closed loop in transportation problem


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  • Can vehicle routing problems be integrated into a closed-loop supply chain network?

    This study proposes a theoretical model incorporating vehicle routing problems (VRPs) into the typical CLSC (closed-loop supply chain) network architecture. This combination assists all operators to act more efficiently in terms of environmental protection and profitability.

  • What is a balanced transportation problem?

    This problem is balanced transportation problem as total supply is equal to total demand. will be used here to find the initial basic feasible solution. One can also use to find the initial basic feasible solution. Using we get the following solution. Check whether m + n – 1 = total number of allocated cells.

  • Why do we use closed loops in a cost matrix?

    Each iteration includes the formation of closed loops* for each of the non-basic cells in the cost matrix. This helps in determining whether the current iteration has all the best routes. If not, then the only penalty imposed is to perform additional iterations.

  • How do you solve a transportation problem?

    There are two phases to solve the transportation problem. In the first phase, the initial basic feasible solution has to be found and the second phase involves optimization of the initial basic feasible solution that was obtained in the first phase. There are three methods for finding an initial basic feasible solution,

Least-Looping Stepping-Stone Method

The stepping-stone Method [14] emerged from the idea of crossing a pond making use of stepping stones. The entire cost matrix is considered as a pond and the basic cells are the stones required for certain sequential movement within the pond. In other words, it is an iterative approach to reach the optimal solution from an IBFS. Each iteration incl

Ls-Asm Algorithm

Consider the given TP and construct its transportation table. 1. Step1: If the transportation table is not balanced, then balance it by adding suitable dummy rows/columns. Else, proceed. 2. Step 2: Subtract each row minima from the corresponding row costs and each column minima from the corresponding column costs. 3. Step 3: Select a zero appearing

Case Studies

In this section, an attempt is made to justify the efficiency of the proposed LS-ASM method in solving TPs. Hence, a set of varieties of TPs are being considered both from crisp and fuzzy environment. Keeping in view the above fact, the TPs of the following categories have been solved by LS-ASM. 1. Balanced TPs in crisp environment (case studies-1

Real-Life Iftp

To realize the effectiveness of LS-ASM in real-life problem, a TIFTP from Kumar et al. [6] has been considered here in this section. The problem comprises of an umbrella company where the company manager wishes to transport umbrellas from three different factories to three different retail stores. The dataset for the transporation table is mentione

Transportation Problem (Part-11): Loop in Transportation Problem

Transportation Problem (Part-11): Loop in Transportation Problem

Transportation Problem (Part-12): Example of a Transportation Problem Involving many Loops

Transportation Problem (Part-12): Example of a Transportation Problem Involving many Loops

How to Optimize a Transportation Problem

How to Optimize a Transportation Problem

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