Table 2 The algorithm for calculating the proposed metric
Input{Pij for i ∈ I, j ∈ J, Sj for j ∈ J, Di for i ∈ I} = Output{Ai, for i ∈ I} | |
|---|---|
Step 1. Calculate the choice probability, Pij for each demand–supply pair (i, j) | |
- \( {P}_{ij}=\frac{\exp \left({V}_{ij}\right)}{\sum_{k\in J}\exp \left({V}_{ik}\right)} \) | (2) |
Step 2. Calculate the supply to potential demand ratio, Rij, by fixing each facility j | |
- \( {R}_{ij}=\frac{S_j}{\sum_{i\in I}{D}_i{P}_{ij}} \) | (3) |
Step 3. Sum the ratio, Rij, for each population location i | |
- \( {A}_i={\sum}_{j\in {J}_i}{R}_{ij}{P}_{ij} \) | (4) |