Analysis of MCLP, Q-MALP, and MQ-MALP with Travel Time Uncertainty Using Monte Carlo Simulation

This paper compares the application of theMonte Carlo simulation in incorporating travel time uncertainties in ambulance location problem using three models: Maximum Covering Location Problem (MCLP), Queuing Maximum Availability Location Problem (Q-MALP), andMultiserver QueuingMaximum Availability L...

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Bibliographic Details
Main Authors: Abdul Ghani, Noraida (Author), Ahmad, Norazura (Author)
Format: Article
Language:English
Published: Hindawi Publishing Corporation, 2017.
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Summary:This paper compares the application of theMonte Carlo simulation in incorporating travel time uncertainties in ambulance location problem using three models: Maximum Covering Location Problem (MCLP), Queuing Maximum Availability Location Problem (Q-MALP), andMultiserver QueuingMaximum Availability Location Problem (MQ-MALP). A heuristic method is developed to site the ambulances.The models are applied to the 33-node problem representing Austin, Texas, and the 55-node problem. For the 33-node problem, the results showthat the servers are less spatially distributed in Q-MALP andMQ-MALPwhen the uncertainty of server availability is considered using either the independent or dependent travel time. On the other hand, for the 55-node problem, the spatial distribution of the servers obtained by locating a server to the highest hit node location is more dispersed inMCLP and Q-MALP.The implications of the new model for the ambulance services system design are discussed as well as the limitations of the modeling approach.