Research Article

Variable Neighbourhood Search and Mathematical Programming for Just-in-Time Job-Shop Scheduling Problem

Table 2

Results for instances with 15 jobs.

InstanceLB [4]UB [4]CP [5]EA/LS/MP [6]VNS/MP

I-15-2-tight-equal-1331635593641.193344.543344.54
I-15-2-tight-equal-2144915791534.121480.971479.76
I-15-5-tight-equal-1105216631504.041369.781402.99
I-15-5-tight-equal-2199229892993.502728.022693.24
I-15-10-tight-equal-1438983818189.707340.277395.36
I-15-10-tight-equal-2353970395536.075399.206018.21

I-15-2-loose-equal-1103211421249.681041.701041.70
I-15-2-loose-equal-2490520524.10506.44497.97
I-15-5-loose-equal-1276344083745.963267.793302.61
I-15-5-loose-equal-2281840233397.423441.693760.00
I-15-10-loose-equal-175811091033.061078.93986.43
I-15-10-loose-equal-2124222561792.671996.261563.03

I-15-2-tight-tard-1786913835.52790.61790.50
I-15-2-tight-tard-2886956947.17905.73905.37
I-15-5-tight-tard-1101415381530.961389.811405.01
I-15-5-tight-tard-2626843775.01712.50732.15
I-15-10-tight-tard-1649972921.67926.22813.46
I-15-10-tight-tard-295516561663.051304.271459.33

I-15-2-loose-tard-1650730666.37655.35654.84
I-15-2-loose-tard-2278310336.48291.68293.17
I-15-5-loose-tard-1109817231478.971315.531396.54
I-15-5-loose-tard-2314374401.65396.14396.06
I-15-10-loose-tard-1258312300.11356.26282.35
I-15-10-loose-tard-2476855658.90710.55778.40

Sum of best solutionsā€‰111212