Abstract
In this paper, the locating problem was studied by considering a network of nodes and edges, and also two types of facilities which were defined for locating on nodes. It was assumed that there were three types of consumers, which were classified according to their demands. The first and the second types of them referred to one facility of the first or the second, but the third type of consumers needed the two facilities-the first and the second. These consumers according to their distance to the facilities based on a specified probability, referred to the facilities and solved their problems. Considering the existence of competitors in the market, the aim of this issue is to maximize market share for the new facilities. To solve the problem the hybrid genetic algorithm was used.
Highlights
Materials and methodsThe multi-purpose trips are happening every day
A considerable research has been done on multi-purpose trips (McLafferty & Ghosh,1986; Mulligan,1987; Thill, 1992), but studies on locating the facilities during multi-purpose trips are much of need (Hakimi, 1983; Dobson & Karmarkar,1987; Marianov, 2003; Berman & Huang, 2004, 2007; Huang, 2005; Marianov et al, 2007; Marianov et al, 2008)
We provide hybrid genetic algorithm which was applied earlier for locating network applications (Goodarzian et al, 2011; Nikzad et al, 2011)
Summary
The multi-purpose trips are happening every day. For Problem modeling example, when we get home from work, we may buy some food from shops and take our children from school and on return to home after going to doctor we may buy drugs. We provide hybrid genetic algorithm which was applied earlier for locating network applications (Goodarzian et al, 2011; Nikzad et al, 2011) For this purpose, we considered the issue of locating two kinds of facilities in a network with three types of consumers. 2-2-Decision parameters in problem Model parameters are: i: index of consumer place; j,h: index of facility place; n: number of the nodes in network; γ: parameter of lagit function; xijy : The probability of the consumer’s referral to the facility of place j in place i to show the need y; xijh: The probability of the consumer’s referral to the facility of place j in place i to show the need x and from place j to facility place h in order to shoe the Research article Indian Society for Education and Environment (iSee). The parameters of decision making issue are defined as following: Yix : parameters 0 and 1 as following: 1: constructing facility x in place j; 0: not constructing facility x in place j Yiy: parameters 0 and 1 as following: 1: constructing facility y in place j; 0: not constructing facility y in place j
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
