Two Chaotic Patterns of Dynamic Risk Definition for Solving Hazardous Materials Routing Problem

Table 1

Best and secondary optimal paths and lengths from Orumieh (node 43) to Khodabandeh (node 71).

Chaos equation	(Cost, risk)	Solution ranking	Ranked most probable path	Length (KM)
	(0, 1)	Best optimal	43 84 54 53 59 60 65 72 75 89 74 71	644	262
		Secondary optimal	43 84 54 53 58 61 64 85 65 72 75 89 74 71	630	27
	(0.3, 0.7)	Best optimal	43 84 54 53 59 60 65 72 75 89 74 71	644	288
		Secondary optimal	43 84 54 53 58 61 64 85 65 72 75 89 74 71	630	29
Logistic	(0.5, 0.5)	Best optimal	43 84 54 53 59 60 65 72 75 89 74 71	644	302
		Secondary optimal	43 84 54 53 58 61 64 85 65 72 75 89 74 71	630	33
	(0.7, 0.3)	Best optimal	43 84 54 53 59 60 65 72 75 89 74 71	644	319
		Secondary optimal	43 84 54 53 58 61 64 85 65 72 75 89 74 71	630	41
	(1, 0)	Best optimal	43 84 54 53 59 60 65 72 75 89 74 71	644	365
		Secondary optimal	No path
	Best solution		(43 84 54 53 59 60 65 72 75 89 74 71)	644
Route to chaos	(0, 1)	Best optimal	43 84 54 53 59 60 65 72 75 89 74 71	644	301
		Secondary optimal	43 84 54 53 58 61 64 85 65 72 75 89 74 71	630	58
	(0.3, 0.7)	Best optimal	43 84 54 53 59 60 65 72 75 89 74 71	644	304
		Secondary optimal	43 84 54 53 58 61 64 85 65 72 75 89 74 71	630	44
	(0.5, 0.5)	Best optimal	43 84 54 53 59 60 65 72 75 89 74 71	644	305
		Secondary optimal	43 84 54 53 58 61 64 85 65 72 75 89 74 71	630	51
	(0.7, 0.3)	Best optimal	43 84 54 53 59 60 65 72 75 89 74 71	644	336
		Secondary optimal	43 84 54 53 58 61 64 85 65 72 75 89 74 71	630	12
	(1, 0)	Best optimal	43 84 54 53 59 60 65 72 75 89 74 71	644	365
		Secondary optimal	No path
	Best solution		(43 84 54 53 59 60 65 72 75 89 74 71)	644

Cost, risk) priority set is ordered by left to right.
Frequency is regarding 365 iterations.