Parseh Designers Transportation Research Institute Quarterly Journal of Transportation Engineering 2008-6598 7 1 2015 10 23 Optimal Allocation of Emergency Service Vehicles with Batch Arrival of Demand Optimal Allocation of Emergency Service Vehicles with Batch Arrival of Demand 31 44 14039 FA Roya Davoudi Farzad Dehghanian Mohammadali Pirayesh Journal Article 2014 03 13 This paper deals with the problem of allocation of emergency service vehicles (ESVs) to emergency service stations in order to maximize the expected covering of the demands. Most of the previous studies in this area assume that every call needs only one ESV; however real experiences demonstrate that these assumptions are not valid. Hence, in this paper we are going to develop a model that could dedicate more than one ESV to each call. For this purpose, we use the queue theory with batch arrivals to calculate the availability rate of ESVs in each station. A mixed integer programming model is provided to determine the optimal number of ESVs in each predetermined emergency stations. A real case study is implemented in Mashhad for finding the number of ESVs in gas emergency stations. Model is optimally solved by CPLEX and results are discussed and some analyses on parameters of the model are done. This paper deals with the problem of allocation of emergency service vehicles (ESVs) to emergency service stations in order to maximize the expected covering of the demands. Most of the previous studies in this area assume that every call needs only one ESV; however real experiences demonstrate that these assumptions are not valid. Hence, in this paper we are going to develop a model that could dedicate more than one ESV to each call. For this purpose, we use the queue theory with batch arrivals to calculate the availability rate of ESVs in each station. A mixed integer programming model is provided to determine the optimal number of ESVs in each predetermined emergency stations. A real case study is implemented in Mashhad for finding the number of ESVs in gas emergency stations. Model is optimally solved by CPLEX and results are discussed and some analyses on parameters of the model are done. https://jte.sinaweb.net/article_14039_181cf41ce37cf9128e1d95896661c5c9.pdf