• Title/Summary/Keyword: Traveling Purchase Problem

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The Multiple Traveling Purchaser Problem for Minimizing Logistics Response Time in Wartime (전시 군수반응시간 최소화를 위한 복수 순회구매자 문제)

  • Choi, Myung-Jin
    • Journal of the Korea Institute of Military Science and Technology
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    • v.13 no.3
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    • pp.431-437
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    • 2010
  • It's strongly needed to minimize the logistics response time for supporting military operations in wartime. In this paper, we suggest the ILP formulation for minimizing logistics response time in wartime. Main structure of this formulation is based on the traveling purchaser problem(TPP) which is a generalized form of the well-known traveling salesman problem(TSP). In the case of general TPP, objective function is to minimize the sum of traveling cost and purchase cost. But, in this study, objective function is to minimize traveling cost only. That's why it's more important to minimize traveling cost(time or distance) than purchase cost in wartime. We find out optimal solution of this problem by using ILOG OPL STUDIO(CPLEX v.11.1) and do the sensitive analysis about computing time according to number of operated vehicles.

The Multiple Traveling Purchaser Problem for Minimizing the Maximal Acquisition Completion Time in Wartime (전시 최장 획득완료시간 최소화를 위한 복수 순회구매자 문제)

  • Choi, Myung-Jin;Moon, Woo-Bum;Choi, Jin-Ho
    • Journal of the Korea Institute of Military Science and Technology
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    • v.14 no.3
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    • pp.458-466
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    • 2011
  • In war time, minimizing the logistics response time for supporting military operations is strongly needed. In this paper, i propose the mathematical formulation for minimizing the maximal acquisition completion time in wartime or during a state of emergency. The main structure of this formulation is based on the traveling purchaser problem (TPP), which is a generalized form of the well-known traveling salesman problem (TSP). In the case of the general TPP, an objective function is to minimize the sum of the traveling cost and the purchase cost. However, in this study, the objective function is to minimize the traveling cost only. That's why it's more important to minimize the traveling cost (time or distance) than the purchase cost in wartime or in a state of emergency. I generate a specific instance and find out the optimal solution of this instance by using ILOG OPL STUDIO (CPLEX version 11.1).