Abstract
The continuous single-source capacitated multi-facility Weber problem (SSCMFWP) where setup cost of opening facilities is taken into account is investigated. The aim is to locate a set of facilities on the plane, to define their respective capacities which can be linked to the configuration of the processing machines used, and to allocate customers to exactly one facility with the objective being the minimisation of the total transportation and setup costs. A new nonlinear mathematical model based on the SSCMFWP is introduced where Rectilinear and Euclidean distances are used. Efficient metaheuristic approaches based on Variable Neighbourhood Search and Simulated Annealing are also developed. The proposed metaheuristics incorporate an exact method and the commonly used Cooper’s alternate location-allocation method. We also constructed a new data set to reflect the characteristic of this particular location problem as no data set is available in the literature. Computational experiments show that the proposed metaheuristics generate interesting results for this class of continuous location problems.
Highlights
The continuous single-source capacitated multi-facility Weber problem (SSCMFWP) is to seek the location of p facilities on the plane and the allocation of each customer to exactly one of the open facilities so that the sum of the total transportation costs is minimised
The SSCMFWP is studied where the setup cost of establishing an open facility is based on the capacity which is related to the configuration of the machines used
The continuous single-source capacitated multi-facility Weber problem (SSCMFWP) is studied where setup cost of facilities is considered by a set of capacitated machines
Summary
The continuous single-source capacitated multi-facility Weber problem (SSCMFWP) is to seek the location of p facilities on the plane and the allocation of each customer to exactly one of the open facilities so that the sum of the total transportation costs is minimised. The SSCMFWP is studied where the setup cost of establishing an open facility is based on the capacity which is related to the configuration of the machines used. The problem that we study differs from the recent study of Irawan et al (2017) where the authors considered each facility to require one type of machinery only This kind of applications can be found in engineering and manufacturing where the number of machine types is limited to 3 or due to high design cost and due to the limited usage. The conclusions and some highlights of future research are presented in the last section
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