the vehicle routing problem with backhauls (vrpb) as an extension of the classical vehicle routing prob-lem (vrp) attempts to define a set of routes which services both linehaul customers whom product are to be delivered and backhaul customers whom goods need to be collected. a primary objective for the problem usually is minimizing the total distribution cost. most real-life problems have othe...

in recent years according to the growing companies andproducts supplied, and competition between them has intensified. productsand diversity, one of the main concerns of commercial institutions.therefore, selecting the media to introduce and is important therelationship between customers’ products. given the multiplicity of mediain promoting and marketing the products, they are the optimalchoic...

location selection is one of the most important activities in establishment of bank branches. choosing a suitable location have a direct impact on the performance of banks and also facilitating the achievement of other objectives. there are a lot of influential factors on the location selection which are complicated and therefore the traditional methods cannot be used. so we need to have a suit...

The crew cost constitutes 20% of the direct operating in airline operations after aircraft fuel cost. Effective scheduling can save tens millions dollars to airlines and result low-cost flight tickets for passengers improved quality life crew. pairing requires addressing union expectations, company rules, regulations countries' civil aviation authorities. In this study, bi-objective goal progra...

This paper proposes the use of a goal programming model for objective ranking universities. methodology has been successfully used in other areas to analyze performance firms by focusing on two opposite approaches: (a) one favouring those variables that are aligned with central tendency majority measurement performance, and (b) an alternative favours different, singular, or independent variable...