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An inventory model of purchase quantity for fully-loaded vehicles with maximum trips in consecutive transport time

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Products made overseas but sold in Taiwan are very common. Regarding the cross-border or interregional production and marketing of goods, inventory decisionmakers often have to think about how to determine the amount of purchases per cycle, the number of transport vehicles, the working hours of each transport vehicle, and the delivery by ground or air transport to sales offices in order to minimize the total cost of the inventory in unit time. | Yugoslav Journal of Operations Research 23 (2013) Number 3, 457-466 DOI: 10.2298/YJOR120718013C AN INVENTORY MODEL OF PURCHASE QUANTITY FOR FULLY-LOADED VEHICLES WITH MAXIMUM TRIPS IN CONSECUTIVE TRANSPORT TIME Pоуu CHEN Department of Advertising, Ming Chuan University, Taipei, Taiwan chenboy@mail.mcu.edu.tw Received: July 2012 / Accepted: April 2013 Abstract: Products made overseas but sold in Taiwan are very common. Regarding the cross-border or interregional production and marketing of goods, inventory decisionmakers often have to think about how to determine the amount of purchases per cycle, the number of transport vehicles, the working hours of each transport vehicle, and the delivery by ground or air transport to sales offices in order to minimize the total cost of the inventory in unit time. This model assumes that the amount of purchases for each order cycle should allow all rented vehicles to be fully loaded and the transport times to reach the upper limit within the time period. The main research findings of this study included the search for the optimal solution of the integer planning of the model and the results of sensitivity analysis. Keywords: Inventory, Economic order quantity, Transportation cost, Transnational trade. MSC: 90B05, 90B06. 1. INTRODUCTION This paper introduces the modified traditional EOQ model of fixed demand rate and unallowed stock-out. There are three key points of modification: 1) different decision variables for inventory decision makers: in addition to determining how many freight vehicles to hire simultaneously, the decision maker has to calculate the times for the back and forth transportation of each vehicle in the upper limit of the given hire time of each 458 P. Chen / An Inventory Model Of Purchase Quantity For Fully Load vehicle, in order to determine the purchase amount per cycle; 2) the decision variable of the number of hired freight vehicles is an integer; 3) the purchase amount of each cycle (opening stock

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