A New Optimization via Simulation Approach for Dynamic Facility Layout Problem with Budget Constraints

Table 1

The computational results with significant level 99% with 𝑁=6.

𝑇	Problem number	Budget	Average probabilities	NR	Best solution	Best solution by Sahin et al. [26]	% Dev.	Average time
5	P01	1	0.7608	21	106419	106419	0	0.53
		2	0.7984	15	106419	106419	0	0.38
		3	0.8432	10	106419	106419	0	0.26
	P02	1	0.7745	19	105731	105731	0	0.47
		2	0.8432	10	105731	105731	0	0.26
		3	0.8004	15	103429	104834	−1.34	0.38
	P03	1	0.8346	11	103541	106011	−2.33	0.28
		2	0.8343	11	106049	107609	−1.45	0.28
		3	0.7954	16	102092	105762	−3.47	0.39
	P04	1	0.7922	16	106547	106583	−0.03	0.41
		2	0.7732	19	107984	107984	0	0.48
		3	0.851	10	106906	106906	0	0.24
	P05	1	0.8848	7	104786	106328	−1.45	0.18
		2	0.8679	8	107870	107870	0	0.21
		3	0.821	13	106285	106.328	−0.04	0.31
	P06	1	0.8847	7	104315	104315	0	0.18
		2	0.8771	8	107698	107698	0	0.19
		3	0.8213	13	104001	104262	−0.25	0.31
	P07	1	0.9235	5	103582	107406	−3.56	0.12
		2	0.9133	5	104752	108114	−3.11	0.13
		3	0.9011	6	106173	106439	−0.25	0.15
	P08	1	0.8261	12	107248	107248	0	0.3
		2	0.8022	15	107248	107248	0	0.37
		3	0.8045	15	107248	107248	0	0.36
10	P09	1	0.7892	17	220301	220367	−0.03	0.52
		2	0.7954	16	220776	220776	0	0.49
		3	0.8124	14	217251	217251	0	0.42
	P10	1	0.8103	14	216607	217106	−0.23	0.43
		2	0.8092	14	216767	217201	−0.2	0.43
		3	0.8674	8	211837	212134	−0.14	0.26
	P11	1	0.8464	10	211951	214960	−1.4	0.31
		2	0.8522	10	206178	215622	−4.38	0.3
		3	0.8775	8	215393	215393	0	0.23
	P12	1	0.8923	7	216828	216828	0	0.2
		2	0.8955	6	216828	216828	0	0.2
		3	0.798	15	216828	216828	0	0.48
	P13	1	0.8563	9	205695	211620	−2.8	0.28
		2	0.8543	9	210958	213304	−1.1	0.29
		3	0.8439	10	205060	211620	−3.1	0.32
	P14	1	0.7845	17	211916	212341	−0.2	0.54
		2	0.798	15	207966	213430	−2.56	0.48
		3	0.8238	12	205335	213424	−3.79	0.38
	P15	1	0.8842	7	217221	217460	−0.11	0.22
		2	0.8906	7	218291	218794	−0.23	0.21
		3	0.8578	9	214136	214823	−0.32	0.28
	P16	1	0.77	20	171712	220144	−22	0.61
		2	0.7903	16	189324	220144	−14	0.51
		3	0.8431	10	181917	219177	−17	0.32
	Average		0.8348	12	157616	161343	−1.89	0.33