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Salah Salimian, Kiumars Shahbazi, Mahdi M. Beknazar: Locating The Sale Agents In Spoke Model
                             Through Uniform Distribution Of Consumers


                    INTRODUCTION
                    In contemporary world, with intensification of the competition between firms and
                    manufacturers, the provision of services in locations intended by the consumers is
                    determining factor in customer attraction and maintenance. The issue of location in
                    economics deals with finding optimal location to achieve the objective defined by the
                    firm. This objective could be earning higher profit, achievement of higher market
                    share,  reduction  of  distribution  costs  and  etc.  for  manufacturer.  The  selection  of
                    optimal location could guarantee the long-term profitability of the firm such that the
                    survival of the firm or institution would be endangered in case of failure in performing
                    such  examinations.  Locating  has  also  great  effect  on  the  ability  of  earning  and
                    maintenance of competitive advantage (Choo & Mazzrol, 2003). Moreover, if there
                    was a basic method based on scientific trends and specified indices for evaluation of
                    the optimal location and number of sale agents, now there would be no failure of sale
                    agents in most markets  and most of them would have not been given permit and
                    license (Unido, 1985).

                    In  contemporary  world,  the  manufacturers  mostly  do  not  engage  directly  with
                    consumers (who are called end users); rather, they sell their products to the agents and
                    distributors who mostly sell their products by retail price. In literature of economics,
                    the agreements between manufacturers and retailers are called vertical restraints. The
                    common  agreements  between  manufacturers  and  distributors  include:  exclusive
                    territorial  arrangements,  exclusive  dealership,  full-line  forcing  and  resale  price
                    maintenance (Shy Oz, 1995)

                    All these arrangements are along with payment agreements which specify the manner of
                    payment of sold product to the manufacturer. In following, it is assumed that supplying
                    through sale agents is profitable for manufacturers. Although various studies have dealt
                    with non-competitive locating, most of them have been based on geographical methods
                    and this issue has not been taken into account from the economic point of view. The
                    competitive locating models had been developed from Hotelling linear city model in 1929
                    and have been so far conforming to the real world more and more. By actualization and
                    expansion of this model to circular city model, the location related problems were solved.
                    Following  the  expansion  of  these  models,  Chen  &  Riordan  (2007)  and  Lijesen  &
                    Reggiani (2013) presented spoke model which despite its simplifying assumptions is
                    closer to real world. This model is a natural extension of the classic Hotelling (1929)
                    model to a set of vanes with a center. The difference of spoke model with circular city
                    model is in the junction of streets through center which does not exist in circular city
                    model. The spoke model is an important alternative to the circular city model when the
                    effects of competition are not present (Salop, 1979).



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