Journal Article

·2018 OPEN ACCESS

A Solution Algorithm for Interval Transportation Problems via Time-Cost Tradeoff

İnci Albayrak YTU , Mustafa Sivri YTU , Gizem Temelcan YTU

JOURNAL OF ADVANCES IN MATHEMATICS

Abstract

In this paper, an algorithm for solving interval time-cost tradeoff transportation problemsis presented. In this problem, all the demands are defined as intervalto determine more realistic duration and cost. Mathematical methods can be used to convert the time-cost tradeoff problems to linear programming, integer programming, dynamic programming, goal programming or multi-objective linear programming problems for determining the optimum duration and cost. Using this approach, the algorithm is developed converting interval time-cost tradeoff transportation problem to the linear programming problem by taking into consideration of decision maker (DM).

Keywords

Interval (graph theory) Mathematical optimization Linear programming Duration (music) Decision maker Integer programming Transportation theory Mathematics Dynamic programming Linear-fractional programming Algorithm Computer science Operations research

Subject Areas

Optimization and Mathematical Programming ·Control and Systems Engineering ·Physical Sciences
Multi-Criteria Decision Making ·Management Science and Operations Research ·Social Sciences
Vehicle Routing Optimization Methods ·Industrial and Manufacturing Engineering ·Physical Sciences