A Biobjective Fuzzy Integer-Nonlinear Programming Approach for Creating an Intelligent Location-Aware Service

Box 1

Step 1 model for finding the fuzzy JIT path to service location 1 (node 7).

min=56−𝑑71−𝑑72−𝑑73;

18≥𝑑72;

56≥𝑑71+𝑑72+𝑑73;

𝑑11=0;

𝑑12=0;

𝑑13=0;

𝑑31=𝑑11+1;

𝑑32=𝑑12+2;

𝑑33=𝑑13+5;

𝑑41=𝑑11+3;

𝑑42=𝑑12+5;

𝑑43=𝑑13+8;

𝑑71=𝑥37∗𝑑31+2∗𝑥37+𝑥47∗𝑑41+6∗𝑥47;

𝑑72=𝑥37∗𝑑32+4∗𝑥37+𝑥47∗𝑑42+7∗𝑥47;

d73=𝑥37∗𝑑33+4∗𝑥37+𝑥47∗𝑑43+8∗𝑥47;

𝑥37+𝑥47=1;

@bin(𝑥37); @bin(𝑥47);