This paper presents a new mathematical model, in which the location of hubs is fixed and their capacity is determined based on facilities and factories allocated to it. In order to feed the client's nodes, different types of vehicles of different capacities are considered, in which the clients are allocated to hubs, and types and numbers of vehicles are allocated to the factory's facilities. To...

The paper deals with the public service system design, in which the generalized utility is to be maximized. The generalized utility defined for a public service system assumes that user’s utility comes generally from more than one located service center, on the contrary to the former formulations, where only one service center was taken into account as a source of individual user’s utility. Cla...

hub location problems are among the extensions ofclassical location problems that have numerous applications in designingtransportation, postal, and telecommunication networks. despite the evidentattention of researchers to these problems, there are few studies on designinghub networks under uncertainty and disruption. in this study, the capacitatedsingle allocation hub location problem under d...

This paper studies a covering problem on graph which is a variant of facility location problem. In this research, constraints are considered to improve the previous model. These constraints have not considered previously. The first constraint limits the capacity of the facilities and the other one considers different coverage distances. The objective is to determine the optimal subset of candid...

This study presents a capacitated multi-facility location-allocation problem with stochastic demands based on a well-known distribution function. In this discrete environment, besides the capacitated facilities, we can employee the capacitated sub-source of each facility for satisfying demands of customers. The objective function is to find the optimal locations of facilities among a finite num...

This comprehensive work explores the research performed inoptimization of the collection bin and in recycle bin location-allocation issues in solidwaste management. Although the collection phase of solid waste management accountsfor a significant proportion of the municipal budget, it has attracted only limitedattention of the researchers. Optimization of the collection bin and recycle bin loca...