu u donošenju odluke o određivanju modela koji bi najviše odgovarao u odnosu na svaki od kriterija koji se uzimaju u obzir pri donošenju procjene.

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“…McLay [57] proposed an MEXCLP with two types of servers and multiple types of customers (MEXCLP2) to determine the locations of ambulances optimally. The goal of their model is to maximize the expected number of customers in life-threatening situations covered within a specified time.…”

Section: Single Dispatch Total Backup and Non-homogeneous Serversmentioning

confidence: 99%

Hypercube Queuing Models in Emergency Service Systems: A State-of-the-Art Review

2018

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Abstract. This study provides a review of hypercube queuing models (HQMs) in emergency service systems (ESSs). This survey presents a comprehensive review and taxonomy of models, solutions and applications related to the HQM after Larson [12]. In addition, the structural aspects of HQMs are examined. Important contributions of the existing research are addressed by taking into account multiple factors. In particular, the integration of location decisions with HQMs for designing an ESS is discussed. Finally, a list of issues for future studies are presented.

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A maximum expected covering location model with two types of servers

Cited by 75 publications

References 28 publications

Compliance tables for an EMS system with two types of medical response units

Compliance tables for an EMS system with two types of medical response units

A multi-criteria assessment of the p-median, maximal coverage and p-center location models

Hypercube Queuing Models in Emergency Service Systems: A State-of-the-Art Review

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