An Investigation in the Initial Solution for Neutrosophic Transportation Problems (NTP)

Abstract

Transportation issues arise often in everyday life. To ensure that the regions' needs for transported material are met at the lowest feasible cost, materials must be carried from production centers to consuming centers as quickly as possible. Operations research approaches, notably mathematical programming, are utilized to solve these recurring and daily challenges. The problem's data is transformed into a mathematical model, and then the best solution is discovered using the proper procedures. When dealing with transportation issues, we arrive at a linear mathematical model, which can be solved using the direct simplex method and its modifications. However, because of the clarity and specificity of the transportation model, scholars and researchers were able to find other methods that were easier than the simplex method.

Keywords

• transportation problem
• neutrosophic transportation problem (ntp
• initial solution
• consumption centers (cc)
• production centers (pc)
• available quantities (aq)
• required quantities (rq)
• north-west corner method
• least-cost method
• vogel's method