Open AccessA Two-Level Purchase Problem for Food Retailing in Japan
Author(s) -
Masatoshi Sakawa,
Ichiro Nishizaki,
Takeshi Matsui,
Tomohiro Hayashida
Publication year - 2012
Publication title -
american journal of operations research
Language(s) - English
Resource type - Journals
eISSN - 2160-8849
pISSN - 2160-8830
DOI - 10.4236/ajor.2012.24057
Subject(s) - business , truck , marketing , linear programming , commerce , computer science , engineering , aerospace engineering , algorithm
In this paper, we deal with a purchase problem for food retailing, and formulate a two-level linear programming problem with a food retailer and a distributer. The food retailer deals with vegetables and fruits which are purchased from the distributer; the distributer buys vegetables and fruits ordered from the food retailer at the central wholesale markets in several cities, and transports them by truck from each of the central wholesaler markets to the food retailer’s storehouse. We solve the two-level linear programming problem in which the profits of the food retailer and the distributer are maximized