Browsing by Author "Tharwat, Assem A"

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    EMERGENCY LOCATIONS PROBLEMS
    (October university for modern sciences and Arts (MSA), 2022-12) Tharwat, Assem A; El-Khodary, Ihab A. F; Hassan, Emad El-din H
    The problem of determining the optimum locations for the emergency facility services in the case in which three possible routes between every pair of customers and service center was discussed assuming deterministic values for the parameters of the problem. In this paper, we introduce a description and solution algorithm for this problem focusing on the case in which the values of the spatial separations among the service centres and the customers are not deterministic but stochastic. The introduced solution is depending on hybridizing the Monte-Carlo Simulation technique with the Max-Separable optimization technique
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    Emergency Service Location Problem with Ring Roads
    (Taylor and Francis, 2022-04) Borham, Sally M; Tharwat, Assem A; Hassan, Emad El-din H
    A key purpose of a service network design is to determine the best possible location(s) for each service center. The facility services must provide a quick and easy response to callers within a reasonable distance, especially in urgent cases. It’s well known that this problem is NP-hard, non-convex and non-differentiable optimization problem. However, if we make some simplifying assumptions, the problem could be solved within a polynomial time. This article introduces an algorithm for solving the problem of determining the best possible locations of the emergency service centers, concerning the case in which these centers are located on simple closed curves (e.g., ring roads). The proposed model can be applied in designing the emergency centers on ring roads in new cities, which have become one of the most important designs in solving traffic congestion problems. The problem is mathematically formulated, an algorithm for solving the problem under simplifying assumptions is proposed, the mathematics behind the algorithm is given, and the algorithm is illustrated by a numerical example.